diff --git "a/JEE-Main-Hindi.json" "b/JEE-Main-Hindi.json"
--- "a/JEE-Main-Hindi.json"
+++ "b/JEE-Main-Hindi.json"
@@ -8,6 +8,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "2(M)HCl \u0915\u0947 250 mL \u0915\u0947 \u0938\u093e\u0925 0.5(M)HCl \u0915\u0947 750 mL \u092e\u093f\u0932\u093e\u0928\u0947 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u092e\u094b\u0932\u0930\u0924\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"0.875 M",
@@ -27,6 +28,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u0917\u0948\u0938\u0940\u092f \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0926\u093f \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u0917\u0924\u093f \u0915\u094b C*, \u0914\u0938\u0924 \u0917\u0924\u093f \u0915\u094b C \u0914\u0930 \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u0917\u0924\u093f \u0915\u094b C \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u092c\u0921\u093c\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0907\u0928 \u0917\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948\u0902 :",
"options": [
"C* : C : C = 1.225 : 1.128 : 1",
@@ -46,6 +48,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0920\u094b\u0938 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0938\u0939\u0938\u0902\u092f\u094b\u091c\u0915 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948?",
"options": [
"\u0906\u092f\u094b\u0921\u0940\u0928",
@@ -65,6 +68,7 @@
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0917\u094d\u0932\u0942\u0915\u094b\u0938 \u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0923\u0941 \u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u0948\u0902:",
"options": [
"ATP \u0915\u0947 18 \u0905\u0923\u0941",
@@ -84,6 +88,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u0938\u0932\u094d\u092b\u093e\u0907\u0921 \u0938\u094b\u0932 \u0915\u0947 \u0932\u093f\u092f\u0947 Na\u207a, Al\u00b3\u207a \u0914\u0930 Ba\u00b2\u207a \u0906\u092f\u0928\u094b\u0902 \u0935\u093e\u0932\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f\u094b\u0902 \u0915\u093e \u0938\u094d\u0915\u0902\u0926\u0928 \u092c\u0932 \u0928\u093f\u092e\u094d\u0928 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u092c\u0922\u093c\u0924\u093e \u0939\u0948:",
"options": [
"Al\u00b3\u207a < Ba\u00b2\u207a < Na\u207a",
@@ -103,6 +108,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": " x + 1 / x^(2/3) - x^(1/3) + 1 - x - 1 / x - x^(1/2) \u0915\u093e \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 x \u0938\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u092a\u0926 \u0939\u0948 :",
"options": [
"4",
@@ -122,6 +128,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": " y = \u221ax, 2y - x + 3 = 0 \u0924\u0925\u093e x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0918\u093f\u0930\u0947 \u0909\u0938 \u0915\u094d\u0937\u0947\u0924\u094d\u0930, \u091c\u094b \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0915\u093e (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u092e\u0947\u0902) \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948 :",
"options": [
"9",
@@ -141,6 +148,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": " \u092e\u093e\u0928\u093e \u090f\u0915 n-\u092d\u0941\u091c\u093e\u0913\u0902 \u0935\u093e\u0932\u0940 \u0938\u092e\u092c\u0939\u0941\u092d\u0941\u091c \u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 \u0915\u094b \u092e\u093f\u0932\u093e\u0915\u0930 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u0924\u094d\u0930\u093f\u092d\u0941\u091c\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e Tn \u0939\u0948\u0964 \u092f\u0926\u093f Tn+1 - Tn = 10 \u0939\u0948, \u0924\u094b n \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"7",
@@ -160,6 +168,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": " \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 q \u092e\u093e\u0928 \u0915\u0947 \u0926\u094b \u0906\u0935\u0947\u0936 x = -a \u0914\u0930 x = a \u092a\u0930 x - \u0905\u0915\u094d\u0937 \u092a\u0930 \u0930\u0916\u0947 \u0939\u0948\u0902\u0964 \u0938\u094d\u0935\u092f\u092e\u093e\u0928 m \u0914\u0930 \u0906\u0935\u0947\u0936 q0 = q/2 \u0915\u093e \u090f\u0915 \u0915\u0923 \u092e\u0942\u0932\u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u0935\u0947\u0936 q0 \u0915\u094b y - \u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0905\u0932\u094d\u092a-\u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 (y << a) \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u092c \u0915\u0923 \u092a\u0930 \u0915\u093e\u0930\u094d\u092f\u0930\u0924 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092c\u0932 \u0907\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948 :",
"options": [
"y",
@@ -179,6 +188,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u090f\u0915 \u0915\u092e\u0930\u0947 \u0915\u0940 \u0938\u092a\u094d\u0932\u093e\u0908 \u0935\u094b\u0932\u094d\u091f\u0924\u093e 120 V \u0939\u0948\u0964 \u0924\u093e\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 6 \u03a9 \u0939\u0948\u0964 \u090f\u0915 60 W \u092c\u0932\u094d\u092c \u092a\u0939\u0932\u0947 \u0938\u0947 \u0939\u0940 \u091c\u0932 \u0930\u0939\u093e \u0939\u0948\u0964 \u0907\u0938 \u092c\u0932\u094d\u092c \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092e\u0947\u0902 240 W \u0915\u093e \u0939\u0940\u091f\u0930 \u091c\u0932\u093e\u0928\u0947 \u092a\u0930 \u092c\u0932\u094d\u092c \u0915\u0940 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0940 \u0915\u092e\u0940 \u0906\u092f\u0947\u0917\u0940?",
"options": [
"\u0936\u0942\u0928\u094d\u092f \u0935\u094b\u0932\u094d\u091f",
@@ -198,6 +208,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u090f\u0915 \u0921\u093e\u092f\u094b\u0921 \u0938\u0902\u0938\u0942\u091a\u0915 \u0915\u094b, 250 \u092a\u093f\u0915\u094b \u092b\u0948\u0930\u0921 \u0935\u093e\u0932\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u0947 100 \u0915\u093f\u0932\u094b \u0913\u092e \u0915\u0947 \u0932\u094b\u0921 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u0947 \u0938\u093e\u0925 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u0915\u0930, 60% \u092e\u093e\u0921\u0941\u0932\u0947\u0936\u0928 \u0935\u093e\u0932\u0940 \u0906\u092f\u093e\u092e \u092e\u093e\u0921\u0941\u0932\u0947\u091f \u0924\u0930\u0902\u0917 \u0915\u093e \u092a\u0924\u093e \u0932\u0917\u093e\u0928\u0947 \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0921\u0941\u0932\u093f\u0924 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u091c\u093f\u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"10.62 MHz",
@@ -217,6 +228,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u090f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e I\u2080 \u0915\u0940 \u0905\u0927\u0942\u0935\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u092a\u0941\u0902\u091c \u090f\u0915 \u092a\u094b\u0932\u0930\u093e\u092f\u0921 A \u0938\u0947 \u0917\u0941\u091c\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 \u0909\u0938\u0947 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u092a\u094b\u0932\u0930\u093e\u092f\u0921 B \u0938\u0947 \u0917\u0941\u091c\u093e\u0930\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 B \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0924\u0932 A \u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u0924\u0932 \u0938\u0947 45\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0930\u094d\u0917\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"I\u2080",
@@ -236,6 +248,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0932\u092e\u094d\u092c\u093e\u0908 1 cm \u0915\u0947 \u0926\u094b \u091b\u094b\u091f\u0947 \u091b\u0921\u093c \u091a\u0941\u092e\u094d\u092c\u0915\u094b\u0902 \u0915\u0947 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u094d\u0930\u092e\u0936\u0903 1.20 Am\u00b2 \u090f\u0935\u0902 1.00 Am\u00b2 \u0939\u0948\u0964 \u0907\u0928\u0915\u0947 N \u0927\u094d\u0930\u0941\u0935\u094b\u0902 \u0915\u094b \u0926\u0915\u094d\u0937\u093f\u0923 \u0915\u0940 \u0913\u0930 \u0907\u0902\u0917\u093f\u0924 \u0915\u0930 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0907\u0928\u094d\u0939\u0947\u0902 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092e\u0947\u091c \u092a\u0930 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0928\u0915\u0940 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u092e\u0927\u094d\u092f \u0930\u0947\u0916\u093e \u0939\u0948 \u0914\u0930 \u0907\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 20.0 cm \u0939\u0948\u0964 \u0907\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0915\u0947 \u092e\u0927\u094d\u092f \u092c\u093f\u0928\u094d\u0926\u0941 O \u092a\u0930 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 \u0915\u093e \u092e\u093e\u0928 \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"3.6\u00d710\u207b\u2075 Wb/m\u00b2",
@@ -255,6 +268,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092f\u0926\u093f z \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092e\u093e\u092a\u093e\u0902\u0915 \u090f\u0915 \u0907\u0915\u093e\u0908 \u0939\u0948 \u0924\u0925\u093e \u0915\u094b\u0923\u093e\u0902\u0915 \u03b8 \u0939\u0948, \u0924\u094b \u0915\u094b\u0923\u093e\u0902\u0915 \\(\\frac{1+z}{1+ \\overline{z}}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-\u03b8",
@@ -274,6 +288,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "ABCD \u090f\u0915 \u0910\u0938\u093e \u0938\u092e\u0932\u0902\u092c \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 AB \u0924\u0925\u093e CD \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0939\u0948\u0902 \u0924\u0925\u093e BC\u22a5CD \u0939\u0948\u0964 \u092f\u0926\u093f \u2220ADB=\u03b8, BC=p \u0924\u0925\u093e CD=q \u0939\u0948, \u0924\u094b AB \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\frac{(p^2 + q^2)sin\u03b8}{p cos\u03b8 + q sin\u03b8}\\)",
@@ -293,6 +308,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092f\u0926\u093f P = \\(\\begin{bmatrix} 1 & \\alpha & 3 \\\\ 1 & 3 & 3 \\\\ 2 & 4 & 4 \\end{bmatrix}\\) \u090f\u0915 3\u00d73 \u0910\u091c\u0949\u0907\u0902\u091f A \u0915\u093e \u0938\u0939\u092f\u094b\u091c\u0915 \u0939\u0948 \u0924\u0925\u093e |A|=4 \u0939\u0948, \u0924\u094b \u03b1 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4",
@@ -312,6 +328,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "Ca, Ba, S, Se \u0914\u0930 Ar \u0915\u0947 \u0932\u093f\u092f\u0947 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u092a\u094d\u0930\u0925\u092e \u0906\u092f\u0928\u0928 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0915\u0947 \u092c\u0922\u093c\u0924\u0947 \u0915\u094d\u0930\u092e \u0915\u094b \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"Ca < S < Ba < Se < Ar",
@@ -331,6 +348,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 - E = -2.178 x 10^-18 (Z^2/n^2). \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u094b n = 1 \u0938\u0947 n = 2 \u0938\u094d\u0924\u0930 \u092a\u0930 \u0909\u0924\u094d\u0924\u0947\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u094b\u0917\u0940 :",
"options": [
"1.214 x 10^-7 m",
@@ -350,6 +368,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0926\u0930 \u0926\u094b \u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u091c\u092c \u0907\u0938\u0915\u093e \u0924\u093e\u092a 300 K \u0938\u0947 310 K \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"53.6 kJ mol\u207b\u00b9",
@@ -369,6 +388,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0906\u0923\u0935\u093f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 180 \u0935\u093e\u0932\u0947 \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u093e \u091c\u092c CH\u2083COCl \u0915\u0947 \u0938\u093e\u0925 \u090f\u0938\u0940\u0932\u0940\u0915\u0930\u0923 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 390 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0939\u0932\u0947 \u0935\u093e\u0932\u0947 \u092f\u094c\u0917\u093f\u0915 \u0915\u0947 \u090f\u0915 \u0905\u0923\u0941 \u092e\u0947\u0902 \u090f\u092e\u093f\u0928\u094b \u0938\u092e\u0942\u0939 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"2",
@@ -388,6 +408,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0909\u0928\u0915\u0947 \u0938\u093e\u092e\u0928\u0947 \u0926\u093f\u090f \u0917\u090f \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u0915\u0947 \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0915\u094b \u092a\u094d\u0930\u0938\u094d\u0924\u0941\u0924 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"V\u00b2\u207a < Cr\u00b2\u207a < Mn\u00b2\u207a < Fe\u00b2\u207a : \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0935\u094d\u092f\u0935\u0939\u093e\u0930",
@@ -407,6 +428,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u090f\u0901 \\( \\frac{x-2}{1} = \\frac{y-3}{1} = \\frac{z-4}{-k} \\) \u0924\u0925\u093e \\( \\frac{x-1}{k} = \\frac{y-4}{2} = \\frac{z-5}{1} \\) \u0938\u092e\u0924\u0932\u0940\u092f \u0939\u0948\u0902, \u0924\u094b k \u0915\u093e :",
"options": [
"\u0915\u094b\u0908 \u092d\u0940 \u092e\u093e\u0928 \u0938\u0902\u092d\u0935 \u0939\u0948\u0964",
@@ -426,6 +448,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u092f\u0926\u093f \u0938\u0926\u093f\u0936 \\( \\overrightarrow{AB} = 3\\hat{i} + 4\\hat{k} \\) \u0924\u0925\u093e \\( \\overrightarrow{AC} = 5\\hat{i} - 2\\hat{j} + 4\\hat{k} \\) \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0939\u0948\u0902, \u0924\u094b A \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948 :",
"options": [
"\\( \\sqrt{18} \\)",
@@ -445,6 +468,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e k, \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f [0, 1] \u092e\u0947\u0902 \u0938\u092e\u0940\u0915\u0930\u0923 \\( 2x^3 + 3x + k = 0 \\) \u0915\u0947 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u0942\u0932 \u0939\u0948\u0902,",
"options": [
"1 \u0924\u0925\u093e 2 \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
@@ -464,6 +488,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 L, \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0914\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u092a\u0930\u093f\u091b\u0947\u0926 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 A \u0935\u093e\u0932\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u092c\u0947\u0932\u0928 \u0915\u094b \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928\u0930\u0939\u093f\u0924 \u0915\u092e\u093e\u0928\u0940 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0928\u093f\u092f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0907\u0938\u0915\u093e \u0906\u0927\u093e \u092d\u093e\u0917 \u0926\u094d\u0930\u0935 \u03c3 \u0915\u0947 \u0926\u094d\u0930\u0935 \u092e\u0947\u0902 \u0921\u0942\u092c\u093e \u0930\u0939\u0947\u0964 \u091c\u092c \u092f\u0939 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0924\u092c \u0915\u092e\u093e\u0928\u0940 \u092e\u0947\u0902 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 x\u2080 \u0939\u0948:",
"options": [
"Mg/k",
@@ -483,6 +508,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0924\u0924\u094d\u0935\u094b\u0902 \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0947 \u090f\u0915 \u0915\u0947 \u092c\u093e\u0926 \u090f\u0915 \u0906\u0928\u0947 \u0935\u093e\u0932\u0947 \u091a\u093e\u0930 \u0938\u0926\u0938\u094d\u092f \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u094d\u0930\u092e\u093e\u0902\u0915 \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928\u092e\u0947\u0902 \u0915\u093f\u0938\u0915\u093e E0 M3+/M2+ \u092e\u093e\u0928 \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e?",
"options": [
"Cr(Z = 24)",
@@ -502,6 +528,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "lim x\u21920 (1 - cos 2x)(3 + cos x) / x tan 4x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-1/4",
@@ -521,6 +548,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u0915\u0925\u0928 - I : \u0938\u092e\u093e\u0915\u0932\u0928 \u03c0/6 \u0938\u0947 \u03c0/3 \u222b dx / 1 + \u221atanx \u0915\u093e \u092e\u093e\u0928 \u03c0/6 \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
@@ -540,6 +568,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u0926\u0940 \u0917\u0908 x^2/16 + y^2/9 = 1 \u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0909\u0938 \u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (0, 3) \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x^2 + y^2 - 6y - 7 = 0",
@@ -559,6 +588,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u090f\u0915 \u092c\u0939\u0941\u0935\u093f\u0915\u0932\u094d\u092a\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 5 \u092a\u094d\u0930\u0936\u094d\u0928 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u0947 3 \u0935\u0948\u0915\u0932\u094d\u092a\u093f\u0915 \u0909\u0924\u094d\u0924\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0938\u0939\u0940 \u0939\u0948\u0964 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0947\u0935\u0932 \u0905\u0928\u0941\u092e\u093e\u0928 \u0938\u0947 4 \u092f\u093e \u0909\u0938\u0938\u0947 \u0905\u0927\u093f\u0915 \u092a\u094d\u0930\u0936\u094d\u0928\u094b\u0902 \u0915\u0947 \u0938\u0939\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"17/3^5",
@@ -578,6 +608,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 (0, 1), (1, 1) \u0924\u0925\u093e (1, 0) \u0939\u0948\u0902, \u0915\u0947 \u0905\u0902\u0924\u0903\u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u093e x- \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"2 + \u221a2",
@@ -597,6 +628,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "HCl \u0915\u0947 \u090f\u0915 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 1 \u0932\u0940\u091f\u0930 \u092e\u0947\u0902 \u091c\u093f\u0938\u0915\u093e pH \u092e\u093e\u0928 1 \u0939\u0948, \u091c\u0932 \u0915\u0947 \u0915\u093f\u0924\u0928\u0947 \u0932\u0940\u091f\u0930 \u092e\u093f\u0932\u093e\u090f\u0902 \u0915\u093f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u093e pH \u092e\u093e\u0928 2 \u0939\u094b \u091c\u093e\u090f?",
"options": [
"0.1 L",
@@ -616,6 +648,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "Na \u0915\u093e \u092a\u094d\u0930\u0925\u092e \u0906\u092f\u0928\u0940\u0915\u0930\u0923 \u0935\u093f\u092d\u0935 5.1 eV \u0939\u0948\u0964 Na\u207a \u0915\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u092a\u094d\u0930\u093e\u092a\u094d\u0924\u093f \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0928\u093f\u092e\u094d\u0928 \u0939\u094b\u0917\u0940:",
"options": [
"-2.55 eV",
@@ -635,6 +668,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 A, NH\u2083 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 B \u0926\u0947\u0924\u093e \u0939\u0948, \u091c\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 C \u0926\u0947\u0924\u093e \u0939\u0948\u0964 KOH \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 C, Br\u2082 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 CH\u2083CH\u2082NH\u2082 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 A \u0939\u0948:",
"options": [
"CH\u2083COOH",
@@ -654,6 +688,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u0938\u094d\u0925\u093f\u0930\u0924\u093e Li\u2082, Li\u2082\u207b \u0914\u0930 Li\u2082\u207a \u0915\u0940 \u0938\u094d\u0925\u093f\u0930\u0924\u093e \u0915\u093e \u092c\u0922\u093c\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u0948:",
"options": [
"Li\u2082 < Li\u2082\u207a < Li\u2082\u207b",
@@ -673,6 +708,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e 0.7, 0.77, 0.777, ......, \u0915\u0947 \u092a\u094d\u0930\u0925\u092e 20 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"\\(\\frac{7}{81} (179 - 10^{-20})\\)",
@@ -692,6 +728,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 29,
"question": "x + \\(\\sqrt{3}\\)y = \\(\\sqrt{3}\\) \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0915\u093f\u0930\u0923 x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u092a\u0939\u0941\u0901\u091a \u0915\u0930 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u0930\u0923 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"y = x + \\(\\sqrt{3}\\)",
@@ -711,6 +748,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "k \u0915\u0947 \u0909\u0928 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f :\n(k + 1)x + 8y = 4k\nkx + (k + 3)y = 3k - 1\n\u0915\u093e \u0915\u094b\u0908 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0905\u0928\u0902\u0924",
@@ -730,6 +768,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u090f\u0915 \u0926\u094d\u0930\u0935 \u0915\u0940 \u092c\u0942\u0901\u0926 \u0905\u092a\u0928\u0940 \u092a\u0943\u0937\u094d\u0920 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0915\u092e\u0940 \u0915\u0930 \u0935\u093e\u0937\u094d\u092a\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u0907\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0905\u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0938\u092e\u094d\u092d\u0935 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092c\u0942\u0901\u0926 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0928\u0940 \u091a\u093e\u0939\u093f\u090f? \u092a\u0943\u0937\u094d\u0920 \u0924\u0928\u093e\u0935 T \u0939\u0948, \u0926\u094d\u0930\u0935 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 \u03c1 \u0939\u0948 \u0914\u0930 \u0935\u093e\u0937\u094d\u092a\u0928 \u0915\u0940 \u0917\u0941\u092a\u094d\u0924 \u090a\u0937\u094d\u092e\u093e L \u0939\u0948\u0964",
"options": [
"\u03c1L/T",
@@ -749,6 +788,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0938\u092e\u093e\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0938\u094d\u0935\u093e\u092f\u0924\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e n \u0915\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u0938\u0947 \u0939\u091f \u0926\u0942\u0938\u0930\u0947 \u0938\u094d\u0935\u093e\u092f\u0924\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e (n-1) \u0915\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u092a\u0930 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f n >> 1, \u0924\u092c \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0907\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948 :",
"options": [
"1/n",
@@ -768,6 +808,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a\u094d\u092f \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0935\u0947\u0917 \\( \\left( \\hat{i} + 2 \\hat{j} \\right) \\) m/s \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 \\( \\hat{i} \\) \u092d\u0942\u092e\u093f \u0915\u0947 \u0938\u093e\u0925 \u0939\u0948 \u0914\u0930 \\( \\hat{j} \\) \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092a\u0930\u0964 \u092f\u0926\u093f g = 10 m/s\u00b2, \u0924\u092c \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a \u092a\u0925 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"y = x - 5x\u00b2",
@@ -787,6 +828,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 \u092e\u0902\u0926\u093f\u0924 \u0926\u094b\u0932\u093f\u0924\u094d\u0930 \u0915\u093e \u0906\u092f\u093e\u092e 5s \u092e\u0947\u0902 \u0905\u092a\u0928\u0947 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0938\u0947 \u0918\u091f\u0915\u0930 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u093e 0.9 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0914\u0930 10s \u092e\u0947\u0902 \u092f\u0939 \u0918\u091f\u0915\u0930 \u092e\u0942\u0932 \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u093e \u03b1 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u090f\u0917\u093e, \u091c\u0939\u093e\u0901 \u03b1 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"0.7",
@@ -806,6 +848,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u0926\u094b \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 C\u2081 \u090f\u0935\u0902 C\u2082 \u0915\u094d\u0930\u092e\u0936\u0903 120 V \u090f\u0935\u0902 200 V \u092a\u0930 \u0906\u0935\u0947\u0936\u093f\u0924 \u0915\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0928\u094d\u0939\u0947\u0902 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u091c\u094b\u0921\u093c \u0926\u0947\u0928\u0947 \u092a\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092a\u0930 \u0935\u093f\u092d\u0935 \u0936\u0942\u0928\u094d\u092f \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964 \u0924\u092c :",
"options": [
"5C\u2081 = 3C\u2082",
@@ -825,6 +868,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 x\u00b2 + 2x + 3 = 0 \u0924\u0925\u093e ax\u00b2 + bx + c = 0, a, b, c \u2208 R, \u0915\u093e \u090f\u0915 \u092e\u0942\u0932 \u0938\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b a : b : c \u0939\u0948 :",
"options": [
"1 : 2 : 3",
@@ -844,6 +888,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u094b (1, -2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u0925\u093e x - \u0905\u0915\u094d\u0937 \u0915\u094b (3, 0) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u093f\u0938 \u0905\u0928\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"(-5, 2)",
@@ -863,6 +908,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f x, y, z \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e tan\u207b\u00b9x, tan\u207b\u00b9y \u0924\u0925\u093e tan\u207b\u00b9z \u092d\u0940 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"x = y = z",
@@ -882,6 +928,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u090f\u0915 \u0905\u091c\u094d\u091e\u093e\u0924 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u0915\u094b \u0932\u0941\u0915\u093e\u0938 \u0905\u092d\u093f\u0915\u0930\u094d\u092e\u0915 \u0915\u0947 \u0938\u093e\u0925 \u092f\u0939 \u091c\u093e\u0928\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0909\u092a\u092f\u094b\u0917\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915, \u0938\u0947\u0915\u0947\u0902\u0921\u0930\u0940 \u0905\u0925\u0935\u093e \u091f\u0930\u094d\u0936\u093f\u092f\u0930\u0940 \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u093e \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932 \u0938\u0930\u094d\u0935\u093e\u0927\u093f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u093f\u0938 \u0915\u094d\u0930\u093f\u092f\u093e\u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e :",
"options": [
"\u0938\u0947\u0915\u0947\u0902\u0921\u0930\u0940 \u090f\u0932\u094d\u0915\u094b\u0939\u0949\u0932, SN1 \u0926\u094d\u0935\u093e\u0930\u093e",
@@ -901,6 +948,7 @@
"level": "high school",
"category_en": "general knowledge",
"category_original_lang": "\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u092d\u094b\u092a\u093e\u0932 \u0917\u0948\u0938 \u0926\u0941\u0930\u094d\u0918\u091f\u0928\u093e \u092e\u0947\u0902 \u092f\u0942\u0928\u093f\u092f\u0928 \u0915\u093e\u0930\u094d\u092c\u093e\u0907\u0921 \u092a\u094d\u0932\u093e\u0902\u091f \u0915\u0947 \u0938\u094d\u091f\u094b\u0930\u0947\u091c \u091f\u0948\u0902\u0915 \u0938\u0947 \u091c\u094b \u0917\u0948\u0938 \u0928\u093f\u0915\u0932\u0940 \u0925\u0940, \u0935\u0939 \u0925\u0940 :",
"options": [
"\u092e\u0947\u0925\u093f\u0932\u0906\u0907\u0938\u094b\u0938\u093e\u0907\u0928\u0947\u091f",
@@ -920,6 +968,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u090f\u0915 \u0927\u093e\u0924\u0941 \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 M\u2080.\u2089\u2088O \u092a\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f \u0927\u093e\u0924\u0941 \u0907\u0938 \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u092e\u0947\u0902 M\u00b2\u207a \u0914\u0930 M\u00b3\u207a \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0939\u094b \u0924\u094b \u0927\u093e\u0924\u0941 \u0915\u093e \u091c\u094b \u0905\u0902\u0936 M\u00b3\u207a \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u094b\u0917\u093e \u0935\u0939 \u0939\u0948 :",
"options": [
"7.01%",
@@ -939,6 +988,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 27,
"question": "\u0926\u094b \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u092e\u0924\u0932 2x + y + 2z = 8 \u0924\u0925\u093e 4x + 2y + 4z + 5 = 0 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"3/2",
@@ -958,6 +1008,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 27,
"question": "\u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u092e\u0947\u0902 \u090f\u0915 \u092b\u0930\u094d\u092e 2000 \u0928\u0917 \u092c\u0928\u093e \u0930\u0939\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0905\u0928\u0941\u092e\u093e\u0928 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0915\u093f \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e x \u0915\u0947 \u0938\u093e\u0925 \u0909\u0924\u094d\u092a\u093e\u0926\u0928 P \u0915\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0940 \u0926\u0930 dP/dx = 100 - 12\u221ax \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u092b\u0930\u094d\u092e 25 \u0915\u093e\u092e\u0917\u093e\u0930 \u0905\u0927\u093f\u0915 \u0932\u0917\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u0928\u0917\u094b\u0902 \u0915\u0947 \u0909\u0924\u094d\u092a\u093e\u0926\u0928 \u0915\u093e \u0928\u092f\u093e \u0938\u094d\u0924\u0930 \u0939\u0948 :",
"options": [
"2500",
@@ -977,6 +1028,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 27,
"question": "\u092e\u093e\u0928 A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0947 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0902 \u091c\u093f\u0928\u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 2 \u0905\u0935\u092f\u0935 \u0924\u0925\u093e 4 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902\u0964 A \u00d7 B \u0915\u0947 \u0909\u0928 \u0909\u092a\u0938\u092e\u0941\u091a\u094d\u091a\u092f\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u092e\u0947\u0902 3 \u0905\u0935\u092f\u0935 \u0905\u0927\u093f\u0915 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"256",
@@ -996,6 +1048,7 @@
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
+ "page_num": 31,
"question": "\u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\n\u0915\u0925\u0928 - I : (p \u2227 \u223c q) \u2227 (\u223c p \u2227 q) \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964\n\u0915\u0925\u0928 - II : (p \u2192 q)\u2194(\u223c q \u2192 \u223c p) \u0938\u0924\u094d\u092f \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
@@ -1015,6 +1068,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u092f\u0926\u093f \u222bf(x)dx = \u03a8(x) \u0939\u0948, \u0924\u094b \u222bx\u2075f(x\u00b3)dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/3 [x\u00b3\u03a8(x\u00b3) \u2212 \u222bx\u00b2\u03a8(x\u00b3)dx] + C",
@@ -1034,6 +1088,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u090f\u0915 \u0917\u0924\u093f\u0936\u0940\u0932 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0936\u093f\u0916\u0930 \u092e\u093e\u0928 20 nT \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u093e\u092e\u0930\u094d\u0925\u094d\u092f \u0915\u093e \u0936\u093f\u0916\u0930 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"3 V/m",
@@ -1053,6 +1108,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 2,
"question": "\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0915\u0925\u0928 I \u090f\u0935\u0902 \u0915\u0925\u0928 II \u0926\u093f\u092f\u0947 \u0939\u0941\u092f\u0947 \u0939\u0948\u0902\u0964 \u0915\u0925\u0928\u094b\u0902 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924\u094d \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u091a\u093e\u0930 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947, \u0909\u0938 \u0935\u093f\u0915\u0932\u094d\u092a \u0915\u094b \u091a\u0941\u0928\u093f\u092f\u0947 \u091c\u094b \u0915\u093f \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0915\u0925\u0928\u094b\u0902 \u0915\u093e \u0938\u0930\u094d\u0935\u094b\u0924\u094d\u0924\u092e \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964\n\u0915\u0925\u0928 - I : \u091a\u093e\u0932 v \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u093e \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0915\u0923 \u0938\u094d\u0925\u093f\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0915\u0923 \u0938\u0947 \u0938\u0902\u0918\u091f\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092e\u094d\u092d\u0935 \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 f(1/2 mv^2) \u0938\u0947, \u0924\u092c f = (m / M + m)\u0964\n\u0915\u0925\u0928 - II : \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0924\u092d\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 \u091c\u092c \u0938\u0902\u0918\u091f\u094d\u091f \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e\u0938\u094d\u0935\u0930\u0942\u092a \u0915\u0923 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u091a\u093f\u092a\u0915 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948, \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
@@ -1072,6 +1128,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 2,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u0936\u0940\u0932\u0924\u093e \u0915\u093e \u0935\u093f\u092e\u0940\u092f \u0938\u0942\u0924\u094d\u0930 [\u03b5\u2080] \u0938\u0947 \u091a\u093f\u0928\u094d\u0939\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f M = \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, L = \u0932\u092e\u094d\u092c\u093e\u0908, T = \u0938\u092e\u092f \u0914\u0930 A = \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e; \u0924\u092c :",
"options": [
"[\u03b5\u2080] = [M^-1 L^-3 T^2 A]",
@@ -1091,6 +1148,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": " \\( y = \\int_{0}^{x} |t| dt, x \\in R \\) \u092a\u0930 \u0930\u0947\u0916\u093e \\( y = 2x \\) \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u0913\u0902 \u0926\u094d\u0935\u093e\u0930\u093e x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u092c\u0928\u0947 \u0905\u0902\u0924\u0903\u0916\u0923\u094d\u0921 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902:",
"options": [
"\u00b11",
@@ -1110,6 +1168,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u0926\u093f\u092f\u093e \u0939\u0948: \u090f\u0915 \u0935\u0943\u0924\u094d\u0924, \\( 2x^2 + 2y^2 = 5 \\) \u0924\u0925\u093e \u090f\u0915 \u092a\u0930\u0935\u0932\u092f \\( y^2 = 4\\sqrt{5} x \\)\u0964\n\u0915\u0925\u0928 - I: \u0907\u0928 \u0935\u0915\u094d\u0930\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \\( y = x + \\sqrt{5} \\) \u0939\u0948\u0964\n\u0915\u0925\u0928 - II: \u092f\u0926\u093f \u0930\u0947\u0916\u093e \\( y = mx + \\frac{\\sqrt{5}}{m} \\) (m \u2260 0) \u0909\u0928\u0915\u0940 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0939\u0948, \u0924\u094b m, \\( m^4 - 3m^2 + 2 = 0 \\) \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948\u0964\n",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0938\u0924\u094d\u092f \u0939\u0948; \u0915\u0925\u0928 - II \u0915\u0925\u0928 - I \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
@@ -1129,6 +1188,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\nxMnO\u2084\u207b + yC\u2082O\u2084\u00b2\u207b + zH\u207a \u2192 xMn\u00b2\u207a + 2yCO\u2082 + z/2 H\u2082O\n\u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 x, y \u0924\u0925\u093e z \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"5, 2 \u0924\u0925\u093e 16",
@@ -1148,6 +1208,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 5,
"question": "\u090f\u0915 \u0938\u092e-\u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0902\u0938 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 6 cm \u0939\u0948 \u0914\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u092e\u094b\u091f\u093e\u0908 3 mm \u0939\u0948\u0964 \u092f\u0926\u093f \u0932\u0947\u0902\u0938 \u0915\u0947 \u092a\u0926\u093e\u0930\u094d\u0925 \u092e\u0947\u0902 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u091a\u093e\u0932 2 x 10^8 m/s \u0939\u0948, \u0924\u092c \u0932\u0947\u0902\u0938 \u0915\u0940 \u092b\u094b\u0915\u0932 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948 :",
"options": [
"15 cm",
@@ -1167,6 +1228,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 5,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u090f\u0935\u0902 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u090f\u0915 \u0917\u094d\u0930\u0939 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u0938\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u0915\u094b 2R \u090a\u0901\u091a\u093e\u0908 \u092a\u0930 \u0935\u0943\u0924\u0940\u092f \u0915\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u090a\u0930\u094d\u091c\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 :",
"options": [
"5GmM/6R",
@@ -1186,6 +1248,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0949\u092e\u094d\u092a\u094d\u0932\u0947\u0915\u094d\u0938 \u0938\u094d\u092a\u0940\u0936\u0940\u091c \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936\u0915\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948?",
"options": [
"[Co(en)3]3+",
@@ -1205,6 +1268,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u0923\u0941\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0928\u0941\u092c\u0915\u0940\u092f \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0915\u0940 \u0905\u092a\u0947\u0915\u094d\u0937\u093e \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948?",
"options": [
"C2",
@@ -1224,6 +1288,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 16,
"question": "\u091f\u093e\u0932\u094d\u092f\u0942\u0928 \u092e\u0947\u0902 (\u2212)-1-\u0915\u094d\u0932\u094b\u0930\u094b-1-\u092b\u0947\u0928\u093f\u0932\u090f\u0925\u0947\u0928 \u0915\u093e SbCl5 \u0915\u0940 \u0925\u094b\u0921\u093c\u0940 \u0938\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0930\u0947\u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0915\u093e\u0930\u0923 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915 \u0915\u093e \u092c\u0928\u0928\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948:",
"options": [
"\u0915\u093e\u0930\u094d\u092c\u090f\u0928\u093e\u092f\u0928",
@@ -1243,6 +1308,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 17,
"question": "\u0909\u092a\u0930\u094b\u0915\u094d\u0924 \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092a\u094d\u0930\u092c\u0932\u0924\u092e \u0911\u0915\u094d\u0938\u0940\u0915\u093e\u0930\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"Cl\u207b",
@@ -1262,6 +1328,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 17,
"question": "37.0\u00b0C \u092a\u0930 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0915\u0947 0.04 \u092e\u094b\u0932 \u0938\u0947 \u092d\u0930\u093e \u0939\u0941\u0906 \u092a\u093f\u0938\u094d\u091f\u0928 50.0 mL \u0938\u0947 375 mL \u0924\u0915 \u092b\u0948\u0932\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u093e \u0939\u094b\u0928\u0947 \u092e\u0947\u0902 \u090a\u0937\u094d\u092e\u093e \u0915\u093e 208J \u0938\u094b\u0916\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 q \u0914\u0930 w \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u0932\u093f\u0916\u0947 \u0939\u094b\u0902\u0917\u0947 :",
"options": [
"q = +208 J, w = -208 J",
@@ -1281,6 +1348,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 1.5 m \u0915\u093e \u090f\u0915 \u0938\u094b\u0928\u094b\u092e\u0940\u091f\u0930 \u0924\u093e\u0930 \u0938\u094d\u091f\u0940\u0932 \u0915\u093e \u092c\u0928\u093e \u0939\u0948\u0964 \u0907\u0938\u092e\u0947\u0902 \u090f\u0915 \u0924\u0928\u093e\u0935 1% \u0915\u0940 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0935\u093f\u0915\u0943\u0924\u093f \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0918\u0928\u0924\u094d\u0935 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 7.7\u00d710\u00b3 kg/m\u00b3 \u0914\u0930 2.2\u00d710\u00b9\u00b9 N/m\u00b2 \u0939\u0948\u0902 \u0924\u092c \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0924\u093e\u0930 \u0915\u0940 \u092e\u0942\u0932 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094d\u092f\u093e \u0939\u0948?",
"options": [
"188.5 Hz",
@@ -1300,6 +1368,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 0.3 cm \u0915\u093e \u090f\u0915 \u0935\u0943\u0924\u0940\u092f \u0932\u0942\u092a \u090f\u0915 \u0915\u093e\u092b\u0940 \u092c\u0921\u093c\u0947 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 20 cm \u0915\u0947 \u0935\u0943\u0924\u0940\u092f \u0932\u0942\u092a \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u091b\u094b\u091f\u0947 \u0932\u0942\u092a \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092c\u0921\u093c\u0947 \u0932\u0942\u092a \u0915\u0947 \u0905\u0915\u094d\u0937 \u092a\u0930 \u0939\u0948\u0964 \u0909\u0928\u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 15 cm \u0939\u0948\u0964 \u092f\u0926\u093f \u091b\u094b\u091f\u0947 \u0932\u0942\u092a \u0938\u0947 2.0 A \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u092c \u092c\u0921\u093c\u0947 \u0932\u0942\u092a \u0938\u0947 \u0938\u092e\u094d\u092c\u0926\u094d\u0927 \u092b\u094d\u0932\u0915\u094d\u0938 \u0939\u0948:",
"options": [
"9.1\u00d710\u207b\u00b9\u00b9 \u0935\u0947\u092c\u0930",
@@ -1319,6 +1388,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": " \u0915\u094b\u0923\u0940\u092f \u0935\u0947\u0917 \u03c9\u2080 \u0938\u0947 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0930 \u0930\u0939\u0947 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r \u0914\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u094b \u090f\u0915 \u0916\u0941\u0930\u0926\u0930\u0947 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0924\u0932 \u092a\u0930 \u0930\u0916\u093e \u0939\u0948\u0964 \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u0947\u0917 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0930\u0928\u093e \u092c\u0928\u094d\u0926 \u0915\u0930 \u0926\u0947, \u0924\u092c \u0918\u0942\u0930\u094d\u0923\u0947 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u0935\u0947\u0917 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ? ",
"options": [
"r\u03c9\u2080/4",
@@ -1338,6 +1408,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": " \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092c\u0947\u0932\u0928\u093e\u0915\u093e\u0930 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u0940 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u0938\u094d\u0935\u0924\u0928\u094d\u0924\u094d\u0930 \u0930\u0942\u092a \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u094b \u0906\u0927\u093e\u0930 \u0926\u0947\u0924\u0940 \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0914\u0930 \u092c\u0947\u0932\u0928 \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u092a\u0930\u093f\u0936\u094d\u091b\u0947\u0926 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u090f\u0915\u0938\u092e\u093e\u0928 A \u0939\u0948\u0902\u0964 \u091c\u092c \u092a\u093f\u0938\u094d\u091f\u0928 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0924\u092c \u0917\u0948\u0938 \u0915\u093e \u0906\u092f\u0924\u0928 V\u2080 \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u093e \u0926\u093e\u092c P\u2080 \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u094b \u0907\u0938\u0915\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0947 \u0925\u094b\u0921\u093c\u093e \u0938\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u092a\u093f\u0938\u094d\u091f\u0928 \u0905\u092a\u0928\u0947 \u092a\u0930\u093f\u0935\u0947\u0936 \u0938\u0947 \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u092a\u0943\u0925\u0915 \u0939\u0948, \u0924\u092c \u092a\u093f\u0938\u094d\u091f\u0928 \u0907\u0938 \u0906\u0935\u0943\u0924\u093f \u0915\u0940 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u0915\u0930\u0947\u0917\u093e : ",
"options": [
"1/(2\u03c0) \u221a(A\u03b3P\u2080/V\u2080M)",
@@ -1357,6 +1428,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u090f\u0915 \u0917\u0948\u0938\u0940\u092f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0926\u0939\u0928 \u092a\u0930 0.72 g. \u091c\u0932 \u0914\u0930 3.08 g. CO\u2082 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u093e \u0906\u0923\u0935\u093f\u0915 \u0938\u0942\u0924\u094d\u0930 \u0939\u0948 :",
"options": [
"C\u2082H\u2084",
@@ -1376,6 +1448,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0905\u0923\u0941/\u0906\u092f\u0928\u094b\u0902 \u0915\u0947 \u0928\u093f\u092e\u094d\u0928 \u092f\u0941\u0917\u094d\u092e\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u094b\u0902 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u0902\u092d\u093e\u0935\u0928\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"H\u2082\u207a, He\u2082\u00b2\u207b",
@@ -1395,6 +1468,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u092f\u0926\u093f \\( y = \\sec(\\tan^{-1}x) \\) \u0939\u0948, \u0924\u094b \\( x = 1 \\) \u092a\u0930 \\( \\frac{dy}{dx} \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\( \\frac{1}{\\sqrt{2}} \\)",
@@ -1414,6 +1488,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u0935\u094d\u092f\u0902\u091c\u0915 \\( \\frac{\\tan A}{1 - \\cot A} + \\frac{\\cot A}{1 - \\tan A} \\) \u0915\u094b \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\sin A \\cos A + 1\\)",
@@ -1433,6 +1508,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u090f\u0915 \u0915\u0915\u094d\u0937\u093e \u0915\u0947 \u0938\u092d\u0940 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0928\u0947 \u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u0915\u092e \u0905\u0902\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e\u0964 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0928\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0915\u094b 10 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0905\u0902\u0915 \u0926\u0947\u0928\u0947 \u0915\u093e \u0928\u093f\u0930\u094d\u0923\u092f \u0932\u093f\u092f\u093e\u0964 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u093f\u092f\u094b\u0902 \u0915\u094b 10 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0905\u0902\u0915 \u0926\u0947\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092d\u0940 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940 \u092e\u093e\u092a \u0928\u0939\u0940\u0902 \u092c\u0926\u0932\u0947\u0917\u093e?",
"options": [
"\u092e\u093e\u0927\u094d\u092f",
@@ -1452,6 +1528,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u092a\u0930\u0935\u0932\u092f\u094b\u0902 y\u00b2 = 4x \u0924\u0925\u093e x\u00b2 = -32y \u0926\u094b\u0928\u094b\u0902 \u0915\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0915\u0940 \u092a\u094d\u0930\u0935\u0923\u0924\u093e \u0939\u0948 :",
"options": [
"3/2",
@@ -1471,6 +1548,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u0915\u0925\u0928 ~(p \u2194 ~q) \u0939\u0948 :",
"options": [
"~p \u2194 q \u0915\u0947 \u0924\u0941\u0932\u094d\u092f",
@@ -1490,6 +1568,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u092e\u093e\u0928\u093e \u0915\u093f\u0938\u0940 \u0938\u092e\u092f t \u092a\u0930 \u091c\u0940\u0935\u093f\u0924 \u0916\u0930\u0917\u094b\u0936\u094b\u0902 \u0915\u0940 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 dp(t)/dt = 1/2 p(t) - 200 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f p(0) = 100 \u0939\u0948, \u0924\u094b p(t) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"300 - 200 e\u207b\u1d57/\u00b2",
@@ -1509,6 +1588,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u092f\u0926\u093f \\[ \\vec{a} \\times \\vec{b} \\times \\vec{c} \\times \\vec{x} = \\lambda \\left| \\vec{a} \\vec{b} \\vec{c} \\right|^2 \\] \u0939\u0948, \u0924\u094b \u03bb \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"3",
@@ -1528,6 +1608,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u092e\u093e\u0928 A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f P(A\u222aB) = \\(\\frac{1}{6}\\), P(A\u2229B) = \\(\\frac{1}{4}\\) \u0924\u0925\u093e P(\\(\\overline{A}\\)) = \\(\\frac{1}{4}\\) \u0939\u0948 \u091c\u092c\u0915\u093f A \u0918\u091f\u0928\u093e A \u0915\u0947 \u092a\u0942\u0930\u0915 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b \u0918\u091f\u0928\u093e\u090f\u0901 A \u0924\u0925\u093e B :",
"options": [
"\u0938\u092e\u093e\u0928\u0938\u092e\u094d\u092d\u093e\u0935\u0940 \u0939\u0948\u0902 \u092a\u0930\u0928\u094d\u0924\u0941 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
@@ -1547,6 +1628,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u092e\u093e\u0928 PS \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 P(2, 2), Q(6, -1) \u0924\u0925\u093e R(7, 3) \u0939\u0948\u0902\u0964 (1, -1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e, \u091c\u094b PS \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"2x + 9y + 7 = 0",
@@ -1566,6 +1648,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 31,
"question": "\u0938\u093e\u0902\u0926\u094d\u0930\u0923 C \u092a\u0930 \u0914\u0930 \u0905\u0928\u0928\u094d\u0924 \u0924\u0928\u0941\u0924\u093e \u092a\u0930 NaCl \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u0907\u0915\u094d\u0915\u094d\u0935\u093f\u0935\u0948\u0932\u0947\u0928\u094d\u091f \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u094b \u03bbC \u0914\u0930 \u03bb\u221e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0909\u0928\u0915\u093e \u0906\u092a\u0938\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\u03bbC = \u03bb\u221e + (B) \u221aC",
@@ -1585,6 +1668,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 31,
"question": "\u0930\u0941\u092c\u093f\u0921\u093f\u092f\u092e \u092a\u0930\u092e\u093e\u0923\u0941 (Z = 37) \u0915\u0947 \u0938\u0902\u092f\u094b\u091c\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091a\u093e\u0930 \u0915\u094d\u0935\u093e\u0923\u094d\u091f\u092e \u0928\u092e\u094d\u092c\u0930\u094b\u0902 \u0915\u093e \u0938\u0947\u091f \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"5, 0, 1, + 1/2",
@@ -1604,6 +1688,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 31,
"question": "0.500 M C2H5OH (\u091c\u0932\u0940\u092f), 0.100 M Mg3(PO4)2 (\u091c\u0932\u0940\u092f), 0.250 M KBr (\u091c\u0932\u0940\u092f) \u0914\u0930 0.125 M Na3PO4 (\u091c\u0932\u0940\u092f) \u0935\u093f\u0932\u092f\u0928\u094b\u0902 \u0915\u094b 25\u00b0C \u092a\u0930 \u0915\u094d\u0937\u093e\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924\u094d \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0938\u092d\u0940 \u0928\u092e\u0915\u0940\u0928 \u0915\u094b \u092a\u094d\u0930\u092c\u0932 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0932\u093e\u0907\u091f\u094d\u0938 \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0915\u0925\u0928 \u092f\u0925\u093e\u0930\u094d\u0925 \u0939\u0948 ?",
"options": [
"0.500 M C2H5OH (\u091c\u0932\u0940\u092f) \u0915\u093e \u0906\u0938\u092e\u093e\u091f\u093f\u0915 \u0926\u093e\u092c \u0909\u091a\u094d\u091a\u0924\u092e \u0939\u094b\u0917\u093e\u0964",
@@ -1623,6 +1708,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 27,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 \u0928\u0947 \u090f\u0915 \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u092e\u093e\u092a\u0915\u0930 3.50 cm \u0932\u093f\u0916\u0940\u0964 \u0907\u0938\u0915\u0947 \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u0909\u0938\u0928\u0947 \u0915\u093f\u0938 \u0909\u092a\u0915\u0930\u0923 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e?",
"options": [
"\u090f\u0915 \u0938\u094d\u0915\u094d\u0930\u0942 \u0917\u0947\u091c \u091c\u093f\u0938\u0915\u0947 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0938\u094d\u0915\u0947\u0932 \u092e\u0947\u0902 50 \u092d\u093e\u0917 \u0939\u0948\u0902 \u0914\u0930 \u092a\u093f\u091a 1 mm \u0939\u0948\u0964",
@@ -1642,6 +1728,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 26,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 85 cm \u0915\u0947 \u090f\u0915 \u092a\u093e\u0907\u092a \u0915\u0947 \u090f\u0915 \u0938\u093f\u0930\u0947 \u0915\u094b \u092c\u0928\u094d\u0926 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092a\u093e\u0907\u092a \u092e\u0947\u0902 \u0935\u093e\u092f\u0941 \u0938\u094d\u0924\u092e\u094d\u092d \u0915\u0947 \u0938\u092e\u094d\u092d\u0935 \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0926\u094b\u0932\u0928\u094b\u0902 \u0915\u0940 \u0935\u0939 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0915\u093e\u0932\u093f\u090f \u091c\u093f\u0928\u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f 1250 Hz \u0938\u0947 \u0915\u092e \u0939\u0948\u0964 \u0935\u093e\u092f\u0941 \u092e\u0947\u0902 \u0927\u094d\u0935\u0928\u093f \u0915\u093e \u0935\u0947\u0917 340 m/s \u0939\u0948\u0964",
"options": [
"4",
@@ -1661,6 +1748,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 26,
"question": "\u092e\u093e\u0928 \u0932\u0947\u0902 \u0935\u094d\u092f\u094b\u092e \u092e\u0947\u0902 \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E = 30x^2 i^ exists \u0939\u0948\u0964 \u0924\u092c \u0935\u093f\u092d\u0935\u093e\u0902\u0924\u0930 V_A - V_O, \u091c\u0939\u093e\u0901 V_O \u092e\u0942\u0932\u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 \u0935\u093f\u092d\u0935 \u090f\u0935\u0902 V_A x = 2 m \u092a\u0930 \u0935\u093f\u092d\u0935 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"80 J",
@@ -1680,6 +1768,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "1, 1, 1 - \u091f\u094d\u0930\u093e\u0907\u0915\u094d\u0932\u094b\u0930\u094b\u090f\u0925\u0947\u0928 \u0915\u094b \u0938\u093f\u0932\u094d\u0935\u0930 \u092a\u093e\u0909\u0921\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0947 \u092a\u0930 \u0938\u092c\u0938\u0947 \u092c\u0921\u093c\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u0947\u0902 \u092c\u0928\u093e \u0906\u0930\u094d\u0917\u0947\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"2 - \u092c\u094d\u092f\u0942\u091f\u0940\u0928",
@@ -1699,6 +1788,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0917\u0948\u0938\u0940\u092f \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0914\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 1 : 4 \u0939\u0948\u0964 \u0907\u0938 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0907\u0928\u0915\u0940 \u0905\u0923\u0941 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"3 : 16",
@@ -1718,6 +1808,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u0927\u093e\u0924\u0941 \u091c\u094b \u0905\u092a\u0928\u0947 \u0932\u0935\u0923\u094b\u0902 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928\u094b\u0902 \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u094b\u0932\u093f\u0938\u093f\u0938 (\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u0928) \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u094b\u0924\u0940 \u0939\u0948 :",
"options": [
"Cr",
@@ -1737,6 +1828,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "\u092f\u0926\u093f g \u092b\u0932\u0928 f \u0915\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0939\u0948 \u0924\u0925\u093e f'(x) = 1 / (1 + x^5) \u0939\u0948, \u0924\u094b g'(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"5x^4",
@@ -1756,6 +1848,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "\u092f\u0926\u093f (10^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7 + ... + 10 (11)^9 = k (10)^9 \u0939\u0948, \u0924\u094b k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"441 / 100",
@@ -1775,6 +1868,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 6,
"question": "\u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u092c\u0922\u093c\u0924\u0940 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0938 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u092c\u0940\u091a \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0926\u0941\u0917\u0928\u0940 \u0915\u0930 \u0926\u0940 \u091c\u093e\u090f, \u0924\u094b \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948 :",
"options": [
"3 + \u221a2",
@@ -1794,6 +1888,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 6,
"question": "\u092f\u0926\u093f (1 + ax + bx\u00b2) (1 - 2x)\u00b9\u2078 \u0915\u0947 x \u0915\u0947 \u0918\u093e\u0924\u094b\u0902 \u092e\u0947\u0902 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 x\u00b3 \u0924\u0925\u093e x\u2074, \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0902, \u0924\u094b (a, b) \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902 :",
"options": [
"(14, 251/3)",
@@ -1813,6 +1908,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 6,
"question": "\u092e\u093e\u0928 a, b, c \u0924\u0925\u093e d \u0936\u0942\u0928\u094d\u092f\u0947\u0924\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 4ax + 2ay + c = 0 \u0924\u0925\u093e 5bx + 2by + d = 0 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0902\u0926\u0941 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0939\u0948 \u0924\u0925\u093e \u0926\u094b\u0928\u094b\u0902 \u0905\u0915\u094d\u0937\u094b\u0902 \u0938\u0947 \u0938\u092e\u0926\u0942\u0930\u0938\u094d\u0925 \u0939\u0948, \u0924\u094b :",
"options": [
"2bc + 3ad = 0",
@@ -1832,6 +1928,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 37,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u0923\u0941\u0913\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0905\u092e\u094d\u0932 \u0936\u0915\u094d\u0924\u093f \u0915\u093e \u0918\u091f\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u094b\u0917\u093e :",
"options": [
"HClO2 > HClO4 > HClO3 > HOCl",
@@ -1851,6 +1948,7 @@
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 37,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u094d\u0937\u093e\u0930\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u090f\u0915 DNA \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e ?",
"options": [
"\u0925\u093e\u0907\u092e\u093f\u0928",
@@ -1870,6 +1968,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 37,
"question": "\u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u090f\u092e\u0940\u0928\u094b\u0902 \u0915\u094b \u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092a\u094d\u0930\u0915\u0943\u0924\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 pK_b \u0915\u093e \u092e\u093e\u0928 \u0915\u092e \u0938\u0947 \u0915\u092e \u0939\u094b\u0917\u093e?",
"options": [
"C_6H_5NH_2",
@@ -1889,6 +1988,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 37,
"question": "\u092f\u0926\u093f Z \u0938\u0902\u092a\u0940\u0921\u0928 \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u0948 \u0924\u094b \u0915\u092e \u0926\u092c\u093e\u0935 \u092a\u0930 \u0935\u093e\u0902\u0921\u0930\u0935\u093e\u0932\u094d\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0932\u093f\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"Z = 1 + \\(\\frac{Pb}{RT}\\)",
@@ -1908,6 +2008,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 21,
"question": "\u0938\u0942\u091a\u0940 - I (\u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092a\u094d\u0930\u0915\u093e\u0930) \u0915\u094b \u0938\u0942\u091a\u0940 - II (\u0907\u0938\u0915\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927/\u0905\u0928\u0941\u092a\u094d\u0930\u092f\u094b\u0917) \u0938\u0947 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 \u0914\u0930 \u0938\u0942\u091a\u093f\u092f\u094b\u0902 \u0915\u0947 \u0928\u0940\u091a\u0947 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f:",
"options": [
"(i) (ii) (iii) (iv)",
@@ -1927,6 +2028,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 21,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 3\u21922 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0947 \u0938\u0902\u0917\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u090f\u0915 \u0927\u093e\u0924\u0941 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0906\u0918\u093e\u0924 \u0939\u094b\u0915\u0930 \u092b\u094b\u091f\u094b\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 3\u00d710\u207b\u2074 T \u0915\u0947 \u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092a\u094d\u0930\u0935\u0947\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u0928\u0941\u0917\u093e\u092e\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092a\u0925 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 10.0 mm \u0939\u094b, \u0924\u092c \u0927\u093e\u0924\u0941 \u0915\u093e \u0915\u093e\u0930\u094d\u092f \u092b\u0932\u0928 \u0932\u0917\u092d\u0917 \u0939\u0948:",
"options": [
"1.6 eV",
@@ -1946,6 +2048,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u0927\u094d\u0930\u0941\u0935\u0923 \u0915\u0947 \u0905\u0928\u094d\u092f\u094b\u0928\u094d\u092f \u0932\u0902\u092c\u0935\u0924 \u0924\u0932\u094b\u0902 \u0935\u093e\u0932\u0947 \u0938\u092e\u0924\u0932 \u0927\u094d\u0930\u0941\u0935\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0926\u094b \u092a\u0941\u0902\u091c A \u090f\u0935\u0902 B \u090f\u0915 \u092a\u094b\u0932\u0930\u0949\u0907\u0921 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0909\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0947 \u091c\u0939\u093e\u0901 \u092a\u0941\u0902\u091c A \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948 (\u0914\u0930 \u092a\u0941\u0902\u091c B \u0915\u0940 \u0936\u0942\u0928\u094d\u092f \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0939\u0948) \u092a\u094b\u0932\u0930\u0949\u0907\u0921 \u0915\u093e 30\u00b0 \u0915\u0947 \u0918\u0942\u0930\u094d\u0923\u0928 \u0926\u094b\u0928\u094b\u0902 \u092a\u0941\u0902\u091c\u094b\u0902 \u0915\u094b \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u092a\u094d\u0930\u0924\u0940\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0926\u094b\u0928\u094b\u0902 \u092a\u0941\u0902\u091c\u094b\u0902 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0915\u094d\u0930\u092e\u0936\u0903 I_A \u090f\u0935\u0902 I_B, \u0924\u092c I_A/I_B \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1/3",
@@ -1965,6 +2068,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u0915\u094d\u0930\u093e\u0909\u0928 \u0915\u093e\u0901\u091a (\u03bc = 3/2) \u0938\u0947 \u092c\u0928\u0947 \u090f\u0915 \u092a\u0924\u0932\u0947 \u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0902\u0938 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0908 f \u0939\u0948\u0964 \u091c\u092c \u0907\u0938\u0947 \u0905\u092a\u0935\u0930\u094d\u0924\u0915\u093e\u0902\u0915 4/3 \u090f\u0935\u0902 5/3 \u0935\u093e\u0932\u0947 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u0926\u094d\u0930\u0935\u094b\u0902 \u092e\u0947\u0902 \u0930\u0916\u0915\u0930 \u092e\u093e\u092a\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u092c \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 f1 \u090f\u0935\u0902 f2 \u0939\u0948\u0902\u0964 \u092b\u094b\u0915\u0938 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948:",
"options": [
"f1 \u090f\u0935\u0902 f2 \u0926\u094b\u0928\u094b\u0902 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -1984,6 +2088,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u0926\u094b \u0935\u0943\u0924\u0940\u092f \u092a\u094d\u0932\u0947\u091f\u0947\u0902, \u091c\u093f\u0928\u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 5 mm \u0939\u0948, \u0938\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092a\u094d\u0932\u0947\u091f\u0940\u092f \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u092c\u0940\u091a \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 2.2 \u0915\u093e \u090f\u0915 \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u091c\u092c \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 3 x 10^4 V/m \u0939\u0948, \u0924\u092c \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u092a\u094d\u0932\u0947\u091f \u0915\u093e \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u093e:",
"options": [
"6 x 10^4 C/m^2",
@@ -2003,6 +2108,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 36,
"question": " \u090f\u0915 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0940 0.2 M \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 50 \u03a9 \u0939\u0948\u0964 \u0907\u0938 \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u091a\u093e\u0932\u0915\u0924\u094d\u0935 1.4 S m\u207b\u00b9 \u0939\u0948\u0964 \u0907\u0938\u0940 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0947 0.5 M \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 280 \u03a9 \u0939\u0948\u0964 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0905\u092a\u0918\u091f\u094d\u092f \u0915\u0947 0.5 M \u0935\u093f\u0932\u092f\u0928 \u0915\u0940 \u092e\u094b\u0932\u0930 \u091a\u093e\u0932\u0915\u0924\u093e S m\u00b2 \u092e\u094b\u0932\u207b\u00b9 \u092e\u0947\u0902 \u0939\u094b\u0917\u0940 :",
"options": [
"5 \u00d7 10\u00b2",
@@ -2022,6 +2128,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 19,
"question": "\u090f\u0915 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u090f\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u093e \u092c\u094d\u0932\u0949\u0915 \u0930\u0916\u093e \u0939\u0948\u0964 \u092a\u0943\u0937\u094d\u0920 \u0915\u0940 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f y = x\u00b3/6 \u0938\u0947 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0918\u0930\u094d\u0937\u0923 \u0917\u0941\u0923\u093e\u0902\u0915 0.5 \u0939\u0948, \u0924\u092c \u0927\u0930\u0924\u0940 \u0938\u0947 \u090a\u092a\u0930 \u0935\u0939 \u0905\u0927\u093f\u0915\u0924\u092e \u090a\u0901\u091a\u093e\u0908, \u091c\u093f\u0938 \u092a\u0930 \u092c\u093f\u0928\u093e \u092b\u093f\u0938\u0932\u0947 \u092c\u094d\u0932\u0949\u0915 \u0930\u0916\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u0939\u0948 :",
"options": [
"1/2 m",
@@ -2041,6 +2148,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 19,
"question": "\u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u0924\u0940\u0928 \u091b\u0921\u093c\u094b\u0902 \u0915\u094b Y - \u0906\u0915\u093e\u0930 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u0935\u0947\u0932\u094d\u0921 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091b\u0921\u093c \u0915\u0940 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 4 cm\u00b2 \u0939\u0948\u0964 \u0924\u093e\u0901\u092c\u0947 \u0915\u0940 \u091b\u0921\u093c \u0915\u0947 \u0938\u093f\u0930\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 100\u00b0C \u0939\u0948 \u091c\u092c\u0915\u093f \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0938\u093f\u0930\u0947 0\u00b0C \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0930\u0916\u0947 \u0917\u090f \u0939\u0948\u0902\u0964 \u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 46, 13 \u090f\u0935\u0902 12 cms \u0939\u0948\u0902\u0964 \u091b\u0921\u093c\u094b\u0902 \u0915\u0940, \u0909\u0928\u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u094b \u091b\u094b\u0921\u093c\u0915\u0930, \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u0938\u0947 \u090a\u0937\u094d\u092e\u0940\u092f \u0930\u094b\u0927\u0940 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0924\u093e\u0901\u092c\u0947, \u092a\u0940\u0924\u0932 \u090f\u0935\u0902 \u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090a\u0937\u094d\u092e\u0940\u092f \u091a\u093e\u0932\u0915\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 0.92, 0.26 \u090f\u0935\u0902 0.12 CGS \u0907\u0915\u093e\u0908 \u0939\u0948\u0902\u0964 \u0924\u093e\u0901\u092c\u0947 \u0915\u0940 \u091b\u0921\u093c \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u090a\u0937\u094d\u092e\u093e \u0915\u0940 \u0926\u0930 \u0939\u0948 :",
"options": [
"6.0 cal/s",
@@ -2060,6 +2168,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 23,
"question": " \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u0947 \u091a\u093e\u0930 \u0915\u0923 \u091c\u094b \u0915\u093f \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0938\u092e\u093e\u0928 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902, \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0928\u093f\u0939\u093f\u0924 \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u092a\u094d\u0930\u092d\u093e\u0935 \u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0917\u0924\u093f\u0936\u0940\u0932 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0923 \u0915\u0940 \u091a\u093e\u0932 \u0939\u0948 : ",
"options": [
"\\(\\frac{1}{2} \\sqrt{\\frac{GM}{R} (1 + 2\\sqrt{2})}\\)",
@@ -2079,6 +2188,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 23,
"question": " \u090f\u0915 \u0915\u0923 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u092e\u0947\u0902 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u0938\u0947 \u0917\u0924\u093f\u0936\u0940\u0932 \u0939\u0948\u0964 \u092f\u0939 \u0935\u093f\u0936\u094d\u0930\u093e\u092e\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u092a\u094d\u0930\u093e\u0930\u092e\u094d\u092d \u0915\u0930 \u092a\u094d\u0930\u0925\u092e \u03c4 \u0938\u0947\u0915\u093f\u0923\u094d\u0921 \u092e\u0947\u0902 \u0926\u0942\u0930\u0940 a \u0914\u0930 \u0905\u0917\u0932\u0947 \u03c4 \u0938\u0947\u0915\u093f\u0923\u094d\u0921 \u092e\u0947\u0902 \u0926\u0942\u0930\u0940 2a \u0909\u0938\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0924\u092f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0924\u092c : ",
"options": [
"\u0926\u094b\u0932\u0928\u094b\u0902 \u0915\u093e \u0906\u0935\u0930\u094d\u0924 \u0915\u093e\u0932 6\u03c4 \u0939\u0948\u0964",
@@ -2098,6 +2208,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 35,
"question": " \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947\u091f, CH\u2083COOH \u2192 LiAlH\u2084 \u2192 A \u2192 PCl\u2085 \u2192 B \u2192 Alc. KOH \u2192 C \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u092f\u093e \u092b\u0932 C \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0938\u0940\u091f\u093e\u0907\u0932 \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921",
@@ -2117,6 +2228,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 35,
"question": " CsI\u2083 \u0905\u0923\u0941 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092f\u0925\u093e\u0930\u094d\u0925 \u0915\u0925\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u0907\u0938\u092e\u0947\u0902 Cs\u207a, I\u207b \u0914\u0930 I\u2082 \u091c\u093e\u0932\u0915 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -2136,6 +2248,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 35,
"question": " \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e, SO\u2082(g) + 1/2 O\u2082(g) \u21cc SO\u2083(g) \u0915\u0947 \u0932\u093f\u090f K\u209a = Kc(RT)\u02e3 \u0939\u0948 \u091c\u092c\u0915\u093f \u0938\u091a \u0938\u0942\u091a\u0915 \u0905\u0915\u094d\u0937\u0930 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0930\u094d\u0925 \u0930\u0916\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0906\u0926\u0930\u094d\u0936\u0924\u093e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f x \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"1",
@@ -2155,6 +2268,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092f\u0926\u093f X = {4^n - 3n - 1 : n \u2208 N} \u0924\u0925\u093e Y = {9(n - 1) : n \u2208 N}, \u091c\u0939\u093e\u0901 N, \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948, \u0924\u094b X\u222aY \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"Y - X",
@@ -2174,6 +2288,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092f\u0926\u093f A \u090f\u0915 \u0910\u0938\u093e 3\u00d73 \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0915\u093f AA' = A'A \u0924\u0925\u093e B = A^-1 A', \u0924\u094b BB' \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"I",
@@ -2193,6 +2308,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b(1 + x - 1/x) e^(x + 1/x) dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"x e^(x + 1/x) + c",
@@ -2212,6 +2328,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u090f\u0915 \u0921\u093e\u092f\u094b\u0921 \u0915\u0940 \u0927\u093e\u0930\u093e-\u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927 I=(e^(1000V/T) - 1) mA \u0938\u0947 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948, \u091c\u0939\u093e\u0901 V \u0932\u0917\u093e\u0908 \u0917\u0908 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u092e\u0947\u0902 \u0939\u0948 \u0914\u0930 \u0924\u093e\u092a\u092e\u093e\u0928 T \u0921\u093f\u0917\u094d\u0930\u0940 \u0915\u0947\u0932\u094d\u0935\u093f\u0928 \u092e\u0947\u0902 \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0930\u094d\u0925\u0940 300 K \u092a\u0930 5 mA \u0927\u093e\u0930\u093e \u0928\u093e\u092a\u0924\u0947 \u0939\u0941\u090f \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u00b10.01 V \u0915\u0940 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u092c \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u092e\u0947\u0902 mA \u092e\u0947\u0902 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"0.05 mA",
@@ -2231,6 +2348,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u090a\u0901\u091a\u093e\u0908 H \u0915\u0940 \u090f\u0915 \u092e\u0940\u0928\u093e\u0930 \u0938\u0947, \u091a\u093e\u0932 u \u0938\u0947 \u090f\u0915 \u0915\u0923 \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u090a\u092a\u0930 \u0915\u0940 \u0913\u0930 \u092b\u0947\u0902\u0915\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0915\u0923 \u0915\u0947 \u092a\u0943\u0925\u094d\u0935\u0940 \u0924\u0915 \u0917\u093f\u0930\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u093e \u0938\u092e\u092f \u0909\u0938\u0915\u0947 \u0909\u091a\u094d\u091a\u0924\u092e \u092c\u093f\u0928\u094d\u0926\u0941 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0938\u092e\u092f \u0915\u093e n \u0917\u0941\u0928\u093e \u0939\u0948\u0964 H, u \u090f\u0935\u0902 n \u0915\u0947 \u092c\u0940\u091a \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948:",
"options": [
"g H=(n-2)u^2",
@@ -2250,6 +2368,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 38,
"question": "Which series of reactions correctly represents chemical relations related to iron and its compound?",
"options": [
"Fe \u2192 O\u2082, heat \u2192 Fe\u2083O\u2084 \u2192 CO, 600\u00b0C \u2192 FeO \u2192 CO, 700\u00b0C \u2192 Fe",
@@ -2269,6 +2388,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 38,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u093e \u0915\u094c\u0928-\u0938\u093e \u0915\u094d\u0930\u092e \u092f\u0925\u093e\u0930\u094d\u0925 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u094b\u0939\u0947 \u0914\u0930 \u0907\u0938\u0915\u0947 \u092f\u094c\u0917\u093f\u0915\u094b\u0902 \u0915\u0940 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"Fe \u2192 O\u2082, \u0924\u093e\u092a \u2192 Fe\u2083O\u2084 \u2192 CO, 600\u00b0C \u2192 FeO \u2192 CO, 700\u00b0C \u2192 Fe",
@@ -2288,6 +2408,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u092f\u0926\u093f x = -1 \u0924\u0925\u093e x = 2, f(x) = \u03b1 log |x| + \u03b2x^2 + x \u0915\u0947 \u091a\u0930\u092e\u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"\u03b1 = -6, \u03b2 = -1/2",
@@ -2307,6 +2428,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 x^2 + 3y^2 = 6 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0947 \u0907\u0938\u0915\u0940 \u0915\u093f\u0938\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u092a\u0930 \u0916\u0940\u0902\u091a\u0947 \u0917\u090f \u0932\u0902\u092c \u0915\u0947 \u092a\u093e\u0926 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u092a\u0925 \u0939\u0948 :",
"options": [
"(x^2 - y^2)^2 = 6x^2 - 2y^2",
@@ -2326,6 +2448,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u092e\u093e\u0928\u093e f_k(x) = 1/k (sin^k x + cos^k x) \u0939\u0948, \u091c\u0939\u093e\u0901 x \u2208 R \u0924\u0925\u093e k \u2265 1 \u0939\u0948, \u0924\u094b f_4(x) - f_6(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/3",
@@ -2345,6 +2468,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u090f\u0915 \u0916\u0941\u0932\u0940 \u0915\u093e\u0902\u091a \u0915\u0940 \u0928\u0932\u0940 \u0915\u094b \u092a\u093e\u0930\u0947 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0921\u0941\u092c\u094b\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u092a\u093e\u0930\u0947 \u0915\u0947 \u0938\u094d\u0924\u0930 \u0938\u0947 8 cm \u090a\u092a\u0930 \u0915\u093e\u0902\u091a \u0915\u0940 \u0928\u0932\u0940 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u0948\u0964 \u0928\u0932\u0940 \u0915\u0947 \u0916\u0941\u0932\u0947 \u0938\u093f\u0930\u0947 \u0915\u094b \u0905\u092c \u092c\u0928\u094d\u0926 \u0915\u0930 \u0938\u0940\u0932 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0928\u0932\u0940 \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 46 cm \u0938\u0947 \u090a\u092a\u0930 \u0909\u0920\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u0932\u0940 \u0915\u0947 \u092a\u093e\u0930\u0947 \u0915\u0947 \u090a\u092a\u0930 \u0935\u093e\u092f\u0941 \u0938\u094d\u0924\u092e\u094d\u092d \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0905\u092c \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"6 cm",
@@ -2364,6 +2488,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 l \u0915\u0940 \u090f\u0915 \u0905\u0935\u093f\u0928\u093e\u0936\u0940 \u0921\u094b\u0930\u0940 \u0938\u0947 \u092c\u0902\u0927\u0947 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0915\u0947 \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094b \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0906\u0927\u093e\u0930 \u0938\u0947 \u0932\u091f\u0915\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092c\u093f\u0928\u094d\u0926\u0941 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092a\u0930 \u0915\u094b\u0923\u0940\u092f \u091a\u093e\u0932 \u03c9 rad/s \u0938\u0947 \u090f\u0915 \u0935\u0943\u0924\u093e\u0915\u093e\u0930 \u0935\u0943\u0924\u094d\u0924 \u092e\u0947\u0902 \u0918\u0942\u092e\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0932\u092e\u094d\u092c\u0928 \u092c\u093f\u0928\u094d\u0926\u0941 \u092a\u0930 :",
"options": [
"\u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 \u0926\u094b\u0928\u094b\u0902 \u0926\u093f\u0936\u093e \u090f\u0935\u0902 \u092a\u0930\u093f\u092e\u093e\u0923 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0936\u0940\u0932 \u0939\u0948\u0964",
@@ -2383,6 +2508,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 34,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 CH\u2083Cl, CH\u2083CH\u2082Cl, (CH\u2083)\u2082CHCl \u0914\u0930 (CH\u2083)\u2083CCl \u0915\u093e SN\u2082 \u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u092f\u093e\u0936\u0940\u0932\u0924\u093e \u0915\u0947 \u0915\u094d\u0930\u092e \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0915\u094c\u0928 \u0938\u093e \u0939\u0948:",
"options": [
"(CH\u2083)\u2082CHCl > CH\u2083CH\u2082Cl > CH\u2083Cl > (CH\u2083)\u2083CCl",
@@ -2402,6 +2528,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 34,
"question": "M\u00b3\u207a \u0927\u093e\u0924\u0941 \u0906\u092f\u0928 \u0915\u093e \u090f\u0915 \u0927\u093e\u0924\u0941 \u0932\u093f\u0917\u0948\u0902\u0921, L\u2081, L\u2082, L\u2083 \u0914\u0930 L\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0905\u0935\u0936\u094b\u0937\u0923 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u0932\u093e\u0932, \u0939\u0930\u0947, \u092a\u0940\u0932\u0947 \u0914\u0930 \u0928\u0940\u0932\u0947 \u0930\u0902\u0917\u094b\u0902 \u092e\u0947\u0902 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u0915\u094d\u0930\u092e\u093e\u0928\u0941\u0938\u093e\u0930 \u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u091a\u093e\u0930 \u0932\u093f\u0917\u0948\u0902\u0921\u094b\u0902 \u0915\u0940 \u0936\u0915\u094d\u0924\u093f \u0915\u093e \u092c\u0922\u093c\u0924\u093e \u0915\u094d\u0930\u092e \u0939\u0948:",
"options": [
"L\u2081 < L\u2082 < L\u2084 < L\u2083",
@@ -2421,6 +2548,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 34,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 \u091c\u094b \u0938\u0902\u0924\u0941\u0932\u093f\u0924 \u0939\u0948 \u0914\u0930 \u092f\u0925\u093e\u0930\u094d\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u092b\u0932\u094b\u0902 \u0915\u0940 \u0938\u0942\u091a\u0915 \u0939\u0948, \u0939\u0948:",
"options": [
"CuSO\u2084 + 4KCN \u2192 K\u2082[Cu(CN)\u2084] + K\u2082SO\u2084",
@@ -2440,6 +2568,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 22,
"question": "\u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917\u094b\u0902 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928 :",
"options": [
"\u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090f\u0935\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u090a\u0930\u094d\u091c\u093e \u0918\u0928\u0924\u094d\u0935 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964",
@@ -2459,6 +2588,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 22,
"question": "\u090f\u0915 \u0939\u0930\u0947 \u0930\u0902\u0917 \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093e\u092f\u0941-\u091c\u0932 \u0905\u0902\u0924\u0930\u093e\u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0915\u094d\u0930\u093e\u0902\u0924\u093f\u0915 \u0915\u094b\u0923(\u03b8) \u0938\u0947 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u0926\u0943\u0936\u094d\u092f \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0938\u092e\u094d\u092a\u0942\u0930\u094d\u0923 \u0938\u094d\u092a\u0947\u0915\u094d\u091f\u094d\u0930\u092e \u092a\u093e\u0928\u0940 \u0938\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0915\u094b\u0923\u094b\u0902 \u092a\u0930 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u0932\u0947\u0917\u093e\u0964",
@@ -2478,6 +2608,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "10 cm \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0947 \u090f\u0915 \u0938\u094d\u091f\u0940\u0932 \u0915\u0947 \u0924\u093e\u0930 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u091c\u092c \u0924\u093e\u092a\u092e\u093e\u0928 \u092e\u0947\u0902 \u0935\u0943\u0926\u094d\u0927\u093f 100\u00b0C \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u092c \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0938\u094d\u0925\u093f\u0930 \u0930\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0926\u093e\u092c \u0939\u0948:",
"options": [
"2.2 x 10^6 \u092a\u093e\u0938\u094d\u0915\u0932",
@@ -2497,6 +2628,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092a\u0939\u0932\u0940 50 \u0938\u092e \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"833",
@@ -2516,6 +2648,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092f\u0926\u093f z \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 \u0915\u093f |z| \u2265 2 \u0939\u0948, \u0924\u094b z + 1/2 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 :",
"options": [
"\u0905\u0902\u0924\u0930\u093e\u0932 (1, 2) \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964",
@@ -2535,6 +2668,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u091c\u092c \u090f\u0915 \u0930\u092c\u0930 \u0915\u0947 \u0939\u0932\u0915\u0947 \u0915\u094b x \u0926\u0942\u0930\u0940 \u0924\u0915 \u0924\u093e\u0928\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948; \u0924\u092c \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u0902 F=ax+bx^2 \u0915\u093e \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u092c\u0932 \u0932\u0917\u093e\u092f\u093e \u0939\u0948 \u091c\u0939\u093e\u0901 a \u090f\u0935\u0902 b \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u0948\u0902\u0964 \u092c\u093f\u0928\u093e \u0924\u093e\u0928\u093f\u0924 \u0930\u092c\u0930 \u0915\u0947 \u0939\u0932\u0915\u0947 \u0915\u094b L \u0938\u0947 \u0924\u093e\u0928\u093f\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0939\u0948 :",
"options": [
"\\(\\frac{1}{2}aL^2 + \\frac{bL^3}{3}\\)",
@@ -2554,6 +2688,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u091b\u094b\u091f\u0947 \u091a\u0941\u092e\u094d\u092c\u0915 \u0915\u0940 \u0928\u093f\u092a\u0941\u0923\u0924\u093e, \u091c\u0939\u093e\u0901 \u0932\u094c\u0939\u091a\u0941\u092e\u094d\u092c\u0915 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948, 3 x 10^3 A m^-1 \u0939\u0948\u0964 \u091a\u0915\u094d\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e 100 \u090f\u0935\u0902 \u0932\u092e\u094d\u092c\u093e\u0908 10 cm \u0915\u0940 \u090f\u0915 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0906\u0935\u0930\u094d\u0924 \u0927\u093e\u0930\u093e \u092e\u093e\u0928, \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u091a\u0941\u092e\u094d\u092c\u0915 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u094b \u091c\u093e\u092f\u0947, \u0939\u0948 :",
"options": [
"6 A",
@@ -2573,6 +2708,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u092c\u0943\u0939\u0926 \u092d\u0935\u0928 \u092e\u0947\u0902, 40 W \u0915\u0947 15 \u092c\u0932\u094d\u092c, 100 W \u0915\u0947 5 \u092c\u0932\u094d\u092c, 80 W \u0915\u0947 5 \u092a\u0902\u0916\u0947 \u090f\u0935\u0902 1 kW \u0915\u093e 1 \u0939\u0940\u091f\u0930 \u0939\u0948\u0964 \u092d\u0935\u0928 \u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u092a\u0943\u0937\u094d\u0920 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u092e\u0924\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"14 A",
@@ -2592,6 +2728,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0928\u0940\u091a\u0947 \u0915\u0941\u091b \u0905\u0930\u094d\u0927 \u0938\u0947\u0932 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u090f\u0901 \u0926\u0940 \u0917\u0908 \u0939\u0948\u0902 : \nMn\u00b2\u207a + 2e\u207b \u2192 Mn ; E\u00b0 = -1.18 V \n2(Mn\u00b3\u207a + e\u207b \u2192 Mn\u00b2\u207a) ; E\u00b0 = +1.51 V \n3Mn\u00b2\u207a \u2192 Mn + 2Mn\u00b3\u207a \u0915\u0947 \u0932\u093f\u090f E\u00b0 \u0939\u094b\u0917\u093e :",
"options": [
"-0.33 V ; \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0939\u094b\u0917\u0940\u0964",
@@ -2611,6 +2748,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u090f\u0925\u0947\u0928\u0949\u0932 \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0926\u0939\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, \nC\u2082H\u2085OH(l) + 3O\u2082(g) \u2192 2CO\u2082(g) + 3H\u2082O(l), \u092c\u092e \u0915\u0947 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930 \u092e\u0947\u0902 \u092e\u093e\u092a\u093f\u0924 \u090a\u0930\u094d\u091c\u093e 25\u00b0C \u092a\u0930 1364.47 kJ mol\u207b\u00b9 \u0939\u0948\u0964 \u0906\u0926\u0930\u094d\u0936\u0924\u093e \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f \u0926\u0939\u0928 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940, \u0394Hc, \u0939\u094b\u0917\u0940 :",
"options": [
"-1350.50 kJ mol\u207b\u00b9",
@@ -2630,6 +2768,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0906\u0915\u0932\u0928 \u0915\u0947 \u0932\u093f\u090f 1.4 \u0917\u094d\u0930\u093e. \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u0947\u091c\u0947\u0932\u094d\u0921\u0932 \u0935\u093f\u0927\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0905\u092a\u091a\u092f\u0928 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0924\u0925\u093e \u092e\u0941\u0915\u094d\u0924 \u0939\u0941\u090f \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0915\u094b 60 \u092e\u093f\u0932\u0940\u0932\u0940\u091f\u0930 M/10 \u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0905\u092e\u094d\u0932 \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0909\u0926\u093e\u0938\u0940\u0928\u0940\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f 20 \u092e\u093f\u0932\u0940\u0932\u0940\u091f\u0930 M/10 \u0938\u094b\u0921\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0941\u0908\u0964 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0939\u0948 :",
"options": [
"5%",
@@ -2649,6 +2788,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u092f\u0926\u093f a \u2208 R \u0924\u0925\u093e \u0938\u092e\u0940\u0915\u0930\u0923 -3(x - [x])\u00b2 + 2 (x - [x]) + a\u00b2 = 0 (\u091c\u0939\u093e\u0901 [x] \u0909\u0938 \u092c\u0921\u093c\u0947 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 \u091c\u094b \u2264 x \u0939\u0948) \u0915\u093e \u0915\u094b\u0908 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b a \u0915\u0947 \u0938\u092d\u0940 \u0938\u0902\u092d\u0935 \u092e\u093e\u0928 \u091c\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902, \u0935\u0939 \u0939\u0948:",
"options": [
"(1, 2)",
@@ -2668,6 +2808,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u0938\u092e\u093e\u0915\u0932 \u03c0\u2080 \u221a1 + 4 sin\u00b2 x - 4 sin x/2 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"2\u03c0/3 - 4 - 4\u221a3",
@@ -2687,6 +2828,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u092f\u0926\u093f f \u0924\u0925\u093e g, [0, 1] \u092e\u0947\u0902 \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948\u0902 \u091c\u094b f(0) = 2 = g(1), g(0) = 0 \u0914\u0930 f(1) = 6 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0915\u093f\u0938\u0940 c \u2208]0, 1[ \u0915\u0947 \u0932\u093f\u090f:",
"options": [
"2f'(c) = 3g'(c)",
@@ -2706,6 +2848,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 25,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 (1H1), \u0921\u094d\u092f\u0942\u091f\u0947\u0930\u093f\u092f\u092e (1H2), \u090f\u0915\u092c\u093e\u0930 \u0906\u092f\u0928\u093f\u0924 \u0939\u0940\u0932\u093f\u092f\u092e (2He4)+ \u0914\u0930 \u0926\u094d\u0935\u093f \u092c\u093e\u0930 \u0906\u092f\u0928\u093f\u0924 \u0932\u093f\u0925\u093f\u092f\u092e (3Li6)++ \u0938\u092d\u0940 \u092e\u0947\u0902 \u090f\u0915 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0928\u093e\u092d\u093f\u0915 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u0939\u0948\u0964 n=2 \u0938\u0947 n=1 \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u092f\u0947\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb1, \u03bb2, \u03bb3 \u0914\u0930 \u03bb4 \u0939\u0948, \u0924\u092c \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u093f\u0915\u0932\u094d\u092a\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0932\u0917\u092d\u0917 \u0938\u0939\u0940 \u0939\u0948?",
"options": [
"\u03bb1=2\u03bb2=3\u03bb3=4\u03bb4",
@@ -2725,6 +2868,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 33,
"question": "\u0910\u0932\u093f\u092b\u0948\u091f\u093f\u0915 \u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915 \u090f\u092e\u0940\u0928 \u0915\u094b \u0915\u094d\u0932\u094b\u0930\u094b\u092b\u093e\u0930\u094d\u092e \u0914\u0930 \u090f\u0925\u0928\u0949\u0932\u093f\u0915 \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0947 \u0938\u093e\u0925 \u0917\u0930\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092c\u0928\u093e \u0906\u0930\u094d\u0917\u0947\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0910\u0932\u094d\u0915\u093f\u0932 \u0906\u0907\u0938\u094b\u0938\u093e\u0907\u090f\u0928\u093e\u0907\u0921",
@@ -2744,6 +2888,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 32,
"question": "R-CH\u2082-OH \u2192 R-CHO \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u093e \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0905\u092d\u093f\u0915\u0930\u094d\u092e\u0915 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"PCC (\u092a\u093f\u0930\u093f\u0921\u093f\u0928\u093f\u092f\u092e \u0915\u094d\u0932\u094b\u0930\u094b\u0915\u094d\u0930\u094b\u092e\u0947\u091f)",
@@ -2763,6 +2908,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 32,
"question": "CsCl \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u092f \u0918\u0928\u093e\u0915\u093e\u0930 \u091c\u093e\u0932\u0915 \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932\u0940\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u093f\u0928\u093e\u0930\u0947 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'a' \u0939\u094b \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u0938\u0942\u0924\u094d\u0930\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0920\u0940\u0915 \u0939\u094b\u0917\u093e ?",
"options": [
"rCs+ + rCl- = \u221a3a",
@@ -2782,6 +2928,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 32,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u093f\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 H\u2082O\u2082 \u090f\u0915 \u0905\u092a\u091a\u093e\u092f\u0915 \u0915\u093e \u0915\u093e\u092e \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"(b), (d)",
@@ -2801,6 +2948,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "lim x\u21920 sin(\u03c0 cos\u00b2 x) / x\u00b2 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1",
@@ -2820,6 +2968,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u092e\u093e\u0928\u094b \u03b1 \u0924\u0925\u093e \u03b2 \u0938\u092e\u0940\u0915\u0930\u0923 px\u00b2 + qx + r = 0, p\u22600 \u0915\u0947 \u092e\u0942\u0932 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f p, q, r \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e 1/\u03b1 + 1/\u03b2 = 4 \u0939\u0948, \u0924\u094b |\u03b1 - \u03b2| \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2\u221a17 / 9",
@@ -2839,6 +2988,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u090f\u0915 \u092a\u0915\u094d\u0937\u0940 20 \u092e\u0940. \u090a\u0901\u091a\u0947 \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u093f\u0916\u0930 \u092a\u0930 \u092c\u0948\u0920\u093e \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u092d\u0942\u092e\u093f \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 O \u0938\u0947 \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 45\u00b0 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0915\u094d\u0937\u0940 O \u0938\u0947 \u0938\u0940\u0927\u0947 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0909\u0921\u093c\u093e\u0928 \u092d\u0930\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0938\u0947\u0915\u0902\u0921 \u0915\u0947 \u092c\u093e\u0926, O \u0938\u0947 \u092a\u0915\u094d\u0937\u0940 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 \u0918\u091f \u0915\u0930 30\u00b0 \u0930\u0939 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b (\u092e\u0940./\u0938\u0947. \u092e\u0947\u0902) \u092a\u0915\u094d\u0937\u0940 \u0915\u0940 \u091a\u093e\u0932 \u0939\u0948 :",
"options": [
"40(\u221a3 - \u221a2)",
@@ -2858,6 +3008,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u094b \u0915\u0902\u0921\u0947\u0928\u094d\u0938\u0947\u0936\u0928 \u092c\u0939\u0941\u0932\u0915 \u092e\u093e\u0928\u093e \u091c\u093e\u092f\u0947\u0917\u093e ?",
"options": [
"\u0910\u0915\u094d\u0930\u093f\u0932\u094b\u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0932",
@@ -2877,6 +3028,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "NO \u0915\u094c\u0928-\u0938\u093e \u0917\u0941\u0923 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"\u0907\u0938\u0915\u0940 \u092c\u0928\u094d\u0927 \u0915\u094b\u091f\u093f 2.5 \u0939\u0948\u0964",
@@ -2896,6 +3048,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "A = {(x, y) : x\u00b2 + y\u00b2 \u2264 1 \u0924\u0925\u093e y\u00b2 \u2264 1 - x} \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0939\u0948 :",
"options": [
"\u03c0/2 - 4/3",
@@ -2915,6 +3068,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "\u0938\u092e\u0924\u0932 2x - y + z + 3 = 0 \u092e\u0947\u0902 \u0930\u0947\u0916\u093e x - 1/3 = y - 3/1 = z - 4/-5 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0935\u093f\u0902\u092c \u0935\u093e\u0932\u0940 \u0930\u0947\u0916\u093e \u0939\u0948 :",
"options": [
"x + 3/-3 = y - 5/-1 = z + 2/5",
@@ -2934,6 +3088,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f C \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (1, 1) \u092a\u0930 \u0939\u0948 \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e = 1 \u0939\u0948\u0964 \u092f\u0926\u093f T \u0935\u0939 \u0935\u0943\u0924\u094d\u0924 \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (0, y) \u0939\u0948, \u091c\u094b \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 C \u0915\u094b \u092c\u093e\u0939\u0930\u0940 \u0930\u0942\u092a \u0938\u0947 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u094b T \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a3/2",
@@ -2953,6 +3108,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u0926\u094b \u0930\u0947\u0916\u093e\u090f\u0901, \u091c\u093f\u0928\u0915\u0947 \u0926\u093f\u0936\u093e-\u0915\u094b\u0938\u093e\u0907\u0928, \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 l + m + n = 0 \u0924\u0925\u093e l\u00b2 = m\u00b2 + n\u00b2 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \u0939\u0948 :",
"options": [
"\u03c0/4",
@@ -2972,6 +3128,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u092f\u0926\u093f \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 'B' \u0915\u0947 \u092a\u094d\u0930\u092d\u093e\u0935 \u0938\u0947, \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0917\u0924\u093f \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, 'm' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0924\u0925\u093e 'q' \u0906\u0935\u0947\u0936 \u0915\u0947 \u0915\u0923 \u092a\u0930, \u092c\u094b\u0939\u0930 \u092e\u0949\u0921\u0932 \u0932\u093e\u0917\u0942 \u0915\u093f\u092f\u093e (\u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u093e\u092f\u093e) \u091c\u093e\u090f \u0924\u094b, \u0906\u0935\u0947\u0936\u093f\u0924 \u0915\u0923 \u0915\u0940 n\u0935\u0940\u0902 \u0938\u094d\u0924\u0930 \u092e\u0947\u0902 \u090a\u0930\u094d\u091c\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"n (hqB / 2\u03c0m)",
@@ -2991,6 +3148,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u0915\u093f\u0938\u0940 \u0905-\u0935\u093e\u0930\u094d\u0937\u093f\u0924 n-p \u0938\u0902\u0927\u093f \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 n - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 p - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u094b \u0935\u093f\u0938\u0930\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f :",
"options": [
"p - \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u091b\u093f\u0926\u094d\u0930 (\u0939\u094b\u0932) \u0909\u0928\u094d\u0939\u0947\u0902 \u0906\u0915\u0930\u094d\u0937\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -3010,6 +3168,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "\u0917\u0948\u0938\u0940\u092f N\u2082O\u2084 \u0917\u0948\u0938\u0940\u092f NO\u2082 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948:\nN\u2082O\u2084(g) \u21cc 2NO\u2082(g)\n300 K \u0914\u0930 1 atm \u0926\u093e\u092c \u092a\u0930, N\u2082O\u2084 \u0915\u0940 \u0935\u093f\u0918\u091f\u0928 \u092e\u093e\u0924\u094d\u0930\u093e 0.2 \u0939\u0948\u0964 \u0905\u0917\u0930 \u090f\u0915 \u092e\u094b\u0932 N\u2082O\u2084 \u0917\u0948\u0938 \u0915\u094b \u090f\u0915 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0932\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u092c \u0938\u093e\u092e\u094d\u092f \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 \u0939\u0948 :",
"options": [
"1.56 g/L",
@@ -3029,6 +3188,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "1.1 V \u0935\u093f\u0937\u092f \u0915\u0947 \u0938\u0947\u0932 Zn|Zn\u00b2\u207a (1 M) || Cu\u00b2\u207a (1 M) | Cu, \u092e\u0947\u0902 \u090f\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u092c\u093e\u0939\u094d\u092f \u0935\u093f\u0937\u092f (E\u2091\u2093\u209c) \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u091c\u092c E\u2091\u2093\u209c < 1.1 V \u0924\u0925\u093e E\u2091\u2093\u209c > 1.1 V, \u0935\u0947 \u0924\u092c \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0935\u093e\u0939 \u0939\u094b\u0924\u093e \u0939\u0948:",
"options": [
"\u090f\u0928\u094b\u0921 \u0938\u0947 \u0915\u0948\u0925\u094b\u0921 \u0924\u0925\u093e \u0915\u0948\u0925\u094b\u0921 \u0938\u0947 \u090f\u0928\u094b\u0921",
@@ -3048,6 +3208,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u0915\u093f\u0938\u0940 \u092c\u094d\u0932\u0949\u0915 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m = 0.1 kg \u0939\u0948\u0964 \u092f\u0939 \u090f\u0915 \u0910\u0938\u0940 \u0915\u092e\u093e\u0928\u0940 (\u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917) \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0915\u092e\u093e\u0928\u0940 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 k \u0939\u0948\u0964 \u0907\u0938\u0915\u094b \u0907\u0938\u0915\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 x \u0926\u0942\u0930\u0940 \u0924\u0915 \u0938\u0902\u092a\u0940\u0921\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u091b\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 x/2 \u0926\u0942\u0930\u0940 \u0924\u092f \u0915\u0930\u0928\u0947 \u092a\u0930 \u092f\u0939 \u090f\u0915 \u0905\u0928\u094d\u092f \u092c\u094d\u0932\u0949\u0915 \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u094d\u0937\u0923\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u0930\u0941\u0915 \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u092c\u0915\u093f, \u0926\u0942\u0938\u0930\u093e \u092c\u094d\u0932\u0949\u0915 3 ms-1 \u0915\u0947 \u0935\u0947\u0917 \u0938\u0947 \u0917\u0924\u093f \u0915\u0930\u0928\u0947 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0924\u094b, \u0915\u092e\u093e\u0928\u0940 \u0915\u0940 \u0915\u0941\u0932 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0939\u0948 :",
"options": [
"1.5 J",
@@ -3067,6 +3228,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "'m' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0915\u093f\u0938\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0920\u094b\u0938 \u0938\u093f\u0932\u093f\u0902\u0921\u0930 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u090f\u0915 \u092c\u0932 F \u0932\u0917\u093e\u0915\u0930, \u0909\u0938\u0947 \u0915\u093f\u0938\u0940 \u0938\u092e\u0924\u0932 \u0938\u0924\u0939 \u092a\u0930, \u0909\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0916\u0940\u0902\u091a\u093e \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u092f\u0939 \u0938\u093f\u0932\u093f\u0902\u0921\u0930 \u092c\u0917\u0948\u0930 (\u092c\u093f\u0928\u093e) \u092b\u093f\u0938\u0932\u0947 'a' \u0924\u094d\u0935\u0930\u0923 \u0938\u0947 \u0932\u0941\u0922\u093c\u0915 \u0930\u0939\u093e \u0939\u0948, \u0924\u094b, 'F' \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"ma",
@@ -3086,6 +3248,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0920\u094b\u0938 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0917\u0948\u0938\u094b\u0902 \u0915\u0947 \u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0947 \u0938\u0902\u0926\u0930\u094d\u092d \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0917\u0932\u0924 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0905\u0935\u0936\u094b\u0937\u0923 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964",
@@ -3105,6 +3268,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0906\u0935\u0930\u094d\u0924 \u0938\u093e\u0930\u0923\u0940 \u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0938\u094d\u0935\u0930\u0942\u092a \u092e\u0947\u0902, \u0905\u0917\u0930 \u0938\u0902\u092f\u094b\u091c\u0940 \u0915\u094b\u0937 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0935\u093f\u0928\u094d\u092f\u093e\u0938 5s\u00b2 5p\u2074 \u0939\u0948 \u0924\u092c \u0935\u0939 \u0924\u0924\u094d\u0935 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948 :",
"options": [
"\u0935\u0930\u094d\u0917 16 \u0914\u0930 \u0906\u0935\u0930\u094d\u0924 6 \u092e\u0947\u0902",
@@ -3124,6 +3288,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0927\u093e\u0924\u0941\u0913\u0902 \u0915\u0947 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0923 \u092e\u0947\u0902, \u0928\u093f\u0938\u094d\u0924\u093e\u092a\u0928 \u0938\u0947 \u0905\u0915\u094d\u0938\u0930 \u092c\u0928\u0924\u0947 \u0939\u0948\u0902 :",
"options": [
"\u0927\u093e\u0924\u0941 \u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f",
@@ -3143,6 +3308,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u091c\u0932 \u0915\u0940 \u0938\u094d\u0925\u093e\u092f\u0940 \u0915\u0920\u094b\u0930\u0924\u093e \u0915\u094b \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947 \u0920\u0940\u0915 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\u0909\u092c\u093e\u0932\u0928\u093e",
@@ -3162,6 +3328,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090f\u0915 \u0917\u094b\u0932\u0940 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u090f\u0915 \u0910\u0938\u0947 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0915\u0948\u0932\u093f\u092a\u0930\u094d\u0938 \u0938\u0947 \u0928\u093e\u092a\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u093e \u090f\u0915 \u092d\u093e\u0917 (MSD) 0.1 cm \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u092e\u0947\u0902 \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u092a\u0948\u092e\u093e\u0928\u0947 (VS) \u0915\u0947 10 \u092d\u093e\u0917, \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0947 9 \u092d\u093e\u0917\u094b\u0902 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902\u0964 \u0917\u094b\u0932\u0940 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0924\u0940\u0928 \u092a\u0920\u0928\u093e\u0902\u0915 (\u0930\u0940\u0921\u093f\u0902\u0917) \u092f\u0939\u093e\u0901 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902:\n\u0915\u094d\u0930\u092e\u093e\u0902\u0915 | \u092e\u0941\u0916\u094d\u092f \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0940 \u092e\u093e\u092a cm | \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u092a\u0948\u092e\u093e\u0928\u0947 \u0915\u0947 \u092d\u093e\u0917\n1. | 0.5 | 8\n2. | 0.5 | 4\n3. | 0.5 | 6\n\u092f\u0926\u093f \u0935\u0930\u094d\u0928\u093f\u092f\u0930 \u0915\u0948\u0932\u093f\u092a\u0930\u094d\u0938 \u0915\u0940 \u0936\u0942\u0928\u094d\u092f \u0924\u094d\u0930\u0941\u091f\u093f -0.03 cm, \u0939\u0948 \u0924\u094b, \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u0938\u0902\u0936\u094b\u0927\u093f\u0924 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"0.56 cm",
@@ -3181,6 +3348,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f \u0930\u094b\u0932\u094d\u0938 \u0915\u093e \u092a\u094d\u0930\u092e\u0947\u092f \u092b\u0932\u0928 f(x) = 2x\u00b3 + bx\u00b2 + cx, x \u2208 [-1, 1] \u0915\u0947 \u0932\u093f\u090f \u092c\u093f\u0902\u0926\u0941 x = 1/2 \u092a\u0930 \u0932\u093e\u0917\u0942 \u0939\u094b\u0924\u093e \u0939\u0948, \u0924\u094b 2b + c \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1",
@@ -3200,6 +3368,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f P(0, h) \u0938\u0947 \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 16 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e\u090f\u0901 x-\u0905\u0915\u094d\u0937 \u0915\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0394APB \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948, \u0924\u094b h \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4\u221a3",
@@ -3219,6 +3388,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b dx / ((x + 1)\u00b3/4 (x - 2)\u2075/4) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"4 (x + 1)\u00b9/\u2074 / (x - 2) + C",
@@ -3238,6 +3408,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": " \u0915\u0949\u0932\u092e-A \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u092c\u0939\u0941\u0932\u0915\u094b\u0902 \u0915\u094b \u0915\u0949\u0932\u092e-B \u092e\u0947\u0902 \u0909\u0928\u0915\u0947 \u092a\u094d\u0930\u092e\u0941\u0916 \u0909\u092a\u092f\u094b\u0917 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0930\u0947\u0902 \u0924\u0925\u093e \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u0947\u0902 : ",
"options": [
"(A) - (ii), (B) - (i), (C) - (iii), (D) - (iv)",
@@ -3257,6 +3428,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": " \u0938\u094d\u091f\u093e\u0930\u094d\u091a \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0905\u092a\u0918\u091f\u0928 \u0938\u0947 \u092e\u093f\u0932\u0924\u093e \u0939\u0948 : ",
"options": [
"\u0917\u094d\u0932\u0942\u0915\u094b\u0938 \u0914\u0930 \u092b\u094d\u0930\u0941\u0915\u094d\u091f\u094b\u0938 \u0915\u0940 \u0938\u092e\u092e\u094b\u0932 \u092e\u093e\u0924\u094d\u0930\u093e",
@@ -3276,6 +3448,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": " \u0935\u0939 \u0927\u0928\u093e\u092f\u0928 \u091c\u094b \u0924\u0928\u0941 HCl \u0915\u0947 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 H\u2082S \u0938\u0947 \u0905\u0935\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 : ",
"options": [
"Cu\u00b2\u207a",
@@ -3295,6 +3468,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u090f\u0915 \u092a\u0924\u0932\u0940, \u090f\u0915\u0938\u092e\u093e\u0928, \u0935\u0930\u094d\u0917\u093e\u0915\u093e\u0930, \u091a\u093e\u0926\u0930 (\u0936\u0940\u091f) \u0915\u093f\u0938\u0940 \u0926\u0943\u0922\u093c \u092a\u0926\u093e\u0930\u094d\u0925 \u0915\u0940 \u092c\u0928\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u090f\u0915 \u092d\u0941\u091c\u093e 'a', \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u0924\u0925\u093e \u091c\u0921\u093c\u0924\u094d\u0935 \u090f\u0915 \u0935\u093f\u0915\u0930\u094d\u0923 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f, \u0907\u0938\u0915\u093e \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 I \u0939\u0948 \u0924\u094b :",
"options": [
"I > ma\u00b2/12",
@@ -3314,6 +3488,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u090f\u0915 \u092c\u0939\u0941\u0924 \u0932\u092e\u094d\u092c\u0940 \u0917\u0948\u0932\u0947\u0915\u0938\u0940 (\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 L) \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u0926\u094d\u0930\u0935 \u0915\u0940 \u092c\u0928\u0940 \u0939\u0948, \u0907\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R (R< 0 \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928 f(x) = \u222b (log t / (1 + t)) dt \u0939\u0948, \u0924\u094b f(x) + f(1/x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4 (log x)^2",
@@ -3428,6 +3608,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u092f\u0926\u093f y + 2x^2 = 0 \u0924\u0925\u093e y + 3x^2 = 1 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092c\u0926\u094d\u0927 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3/5",
@@ -3447,6 +3628,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u092f\u0926\u093f y(x), \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 (x + 2) dy/dx = x^2 + 4x - 9, x \u2260 -2 \u0914\u0930 y(0) = 0, \u0915\u093e \u0939\u0932 \u0939\u0948, \u0924\u094b y(-4) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"0",
@@ -3466,6 +3648,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u092f\u094c\u0917\u093f\u0915 A \u091c\u093f\u0938\u0915\u093e \u0905\u0923\u0941\u0938\u0942\u0924\u094d\u0930 C10H13Cl \u0939\u0948, \u091a\u093e\u0902\u0926\u0940 \u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f \u0935\u093f\u0932\u092f\u0928 \u092a\u0930 \u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0926\u0947\u0924\u093e \u0939\u0948\u0964 A \u090f\u0925\u0947\u0928\u0949\u0932\u093f\u0915 KOH \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u092e\u0941\u0916\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u092f\u094c\u0917\u093f\u0915 B \u0926\u0947\u0924\u093e \u0939\u0948\u0964 B \u0915\u093e \u0913\u091c\u094b\u0928-\u0905\u092a\u0918\u091f\u0928 \u0915\u0930\u0928\u0947 \u092a\u0930 \u092f\u094c\u0917\u093f\u0915 C \u0924\u0925\u093e D \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 C \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u0947\u0924\u093e \u0939\u0948, \u092a\u0930\u0902\u0924\u0941 \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u0915\u094d\u0937\u0947\u092a\u0923 \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u093e\u0964 D \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u0915\u094d\u0937\u0947\u092a\u0923 \u0926\u0947\u0924\u093e \u0939\u0948, \u092a\u0930\u0902\u0924\u0941 \u0915\u0948\u0928\u093f\u091c\u093e\u0930\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u0939\u0940\u0902 \u0926\u0947\u0924\u093e\u0964 A \u0939\u0948 :",
"options": [
"C6H5-CH2-C(CH3)2Cl",
@@ -3484,6 +3667,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u092c\u093f\u0902\u0926\u0941 (0, 8/3) (1, 3) \u0924\u0925\u093e (82, 30) :",
"options": [
"\u090f\u0915 \u0905\u0927\u093f\u0915\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -3503,6 +3687,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u092e\u093e\u0928 L, \u092c\u093f\u0902\u0926\u0941 P(1, 2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0935\u0939 \u0930\u0947\u0916\u093e \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u0928\u093f\u0930\u094d\u200d\u0926\u093f\u0937\u094d\u091f\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u091f\u093e\u0935 \u0930\u0947\u0916\u093e\u0916\u0902\u0921 P \u092a\u0930 \u0938\u092e\u0926\u094d\u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092e\u093e\u0928 L1 \u0935\u0939 \u0930\u0947\u0916\u093e \u0939\u0948 \u091c\u094b L \u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0939\u0948 \u0924\u0925\u093e \u092c\u093f\u0902\u0926\u0941 (-2, 1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b L \u0924\u0925\u093e L1 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 :",
"options": [
"(4/5, 12/5)",
@@ -3522,6 +3707,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u092f\u0926\u093f y + 3x = 0, \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 - 30x = 0 \u0915\u0940 \u090f\u0915 \u091c\u0940\u0935 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948, \u0924\u094b \u0909\u0938 \u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938, \u092f\u0939 \u091c\u0940\u0935 \u0939\u0948, \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x^2 + y^2 + 3x + 9y = 0",
@@ -3541,6 +3727,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u0915\u093f\u0938\u0940 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 25 cm \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 2 cm \u0939\u0948 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 \u0924\u093e\u0930 \u0915\u0947 \u0915\u0941\u0932 500 \u0932\u092a\u0947\u091f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938\u092e\u0947\u0902 15 A \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964 \u092f\u0939 \u092a\u0930\u093f\u0928\u093e\u0932\u093f\u0915\u093e, \u0907\u0938\u0940 \u0906\u0915\u093e\u0930 \u0924\u0925\u093e \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923/\u0906\u0935\u0930\u094d\u0924\u0928, \u0915\u0947 \u0924\u0941\u0932\u094d\u092f \u0939\u0948 \u0924\u094b, |M| \u0939\u0948 :",
"options": [
"3\u03c0 Am\u207b\u00b9",
@@ -3560,6 +3747,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u0915\u093f\u0938\u0940 \u0915\u0941\u0902\u0921\u0932\u0940 \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928, 0.1 s \u092e\u0947\u0902, 5 A \u0938\u0947 2 A \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947, 50 V \u0915\u0940 \u0914\u0938\u0924 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0924\u094b, \u0907\u0938 \u0915\u0941\u0902\u0921\u0932\u0940 \u0915\u093e \u0938\u094d\u0935\u092a\u094d\u0930\u0947\u0930\u0915\u0924\u094d\u0935 \u0939\u0948 :",
"options": [
"0.67 H",
@@ -3579,6 +3767,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u0917\u0941\u0923\u0928\u092b\u0932 xyz \u0915\u093e \u0935\u0939 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u0942\u0932\u094d\u092f \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u0930\u0923\u093f\u0915\n\\[\n\\begin{vmatrix}\nx & 1 & 1 \\\\\n1 & y & 1 \\\\\n1 & 1 & z \\\\\n\\end{vmatrix}\n\\]\n\u090b\u0923\u0924\u0930 \u0939\u0948, \u0939\u0948 :",
"options": [
"-2\u221a2",
@@ -3598,6 +3787,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u092f\u0926\u093f A = \n\\[\n\\begin{bmatrix}\n0 & -1 \\\\\n1 & 0 \\\\\n\\end{bmatrix}\n\\]\n\u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u090f\u0915 \u0915\u0925\u0928 \u0938\u0939\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"A\u2074 - I = A\u00b2 + I",
@@ -3617,6 +3807,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "15 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0924\u0925\u093e 15 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0910\u0938\u0940 15 \u091f\u092e\u0947\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 \u090f\u0915 \u092a\u0941\u0930\u0941\u0937 \u0924\u0925\u093e \u090f\u0915 \u092e\u0939\u093f\u0932\u093e \u0939\u094b, \u091a\u0941\u0928\u0928\u0947 \u0915\u0947 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"1120",
@@ -3636,6 +3827,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u092e\u093e\u0928\u093e \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0924\u0940\u0928 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 39 \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0905\u0902\u0924\u093f\u092e \u091a\u093e\u0930 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 178 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u092a\u094d\u0930\u0925\u092e \u092a\u0926 10 \u0939\u0948, \u0924\u094b \u0907\u0938 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u092e\u093e\u0927\u094d\u092f\u0915 \u0939\u0948 :",
"options": [
"26.5",
@@ -3655,6 +3847,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u092f\u0926\u093f (1 + x)^n \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 \u0924\u0940\u0928 \u0915\u094d\u0930\u092e\u093f\u0915 \u092a\u0926\u094b\u0902 \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u092e\u0947\u0902 1 : 7 : 42 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948, \u0924\u094b \u0907\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u0932\u093e \u092a\u0926 \u0939\u0948 :",
"options": [
"\u091b\u0920\u093e",
@@ -3674,6 +3867,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "lim x\u21920 e^x^2 - cosx / sin^2x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3",
@@ -3693,6 +3887,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u0935\u0915\u094d\u0930 x = 2 cost + 2t sint, y = 2 sint - 2t cost \u092a\u0930 t = \u03c0/4 \u092a\u0930 \u0916\u0940\u0902\u091a\u0947 \u0917\u090f \u0905\u092d\u093f\u0932\u0902\u092c \u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"4",
@@ -3712,6 +3907,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u092f\u0926\u093f \u0936\u093e\u0902\u0915\u0935 y - 6 = x^2 \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (2, 10) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 + 8x - 2y = k \u0915\u094b (\u0915\u093f\u0938\u0940 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 k \u0915\u0947 \u0932\u093f\u090f) \u092c\u093f\u0902\u0926\u0941 (\u03b1, \u03b2) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0940 \u0939\u0948, \u0924\u094b (\u03b1, \u03b2) \u0939\u0948 :",
"options": [
"(-6/17, 10/17)",
@@ -3731,6 +3927,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f 9x^2 - 4y^2 = 36 \u0915\u0947 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0924\u0925\u093e \u0932\u0918\u0941 \u0905\u0915\u094d\u0937 \u0915\u094d\u0930\u092e\u0936\u0903 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0947 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0924\u0925\u093e \u0938\u0902\u092f\u0941\u0917\u094d\u092e \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u0947 \u0905\u0928\u0941\u0930\u0942\u092a \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0928 \u0926\u094b \u0936\u093e\u0902\u0915\u0935\u094b\u0902 \u0915\u094b \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e\u0913\u0902 \u0915\u093e \u0917\u0941\u0923\u0928\u092b\u0932 1/2 \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"(\u221a13, 0)",
@@ -3750,6 +3947,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0915\u093f\u0938\u0940 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u092e\u0947\u0902, \u0915\u093f\u0938\u0940 \u0905\u0923\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0917\u0948\u0938 \u0915\u0947 \u092c\u0902\u0926 \u092a\u093e\u0924\u094d\u0930 \u0915\u0940 \u0926\u0940\u0935\u093e\u0930\u094b\u0902 \u092a\u0930 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0914\u0938\u0924 \u092c\u0932, \u0917\u0948\u0938 \u0915\u0947 \u0924\u093e\u092a T \u092a\u0930, T^n \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0924\u094b, q \u0915\u093e \u0938\u092e\u0940\u092a\u0935\u0930\u094d\u0924\u0940 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
@@ -3769,6 +3967,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0915\u093f\u0938\u0940 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0940 \u0915\u094b\u0923\u0940\u092f \u0906\u0935\u0943\u0924\u094d\u0924\u093f 2 rad s^\u22121 \u0939\u0948\u0964 \u0907\u0938 \u092a\u0930 \u090f\u0915 \u092c\u093e\u0939\u094d\u092f \u092c\u0932, F=sint \u0928\u094d\u092f\u0942\u091f\u0928 (N) \u0932\u0917\u093e\u092f\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092e\u092f t=0 \u092a\u0930, \u092f\u0939 \u0926\u094b\u0932\u0915, \u0905\u092a\u0928\u0940 \u0938\u093e\u092e\u094d\u092f\u093e\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0935\u093f\u0930\u093e\u092e \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0939\u0948 \u0924\u094b, \u0907\u0938\u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0915\u0947 \u0915\u093f\u0938\u0940 \u0938\u092e\u092f \u092e\u0947\u0902, \u0907\u0938\u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0915\u093f\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u094b\u0917\u0940 ?",
"options": [
"sint + 1/2 sin 2t",
@@ -3788,6 +3987,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "10 ms^\u22121 \u0915\u0940 \u091a\u093e\u0932 \u0938\u0947 \u0915\u093f\u0938\u0940 \u0926\u0940\u0935\u093e\u0930 \u0915\u0940 \u0913\u0930 \u091c\u093e\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u091a\u092e\u0917\u093e\u0926\u0921\u093c, \u0926\u0940\u0935\u093e\u0930 \u0915\u0940 \u0913\u0930 8000 Hz \u0915\u093e \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 (\u0938\u093f\u0917\u094d\u0928\u0932) \u092a\u094d\u0930\u0947\u0937\u093f\u0924 \u0915\u0930\u0924\u093e (\u092d\u0947\u091c\u0924\u093e) \u0939\u0948\u0964 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u0935\u0939 f \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0927\u094d\u0935\u0928\u093f, \u0938\u0941\u0928\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f, \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u091a\u093e\u0932 320 ms^\u22121 \u0939\u0948 \u0924\u094b, Hz \u092e\u0947\u0902 f \u0915\u093e \u0938\u092e\u0940\u092a\u0935\u0930\u094d\u0924\u0940 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"8258",
@@ -3807,6 +4007,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u0906\u092a\u0915\u094b \u090f\u0915 \u0936\u0947\u0935\u093f\u0902\u0917 \u0926\u0930\u094d\u092a\u0923 \u092c\u0928\u093e\u0928\u0947 \u0915\u094b \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u094b\u0908 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0907\u0938 \u0926\u0930\u094d\u092a\u0923 \u0915\u094b \u0905\u092a\u0928\u0947 \u091a\u0947\u0939\u0930\u0947 \u0938\u0947 10 cm \u0926\u0942\u0930 \u0930\u0916\u0924\u093e \u0939\u0948 \u0914\u0930 \u091a\u0947\u0939\u0930\u0947 \u0915\u0947 \u0906\u0935\u0930\u094d\u0927\u093f\u0924 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u0915\u094b, \u0938\u0941\u0935\u093f\u0927\u093e\u091c\u0928\u0915-\u0926\u0930\u094d\u0936\u0928 \u0915\u0940 \u0928\u093f\u0915\u091f\u0924\u092e \u0926\u0942\u0930\u0940, 25 cm \u092a\u0930 \u0926\u0947\u0916\u0924\u093e \u0939\u0948 \u0924\u094b, \u0926\u0930\u094d\u092a\u0923 \u0915\u0940 \u0935\u0915\u094d\u0930\u0924\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u094b\u0917\u0940:",
"options": [
"30 cm",
@@ -3826,6 +4027,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "61 g \u092c\u0947\u0930\u093f\u092f\u092e \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921 \u0915\u0947 \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u091f \u0915\u0947 \u090f\u0915 \u0928\u092e\u0942\u0928\u0947 \u0915\u094b \u0917\u0930\u092e \u0915\u0930\u0915\u0947 \u0938\u0941\u0916\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u0938\u0942\u0916\u0947 \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0935\u091c\u0928 52 g \u0925\u093e\u0964 \u0939\u093e\u0907\u0921\u094d\u0930\u0947\u091f \u0932\u0935\u0923 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u0948 : (\u092a\u0930\u092e\u093e\u0923\u0941 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, Ba=137 amu, Cl=35.5 amu)",
"options": [
"BaCl\u2082\u00b7H\u2082O",
@@ -3845,6 +4047,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u0917\u0948\u0938\u094b\u0902 \u0915\u0947 \u0905\u0923\u0941\u0917\u0924\u093f\u0915 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u090f\u0915 \u0917\u0948\u0938 \u092c\u0939\u0941\u0924 \u0938\u093e\u0930\u0947 \u0938\u092e\u0915\u0915\u094d\u0937 \u0915\u0923\u094b\u0902 \u0938\u0947 \u092c\u0928\u0924\u0940 \u0939\u0948 \u091c\u094b \u0932\u0917\u093e\u0924\u093e\u0930 \u0917\u0924\u093f\u0936\u0940\u0932 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -3864,6 +4067,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0915\u094d\u0938\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u0924\u093e\u092a\u0940\u092f \u0938\u094d\u0925\u093e\u092f\u093f\u0924\u094d\u0935 \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0939\u0948 :",
"options": [
"Ba(OH)\u2082 < Sr(OH)\u2082 < Ca(OH)\u2082 < Mg(OH)\u2082",
@@ -3883,6 +4087,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0938\u092c\u0938\u0947 \u0915\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0906\u0915\u094d\u0938\u094b\u090f\u0938\u093f\u0921 \u092c\u0928\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928",
@@ -3902,6 +4107,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0935\u0940.\u090f\u0938.\u0908.\u092a\u0940.\u0906\u0930. (VSEPR) \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, XeOF\u2084 \u0915\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0939\u0948 :",
"options": [
"\u0924\u094d\u0930\u093f\u0915\u094b\u0923\u0940\u092f \u0926\u094d\u0935\u093f\u092a\u093f\u0930\u093e\u092e\u093f\u0921\u0932",
@@ -3921,6 +4127,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0932\u0935\u0923 X \u0915\u093e \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 SCN\u207b \u0915\u0947 \u0938\u093e\u0925 \u0916\u0942\u0928 \u0932\u093e\u0932 \u0930\u0902\u0917 \u0914\u0930 K\u2084[Fe(CN)\u2086] \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u0932\u093e \u0930\u0902\u0917 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 X \u090f\u0915 \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0915\u094d\u0930\u094b\u092e\u093e\u0907\u0932 \u0915\u094d\u0932\u094b\u0930\u093e\u0907\u0921 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u092d\u0940 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0932\u0935\u0923 X \u0939\u0948 :",
"options": [
"CuCl\u2082",
@@ -3940,6 +4147,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0905\u0923\u0941/\u0906\u092f\u0928 \u0938\u0902\u0915\u0941\u0932 \u092f\u094c\u0917\u093f\u0915\u094b\u0902 \u092e\u0947\u0902 \u0932\u093f\u0917\u0948\u0902\u0921 \u0928\u0939\u0940\u0902 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948?",
"options": [
"CO",
@@ -3959,6 +4167,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 \\( \\frac{x-1}{\\alpha} = \\frac{y+1}{-1} = \\frac{z}{1} \\) (\\( \\alpha \\neq -1 \\)) \u0924\u0925\u093e \\( x + y + z + 1 = 0 = 2x - y + z + 3 \\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \\( \\frac{1}{\\sqrt{3}} \\) \u0939\u0948, \u0924\u094b \\(\\alpha\\) \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\(\\frac{-16}{19}\\)",
@@ -3978,6 +4187,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092e\u093e\u0928 \\(\\vec{a}\\) \u0924\u0925\u093e \\(\\vec{b}\\) \u0910\u0938\u0947 \u092e\u093e\u0924\u094d\u0930\u0915 \u0938\u0926\u093f\u0936 \u0939\u0948\u0902 \u0915\u093f \\(|\\vec{a} + \\vec{b}| = \\sqrt{3}\\) \u0939\u0948\u0964 \u092f\u0926\u093f \\(\\vec{c} = \\vec{a} + 2\\vec{b} + 3(\\vec{a} \\times \\vec{b})\\) \u0939\u0948, \u0924\u094b \\(2|\\vec{c}|\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"\\(\\sqrt{55}\\)",
@@ -3997,6 +4207,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092e\u093e\u0928 X \u090f\u0915 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 10 \u0905\u0935\u092f\u0935 \u0939\u0948\u0902 \u0924\u0925\u093e P(X) \u0907\u0938\u0915\u093e \u0918\u093e\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0964 \u092f\u0926\u093f P(X) \u0938\u0947 A \u0924\u0925\u093e B \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e, \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u0928 \u0938\u0939\u093f\u0924, \u0932\u093f\u090f \u0917\u090f \u0939\u0948\u0902, \u0924\u094b A \u0924\u0925\u093e B \u092e\u0947\u0902 \u092c\u0930\u093e\u092c\u0930 \u0905\u0935\u092f\u0935\u094b\u0902 \u0915\u0947 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{{^{20}C_{10}}}{2^{10}}\\)",
@@ -4016,6 +4227,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u090f\u0915 \u092b\u0948\u0915\u094d\u091f\u094d\u0930\u0940 \u0926\u094b \u092a\u093e\u0930\u093f\u092f\u094b\u0902, \u0926\u093f\u0928 \u0924\u0925\u093e \u0930\u093e\u0924, \u092e\u0947\u0902 \u091a\u0932\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 70 \u0924\u0925\u093e 30 \u0915\u093e\u092e\u0917\u093e\u0930 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0926\u093f\u0928 \u0915\u0940 \u092a\u093e\u0930\u0940 \u0915\u0947 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 \u20b9 54 \u0939\u0948 \u0924\u0925\u093e \u0938\u092d\u0940 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 \u20b9 60 \u0939\u0948, \u0924\u094b \u0930\u093e\u0924 \u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u093e\u092e\u0917\u093e\u0930\u094b\u0902 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u0935\u0947\u0924\u0928 (\u20b9 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"66",
@@ -4035,6 +4247,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u092e\u0947\u0902, a/b = 2 + \u221a3 \u0924\u0925\u093e \u2220C=60\u00b0 \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (\u2220A, \u2220B) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(15\u00b0, 105\u00b0)",
@@ -4054,6 +4267,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092f\u0926\u093f f(x) = 2tan\u207b\u00b9x + sin\u207b\u00b9(2x/(1 + x\u00b2)) x > 1 \u0939\u0948, \u0924\u094b f(5) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u03c0/2",
@@ -4073,6 +4287,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u0915\u0925\u0928 : \"\u092f\u0926\u093f \u0935\u0930\u094d\u0937\u093e \u0939\u094b \u0930\u0939\u0940 \u0939\u0948, \u0924\u094b \u092e\u0948\u0902 \u0928\u0939\u0940\u0902 \u0906\u090a\u0902\u0917\u093e\u0964\" \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u092f\u0926\u093f \u092e\u0948\u0902 \u0906\u090a\u0902\u0917\u093e, \u0924\u094b \u0935\u0930\u094d\u0937\u093e \u0928\u0939\u0940\u0902 \u0939\u094b \u0930\u0939\u0940 \u0939\u0948\u0964",
@@ -4092,6 +4307,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u0915\u0941\u0932 \u0906\u092f\u0928\u094b\u0902 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u0930 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948",
"options": [
"(a) \u0914\u0930 (b) \u0915\u0947\u0935\u0932 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964",
@@ -4111,6 +4327,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0927\u0942\u092e \u0915\u094b\u0939\u0930\u0947 \u092e\u0947\u0902 \u0910\u0932\u094d\u0921\u093f\u0939\u093e\u0907\u0921, \u0915\u0940\u091f\u094b\u0928, \u092a\u0947\u0930\u0949\u0915\u094d\u0938\u0940 \u090f\u0938\u0940\u091f\u093e\u0907\u0932 \u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0932 (PAN) \u0907\u0924\u094d\u092f\u093e\u0926\u093f \u0915\u0947 \u0905\u0932\u093e\u0935\u093e \u0905\u0927\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u0947\u0902 X \u092d\u0940 \u0939\u094b\u0924\u093e \u0939\u0948, X \u0939\u0948 :",
"options": [
"CH\u2084",
@@ -4130,6 +4347,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "1.4 g \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u0915\u094b \u0915\u0947\u091c\u0947\u0932\u094d\u0921\u093e\u0932 \u0935\u093f\u0927\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u092a\u093e\u091a\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0924\u0925\u093e \u0928\u093f\u0915\u0932\u0947 \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0915\u094b 60 mL M/10, H\u2082SO\u2084 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0905\u0935\u0936\u094b\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u094b \u0909\u0926\u093e\u0938\u0940\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 20 mL, M/10, NaOH \u0932\u0917\u093e\u092f\u093e\u0964 \u0907\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0939\u0948 :",
"options": [
"3",
@@ -4149,6 +4367,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0927\u094d\u0930\u0941\u0935\u0923 \u0905\u0915\u094d\u0930\u093f\u092f \u092f\u094c\u0917\u093f\u0915 \u0939\u0948 :",
"options": [
"2 - \u0915\u094d\u0932\u094b\u0930\u094b\u092a\u094d\u0930\u094b\u092a\u0947\u0928\u0932",
@@ -4168,6 +4387,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0914\u0930 \u0924\u0930\u094d\u0915 \u0915\u094b \u0938\u092e\u091d\u0915\u0930 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0935 \u0924\u0930\u094d\u0915 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0914\u0930 \u0924\u0930\u094d\u0915 \u0906\u0935\u093f\u0915\u0932\u094d\u092a\u0928 \u0915\u093e \u0938\u0939\u0940 \u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923 \u0939\u0948\u0964",
@@ -4187,6 +4407,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u092e\u0940\u0925\u0947\u0928 \u0924\u0925\u093e \u090f\u0925\u0947\u0928 \u0915\u0947 \u0915\u092b\u0928\u0940\u0915\u0930\u0923 \u090a\u0937\u094d\u092e\u093e \u0915\u094d\u0930\u092e\u0936\u0903 360 kJ/mol \u0924\u0925\u093e 620 kJ/mol \u0939\u0948\u0964 C - C \u092c\u0902\u0927 \u0915\u094b \u0924\u094b\u0921\u093c\u0928\u0947 \u0915\u0940 \u0915\u094d\u0937\u092e\u0924\u093e \u0930\u0916\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0926\u0940\u0930\u094d\u0918\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u094b\u0917\u0940 (\u0905\u0935\u094b\u0917\u093e\u0926\u094d\u0930\u094b \u0938\u0902\u0916\u094d\u092f\u093e = 6.02 x 10^23, h = 6.62 x 10^-34 J s) :",
"options": [
"1.49 x 10^3 nm",
@@ -4206,6 +4427,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "20\u00b0C \u092a\u0930 \u090f\u0915 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 1.5 \u092e\u094b\u0932 \u092c\u0947\u0902\u091c\u0940\u0928 \u0914\u0930 3.5 \u092e\u094b\u0932 \u091f\u094b\u0932\u094d\u092f\u0942\u0928 \u0939\u0948\u0902\u0964 \u0905\u0917\u0930 \u0907\u0938 \u0924\u093e\u092a \u092a\u0930 \u0936\u0941\u0926\u094d\u0927 \u092c\u0947\u0902\u091c\u0940\u0928 \u0914\u0930 \u0936\u0941\u0926\u094d\u0927 \u091f\u094b\u0932\u094d\u092f\u0942\u0928 \u0915\u0947 \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c \u0915\u094d\u0930\u092e\u0936\u0903 74.7 torr \u0914\u0930 22.3 torr \u0939\u0948\u0902, \u0924\u092c \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0915\u0941\u0932 \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c \u0914\u0930 \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u093e \u092e\u094b\u0932 \u0905\u0902\u0936 \u0907\u0938\u0915\u0947 \u0938\u093e\u092e\u094d\u092f \u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948:",
"options": [
"35.0 torr \u0914\u0930 0.480",
@@ -4225,6 +4447,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0915\u093f\u0938\u0940 \u0926\u0942\u0930\u0926\u0930\u094d\u0936\u0915 \u0915\u0947 \u0905\u092d\u093f\u0926\u0943\u0936\u094d\u092f\u0915 \u0924\u0925\u093e \u0928\u0947\u0924\u094d\u0930\u093f\u0915\u093e \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u094d\u0930\u092e\u0936\u0903 150 cm \u0924\u0925\u093e 5 cm \u0939\u0948\u0964 \u092f\u0926\u093f 1 km \u0926\u0942\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u0938\u0940 50 m \u090a\u0901\u091a\u0947 \u091f\u093e\u0935\u0930 (\u092e\u0940\u0928\u093e\u0930) \u0915\u094b, \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u092e\u0947\u0902, \u0926\u0942\u0930\u0926\u0930\u094d\u0936\u0915 \u0938\u0947 \u0926\u0947\u0916\u0928\u0947 \u092a\u0930, \u091f\u093e\u0935\u0930 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0928\u093e\u092f\u093e \u0917\u092f\u093e \u0915\u094b\u0923, \u03b8 \u0939\u094b \u0924\u094b, \u03b8 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e \u0932\u0917\u092d\u0917 :",
"options": [
"1\u00b0",
@@ -4244,6 +4467,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "50 V \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0924\u094d\u0935\u0930\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0926\u0947-\u092c\u094d\u0930\u0949\u0917\u094d\u0932\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (|e| = 1.6 \u00d7 10-19 C, me = 9.1 \u00d7 10-31 kg, h = 6.6 \u00d7 10-34 Js)",
"options": [
"0.5 \u00c5",
@@ -4263,6 +4487,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u092e\u093e\u0928 x \u2208 R, x \u2260 -1 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f (1 + x)^{2016} + x(1 + x)^{2015} + x^2(1 + x)^{2014} + ...... + x^{2016} = \u2211_{i = 0}^{2016} a_i x^i \u0939\u0948\u0902, \u0924\u094b a_{17} \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2017! / 17! 2000!",
@@ -4282,6 +4507,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u092e\u093e\u0928 x, y, z \u0910\u0938\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f, x + y + z = 12 \u0924\u0925\u093e x^3y^4z^5 = (0.1) (600)^3 \u0939\u0948, \u0924\u094b x^3 + y^3 + z^3 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"270",
@@ -4301,6 +4527,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 20,
"question": "\u090f\u0915 \u0905\u091c\u094d\u091e\u093e\u0924 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u094b npn \u0905\u0925\u0935\u093e pnp \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u091a\u093e\u0928 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u090f\u0915 pnp \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u093e \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2 \u0909\u0938\u0915\u093e \u092c\u0947\u0938 \u0939\u0948\u0964 \u090f\u0915 \u092e\u0932\u094d\u091f\u0940\u092e\u0940\u091f\u0930 \u0915\u0947 +ve \u0935 -ve \u091f\u0930\u094d\u092e\u093f\u0928\u0932 \u0907\u0938 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 1, 2 \u0935 3 \u0915\u0947 \u092c\u0940\u091a \u0932\u0917\u093e\u0915\u0930 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u092e\u093e\u092a\u0947 \u0917\u092f\u0947\u0964 \u0924\u092c \u0907\u0938 \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0915\u0947 \u0932\u093f\u090f \u0915\u094c\u0928-\u0938\u093e \u0928\u093f\u092f\u092e \u0938\u0939\u0940 \u0939\u0948?",
"options": [
"+ ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 1, \u2013 ve \u0938\u0947 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 2, \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u091c\u094d\u092f\u093e\u0926\u093e\u0964",
@@ -4320,6 +4547,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "35.5 g \u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u094b, \u0938\u093e\u0928\u094d\u0926\u094d\u0930 HCl \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 H2S \u0915\u0940 \u0905\u0927\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u093e\u0928\u0947 \u092a\u0930 \u0906\u0930\u094d\u0938\u0947\u0928\u093f\u0915 \u092a\u0947\u0928\u094d\u091f\u093e\u0938\u0932\u094d\u092b\u093e\u0907\u0921 \u0915\u0940 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u0948 (\u092f\u0926\u093f 100% \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u092e\u093e\u0928\u0947\u0902 \u0924\u094b):",
"options": [
"0.50 \u092e\u094b\u0932",
@@ -4339,6 +4567,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0906\u0935\u0947\u0936-\u0935\u093f\u0924\u0930\u0923 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u093f\u092d\u0935 (\u0935\u094b\u0932\u094d\u091f \u092e\u0947\u0902) \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 :\nV(z) = 30 \u2013 5z\u00b2, |z| \u2264 1m \u092e\u0947\u0902\nV(z) = 35 \u2013 10 |z|, |z| \u2265 1m \u092e\u0947\u0902\nV(z) x \u090f\u0935\u0902 y \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e\u0964 \u092f\u0926\u093f \u092f\u0939 \u0935\u093f\u092d\u0935 \u090f\u0915 \u0928\u093f\u092f\u0924 \u0906\u0935\u0947\u0936 \u0918\u0928\u0924\u094d\u0935 \u03c1\u2080 \u092a\u094d\u0930\u0924\u093f \u0907\u0915\u093e\u0908 \u0906\u092f\u0924\u0928 (\u03b5\u2080 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0938\u0947 \u0924\u0925\u093e \u090f\u0915 \u0926\u093f\u090f \u0939\u0941\u090f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u092b\u0948\u0932\u093e \u0939\u0941\u0906 \u0939\u0948, \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u0948, \u0924\u092c \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u0915\u093e \u091a\u092f\u0928 \u0915\u0930\u0947\u0902 :\n(1) \u03c1\u2080 = 10 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930\n(2) \u03c1\u2080 = 20 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930\n(3) \u03c1\u2080 = 40 \u03b5\u2080 \u0938\u0930\u094d\u0935\u0924\u094d\u0930\n(4) \u03c1\u2080 = 20 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930",
"options": [
"\u03c1\u2080 = 10 \u03b5\u2080 |z| \u2264 1m \u092e\u0947\u0902 \u0924\u0925\u093e \u03c1\u2080 = 0 \u0905\u0928\u094d\u092f\u0924\u094d\u0930",
@@ -4358,6 +4587,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "4 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u0924\u0940\u0928 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930\u094b\u0902 \u0938\u0947 \u0909\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0938\u0902\u092f\u094b\u091c\u0928 \u092c\u0928\u093e\u0928\u093e \u0939\u0948 \u0915\u093f \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0927\u093e\u0930\u093f\u0924\u093e 6 \u03bcF \u0939\u094b \u091c\u093e\u090f\u0964 \u092f\u0939 \u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u092f\u094b\u091c\u0928 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 :\n(1) \u0924\u0940\u0928\u094b\u0902 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(2) \u0926\u094b \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(3) \u0924\u0940\u0928\u094b\u0902 \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902\n(4) \u0926\u094b \u092a\u093e\u0930\u094d\u0936\u094d\u0935\u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0924\u0925\u093e \u0924\u0940\u0938\u0930\u093e \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
"options": [
"\u0924\u0940\u0928\u094b\u0902 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902",
@@ -4377,6 +4607,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 n = 2 \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u0938\u0947 n = 1 \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u090a\u0930\u094d\u091c\u093e \u0938\u094d\u0924\u0930 \u092e\u0947\u0902 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u092b\u094b\u091f\u0949\u0928 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092b\u094b\u091f\u0949\u0928 \u090f\u0915 \u0926\u094d\u0935\u093f-\u0906\u092f\u0928\u0940\u0915\u0943\u0924 \u0932\u093f\u0925\u093f\u092f\u092e \u092a\u0930\u092e\u093e\u0923\u0941 (z = 3) (\u091c\u094b \u0915\u093f \u090a\u0930\u094d\u091c\u093e \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948) \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0915\u0915\u094d\u0937\u0940\u092f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 (orbiting electron) \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0906\u092f\u0928 \u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"2",
@@ -4396,6 +4627,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 41,
"question": "\u092f\u0926\u093f f(x), \u0905\u0902\u0924\u0930\u093e\u0932 (0, \u221e) \u092e\u0947\u0902 \u090f\u0915 \u0910\u0938\u093e \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948 \u0915\u093f f(1) = 1 \u0924\u0925\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 x>0 \u0915\u0947 \u0932\u093f\u090f,\nlim t\u2192x (t^2 f(x) - x^2 f(t)) / (t - x) = 1 \u0939\u0948, \u0924\u094b f(3/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"13/6",
@@ -4415,6 +4647,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 41,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e\u0913\u0902 x/3 + y/4 = 1 \u0924\u0925\u093e x/4 + y/3 = 1 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u091a\u0932 \u0930\u0947\u0916\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0939\u0948 \u0915\u093f \u0935\u0939 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A \u0924\u0925\u093e B, (A\u2260B) \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b AB \u0915\u0947 \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0915\u093e \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"6xy = 7(x + y)",
@@ -4434,6 +4667,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 40,
"question": "\u092f\u0926\u093f \\(2 \\int_{0}^{1} \\tan^{-1} x dx = \\int_{0}^{1} \\cot^{-1} (1 - x + x^2) dx\\), \u0924\u094b \\(\\int_{0}^{1} \\tan^{-1} (1 - x + x^2) dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"log4",
@@ -4453,6 +4687,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 40,
"question": "A = \\(\\{(x, y) | y \\geq x^2 - 5x + 4, x + y \\geq 1, y \\leq 0\\}\\) \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{7}{2}\\)",
@@ -4472,6 +4707,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u090f\u0915 \u0927\u094d\u0935\u0928\u093f-\u0938\u093f\u0917\u094d\u0928\u0932 \u0926\u094b \u0938\u094d\u092a\u0937\u094d\u091f \u0938\u093f\u0917\u094d\u0928\u0932\u094b\u0902 \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0939\u0948\u0964 \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u092e\u0928\u0941\u0937\u094d\u092f \u0926\u094d\u0935\u093e\u0930\u093e \u092d\u093e\u0937\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0939\u0948 \u091c\u094b 200 Hz \u0938\u0947 2700 Hz \u0915\u0947 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0905\u0902\u0924\u0930\u093e\u0932 \u0915\u093e \u0939\u0948, \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u093e \u0938\u093f\u0917\u094d\u0928\u0932 10200 Hz \u0938\u0947 15200 Hz \u0924\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0935\u093e\u0932\u0947 \u0938\u0902\u0917\u0940\u0924 \u0915\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0917\u094d\u0928\u0932\u094b\u0902 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 AM \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u092c\u0948\u0902\u0921-\u091a\u094c\u0921\u093c\u093e\u0908 \u0914\u0930 \u0915\u0947\u0935\u0932 \u092e\u0928\u0941\u0937\u094d\u092f \u0926\u094d\u0935\u093e\u0930\u093e \u092d\u093e\u0937\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0947 \u0938\u0902\u091a\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 AM \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u092c\u0948\u0902\u0921-\u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?",
"options": [
"3",
@@ -4491,6 +4727,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "T = 0\u00b0C \u092a\u0930 \u090f\u0915 \u0938\u0930\u0932 \u0932\u094b\u0932\u0915, \u091c\u094b \u0915\u093f m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0917\u094b\u0932\u0947 \u0914\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0930\u0939\u093f\u0924 \u0927\u093e\u0924\u0941 \u0915\u0947 \u0924\u093e\u0930 \u0938\u0947 \u0928\u093f\u0930\u094d\u092e\u093f\u0924 \u0939\u0948, \u0915\u093e \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 2 s \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u093e\u0930 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u094b \u092c\u0922\u093c\u093e\u0928\u0947 \u0938\u0947, \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 \u092e\u0947\u0902 \u0939\u0941\u0908 \u0935\u0943\u0926\u094d\u0927\u093f \u0915\u094b \u0917\u094d\u0930\u093e\u092b \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u092f\u0947, \u0924\u094b \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u0917\u094d\u0930\u093e\u092b \u0915\u0940 \u0922\u093e\u0932-\u092e\u093e\u0928 (slope) S \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u093e\u0930 \u0915\u093e \u0930\u0947\u0916\u0940\u092f-\u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948 \u0924\u094b S \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u03b1",
@@ -4510,6 +4747,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 \u090f\u0915 \u092e\u094b\u0932 \u0917\u0948\u0938 \u0915\u093e \u0938\u0902\u092a\u0940\u0921\u094d\u092f\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{pb}{RT}\\)",
@@ -4529,6 +4767,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u092e\u0941\u0916\u094d\u092f \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0905\u0902\u0915 5 \u0938\u0947 \u091c\u0941\u0921\u093c\u0947 \u0939\u0941\u090f \u0915\u0915\u094d\u0937\u0915\u094b\u0902 (\u0911\u0930\u094d\u092c\u093f\u091f\u0932\u094d\u0938) \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"5",
@@ -4548,6 +4787,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u0905\u0902\u0924\u0930\u093e\u0905\u0923\u093f\u0915 \u092c\u0932 \u091c\u0940\u0928\u0928 \u0915\u0947 \u0926\u094d\u0930\u0935\u0940\u0915\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0909\u0924\u094d\u0924\u0930\u0926\u093e\u092f\u0940 \u0939\u0948 ?",
"options": [
"\u0921\u093f\u092a\u094b\u0932 - \u0921\u093f\u092a\u094b\u0932",
@@ -4567,6 +4807,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u092a\u0930 \u0926\u094b \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930, \u091c\u094b \u0906\u092a\u0938 \u092e\u0947\u0902 75\u00b0 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u090f\u0915 \u0938\u093e\u0925 \u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u092f\u0939 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0938\u0902\u0924\u0941\u0932\u0928 \u0915\u0940 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 15 mT \u0915\u0947 \u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 30\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u092a\u094d\u0930\u0947\u0930\u0923 \u0915\u093e \u0932\u0917\u092d\u0917 \u092e\u093e\u0928 (mT \u092e\u0947\u0902) \u0939\u094b\u0917\u093e:",
"options": [
"11",
@@ -4586,6 +4827,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "15\u2211r=1 r2 (15Cr / 15Cr-1) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"560",
@@ -4605,6 +4847,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u092f\u0926\u093f lim x\u2192\u221e (1 + a/x - 4/x2)2x = e3 \u0939\u0948, \u0924\u094b 'a' \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
@@ -4624,6 +4867,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 10,
"question": "\u090f\u0915 50 \u03a9 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u090f\u0915 5 V \u0915\u0940 \u092c\u0948\u091f\u0930\u0940 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0941\u0906 \u0939\u0948\u0964 \u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u091c\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948, \u0915\u094b \u090f\u092e\u0940\u091f\u0930\u092e\u093e\u092a\u0940 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 r\u209b \u0938\u0902\u092f\u094b\u091c\u093f\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0938\u0902\u092f\u094b\u091c\u0928 \u092e\u0947\u0902 \u092e\u093e\u092a\u093f\u0924 \u0927\u093e\u0930\u093e \u090f\u092e\u094d\u092a\u0940\u092f\u0930\u092e\u0940\u091f\u0930 \u0915\u094b \u0939\u091f\u093e\u0928\u0947 \u092a\u0930 \u092e\u093e\u092a\u093f\u0924 \u0927\u093e\u0930\u093e \u0915\u0947 \u092e\u093e\u0928 \u0938\u0947 1% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0902\u092f\u094b\u091c\u0928 \u0909\u091a\u093f\u0924 \u0939\u094b\u0917\u093e?",
"options": [
"r\u209b = 0.5 \u03a9 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u092a\u093e\u0930\u0915\u094d\u0930\u092e \u092e\u0947\u0902",
@@ -4643,6 +4887,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "CH\u2083MgBr \u0915\u094b \u092e\u0947\u0925\u0947\u0928\u0949\u0932 \u092e\u0947\u0902 \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u0917\u0948\u0938 \u0939\u0948 :",
"options": [
"HBr",
@@ -4662,6 +4907,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u092c\u0942\u0935\u094b-\u092c\u094d\u0932\u093e\u0902\u0915 \u0930\u093f\u0921\u0915\u094d\u0936\u0928 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948 :",
"options": [
"\u0910\u0938\u093f\u0932 \u0939\u0948\u0932\u093e\u0907\u0921 \u0915\u093e H\u2082/Pd \u0938\u0947 \u0905\u092a\u091a\u092f\u0928\u0964",
@@ -4681,6 +4927,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u092a\u094d\u0930\u093e\u0925\u092e\u093f\u0915, \u0926\u094d\u0935\u093f\u0924\u0940\u092f\u0915 \u0924\u0925\u093e \u0924\u0943\u0924\u0940\u092f\u0915 \u0910\u092e\u0940\u0928\u094b\u0902 \u092e\u0947\u0902 \u0905\u0902\u0924\u0930 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0939\u0948 :",
"options": [
"\u0915\u093e\u0930\u094d\u092c\u093e\u0907\u0932\u0910\u092e\u0940\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e",
@@ -4700,6 +4947,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u092d\u093e\u0930\u0940 \u092a\u093e\u0928\u0940 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 :",
"options": [
"\u092f\u0939 Al4C3 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 CD4 \u0924\u0925\u093e Al(OD)3 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964",
@@ -4719,6 +4967,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092e\u0943\u0926\u093e \u0927\u093e\u0924\u0941 \u0938\u0932\u094d\u092b\u0947\u091f\u094b\u0902 \u0915\u0940 \u091c\u0932 \u092e\u0947\u0902 \u0935\u093f\u0932\u0947\u092f\u0924\u093e \u0915\u093e \u0938\u0939\u0940 \u0915\u094d\u0930\u092e \u0939\u0948 :",
"options": [
"Mg < Ca < Sr < Ba",
@@ -4738,6 +4987,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0915\u0949\u0932\u092e I \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 (items) \u0915\u094b \u0915\u0949\u0932\u092e II \u092e\u0947\u0902 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0909\u092a\u092f\u094b\u0917\u094b\u0902 \u0938\u0947 \u0938\u0941\u092e\u0947\u0932\u093f\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 :",
"options": [
"(A)-(iii), (B)-(i), (C)-(iv), (D)-(ii)",
@@ -4757,6 +5007,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0915\u094c\u0928 \u0938\u093e \u0938\u092e\u0942\u0939 \u0938\u092e\u092e\u093f\u0924 \u0905\u0923\u0941\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948 :",
"options": [
"SF\u2084, XeF\u2084, CCl\u2084",
@@ -4776,6 +5027,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u091c\u0932\u0924\u093e\u092a \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u092f\u0940 \u0938\u094d\u092a\u0940\u0936\u0940\u091c \u0915\u094c\u0928 \u0938\u0940 \u0939\u0948 ?",
"options": [
"Cr\u00b2\u207a",
@@ -4795,6 +5047,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u0902\u0915\u0941\u0932\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0938\u0902\u0915\u0941\u0932 Ag(NO\u2083) \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0905\u0927\u093f\u0915 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0916\u092a\u093e\u092f\u0947\u0917\u093e ?",
"options": [
"Na\u2083[CrCl\u2086]",
@@ -4814,6 +5067,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 31,
"question": "\u0930\u0947\u092f\u0949\u0928 \u090f\u0915 \u0905\u0930\u094d\u0926\u094d\u0927\u0938\u093f\u0902\u0925\u0947\u091f\u093f\u0915 \u092c\u0939\u0941\u0932\u0915 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0915\u092a\u093e\u0938 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0905\u091a\u094d\u091b\u0947 \u0939\u0948\u0902\u0964",
"options": [
"'\u0915\u0925\u0928' \u0935 '\u0915\u093e\u0930\u0923' \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0924\u0925\u093e '\u0915\u093e\u0930\u0923', '\u0915\u0925\u0928' \u0915\u093e \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
@@ -4833,6 +5087,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 46,
"question": "\u092f\u0926\u093f m \u0924\u0925\u093e M, \u0915\u094d\u0930\u092e\u0936\u0903 4 + 1/2 sin^2 2x - 2cos^4 x, x \u2208 R \u0915\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0924\u0925\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b M - m \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"15/4",
@@ -4852,6 +5107,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 46,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0926\u094b \u0915\u0925\u0928\u094b\u0902 \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f :\nP: \u092f\u0926\u093f 7 \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b 7, 2 \u0938\u0947 \u092d\u093e\u091c\u094d\u092f \u0939\u0948\u0964\nQ: \u092f\u0926\u093f 7 \u090f\u0915 \u0905\u092d\u093e\u091c\u094d\u092f \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b 7 \u090f\u0915 \u0935\u093f\u0937\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964\n\u092f\u0926\u093f V1, P \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u093e \u0938\u0924\u094d\u092f\u092e\u093e\u0928 \u0939\u0948 \u0924\u0925\u093e V2, Q \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0915 \u0915\u093e \u0938\u0924\u094d\u092f\u092e\u093e\u0928 \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (V1, V2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(T, T)",
@@ -4871,6 +5127,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 \u0930\u0949\u0915\u0947\u091f \u0915\u094b \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0947 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 2g \u0915\u0947 \u0915\u093e\u0930\u0923 \u0938\u0947 \u092a\u094d\u0930\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938 \u0930\u0949\u0915\u0947\u091f \u0915\u0947 \u0905\u0902\u0926\u0930 \u0938\u094d\u0925\u093f\u0924 \u03b8 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0905\u0928\u093e\u0924\u0932-\u0924\u0932 \u092a\u0930 \u090f\u0915 m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u0915\u092a\u093f \u0930\u0916\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0930\u0949\u0915\u0947\u091f \u0915\u0947 \u092a\u094d\u0930\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u092a\u0930 \u092c\u093f\u0902\u0926\u0941 \u0915\u092a\u093f \u0938\u094d\u0925\u093f\u0930 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0940 \u0930\u0939\u0924\u093e \u0939\u0948 \u0924\u092c \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u090f\u0935\u0902 \u0905\u0928\u093e\u0924\u0932 \u0924\u0932 \u0915\u0947 \u092c\u0940\u091a \u0918\u0930\u094d\u0937\u0923-\u0917\u0941\u0923\u093e\u0902\u0915 \u03bcmin \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ? (g \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u0940\u092f \u0924\u094d\u0935\u0930\u0923 \u0939\u0948) :",
"options": [
"tan\u03b8",
@@ -4890,6 +5147,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 W \u092d\u093e\u0930 \u0915\u0940 \u0915\u093e\u0930 \u090f\u0915 \u0910\u0938\u0940 \u0905\u0928\u093e\u0924\u0932-\u0938\u0921\u093c\u0915 \u092a\u0930 \u091a\u0932 \u0930\u0939\u0940 \u0939\u0948 \u091c\u094b \u0915\u093f 1 km \u0926\u0942\u0930\u0940 \u092a\u0930 100 m \u090a\u0901\u091a\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948, \u0914\u0930 \u0915\u093e\u0930 \u092a\u0930 W/20 \u092e\u093e\u0928 \u0915\u093e \u0928\u093f\u092f\u0924 \u0918\u0930\u094d\u0937\u0923 \u092c\u0932 \u0932\u0917\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u093e\u0930 \u0915\u094b \u0938\u0921\u093c\u0915 \u092a\u0930 \u090a\u092a\u0930 \u0915\u0940 \u0913\u0930 10 ms\u22121 \u0915\u0940 \u0917\u0924\u093f \u0939\u0947\u0924\u0941 P \u0936\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948 \u090f\u0935\u0902 \u0928\u0940\u091a\u0947 \u0915\u0940 \u0913\u0930 v \u0917\u0924\u093f \u0938\u0947 \u091a\u0932\u093e\u0928\u0947 \u0939\u0947\u0924\u0941 P/2 \u0936\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u092a\u0921\u093c\u0924\u0940 \u0939\u0948, \u0924\u094b v \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"20 ms\u22121",
@@ -4909,6 +5167,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 45,
"question": "\u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 1, 1 + d, ..., 1 + 100d \u0915\u0947 \u092e\u093e\u0927\u094d\u092f \u0938\u0947 \u092e\u093e\u0927\u094d\u092f-\u0935\u093f\u091a\u0932\u0928 255 \u0939\u0948, \u0924\u094b d \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"10.1",
@@ -4928,6 +5187,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 45,
"question": "\u092f\u0926\u093f A \u0924\u0925\u093e B \u0926\u094b \u0910\u0938\u0940 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902 \u0915\u093f P(A) = 2/5 \u0924\u0925\u093e P(A\u2229B) = 3/20 \u0939\u0948\u0902, \u0924\u094b \u092a\u094d\u0930\u0924\u093f\u0935\u0930\u094d\u0924\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e P(A|(A'\u222aB')), \u091c\u0939\u093e\u0901 A', A \u0915\u0947 \u092a\u0942\u0930\u0915 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948, \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4",
@@ -4947,6 +5207,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 45,
"question": "x \u2208 [0, 2\u03c0] \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u221a2sin\u2074x+18cos\u00b2x - \u221a2cos\u2074x+18sin\u00b2x =1, \u0939\u0948 :",
"options": [
"2",
@@ -4966,6 +5227,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u092e\u093e\u0907\u0915\u094d\u0930\u094b\u0935\u0947\u0935 \u0913\u0935\u0928 \u0915\u093f\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930 \u0906\u0927\u093e\u0930\u093f\u0924 \u0939\u0948 ?",
"options": [
"\u091c\u0932 \u0905\u0923\u0941\u0913\u0902 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0915\u092e \u090a\u0930\u094d\u091c\u093e \u0938\u0947 \u0905\u0927\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0935\u093e\u0932\u0947 \u0932\u0947\u0935\u0932 \u092e\u0947\u0902 \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092a\u0930\u0964",
@@ -4985,6 +5247,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u092a\u094d\u0930\u0935\u0943\u0924\u094d\u0924\u093f \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 : (\u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u094d\u0930\u092e\u093e\u0902\u0915 = Ti : 22, Cr : 24 \u0924\u0925\u093e Mo : 42)",
"options": [
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0915\u093e \u0394o > [Mo(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [Ti(H\u2082O)\u2086]\u00b3\u207a \u0915\u093e \u0394o > [Ti(H\u2082O)\u2086]\u00b2\u207a",
@@ -5004,6 +5267,7 @@
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u092c\u0940.\u0913.\u0921\u0940. (BOD) \u0926\u0930\u094d\u0936\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\u092c\u093e\u092f\u094b\u0932\u094b\u091c\u093f\u0915\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0921\u093f\u092e\u093e\u0902\u0921",
@@ -5023,6 +5287,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0935\u093f\u0936\u0947\u0937 \u0917\u0941\u0923\u0927\u0930\u094d\u092e \u0939\u0948\u0902 : (i) \u092f\u0939 \u0935\u093e\u0902\u0921\u0930 \u0935\u093e\u0932\u094d\u0938 \u092c\u0932 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e (ii) \u092f\u0939 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0935\u0939 \u0938\u0939\u0940 \u0915\u0925\u0928 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 \u091c\u094b \u0907\u0938 \u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0938\u0939\u0940 \u0935\u0930\u094d\u0923\u0928 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u0905\u0927\u093f\u0936\u094b\u0937\u0923 \u0915\u0940 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 100 kJ mol^\u22121 \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964",
@@ -5042,6 +5307,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u0935\u0939 \u0905\u0927\u093e\u0924\u0941 \u091c\u094b \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u0928\u0939\u0940\u0902 \u0926\u0930\u094d\u0936\u093e\u0924\u0940, \u0939\u094b\u0917\u0940 :",
"options": [
"\u0911\u0915\u094d\u0938\u0940\u091c\u0928",
@@ -5061,6 +5327,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 32,
"question": "\u0935\u0939 \u0915\u0943\u0924\u094d\u0930\u093f\u092e \u092e\u0927\u0941\u0930\u0915 \u091c\u093f\u0938\u0915\u093e \u0936\u0941\u0926\u094d\u0927 \u0936\u0930\u094d\u0915\u0930\u093e \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u092e\u093e\u0927\u0941\u0930\u094d\u092f\u092e\u093e\u0928 \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u0948 :",
"options": [
"\u090f\u0938\u094d\u092a\u093e\u0930\u094d\u091f\u0947\u092e",
@@ -5080,6 +5347,7 @@
"level": "high school",
"category_en": "biology",
"category_original_lang": "\u091c\u0940\u0935\u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 32,
"question": "\u0905\u0902\u0921 \u090f\u0932\u094d\u092c\u0941\u092e\u093f\u0928 \u0915\u093e \u0938\u0949\u0932\u094d\u091f \u092c\u0928\u093e\u0928\u0947 \u0915\u0940 \u0938\u092c\u0938\u0947 \u0909\u091a\u093f\u0924 \u0935\u093f\u0927\u093f \u0939\u0948 :",
"options": [
"\u0905\u0902\u0921\u0947 \u0915\u094b \u0927\u094d\u092f\u093e\u0928\u092a\u0942\u0930\u094d\u0935\u0915 \u0924\u094b\u0921\u093c\u0947\u0902 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092a\u093e\u0930\u0926\u0930\u094d\u0936\u0940 \u092d\u093e\u0917 \u0915\u094b 100 mL 5% w/V \u0932\u0935\u0923 \u091c\u0932 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u0915\u0930 \u0905\u091a\u094d\u091b\u0940 \u0924\u0930\u0939 \u0939\u093f\u0932\u093e\u092f\u0947\u0902\u0964",
@@ -5099,6 +5367,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\ud835\udc65 \u2208 \u211d, \ud835\udc65 \u2260 0, \ud835\udc65 \u2260 1 \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u093e \ud835\udc53\u2080(\ud835\udc65) = 1/(1 \u2212 \ud835\udc65) \u0924\u0925\u093e \ud835\udc53\u2099\u208a\u2081(\ud835\udc65) = \ud835\udc53\u2080(\ud835\udc53\u2099(\ud835\udc65)), \ud835\udc5b = 0, 1, 2, . . . \u0939\u0948, \u0924\u094b \ud835\udc53\u2081\u2080\u2080(3) + \ud835\udc53\u2081(2/3) + \ud835\udc53\u2082(3/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"8/3",
@@ -5118,6 +5387,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u0906\u0930\u094d\u0917and \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 2 + \ud835\udc56 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u092c\u093f\u0902\u0926\u0941, 1 \u0907\u0915\u093e\u0908 \u092a\u0942\u0930\u094d\u0935 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u093e \u0939\u0948 \u0914\u0930 \u092b\u093f\u0930 2 \u0907\u0915\u093e\u0908 \u0909\u0924\u094d\u0924\u0930 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0905\u0902\u0924 \u092e\u0947\u0902 2\u221a2 \u0907\u0915\u093e\u0908 \u0926\u0915\u094d\u0937\u093f\u0923-\u092a\u0936\u094d\u091a\u093f\u092e \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u094b \u0906\u0930\u094d\u0917and \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0907\u0938\u0915\u093e \u0928\u092f\u093e \u0938\u094d\u0925\u093e\u0928 \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"2 + 2\ud835\udc56",
@@ -5137,6 +5407,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 'I' \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0927\u093e\u0930\u093e \u0915\u094b \u090f\u0935\u0902 \u0905\u0928\u094d\u092f \u091a\u093f\u0928\u094d\u0939 \u0905\u092a\u0928\u0947 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0905\u0930\u094d\u0925 \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0935\u093f\u0915\u0932\u094d\u092a \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u0940 \u0938\u0939\u0940 \u0935\u093f\u092e\u093e \u0915\u094b \u092c\u0924\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"ML\u207b\u00b3T\u207b\u00b3I\u00b2",
@@ -5156,6 +5427,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 C, H \u0924\u0925\u093e S \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0907\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 8% \u0938\u0932\u094d\u092b\u0930 \u0939\u094b \u0924\u094b \u0907\u0938\u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0905\u0923\u0941 \u092d\u093e\u0930 \u0939\u094b\u0917\u093e :",
"options": [
"200 g mol\u207b\u00b9",
@@ -5175,6 +5447,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0938\u093e\u0924 \u0915\u093e\u0930\u094d\u092c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0935\u093e\u0932\u093e \u090f\u0915 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u094c\u0928 \u0939\u094b\u0917\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u090f\u0915 \u0928\u093f\u092f\u094b\u092a\u0947\u0928\u094d\u091f\u093e\u0907\u0932 \u0938\u092e\u0942\u0939 \u0924\u0925\u093e \u090f\u0915 \u0935\u093f\u0928\u093e\u0907\u0932 \u0938\u092e\u0942\u0939 \u0939\u094b :",
"options": [
"2, 2-\u0921\u093e\u0908\u092e\u0947\u0925\u093e\u0907\u0932-4-\u092a\u0947\u0928\u094d\u091f\u0940\u0928",
@@ -5194,6 +5467,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u090f\u0915 \u0910\u0932\u094d\u0915\u0947\u0928 \u0915\u0940 5 L \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u0926\u0939\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 25 L \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u092d\u0940 \u0906\u092f\u0924\u0928 \u092e\u093e\u0928\u0915 \u0924\u093e\u092a \u0924\u0925\u093e \u0926\u093e\u092c \u092a\u0930 \u092e\u093e\u092a\u0947 \u0917\u092f\u0947 \u0939\u094b\u0902, \u0924\u094b \u0910\u0932\u094d\u0915\u0947\u0928 \u0939\u094b\u0917\u0940 :",
"options": [
"\u090f\u0925\u0947\u0928",
@@ -5213,6 +5487,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 44,
"question": "\u092c\u093f\u0902\u0926\u0941 (1, -2, 4) \u0915\u0940 \u0909\u0938 \u0938\u092e\u0924\u0932 \u0938\u0947 \u0926\u0942\u0930\u0940, \u091c\u094b \u092c\u093f\u0902\u0926\u0941 (1, 2, 2) \u0938\u0947 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0938\u092e\u0924\u0932\u094b\u0902 x - y + 2z = 3 \u0924\u0925\u093e 2x - 2y + z + 12 = 0 \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0939\u0948, \u0939\u0948 :",
"options": [
"2\u221a2",
@@ -5232,6 +5507,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 44,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC, \u091c\u094b \u0915\u093f \u0936\u0940\u0930\u094d\u0937 A \u092a\u0930 \u0938\u092e\u0915\u094b\u0923 \u0939\u0948, \u092e\u0947\u0902 A, B \u0924\u0925\u093e C \u0915\u0947 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0915\u094d\u0930\u092e\u0936\u0903 3i + j - k, -i + 3j + pk \u0924\u0925\u093e 5i + qj - 4k \u0939\u0948\u0902, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 (p, q) \u091c\u093f\u0938 \u0930\u0947\u0916\u093e \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0935\u0939 :",
"options": [
"x-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0964",
@@ -5251,6 +5527,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "\u0905\u0935\u093f\u0915\u0938\u093f\u0924 L \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0936\u0902\u0915\u0941\u0917\u0941\u0923\u093e \u0924\u093e\u0930 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u094d\u0930\u092e\u0936\u0903 R \u0924\u0925\u093e 3R \u0939\u0948\u0902\u0964 \u0909\u0938\u0915\u0940 \u0927\u093e\u0924\u0941 \u0915\u093e \u092f\u0902\u0917-\u092e\u0949\u0921\u094d\u092f\u0942\u0932\u0938 Y \u0939\u0948\u0964 \u0930\u093f\u0916\u093e \u0935\u093e\u0932\u0947 \u0938\u093f\u0930\u0947 \u0915\u094b \u090f\u0915 \u0926\u0943\u0922\u093c \u0906\u0927\u093e\u0930 \u092a\u0930 \u091c\u0921\u093c\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0947 \u0938\u093f\u0930\u0947 \u092a\u0930 M \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0938\u0902\u0924\u0941\u0932\u0928-\u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0924\u093e\u0930 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0939\u094b\u0917\u0940 :",
"options": [
"\\( L \\left( 1 + \\frac{2}{9} \\frac{Mg}{\\pi YR^2} \\right) \\)",
@@ -5270,6 +5547,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "\u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 G \u092e\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0905\u0930\u094d\u0927-\u0935\u093f\u0915\u094d\u0937\u0947\u092a \u0924\u0930\u0940\u0915\u0947 \u0915\u093e \u0907\u0938\u094d\u0924\u0947\u092e\u093e\u0932 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 \u092c\u0948\u091f\u0930\u0940 \u0915\u0940 emf \\( V_E \\) \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 R \u0915\u0947 \u0932\u093f\u092f\u0947 \u03b8 \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u092e\u093f\u0932\u093e\u0964 \u0936\u0902\u091f-\u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 S \u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u0927\u093e \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u092e\u093f\u0932\u093e\u0964 \u0924\u092c G, R \u0924\u0925\u093e S \u0915\u093f\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902 ?",
"options": [
"\\( 2S (R + G) = RG \\)",
@@ -5289,6 +5567,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u090f\u0915 \u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u093f\u092e\u094d\u0928 \u0924\u093e\u092a \u092a\u0930 \u0905\u0938pontaneous \u0939\u0948 \u0915\u093f\u0928\u094d\u0924\u0941 \u0909\u091a\u094d\u091a \u0924\u093e\u092a \u092a\u0930 \u0938\u094d\u0935\u0924\u0903 \u092a\u094d\u0930\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947:",
"options": [
"\u0394H \u0924\u0925\u093e \u0394S, \u0926\u094b\u0928\u094b\u0902 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0902\u0964",
@@ -5308,6 +5587,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "N2 \u0915\u0940 \u091c\u0932 \u092e\u0947\u0902 \u0935\u093f\u0932\u0947\u092f\u0924\u093e 300 K \u0924\u0925\u093e 500 torr \u0906\u0902\u0936\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 0.01 g L\u22121 \u0939\u0948\u0964 \u0907\u0938\u0915\u0940 \u0935\u093f\u0932\u0947\u092f\u0924\u093e (g L\u22121 \u092e\u0947\u0902) 750 torr \u0906\u0902\u0936\u093f\u0915 \u0926\u093e\u092c \u092a\u0930 \u0939\u094b\u0917\u0940 :",
"options": [
"0.0075",
@@ -5327,6 +5607,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0930\u093e\u0938\u093e\u092f\u0928\u093f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A(g) + B(g) \u2192 C(g) + D(g), \u0915\u0947 \u0932\u093f\u090f 298 K \u092a\u0930 \u0394H\u00b0 \u0924\u0925\u093e \u0394S\u00b0 \u0915\u0947 \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 \u2212 29.8 kJ mol\u22121 and \u2212 0.100 kJ K\u22121 mol\u22121 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e 298 K \u092a\u0930 \u0938\u093e\u092e\u094d\u092f \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"1.0 \u00d7 10\u221210",
@@ -5346,6 +5627,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 x\u00b2 + bx - 1 = 0 \u0924\u0925\u093e x\u00b2 + x + b = 0 \u0915\u093e -1 \u0938\u0947 \u092d\u093f\u0928\u094d\u0928 \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092e\u0942\u0932 \u0939\u0948, \u0924\u094b |b| \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a2",
@@ -5365,6 +5647,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f P = \\(\\begin{bmatrix} \\frac{\\sqrt{3}}{2} & \\frac{1}{2} \\\\ -\\frac{1}{2} & \\frac{\\sqrt{3}}{2} \\end{bmatrix}\\), A = \\(\\begin{bmatrix} 1 & 1 \\\\ 0 & 1 \\end{bmatrix}\\) \u0924\u0925\u093e Q = PAP\u1d40 \u0939\u0948, \u0924\u094b P\u1d40 Q2015 P \u0939\u0948 :",
"options": [
"\\(\\begin{bmatrix} 0 & 2015 \\\\ 0 & 0 \\end{bmatrix}\\)",
@@ -5384,6 +5667,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 43,
"question": "\u092f\u0926\u093f \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \\(\\frac{x^2}{27} + \\frac{y^2}{3} = 1\\) \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A \u0924\u0925\u093e B \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0939\u0948 \u0924\u0925\u093e O \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0924\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c OAB \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{9}{2}\\)",
@@ -5403,6 +5687,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 43,
"question": "\u0930\u0947\u0916\u093e\u0913\u0902 \\(\\frac{x}{2} = \\frac{y}{2} = \\frac{z}{1}\\) \u0924\u0925\u093e \\(\\frac{x + 2}{-1} = \\frac{y - 4}{8} = \\frac{z - 5}{4}\\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940, \u091c\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"[0, 1]",
@@ -5422,6 +5707,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u092f\u0902\u0917 \u0915\u0947 \u0926\u094d\u0935\u093f-\u091b\u093f\u0926\u094d\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, \u091c\u093f\u0938\u092e\u0947\u0902 \u092a\u0930\u094d\u0926\u0947 \u090f\u0935\u0902 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 1.0 m \u0924\u0925\u093e 600 nm \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u0947 \u090f\u0915\u0930\u0902\u0917\u0940 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u091b\u093f\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u0938\u092e\u0940\u092a \u0916\u0921\u093c\u093e \u0939\u0941\u0906 \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0915\u094b \u0926\u0947\u0916 \u0930\u0939\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u091b\u093f\u0926\u094d\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u094b \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0926\u0942\u0930\u0940 d0 \u092a\u0930 \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092a\u0948\u091f\u0930\u094d\u0928 \u0924\u0941\u0930\u0902\u0924 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0906\u0901\u0916 \u0915\u093e \u0915\u094b\u0923\u0940\u092f \u0935\u093f\u092d\u0947\u0926\u0928 1/60 \u0939\u094b, \u0924\u094b d0 \u0915\u093e \u092e\u093e\u0928 \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u093e :",
"options": [
"1 mm",
@@ -5441,6 +5727,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u092a\u093e\u0928\u0940 \u0915\u0947 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u094b \u0928\u0917\u0923\u094d\u092f \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f, 200 g \u092a\u093e\u0928\u0940 \u0915\u094b 40\u00b0C \u0938\u0947 60\u00b0C \u0924\u0915 \u0917\u0930\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0938\u0915\u0940 \u0906\u0902\u0924\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e (\u092a\u093e\u0928\u0940 \u0915\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0924\u093e\u092a = 4184 J/kg/K) :",
"options": [
"8.4 kJ",
@@ -5460,6 +5747,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u0915\u093f\u0938\u0940 \u0938\u092e\u093e\u092d\u093f\u0915 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u090f\u0915\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f\u092f\u0947 \u0917\u090f \u0915\u093e\u0930\u094d\u092f \u0924\u0925\u093e \u0909\u0938\u0947 \u0926\u0940 \u0917\u0908 \u090a\u0937\u094d\u092e\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{3}{5}\\)",
@@ -5479,6 +5767,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092f\u0926\u093f \u092b\u0932\u0928\n\\( f(x) = \\begin{cases} \n-x, & x < 1 \\\\\na + \\cos^{-1}(x + b), & 1 \\leq x \\leq 2 \n\\end{cases} \\)\n\\( x = 1 \\) \u092a\u0930 \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u0939\u0948, \u0924\u094b \\( \\frac{a}{b} \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\( \\frac{\\pi - 2}{2} \\) ",
@@ -5498,6 +5787,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092f\u0926\u093f \u0935\u0915\u094d\u0930 \\( x = 4t^2 + 3, y = 8t^3 - 1, t \\in R \\) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P, 1 \u092e\u093e\u0928\u0915 \u0915\u0947 \u0938\u093e\u0925, \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e, \u0935\u0915\u094d\u0930 \u0915\u094b \u0926\u0941\u092c\u093e\u0930\u093e \u092c\u093f\u0902\u0926\u0941 Q \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b Q \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948\u0902 :",
"options": [
"\\( (t^2 + 3, -t^3 - 1) \\) ",
@@ -5517,6 +5807,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\u0935\u0915\u094d\u0930 y = x\u00b2 - 4 \u0915\u0947 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\u221a19 / 2",
@@ -5536,6 +5827,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\u092f\u0926\u093f \u222b (dx / cos\u00b3x \u221a2 sin2x) = (tanx)\u1d2c + C(tanx)\u1d2e + k \u0939\u0948, \u091c\u0939\u093e\u0901 k \u0938\u092e\u093e\u0915\u0932\u0928 \u0938\u094d\u0925\u093f\u0930 \u0939\u0948, \u0924\u094b A + B + C \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"21 / 5",
@@ -5555,6 +5847,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0926\u094b \u0915\u0923 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u0940\u092f \u092a\u0925 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u090f\u0915 \u0939\u0940 \u092e\u093e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0906\u0938\u092a\u093e\u0938 \u0907\u0938 \u0924\u0930\u0939 \u0938\u0947 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u092e\u093e\u0928 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948\u0902 \u0915\u093f \u0909\u0928\u0915\u0947 \u0906\u092f\u093e\u092e (A) \u0924\u0925\u093e \u0906\u0935\u0930\u094d\u0924-\u0915\u093e\u0932 (T) \u090f\u0915 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f t = 0 \u0938\u092e\u092f \u092a\u0930 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u0940 \u0924\u0930\u092b \u0906\u0924\u0947 \u0939\u0941\u090f, \u090f\u0915 \u0915\u0923 \u0915\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 A \u0939\u0948 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0947 \u0915\u0923 \u0915\u093e \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 -A/2 \u0939\u094b, \u0924\u094b t \u0938\u092e\u092f \u092a\u0930 \u0935\u0947 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 t \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"T/6",
@@ -5574,6 +5867,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0926\u094b \u0930\u0947\u0932-\u0907\u0902\u091c\u0928 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u092a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 30 m/s \u0915\u0940 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0917\u0924\u093f \u0938\u0947 \u091a\u0932 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u090f\u0915 \u0907\u0902\u091c\u0928 \u092f\u0926\u093f 540 Hz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u0938\u0940\u091f\u0940 \u092c\u091c\u093e \u0930\u0939\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u0907\u0902\u091c\u0928 \u0915\u0947 \u0921\u094d\u0930\u093e\u0907\u0935\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0941\u0928\u0940 \u0917\u0908 \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 (\u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u092e\u093e\u0928 330 m/sec \u0932\u0947\u0902) :",
"options": [
"450 Hz",
@@ -5593,6 +5887,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u091c\u092c \u03bb\u2081 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u090f\u0915 \u0935\u093f\u0932\u0917\u093f\u0924 \u0917\u094b\u0932\u0947 \u0915\u094b \u092a\u094d\u0930\u0926\u0940\u092a\u094d\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0917\u0924 '\u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935' \u0915\u093e \u092e\u093e\u0928 V \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u03bb\u2082 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u0909\u092a\u092f\u094b\u0917 \u092e\u0947\u0902 \u0932\u093e\u092f\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b \u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0924\u093f\u0917\u0941\u0928\u093e (3V) \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0905\u0917\u0930 \u03bb\u2083 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u092b\u094b\u091f\u0949\u0928 \u0938\u0947 \u0917\u094b\u0932\u0947 \u0915\u094b \u092a\u094d\u0930\u0926\u0940\u092a\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0928\u093f\u0930\u094b\u0927\u0940-\u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"hc/e [1/\u03bb\u2083 - 1/\u03bb\u2082 - 1/\u03bb\u2081]",
@@ -5612,6 +5907,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 42,
"question": "\u092c\u093f\u0902\u0926\u0941 (2, 1) \u0915\u094b \u0930\u0947\u0916\u093e L : x - y = 4 \u0915\u0947 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930, 2\u221a3 \u0907\u0915\u093e\u0908 \u0938\u094d\u0925\u093e\u0928\u093e\u0902\u0924\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f \u0928\u092f\u093e \u092c\u093f\u0902\u0926\u0941 Q \u0924\u0940\u0938\u0930\u0947 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 Q \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0924\u0925\u093e L \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"x + y = 2 - \u221a6",
@@ -5631,6 +5927,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 42,
"question": "\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092c\u093f\u0902\u0926\u0941 (\u22122, 4) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e y-\u0905\u0915\u094d\u0937 \u0915\u094b (0, 2) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u090f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0907\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0935\u094d\u092f\u093e\u0938 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 ?",
"options": [
"4x + 5y \u2212 6 = 0",
@@ -5650,6 +5947,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 42,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f a \u0924\u0925\u093e b \u0915\u094d\u0930\u092e\u0936\u0903 \u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u091c\u093f\u0938\u0915\u0940 \u0905\u0930\u094d\u0927\u0935\u094d\u092f\u093e\u0938\u0940\u092f \u0938\u092e\u0940\u0915\u0930\u0923 9x\u00b2 \u2212 18e + 5 = 0 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0940 \u0939\u0948, \u0915\u0947 \u0905\u0930\u094d\u0927-\u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0924\u0925\u093e \u0905\u0930\u094d\u0927-\u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0905\u0915\u094d\u0937 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f S(5, 0) \u0907\u0938 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u090f\u0915 \u0928\u093e\u092d\u093f \u0924\u0925\u093e 5x = 9 \u0938\u0902\u0917\u0924 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093f\u0915\u093e (directrix) \u0939\u0948, \u0924\u094b a\u00b2 \u2212 b\u00b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"7",
@@ -5669,6 +5967,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u0938\u092e\u0940\u0915\u0931\u0923 \\(\\begin{vmatrix} \\cos x & \\sin x & \\sin x \\\\ \\sin x & \\cos x & \\sin x \\\\ \\sin x & \\sin x & \\cos x \\end{vmatrix} = 0\\) \u0915\u0947 \u0905\u0902\u0924\u0930\u093e\u0932 \\(\\left[ -\\frac{\\pi}{4}, \\frac{\\pi}{4} \\right]\\) \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u0947 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u0942\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"4",
@@ -5688,6 +5987,7 @@
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
+ "page_num": 35,
"question": "\u0936\u092c\u094d\u0926 \"MEDITERRANEAN\" \u0915\u0947 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0938\u0947 \u091a\u093e\u0930 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u0947 \u0910\u0938\u0947 \u0936\u092c\u094d\u0926 (\u091a\u093e\u0939\u0947 \u0905\u0930\u094d\u0925\u0939\u0940\u0928 \u0939\u094b\u0902) \u092c\u0928\u093e\u0928\u0947 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u093e \u092a\u0939\u0932\u093e \u0905\u0915\u094d\u0937\u0930 R \u0924\u0925\u093e \u091a\u094c\u0925\u093e \u0905\u0915\u094d\u0937\u0930 E \u0939\u094b, \u0924\u094b \u0910\u0938\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{11!}{(2!)^3}\\)",
@@ -5707,6 +6007,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u092f\u0926\u093f \u0915\u0949\u092a\u0930 \u0915\u0947 \u090f\u0915 \u092c\u094d\u0932\u0949\u0915 (block) \u0915\u094b \u090f\u0915 \u092c\u0940\u0915\u0930 \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u092f\u0947 \u091c\u093f\u0938\u092e\u0947\u0902 1M ZnSO\u2084 \u0915\u093e \u0935\u093f\u0932\u092f\u0928 \u0939\u094b \u0924\u094b \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"\u0915\u0949\u092a\u0930 \u0927\u093e\u0924\u0941 \u0918\u0941\u0932 \u091c\u093e\u092f\u0947\u0917\u0940 \u0924\u0925\u093e \u091c\u093f\u0902\u0915 \u0927\u093e\u0924\u0941 \u0928\u093f\u0915\u094d\u0937\u093f\u092a\u094d\u0924 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940\u0964",
@@ -5726,6 +6027,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u0915\u094d\u0932\u094b\u0930\u0940\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, \u0913\u091c\u093c\u094b\u0928 \u0915\u0940 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0938\u0947 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0926\u094d\u0935\u093f\u092a\u0926 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0939\u094b\u0924\u0940 \u0939\u0948 :\nO\u2083(g) + Cl\u207b(g) \u2192 O\u2082(g) + ClO\u207b(g) \u2014\u2014 (i)\nk\u2081 = 5.2 \u00d7 10\u2079 L mol\u207b\u00b9 s\u207b\u00b9\nClO\u207b(g) + O\u207b(g) \u2192 O\u2082(g) + Cl\u207b(g) \u2014\u2014 (ii)\nk\u2082 = 2.6 \u00d7 10\u00b9\u2070 L mol\u207b\u00b9 s\u207b\u00b9\n\u0915\u0941\u0932 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e O\u2083(g) + O\u207b(g) \u2192 2 O\u2082(g) \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u0935\u0947\u0917 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"5.2 \u00d7 10\u2079 L mol\u207b\u00b9 s\u207b\u00b9",
@@ -5745,6 +6047,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 19,
"question": "\u090f\u0915 \u091c\u0940\u0928\u0930 \u0921\u093e\u092f\u094b\u0921 \u0915\u093e \u0905\u092d\u093f\u0932\u093e\u0915\u094d\u0937\u0923\u093f\u0915 I - V \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u091c\u093f\u0938\u092e\u0947\u0902 R = 100 \u03a9 \u0915\u093e \u092a\u094d\u0930\u094b\u091f\u0947\u0915\u094d\u091f\u093f\u0935 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0914\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u092a\u093e\u0935\u0930 1 W \u0926\u0940 \u0917\u0908\u0964 \u0924\u092c \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u0947 \u0917\u092f\u0947 DC \u0938\u094d\u0930\u094b\u0924 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0939\u0948 :",
"options": [
"0 - 5 V",
@@ -5764,6 +6067,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 34,
"question": "\u0915\u093f\u0938\u0940 \u090f\u0930\u094b\u092e\u0948\u091f\u093f\u0915 \u0935\u0932\u092f \u0915\u093e \u092b\u094d\u0932\u0941\u0913\u0930\u0940\u0915\u0930\u0923 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u0938\u0902\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u093e \u0939\u0948 \u092f\u0926\u093f \u0909\u0938\u0915\u0947 \u0921\u093e\u092f\u095b\u094b\u0928\u093f\u092f\u092e \u0932\u0935\u0923 \u0915\u094b HBF\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0909\u092a\u091a\u093e\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u090f\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u092a\u0930\u093f\u0938\u094d\u0925\u093f\u0924\u093f \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0939\u0948 ?",
"options": [
"\u0915\u0947\u0935\u0932 \u0909\u0937\u094d\u092e\u093e",
@@ -5783,6 +6087,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 34,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u0939\u0941\u0932\u0915 \u092e\u0941\u0915\u094d\u0924 \u092e\u0942\u0932\u0915 \u092c\u0939\u0941\u0932\u0915\u0940\u0915\u0930\u0923 \u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"\u091f\u0947\u092b\u094d\u0932\u0949\u0928",
@@ -5802,6 +6107,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "\u0917\u0924\u093f 'v' \u0938\u0947 \u091a\u0932\u0924\u093e \u0939\u0941\u0906 \u090f\u0915 \u0928\u094d\u092f\u0942\u091f\u094d\u0930\u0949\u0928 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941, \u091c\u094b \u0905\u092a\u0928\u0940 \u0906\u0927\u093e\u0930-\u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0938\u0947 \u0938\u092e\u094d\u092e\u0941\u0916 \u091f\u0915\u094d\u0915\u0930 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u094d\u092f\u0942\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0935\u0939 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u092c\u0924\u093e\u0907\u090f \u091c\u093f\u0938 \u0915\u0947 \u0939\u094b\u0928\u0947 \u092a\u0930 \u092f\u0939 \u091f\u0915\u094d\u0915\u0930 \u0905\u092f\u0925\u093e\u0930\u094d\u0925\u094d\u092f \u0939\u094b\u0917\u0940 :",
"options": [
"10.2 eV",
@@ -5821,6 +6127,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 2,
"question": "\u0915\u0902\u0915\u094d\u0930\u0940\u091f \u092e\u093f\u0915\u094d\u0938\u0930 \u092c\u0928\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0940\u092e\u0947\u0902\u091f, \u0930\u0947\u0924 \u0924\u0925\u093e \u0930\u094b\u0921\u093c\u0940 \u0915\u094b \u090f\u0915 \u0918\u0942\u0930\u094d\u0923\u0928 \u092c\u0947\u0932\u0928\u093e\u0915\u093e\u0930 \u0921\u094d\u0930\u092e \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u0915\u0940 \u0918\u0942\u0930\u094d\u0923\u0928-\u0917\u0924\u093f \u0924\u0947\u091c \u0939\u094b \u0924\u094b \u092f\u0947 \u0938\u0902\u0915\u0930\u0947\u0921 \u0907\u0938 \u0915\u0940 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u091a\u093f\u092a\u0915\u0947 \u0930\u0939\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092e\u093f\u0915\u094d\u0938\u0930 \u0920\u0940\u0915 \u0938\u0947 \u0928\u0939\u0940\u0902 \u092c\u0928\u0924\u093e\u0964 \u092f\u0926\u093f \u0907\u0938 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 1.25 m \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0940 \u0927\u0941\u0930\u0940 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0939\u0948, \u0924\u092c \u0905\u091a\u094d\u091b\u0947 \u0924\u0930\u0939 \u092e\u093f\u0915\u094d\u0938\u0930 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u0930\u0942\u0930\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0918\u0942\u0930\u094d\u0923\u0928-\u0917\u0924\u093f rpm \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"0.4",
@@ -5840,6 +6147,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092f\u0926\u093f \\(\\frac{n+2}{n-2}C_6 = 11\\), \u0939\u0948, \u0924\u094b \\(n\\) \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948?",
"options": [
"\\(n^2 + 3n - 108 = 0\\)",
@@ -5859,6 +6167,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092f\u0926\u093f \\((x^3 + \\frac{1}{2x^3})^{18}\\), \\((x > 0)\\) \u0915\u0947 \u092a\u094d\u0930\u0938\u093e\u0930 \u092e\u0947\u0902 \\(x^{-2}\\) \u0924\u0925\u093e \\(x^{-4}\\) \u0915\u0947 \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 \\(m\\) \u0924\u0925\u093e \\(n\\) \u0939\u0948\u0902, \u0924\u094b \\(\\frac{m}{n}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"182",
@@ -5878,6 +6187,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092e\u093e\u0928\u094b \\(a_1, a_2, a_3, ......, a_{n_r}, .....\\) \u090f\u0915 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \\(a_3 + a_7 + a_{11} + a_{15} = 72\\) \u0939\u0948, \u0924\u094b \u0909\u0938\u0915\u0947 \u092a\u094d\u0930\u0925\u092e 17 \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"306",
@@ -5897,6 +6207,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "'r' \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u0947 \u0927\u093e\u0924\u0941 \u0935\u0943\u0924\u0940\u092f-\u0924\u093e\u0930-\u0932\u0942\u092a \u0915\u093e \u092a\u0943\u0937\u094d\u0920, B = B0e^(-t/\u03c4) \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0926\u0932\u0924\u0947 \u0939\u0941\u090f \u091a\u0941\u0902\u092c\u0915\u0940\u092f-\u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u0947 \u0932\u092e\u094d\u092c\u0935\u0924 \u0930\u0916\u093e \u0939\u0948\u0964 \u091c\u0939\u093e\u0901 \u0938\u092e\u092f t = 0 \u092a\u0930 B0 \u0924\u0925\u093e \u03c4 \u0905\u091a\u0930 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0932\u0942\u092a \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 R \u0939\u0948, \u0924\u092c \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0932\u092e\u094d\u092c\u0947 \u0938\u092e\u092f (t \u2192 \u221e) \u0917\u0941\u091c\u0930\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u0909\u0938 \u0932\u0942\u092a \u092e\u0947\u0902 \u092a\u0948\u0926\u093e \u0939\u0941\u0908 \u090a\u0930\u094d\u091c\u093e \u0939\u0948 :",
"options": [
"\u03c0^2r^4B0^4 / 2\u03c4R",
@@ -5916,6 +6227,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 43,
"question": "\u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 \\(\\frac{dy}{dx} + \\frac{y}{2} \\sec x = \\frac{\\tan x}{2y}\\) \u091c\u0939\u093e\u0901 \\(0 \\leq x < \\frac{\\pi}{2}\\) \u0939\u0948 \u0924\u0925\u093e \\(y(0) = 1\\) \u0939\u0948, \u0915\u093e \u0939\u0932 \u0939\u0948 :",
"options": [
"\\(y = 1 - \\frac{x}{\\sec x + \\tan x}\\)",
@@ -5935,6 +6247,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 43,
"question": "\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u090f\u0915 \u0915\u093f\u0930\u0923 \u090f\u0915 \u0930\u0947\u0916\u093e \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948 \u091c\u094b \u090f\u0915 \u0905\u0928\u094d\u092f \u0930\u0947\u0916\u093e \\(7x - y + 1 = 0\\) \u0915\u094b \u092c\u093f\u0902\u0926\u0941 \\((0, 1)\\) \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u0915\u093f\u0930\u0923 \u092b\u093f\u0930 \u0907\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0930\u0947\u0916\u093e \\(y + 2x = 1\\) \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u094b \u0906\u092a\u0924\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0915\u093f\u0930\u0923 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"\\(41x - 38y + 38 = 0\\)",
@@ -5954,6 +6267,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 42,
"question": "\u0938\u092e\u093e\u0915\u0932\u0928 4 \u0938\u0947 10 \u0924\u0915 [x^2] / (x^2 - 28x + 196) + [x^2] dx, \u091c\u0939\u093e\u0901 [x], x \u0938\u0947 \u0915\u092e \u092f\u093e x \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u092e\u0939\u0924\u094d\u0924\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948, \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"6",
@@ -5973,6 +6287,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 42,
"question": "x \u03b5 R, x \u2260 0, \u0915\u0947 \u0932\u093f\u090f, \u092f\u0926\u093f y(x) \u090f\u0915 \u0910\u0938\u093e \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u092b\u0932\u0928 \u0939\u0948 \u0915\u093f x \u0938\u0947 1 \u0924\u0915 y(t) dt = (x + 1) \u0938\u0947 x \u0924\u0915 t y(t) dt, \u0924\u094b y(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0905\u091a\u0930 \u0939\u0948)",
"options": [
"C/x e^(-1/x)",
@@ -5992,6 +6307,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0936\u0942\u0928\u094d\u092f \u092e\u0947\u0902 \u091a\u0932 \u0930\u0939\u0940 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0938\u0939\u0940 \u0935\u093f\u0915\u0932\u094d\u092a \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"+x \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u093f\u0924 \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f",
@@ -6010,6 +6326,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\u092f\u094b\u0917\u092b\u0932 \\(\\sum_{r=1}^{10} (r^2 + 1) \\times (r!)\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(11!)
",
@@ -6029,6 +6346,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\\(\\lim_{{x \\to 0}} \\frac{(1 - \\cos 2x)^2}{2x \\tan x - x \\tan 2x}\\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2
",
@@ -6048,6 +6366,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 19,
"question": "C_m(t) = 30 sin 300\u03c0t + 10 (cos 200\u03c0t - cos 400\u03c0t) \u090f\u0915 \u092e\u093e\u0921\u094d\u092f\u0941\u0932\u093f\u0924 \u0938\u093f\u0917\u094d\u0928\u0932 \u0915\u0940 \u0926\u094d\u092f\u094b\u0924\u0915 \u0939\u0948\u0964 \u0924\u092c \u0935\u093e\u0939\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f f_c, \u0938\u0902\u0926\u0947\u0936 \u0906\u0935\u0943\u0924\u094d\u0924\u093f f_m \u0924\u0925\u093e \u092e\u093e\u0921\u094d\u092f\u0941\u0932\u0928 \u0907\u0902\u0921\u0947\u0915\u094d\u0938 \u03bc \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"f_c = 200 Hz ; f_m = 50 Hz ; \u03bc = 1/2",
@@ -6067,6 +6386,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 19,
"question": "m \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u0915\u0923 \u092a\u0930 F \u092c\u0932 \u0932\u0917 \u0930\u0939\u093e \u0939\u0948, \u0914\u0930 \u0909\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 \u0906\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u0948 F = R/t^2 v(t) \u0907\u0938 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0915\u0947 \u0938\u0924\u094d\u092f\u093e\u092a\u0928 \u0915\u0947 \u0932\u093f\u090f \u0936\u0942\u0928\u094d\u092f \u0905\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u0915\u0923 \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 (Observation) \u0915\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0917\u094d\u0930\u093e\u092b \u0938\u0930\u094d\u0935\u094b\u0924\u094d\u0924\u092e \u0939\u094b\u0917\u093e?",
"options": [
"t^2 \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 v(t)",
@@ -6086,6 +6406,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "0.1N \u0926\u094d\u0935\u093f\u0915\u094d\u0937\u093e\u0930\u0915 \u0905\u092e\u094d\u0932 \u0915\u093e \u0906\u0935\u0930\u094d\u0924\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e \u091c\u094b 1 \u0917\u094d\u0930\u093e\u092e \u0915\u094d\u0937\u093e\u0930\u0915 \u091c\u093f\u0938\u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 0.04 \u092e\u094b\u0932 OH\u207b \u0939\u0948 \u0915\u094b \u0909\u0926\u093e\u0938\u0940\u0928 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 ?",
"options": [
"200 mL",
@@ -6105,6 +6426,7 @@
"level": "high school",
"category_en": "pharmacy",
"category_original_lang": "\u092b\u093e\u0930\u094d\u092e\u0947\u0938\u0940",
+ "page_num": 35,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u092c\u0948\u0915\u094d\u091f\u0940\u0930\u093f\u092f\u093e\u0928\u093e\u0936\u0940 \u092a\u094d\u0930\u0924\u093f\u091c\u0948\u0935\u093f\u0915 \u0939\u0948 ?",
"options": [
"\u090f\u0930\u093f\u0925\u094d\u0930\u094b\u092e\u093e\u0907\u0938\u093f\u0928",
@@ -6124,6 +6446,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 35,
"question": "\u0930\u0942\u092e\u0928\u094d\u0928 \u0915\u093e \u0928\u0940\u0932 \u0932\u094b\u0939\u093f\u0924 (\u092a\u0930\u094d\u092a\u0932) \u0915\u093e \u092a\u094d\u0930\u0915\u091f \u0939\u094b\u0928\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u093e \u0938\u0941\u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0939\u0948 ?",
"options": [
"\u0905\u092a\u091a\u093e\u092f\u0915 \u0936\u0930\u094d\u0915\u0930\u093e",
@@ -6143,6 +6466,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092e\u093e\u0928 P = {\u03b8 : sin\u03b8 - cos\u03b8 = \u221a2 cos\u03b8} \u0924\u0925\u093e Q = {\u03b8 : sin\u03b8 + cos\u03b8 = \u221a2 sin\u03b8} \u0926\u094b \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"P \u2282 Q \u0924\u0925\u093e Q - P \u2260 \u03c6",
@@ -6162,6 +6486,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u0915\u0948\u0932\u094d\u0938\u093f\u092f\u092e \u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u093e \u0935\u094d\u092f\u093e\u0935\u0938\u093e\u092f\u093f\u0915 \u0928\u093e\u092e \u0939\u0948 :",
"options": [
"\u092e\u093f\u0932\u094d\u0915 \u0911\u092b \u0932\u093e\u0907\u092e",
@@ -6181,6 +6506,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u0915\u0925\u0928 : \u0915\u093e\u0930\u094d\u092c\u0928 \u0915\u0947 \u0905\u092a\u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902, \u0921\u093e\u092f\u092e\u0902\u0921 \u0915\u0941\u091a\u093e\u0932\u0915 \u0939\u0948 \u091c\u092c \u0915\u093f \u0917\u094d\u0930\u0947\u092b\u093e\u0907\u091f \u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0938\u0941\u091a\u093e\u0932\u0915 \u0939\u0948\u0964",
"options": [
"\u0915\u0925\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0926\u094b\u0928\u094b\u0902 \u0938\u0939\u0940 \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u093e\u0930\u0923 \u0915\u0925\u0928 \u0915\u0940 \u0938\u0939\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0939\u0948\u0964",
@@ -6200,6 +6526,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 28,
"question": "\u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u090f :",
"options": [
"\u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0940 \u0924\u0930\u0939 S\u2082 \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u0948\u0964",
@@ -6219,6 +6546,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 45,
"question": "\u090f\u0915 \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f, \u091c\u093f\u0938\u0915\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0905\u0915\u094d\u0937 \u0936\u093e\u0902\u0915\u0935 \\( \\frac{x^2}{3} + \\frac{y^2}{4} = 4 \\) \u0915\u0947 \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0907\u0938 \u0936\u093e\u0902\u0915\u0935 \u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u092a\u0930 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0905\u0924\u093f\u092a\u0930\u0935\u0932\u092f \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\( \\frac{3}{2} \\) \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0907\u0938 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"(0, 2)",
@@ -6238,6 +6566,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 45,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 A(2, 3, 5), B(-1, 3, 2) \u0924\u0925\u093e C(A, 5, \u03bc) \u0939\u0948\u0902\u0964 \u092f\u0926\u093f A \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u092e\u093e\u0927\u094d\u092f\u093f\u0915\u093e \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u092a\u0930 \u0938\u092e\u093e\u0928 \u0930\u0942\u092a \u0938\u0947 \u091d\u0941\u0915\u0940 \u0939\u0948, \u0924\u094b \\( \\lambda^3 + \\mu^3 + 5 \\) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1130",
@@ -6257,6 +6586,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0907\u0902\u091c\u0928 \u0915\u093e \u092a\u093f\u0938\u094d\u091f\u0928 7 cm \u0906\u092f\u093e\u092e \u0915\u0940 \u0938\u0930\u0932-\u0906\u0935\u0930\u094d\u0924-\u0917\u0924\u093f \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0947\u0902 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u090a\u092a\u0930 \u090f\u0915 \u0935\u093e\u0936\u0930 \u0930\u0916\u093e \u0939\u0948 \u091c\u094b \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u0938\u093e\u0925 \u091a\u0932\u0924\u093e \u0939\u0948\u0964 \u092e\u094b\u091f\u0930 \u0915\u0940 \u0917\u0924\u093f \u0927\u0940\u0930\u0947-\u0927\u0940\u0930\u0947 \u092c\u0922\u093c\u093e\u0908 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0935\u0939 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u091c\u093f\u0938 \u092a\u0930 \u0935\u093e\u0936\u0930 \u092a\u093f\u0938\u094d\u091f\u0928 \u0915\u0947 \u0938\u093e\u0925 \u091b\u094b\u0921\u093c \u0926\u0947\u0924\u093e \u0939\u0948, \u0935\u0939 \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"0.1 Hz",
@@ -6276,6 +6606,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0916\u093f\u0932\u094c\u0928\u093e \u0915\u093e\u0930 \u0939\u093e\u0930\u094d\u0928 \u092c\u091c\u093e\u0924\u0940 \u0939\u0941\u0908 5 m/s \u0915\u0940 \u0938\u094d\u0925\u093f\u0930 \u0917\u0924\u093f \u0938\u0947 \u090f\u0915 \u0926\u0940\u0935\u093e\u0930 \u0938\u0947 \u0926\u0942\u0930 \u0924\u0925\u093e \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0913\u0930 \u091c\u093e \u0930\u0939\u0940 \u0939\u0948\u0964 \u0909\u0938 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b 5 \u092c\u0940\u091f\u094d\u0938/\u0938\u0947. \u0938\u0941\u0928\u093e\u0908 \u0926\u0947\u0924\u0940 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0939\u0935\u093e \u092e\u0947\u0902 \u0927\u094d\u0935\u0928\u093f \u0915\u0940 \u0917\u0924\u093f 340 m/s \u0939\u0948, \u0924\u092c \u0939\u093e\u0930\u094d\u0928 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"680 Hz",
@@ -6295,6 +6626,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u090f\u0915 \u0935\u093f\u0936\u0947\u0937 \u0924\u093e\u092a \u092a\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0905\u0923\u0941\u0913\u0902 (N\u2082) \u0915\u093e \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u092e\u0942\u0932 \u0935\u0947\u0917 u \u0939\u0948 \u0964 \u092f\u0926\u093f \u0907\u0938 \u0924\u093e\u092a \u0915\u094b \u0926\u094b\u0917\u0941\u0928\u093e \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0914\u0930 \u0938\u092d\u0940 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0905\u0923\u0941 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0915\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092c\u0928 \u091c\u093e\u090f \u0924\u094b \u0928\u092f\u093e \u0935\u0930\u094d\u0917 \u092e\u093e\u0927\u094d\u092f \u092e\u0942\u0932 \u0935\u0947\u0917 \u0939\u094b\u0917\u093e :",
"options": [
"u/2",
@@ -6314,6 +6646,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u0915\u093f\u0938 \u0932\u0935\u0923 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 1s\u00b22s\u00b22p\u20763s\u00b23p\u2076 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u093f\u0915 \u0935\u093f\u0928\u094d\u092f\u093e\u0938 \u0915\u0947 \u0906\u092f\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0902\u0917\u0947 ?",
"options": [
"NaF",
@@ -6333,6 +6666,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u0915\u093f\u0938 \u092f\u094c\u0917\u093f\u0915 \u092e\u0947\u0902 H-X-H \u0905\u0923\u0941\u092c\u0928\u094d\u0927 \u0915\u094b\u0923 \u0938\u0930\u094d\u0935\u093e\u0927\u093f\u0915 \u0939\u0948 ?",
"options": [
"CH\u2084",
@@ -6352,6 +6686,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0938\u0924\u0939 \u0938\u0947 'h' \u0926\u0942\u0930\u0940 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u092a\u0930 \u090f\u0915 'm' \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937-\u092f\u093e\u0924\u094d\u0930\u0940 \u0915\u093e\u092e \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 'M' \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 'R' \u0939\u0948\u0964 \u0924\u092c \u0909\u0938 \u092f\u093e\u0924\u094d\u0930\u0940 \u092a\u0930 \u0932\u0917\u093e \u0939\u0941\u0906 \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 \u092c\u0932 FG \u0939\u0948 :",
"options": [
"\u0936\u0942\u0928\u094d\u092f, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0935\u0939 \u092f\u093e\u0924\u094d\u0930\u0940 \u092d\u093e\u0930\u0939\u0940\u0928\u0924\u093e \u092e\u0939\u0938\u0942\u0938 \u0915\u0930\u0924\u093e \u0939\u0948\u0964",
@@ -6371,6 +6706,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 49,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092a\u093e\u0926\u0928\u093e\u0924\u094d\u092e\u0915 (contrapositive) \u0939\u0948 : \"\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0935\u0930\u094d\u0917 \u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u090f, \u0924\u094b \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u0924\u093e \u0939\u0948\" :",
"options": [
"\u092f\u0926\u093f \u090f\u0915 \u0935\u0930\u094d\u0917 \u0915\u0940 \u092d\u0941\u091c\u093e \u0926\u0941\u0917\u0941\u0928\u0940 \u0928 \u0915\u0940 \u091c\u093e\u090f, \u0924\u094b \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u091a\u093e\u0930 \u0917\u0941\u0928\u093e \u0928\u0939\u0940\u0902 \u092c\u0922\u093c\u0924\u093e\u0964",
@@ -6390,6 +6726,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 48,
"question": "\u092f\u0926\u093f A>0, B>0 \u0924\u0925\u093e A + B = \u03c0/6 \u0939\u0948, \u0924\u094b tanA + tanB \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\u221a3 - \u221a2",
@@ -6409,6 +6746,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 48,
"question": "\u092c\u093f\u0902\u0926\u0941 A \u0938\u0947, \u091c\u094b \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u092a\u0942\u0930\u094d\u0935 \u0915\u0940 \u0913\u0930 \u0939\u0948, \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 45\u00b0 \u0939\u0948\u0964 \u092c\u093f\u0902\u0926\u0941 B, \u091c\u094b \u092c\u093f\u0902\u0926\u0941 A \u0915\u0947 \u0926\u0915\u094d\u0937\u093f\u0923 \u092e\u0947\u0902 \u0939\u0948, \u0938\u0947 \u0909\u0938\u0940 \u092e\u0940\u0928\u093e\u0930 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 30\u00b0 \u0939\u0948\u0964 \u092f\u0926\u093f A \u0924\u0925\u093e B \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 54\u221a2 \u092e\u0940. \u0939\u0948, \u0924\u094b \u092e\u0940\u0928\u093e\u0930 \u0915\u0940 \u090a\u0901\u091a\u093e\u0908 (\u092e\u0940. \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"36\u221a3",
@@ -6428,6 +6766,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u092f\u0926\u093f H\u2082O\u2082 \u0915\u0947 100 \u092e\u094b\u0932 1 bar \u0924\u0925\u093e 300 K \u092a\u0930 \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 \u0924\u094b 1 bar \u0926\u093e\u092c \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 1 \u092e\u094b\u0932 \u0911\u0915\u094d\u0938\u0940\u091c\u0928 \u0915\u0947 \u0935\u093f\u0938\u0930\u0923 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f (kJ \u092e\u0947\u0902) \u0939\u094b\u0917\u093e :",
"options": [
"62.25",
@@ -6447,6 +6786,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u0915\u093f\u0938\u0940 \u0935\u093f\u0936\u0947\u0937 \u0924\u093e\u092a \u092a\u0930, \u090f\u0915 \u0932\u0935\u0923 MX\u2082 \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u093e \u0935\u093e\u0902\u091f \u0939\u0949\u092b \u092b\u0948\u0915\u094d\u091f\u0930 2 \u0939\u0948\u0964 \u0932\u0935\u0923 \u0915\u0947 \u0907\u0938 \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u0935\u093f\u0918\u091f\u0928 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"0.33",
@@ -6466,6 +6806,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u090f\u0915 \u092c\u0902\u0926 (\u0938\u0940\u0932\u094d\u0921) \u0928\u093f\u0930\u094d\u0935\u093e\u0924\u093f\u0924 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u093e \u0920\u094b\u0938 XY \u0935\u093f\u0918\u091f\u093f\u0924 \u0939\u094b\u0915\u0930 \u0924\u093e\u092a T \u092a\u0930 \u0926\u094b \u0917\u0948\u0938\u094b\u0902 X \u0924\u0925\u093e Y \u0915\u093e \u092e\u093f\u0936\u094d\u0930\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u093e\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u093e\u092c 10 bar \u0939\u0948\u0964 \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f K\u209a \u0939\u094b\u0917\u093e :",
"options": [
"5",
@@ -6485,6 +6826,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 33,
"question": "PETN \u0915\u0947 \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u092a\u094d\u0930\u092e\u0941\u0916 \u0907\u0930\u0940\u0925\u094d\u0930\u093f\u091f\u094b\u0932 (C(CH\u2082OH)\u2084) \u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u092e\u0947\u0925\u0947\u0928\u0949\u0932 \u0924\u0925\u093e \u090f\u0925\u0947\u0928\u0949\u0932 \u0915\u0947 \u092c\u0940\u091a \u091a\u093e\u0930 \u090f\u0932\u094d\u0921\u094b\u0932 \u0938\u0902\u092f\u094b\u0917 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
@@ -6504,6 +6846,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u0906\u0935\u0947\u0936-\u0918\u0928\u0924\u094d\u0935 \u03c1(r) \u0915\u0947 \u0915\u093f\u0938\u0940 \u0917\u094b\u0932\u0940\u092f-\u0906\u0935\u0947\u0936-\u0935\u093f\u0924\u0930\u0923, \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u0924 N \u0938\u092e\u092a\u092d\u093e\u0935-\u092a\u0943\u0937\u094d\u0920, \u091c\u093f\u0928\u0915\u0940 \u0935\u093f\u092d\u0935 \u0939\u0948\u0902 V\u2080, V\u2080 + \u0394V, V\u2080 + 2\u0394V, ........ V\u2080 + N\u0394V (\u0394V>0), \u0906\u0930\u0947\u0916\u093f\u0924 \u0915\u093f\u092f\u0947 \u0917\u092f\u0947 \u0939\u0948\u0902 \u0914\u0930 \u0909\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 r\u2080, r\u2081, r\u2082,........rN \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0905\u0928\u094d\u0924\u0930\u093e\u0932, \u0938\u092d\u0940 V\u2080 \u0924\u0925\u093e \u0394V \u0915\u0947 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u092f\u0947, \u0928\u093f\u092f\u0924 \u0939\u0948 \u0924\u092c :",
"options": [
"\u03c1(r) \u221d r",
@@ -6523,6 +6866,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 44,
"question": "\u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 O \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e \u0930\u0947\u0916\u093e\u0913\u0902 3y = 10 - 4x \u0924\u0925\u093e 8x + 6y + 5 = 0 \u0915\u094b \u0915\u094d\u0930\u092e\u0936\u0903 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948, \u0924\u094b \u092c\u093f\u0902\u0926\u0941 O \u0930\u0947\u0916\u093e\u0916\u0902\u0921 AB \u0915\u094b \u091c\u093f\u0938 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"2 : 3",
@@ -6542,6 +6886,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 44,
"question": "\u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u0938\u0930\u0932 \u0930\u0947\u0916\u093e\u0913\u0902 x - y = 1 \u0924\u0925\u093e 2x + y = 3 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (1, -1) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"4x + y - 3 = 0",
@@ -6561,6 +6906,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 44,
"question": "P \u0924\u0925\u093e Q \u092a\u0930\u0935\u0932\u092f y^2 = 4x \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0926\u094b \u092d\u093f\u0928\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0947 \u092a\u094d\u0930\u093e\u091a\u0932 \u0915\u094d\u0930\u092e\u0936\u0903 t \u0924\u0925\u093e t_1 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f P \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c Q \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b t_1^2 \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
@@ -6580,6 +6926,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u0932\u0921\u093c\u093e\u0915\u0942 \u091c\u0939\u093e\u091c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 20 m, \u092a\u0902\u0916\u094b\u0902 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0926\u0942\u0930\u0940 15 m \u0924\u0925\u093e \u090a\u0902\u091a\u093e\u0908 5 m \u0939\u0948, \u0914\u0930 \u092f\u0939 \u0926\u093f\u0932\u094d\u0932\u0940 \u0915\u0947 \u090a\u092a\u0930 \u092a\u0942\u0930\u094d\u0935-\u0926\u093f\u0936\u093e \u092e\u0947\u0902 240 ms^(-1) \u0917\u0924\u093f \u0938\u0947 \u0909\u0921\u093c \u0930\u0939\u093e \u0939\u0948\u0964 \u0926\u093f\u0932\u094d\u0932\u0940 \u0915\u0947 \u090a\u092a\u0930 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u093e \u091a\u0941\u0902\u092c\u0915\u0940\u092f-\u0915\u094d\u0937\u0947\u0924\u094d\u0930 5\u00d710^(-5) T \u0939\u0948, \u0921\u093f\u0915\u094d\u0932\u093f\u0928\u0947\u0936\u0928 \u0915\u094b\u0923 0\u00b0 \u0939\u0948, \u0924\u0925\u093e \u0921\u093f\u092a \u0915\u094b\u0923 \u0915\u0947 \u0932\u093f\u092f\u0947 sin \u03b8 = 2/3 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0947\u0930\u093f\u0924-\u0935\u093f\u0935\u0936 V_B \u091c\u0939\u093e\u091c \u0915\u0947 \u090a\u092a\u0930 \u0935 \u0928\u0940\u091a\u0947 \u0915\u0947 \u092c\u0940\u091a ; V_W \u092a\u0902\u0916\u094b\u0902 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a\u0964 \u0924\u092c :\n(1) V_B = 45 mV ; V_W = 120 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve\n(2) V_B = 45 mV ; V_W = 120 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve\n(3) V_B = 40 mV ; V_W = 135 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve\n(4) V_B = 40 mV ; V_W = 135 mV \u092c\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e -ve",
"options": [
"V_B = 45 mV ; V_W = 120 mV \u0926\u093e\u092f\u093e\u0902 \u092a\u0902\u0916- \u0938\u093f\u0930\u093e +ve",
@@ -6599,6 +6946,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0938\u0939\u0940 \u0915\u0925\u0928 \u0915\u094b \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 :",
"options": [
"\u0906\u092f\u0930\u0928 \u0911\u0915\u094d\u0938\u0940\u091c\u0928-\u092e\u0941\u0915\u094d\u0924 \u091c\u0932 \u092e\u0947\u0902 \u0938\u0902\u0915\u094d\u0937\u093e\u0930\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
@@ -6618,6 +6966,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0939\u094b\u092e\u094b\u0932\u0948\u092a\u094d\u091f\u093f\u0915 (homoleptic) \u0938\u0902\u0915\u0941\u0932 \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948 ?",
"options": [
"[Co(NH\u2083)\u2086]Cl\u2083",
@@ -6637,6 +6986,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 29,
"question": "\u0930\u0942\u092c\u0940 \u090f\u0935\u0902 \u090f\u092e\u0930\u093e\u0932\u094d\u0921 \u092e\u0947\u0902 \u091c\u093f\u0928 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0927\u093e\u0924\u0941\u0913\u0902 \u0915\u0947 \u0906\u092f\u0928\u094b\u0902 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u0915\u0947 \u0915\u093e\u0930\u0923 \u0930\u0902\u0917 \u0939\u094b\u0924\u093e \u0939\u0948, \u0935\u0947 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"Cr\u00b3\u207a \u0924\u0925\u093e Co\u00b3\u207a",
@@ -6656,6 +7006,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 47,
"question": "5 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092e\u093e\u0924\u094d\u0930\u0915 5 \u0939\u0948 \u0924\u0925\u093e \u0909\u0928\u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 124 \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0928\u092e\u0947\u0902 \u0938\u0947 \u0924\u0940\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 1, 2 \u0924\u0925\u093e 6 \u0939\u0948\u0902, \u0924\u094b \u0907\u0928 \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u092e\u093e\u0924\u094d\u0930\u0915 \u0938\u0947 \u0938\u093e\u0927\u094d\u092f \u0935\u093f\u091a\u0932\u0928 \u0939\u0948:",
"options": [
"2.4",
@@ -6675,6 +7026,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 47,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0938\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u093e \u0938\u0902\u092f\u094b\u0917 \u0909\u0938\u0915\u0947 \u0935\u093f\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0938\u0902\u092f\u094b\u0917 \u0915\u093e \u0926\u0941\u0917\u0941\u0928\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 6 \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u092e \u0938\u0947 \u0915\u092e \u092a\u093e\u0901\u091a \u0915\u0947 \u0938\u092b\u0932 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948:",
"options": [
"240/729",
@@ -6694,6 +7046,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u0928\u0949\u091f \u092b\u094d\u0930\u0940\u091c\u0930 \u0905\u092a\u0928\u0947 \u0905\u0902\u0926\u0930 0\u00b0C \u092a\u0930 \u0930\u0916\u0947 \u0939\u0941\u090f \u091c\u0932 \u0938\u0947 \u090a\u0937\u094d\u092e\u093e \u0932\u0947\u0915\u0930 \u0909\u0938\u0947 \u0915\u092e\u0930\u0947 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 27\u00b0C \u092a\u0930 \u0928\u093f\u0937\u094d\u0915\u093e\u0938\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092c\u0930\u094d\u092b \u0915\u093e \u0917\u0941\u092a\u094d\u0924 \u090a\u0937\u094d\u092e\u093e 336 \u00d7 10\u00b3 J kg\u207b\u00b9 \u0939\u0948\u0964 \u092f\u0926\u093f \u092b\u094d\u0930\u0940\u091c\u0930 \u092e\u0947\u0902 \u0930\u0916\u093e 0\u00b0C \u092a\u0930 5 kg \u091c\u0932, 0\u00b0C \u092a\u0930 \u092c\u0930\u094d\u092b \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u093e \u0939\u0948 \u0924\u092c \u092b\u094d\u0930\u0940\u091c\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0916\u092a\u0924 \u0915\u0940 \u0917\u0908 \u090a\u0930\u094d\u091c\u093e \u0932\u0917\u092d\u0917 \u0939\u0948 :",
"options": [
"1.67 \u00d7 10\u2075 J",
@@ -6713,6 +7066,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0938\u0915\u094d\u0938\u093f\u0928\u0947\u091f \u0906\u092f\u0928 \u0915\u0947 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0938\u0947 \u090f\u0925\u093f\u0932\u0940\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u094d\u092c\u0928 \u0921\u093e\u0907\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0917\u0948\u0938\u0947\u0902 \u092c\u0928\u0924\u0940 \u0939\u0948\u0902\u0964 \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u0938\u0915\u094d\u0938\u093f\u0928\u0947\u091f \u0915\u0947 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 0.2 \u092b\u0948\u0930\u093e\u0921\u0947 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0917\u0948\u0938\u094b\u0902 \u0915\u093e \u0915\u0941\u0932 \u0906\u092f\u0924\u0928 (\u0915\u0948\u0925\u094b\u0921 \u0924\u0925\u093e \u090f\u0928\u094b\u0921 \u0926\u094b\u0928\u094b\u0902 \u092a\u0930) STP (1 \u0905\u091f\u092e \u0924\u0925\u093e 273 K) \u092a\u0930 \u0939\u094b\u0917\u093e :",
"options": [
"2.24 L",
@@ -6732,6 +7086,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0928\u0940\u091a\u0947 \u0926\u0940 \u0917\u0908 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0926\u0930 \u0928\u093f\u092f\u092e k [A][B] \u0935\u094d\u092f\u0902\u091c\u0915 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\nA + B \u2192 \u0909\u0924\u094d\u092a\u093e\u0926\nA \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0915\u093e \u092e\u093e\u0928 0.1 \u092e\u094b\u0932\u0930 \u092a\u0930 \u0930\u0916\u0924\u0947 \u0939\u0941\u090f \u092f\u0926\u093f B \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e 0.1 \u0938\u0947 \u092c\u0922\u093c\u093e\u0915\u0930 0.3 \u092e\u094b\u0932\u0930 \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0926\u0930 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0939\u094b\u0917\u093e :",
"options": [
"k",
@@ -6751,6 +7106,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0915\u0941\u091b \u0915\u094b\u0932\u0949\u0907\u0921\u094d\u0938 \u0915\u0947 \u0938\u094d\u0935\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948\u0902, \u091c\u093f\u0932\u0947\u091f\u093f\u0928 : 0.005 - 0.01, \u0917\u092e \u090f\u0930\u0947\u092c\u093f\u0915 : 0.15 - 0.25; \u0913\u0932\u093f\u092f\u0947\u091f : 0.04 - 1.0; \u0938\u094d\u091f\u093e\u0930\u094d\u091a : 15 - 25, \u0907\u0928\u092e\u0947\u0902 \u0915\u094c\u0928-\u0938\u093e \u092c\u0947\u0939\u0924\u0930 \u0930\u0915\u094d\u0937\u0940 \u0915\u094b\u0932\u0949\u0907\u0921 \u0939\u094b\u0917\u093e ?",
"options": [
"\u091c\u093f\u0932\u0947\u091f\u093f\u0928",
@@ -6770,6 +7126,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u0936\u0941\u0937\u094d\u0915 \u0938\u092b\u093e\u0908 \u092e\u0947\u0902 \u092e\u0941\u0916\u094d\u092f\u0924: \u0928\u093f\u092e\u094d\u0928 \u092a\u0926\u093e\u0930\u094d\u0925\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0935\u093e\u0924\u093e\u0935\u0930\u0923 \u092a\u094d\u0930\u0926\u0942\u0937\u0923 \u0915\u0947 \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u0923 \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u0915\u093e\u0930\u094d\u092f \u0928\u0940\u0924\u093f \u0939\u0948 ?",
"options": [
"\u091f\u0947\u091f\u094d\u0930\u093e\u0915\u094d\u0932\u094b\u0930\u094b\u090f\u0925\u093f\u0932\u0940\u0928",
@@ -6789,6 +7146,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 30,
"question": "\u0939\u0948\u0932\u094b\u091c\u0928\u0938 \u0915\u0940 \u091c\u093e\u0901\u091a \u0938\u0947 \u092a\u0939\u0932\u0947 \u0938\u094b\u0921\u093f\u092f\u092e \u090f\u0915\u094d\u0938\u091f\u094d\u0930\u0948\u0915\u094d\u091f \u0915\u094b \u0938\u093e\u0928\u094d\u0926\u094d\u0930 HNO3 \u0915\u0947 \u0938\u093e\u0925 \u0917\u0930\u094d\u092e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u094d\u092f\u094b\u0902\u0915\u093f :",
"options": [
"\u0938\u093f\u0932\u094d\u0935\u0930 \u0939\u0948\u0932\u093e\u0907\u0921\u094d\u0938 \u0928\u093e\u0907\u091f\u094d\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0923\u0930\u0942\u092a\u0947\u0923 \u0905\u0935\u093f\u0932\u0947\u092f \u0939\u0948\u0902\u0964",
@@ -6808,6 +7166,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 \u0906\u0935\u0930\u094d\u0924 \u0938\u093e\u0930\u0923\u0940 \u092e\u0947\u0902 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0924\u0924\u094d\u0935\u094b\u0902 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0902\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0924\u094d\u092f \u0939\u0948 ?",
"options": [
"\u0938\u092e\u0942\u0939 17 \u092e\u0947\u0902 \u0938\u092d\u0940 \u0924\u0924\u094d\u0935 \u0917\u0948\u0938 \u0939\u0948\u0902\u0964",
@@ -6827,6 +7186,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0938\u094d\u092e\u0947\u0932\u094d\u091f\u093f\u0902\u0917 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0949\u092a\u0930 \u0915\u0947 \u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937\u0923 \u092e\u0947\u0902 \u0938\u093f\u0932\u093f\u0915\u093e \u092f\u094b\u091c\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u094b \u0939\u091f\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u093e\u0932\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 ?",
"options": [
"Cu\u2082S",
@@ -6846,6 +7206,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0909\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u092c\u0924\u093e\u0907\u090f \u091c\u093f\u0938\u092e\u0947\u0902 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u0940 \u0939\u0948 :",
"options": [
"\u091c\u0932\u0940\u092f \u0915\u094d\u0937\u093e\u0930 \u0915\u0947 \u0938\u093e\u0925 \u091c\u093f\u0902\u0915 \u0915\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e",
@@ -6865,6 +7226,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u092c\u093f\u091c\u0932\u0940 \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0947 \u091f\u094b\u0938\u094d\u091f\u0930 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0938\u0947 \u092c\u0926\u0932\u093e\u0935 R(T) = R\u2080 [1 + \u03b1(T - T\u2080)] \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 T\u2080 = 300 K \u092a\u0930 R = 100 \u03a9 \u0939\u0948 \u0924\u0925\u093e T = 500 K \u092a\u0930 R = 120 \u03a9 \u0939\u0948\u0964 \u091f\u094b\u0938\u094d\u091f\u0930 200 V \u0915\u0947 \u0938\u094d\u0930\u094b\u0924 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 300 K \u0938\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0926\u0930 \u092a\u0930 \u092c\u0922\u093c\u0915\u0930 30 s \u092e\u0947\u0902 500 K \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092e\u0947\u0902 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u0941\u0932 \u0915\u093e\u0930\u094d\u092f \u0939\u0948 :",
"options": [
"400 ln 1.5/1.3 J",
@@ -6884,6 +7246,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 46,
"question": "\u03bb \u0915\u0947 \u0935\u0939 \u092d\u093f\u0928\u094d\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0930\u0947\u0916\u093e\u090f\u0901 \\( \\frac{x-1}{1} = \\frac{y-2}{2} = \\frac{z+3}{\\lambda^2} \\) \u0924\u0925\u093e \\( \\frac{x-3}{1} = \\frac{y-2}{\\lambda^2} = \\frac{z-1}{2} \\) \u0938\u092e\u0924\u0932\u0940\u092f \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"4",
@@ -6903,6 +7266,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 46,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f ABC \u090f\u0915 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948 \u091c\u093f\u0938\u0915\u093e \u092a\u0930\u093f\u0915\u0947\u0928\u094d\u0926\u094d\u0930 P \u092a\u0930 \u0939\u0948\u0964 \u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A, B, C \u0924\u0925\u093e P \u0915\u0947 \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0915\u094d\u0930\u092e\u0936\u0903 \\( \\vec{a}, \\vec{b}, \\vec{c} \\) \u0924\u0925\u093e \\( \\frac{\\vec{a} + \\vec{b} + \\vec{c}}{4} \\) \u0939\u0948\u0902, \u0924\u094b \u0907\u0938 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0932\u092e\u094d\u092c - \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0915\u093e \u0938\u094d\u0925\u093f\u0924\u093f \u0938\u0926\u093f\u0936 \u0939\u0948 :",
"options": [
"\\( \\vec{a} + \\vec{b} + \\vec{c} \\)",
@@ -6922,6 +7286,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 20,
"question": "1 m \u0932\u092e\u094d\u092c\u0940 \u092a\u0924\u0932\u0940 \u091b\u0921\u093c \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 5 mm \u0939\u0948\u0964 \u092f\u0902\u0917 \u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0938 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0907\u0938\u0915\u0947 \u090f\u0915 \u0938\u093f\u0930\u0947 \u092a\u0930 50 mKN \u0915\u093e \u092c\u0932 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092e\u093e\u0928\u0947\u0902 \u0915\u093f \u092c\u0932 \u092c\u093f\u0932\u094d\u0915\u0941\u0932 \u0920\u0940\u0915 \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u092e\u093e\u092a \u092e\u0947\u0902 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e 0.01 mm \u0939\u0948\u0964 \u0924\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0394Y/Y \u092e\u0947\u0902 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u0905\u0928\u093f\u0936\u094d\u091a\u093f\u0924\u0924\u093e \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948\u0964",
@@ -6941,6 +7306,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 \u221a2x + 1 - \u221a2x - 1 = 1, (x \u2265 1/2) \u0915\u093e x \u090f\u0915 \u0939\u0932 \u0939\u0948, \u0924\u094b \u221a4x\u00b2 - 1 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"3/4",
@@ -6960,6 +7326,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u092e\u093e\u0928\u094b z = 1 + ai, a > 0 \u090f\u0915 \u0910\u0938\u0940 \u0938\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0915\u093f z\u00b3 \u090f\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948, \u0924\u094b \u092f\u094b\u0917 1 + z + z\u00b2 + ..... + z\u00b9\u00b9 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948:",
"options": [
"-1250 \u221a3 i",
@@ -6979,6 +7346,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 41,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f C \u090f\u0915 \u0935\u0915\u094d\u0930 \u0939\u0948 \u091c\u094b y(x) = 1 + \u221a4x - 3, x > 3/4 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u0939\u0948\u0964 \u092f\u0926\u093f P \u090f\u0915 \u0910\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u0915\u093f P \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936 \u0930\u0947\u0916\u093e \u0915\u0940 \u0922\u093e\u0932 2/3 \u0939\u0948, \u0924\u094b \u0935\u0939 \u092c\u093f\u0902\u0926\u0941 \u091c\u093f\u0938\u0938\u0947 P \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0917\u0941\u091c\u0930\u0924\u093e \u0939\u0948, \u0939\u0948 :",
"options": [
"(2, 3)",
@@ -6998,6 +7366,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 41,
"question": "\u0938\u092e\u093e\u0915\u0932\u0928 \u222b dx / (1 + \u221ax) \u221ax - x\u00b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u0935\u092f \u0939\u0948\u0964)",
"options": [
"-2 [1 + \u221ax / 1 - \u221ax] + C",
@@ -7017,6 +7386,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u0926\u094b \u0924\u093e\u0930\u0947 \u092a\u0943\u0925\u094d\u0935\u0940 \u0938\u0947 10 \u092a\u094d\u0930\u0915\u093e\u0936-\u0935\u0930\u094d\u0937 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902\u0964 \u0909\u0928\u0915\u094b \u090f\u0915 \u091f\u0947\u0932\u0940\u0938\u094d\u0915\u094b\u092a \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0905\u092d\u093f\u0935\u094d\u092f\u093e\u0938\u0930\u0942\u092a 30 cm \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f 600 nm \u0939\u0948\u0964 \u091f\u0947\u0932\u0940\u0938\u094d\u0915\u094b\u092a \u0905\u0917\u0930 \u0909\u0928 \u0924\u093e\u0930\u094b\u0902 \u0915\u094b \u0932\u0917\u092d\u0917 \u0935\u093f\u092d\u0947\u0926\u093f\u0924 \u0926\u0947\u0916 \u092a\u093e \u0930\u0939\u093e \u0939\u0948, \u0924\u092c \u0909\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u093e order \u0939\u0948 :",
"options": [
"10^6 km",
@@ -7036,6 +7406,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936-\u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0938\u0924\u0939 \u092a\u0930 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u03bb \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u092c\u093e\u0930 \u03bb/2 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936-\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f\u091c-\u090a\u0930\u094d\u091c\u093e \u0926\u0942\u0938\u0930\u0940 \u092c\u093e\u0930 \u092e\u0947\u0902 \u092a\u0939\u0932\u0940 \u092c\u093e\u0930 \u0915\u0940 \u0924\u093f\u0917\u0941\u0928\u0940 \u0939\u094b, \u0924\u092c \u0909\u0938 \u0938\u0924\u0939 \u0915\u093e \u0915\u093e\u0930\u094d\u092f-\u092b\u0932\u0928 \u0939\u0948 :",
"options": [
"hc/3\u03bb",
@@ -7055,6 +7426,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 40,
"question": "\u092e\u093e\u0928\u093e f(x) = sin\u2074x + cos\u2074x \u0939\u0948, \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902 f \u090f\u0915 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u092b\u0932\u0928 \u0939\u0948 ?",
"options": [
"[0, \u03c0/4]",
@@ -7074,6 +7446,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u092e\u093e\u0928 A, 3 \u00d7 3 \u0915\u093e \u090f\u0915 \u0910\u0938\u093e \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0915\u093f A\u00b2 - 5A + 7I = O \u0939\u0948\u0964\n\u0915\u0925\u0928 - I : A\u207b\u00b9 = 1/7 (5I - A)\u0964\n\u0915\u0925\u0928 - II : \u092c\u0939\u0941\u092a\u0926 A\u00b3 - 2A\u00b2 - 3A + I \u0915\u094b 5(A - 4I) \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948\u0964\n\u0924\u094b,",
"options": [
"\u0915\u0925\u0928 - I \u0938\u0924\u094d\u092f \u0939\u0948 \u0932\u0947\u0915\u093f\u0928 \u0915\u0925\u0928 - II \u0905\u0938\u0924\u094d\u092f \u0939\u0948\u0964",
@@ -7093,6 +7466,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u092f\u0926\u093f A = [ -4 -1 3 1 ], \u0924\u094b \u0906\u0935\u094d\u092f\u0942\u0939 (A\u00b2\u2070\u00b9\u2076 - 2A\u00b2\u2070\u00b9\u2075 - A\u00b2\u2070\u00b9\u2074) \u0915\u093e \u0938\u093e\u0930\u0923\u093f\u0915 \u0939\u0948 :",
"options": [
"2014",
@@ -7112,6 +7486,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 21,
"question": "\u0915\u093e\u0901\u091a \u0915\u0940 \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u0915\u093e \u091a\u0932-\u092e\u093e\u0907\u0915\u094d\u0930\u094b\u0938\u094d\u0915\u094b\u092a \u0926\u094d\u0935\u093e\u0930\u093e \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u0930\u0942\u0930\u0940 \u092a\u0920\u0928\u093e\u0902\u0915 \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\u0926\u094b",
@@ -7131,6 +7506,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "A, B, C \u0924\u0925\u093e D \u091a\u093e\u0930 \u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0924\u094d\u0930\u093e\u090f\u0901 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0940 \u0935\u093f\u092e\u093e\u090f\u0901 \u092d\u093f\u0928\u094d\u0928 \u0939\u0948\u0902\u0964 \u0915\u094b\u0908 \u092d\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0935\u093f\u092e\u093e-\u0930\u0939\u093f\u0924 \u092e\u093e\u0924\u094d\u0930\u093e \u0928\u0939\u0940\u0902 \u0939\u0948, \u0932\u0947\u0915\u093f\u0928 AD = C ln(BD) \u0938\u0924\u094d\u092f \u0939\u0948\u0964 \u0924\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0906\u092f\u093e\u092e-\u0930\u0939\u093f\u0924 \u092e\u093e\u0924\u094d\u0930\u093e \u0939\u0948 ?",
"options": [
"A^2 - B^2C^2",
@@ -7150,6 +7526,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 M \u0915\u093e \u090f\u0915 \u0915\u0923 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0915\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f \u092a\u0925 \u092a\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u091a\u0932 \u0930\u0939\u093e \u0939\u0948 \u0915\u093f \u0938\u092e\u092f t \u092a\u0930 \u0905\u092d\u093f\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u092f \u0924\u094d\u0935\u0930\u0923 n^2 R t^2 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948, \u091c\u0939\u093e\u0901 'n' \u0938\u094d\u0925\u093f\u0930 \u0939\u0948\u0964 \u0924\u092c \u0915\u0923 \u092a\u0930 \u0932\u0917 \u0930\u0939\u0947 \u092c\u0932 \u0926\u094d\u0935\u093e\u0930\u093e \u0909\u0938\u0915\u094b \u0926\u0940 \u0917\u0908 \u0936\u0915\u094d\u0924\u093f \u0939\u0948 :",
"options": [
"M n^2 R^2 t",
@@ -7169,6 +7546,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0916\u0902\u092d\u0947 \u0915\u0940 \u0913\u0930 \u090f\u0915 \u0938\u0940\u0927\u0947 \u092a\u0925 \u092a\u0930 \u090f\u0915 \u0938\u092e\u093e\u0928 \u091a\u093e\u0932 \u0938\u0947 \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u0930\u093e\u0938\u094d\u0924\u0947 \u092a\u0930 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 A \u0938\u0947 \u0935\u0939 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 30\u00b0 \u092a\u093e\u0924\u093e \u0939\u0948\u0964 A \u0938\u0947 \u0909\u0938\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 10 \u092e\u093f\u0928\u091f \u0914\u0930 \u091a\u0932\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092c\u093f\u0902\u0926\u0941 B \u0938\u0947 \u0935\u0939 \u0916\u0902\u092d\u0947 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0915\u093e \u0909\u0928\u094d\u0928\u092f\u0928 \u0915\u094b\u0923 60\u00b0 \u092a\u093e\u0924\u093e \u0939\u0948, \u0924\u094b B \u0938\u0947 \u0916\u0902\u092d\u0947 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u092e\u0947\u0902 \u0909\u0938\u0947 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u0938\u092e\u092f (\u092e\u093f\u0928\u091f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"6",
@@ -7188,6 +7566,7 @@
"level": "high school",
"category_en": "computer concepts",
"category_original_lang": "\u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0901",
+ "page_num": 38,
"question": "\u092c\u0942\u0932\u093f\u092f\u0928 \u0915\u0947 \u0935\u094d\u092f\u0902\u091c\u0915 (Boolean Expression) (p\u2227\u223cq)\u2228q\u2228(\u223cp\u2227q) \u0915\u093e \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948 :",
"options": [
"\u223cp\u2227q",
@@ -7207,6 +7586,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f :",
"options": [
"\u0906\u092f\u093e\u092e \u092e\u093e\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0940 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u0947 \u0906\u092f\u093e\u092e \u092e\u0947\u0902 \u092c\u0926\u0932\u093e\u0935 \u0927\u094d\u0935\u0928\u093f \u0938\u0902\u0915\u0947\u0924 \u0915\u0947 \u0906\u092f\u093e\u092e \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u0948\u0964",
@@ -7226,6 +7606,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u090f\u0915 \u0938\u094d\u0915\u094d\u0930\u0942-\u0917\u0947\u091c \u0915\u093e \u092a\u093f\u091a 0.5 mm \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f-\u0938\u094d\u0915\u0947\u0932 \u092a\u0930 50 \u092d\u093e\u0917 \u0939\u0948\u0902\u0964 \u0907\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u092a\u0924\u0932\u0940 \u0905\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0936\u0940\u091f \u0915\u0940 \u092e\u094b\u091f\u093e\u0908 \u092e\u093e\u092a\u0940 \u0917\u0908\u0964 \u092e\u093e\u092a \u0938\u0947 \u092a\u0942\u0930\u094d\u0935 \u092f\u0939 \u092a\u093e\u092f\u093e \u0917\u092f\u093e \u0915\u093f \u091c\u092c \u0938\u094d\u0915\u094d\u0930\u0942-\u0917\u0947\u091c \u0915\u0947 \u0926\u094b \u091c\u092c\u0921\u093c\u094b\u0902 \u0915\u094b \u0938\u092e\u094d\u092a\u0930\u094d\u0915 \u092e\u0947\u0902 \u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u092c 45 \u0935\u093e\u0902 \u092d\u093e\u0917 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0932\u093e\u0907\u0928 \u0915\u0947 \u0938\u092e\u094d\u092a\u093e\u0924\u0940 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u093e \u0936\u0942\u0928\u094d\u092f (0) \u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0938\u0947 \u0926\u093f\u0916\u0924\u093e \u0939\u0948\u0964 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0915\u093e \u092a\u093e\u0920\u093e\u0902\u0915 \u092f\u0926\u093f 0.5 mm \u0924\u0925\u093e 25 \u0935\u093e\u0902 \u092d\u093e\u0917 \u092e\u0941\u0916\u094d\u092f \u0938\u094d\u0915\u0947\u0932 \u0932\u093e\u0907\u0928 \u0915\u0947 \u0938\u092e\u094d\u092a\u093e\u0924\u0940 \u0939\u094b, \u0924\u094b \u0936\u0940\u091f \u0915\u0940 \u092e\u094b\u091f\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940 ?",
"options": [
"0.75 mm",
@@ -7245,6 +7626,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0935\u0915\u094d\u0930 y=f(x) \u092c\u093f\u0902\u0926\u0941 (1, -1) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0905\u0935\u0915\u0932 \u0938\u092e\u0940\u0915\u0930\u0923 y(1 + xy) dx = x dy \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u094b f(-1/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2/5",
@@ -7264,6 +7646,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0926\u094b \u092d\u0941\u091c\u093e\u090f\u0901 \u0930\u0947\u0916\u093e\u090f\u0901 x - y + 1 = 0 \u0924\u0925\u093e 7x - y - 5 = 0 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e \u0907\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923 \u092c\u093f\u0902\u0926\u0941 (-1, -2) \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0907\u0938 \u0938\u092e\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0936\u0940\u0930\u094d\u0937 \u0939\u0948 ?",
"options": [
"(-3, -9)",
@@ -7283,6 +7666,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u0909\u0928 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930, \u091c\u094b \u0935\u0943\u0924\u094d\u0924 x^2 + y^2 - 8x - 8y - 4 = 0 \u0915\u094b \u092c\u093e\u0939\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u0924\u0925\u093e x-\u0905\u0915\u094d\u0937 \u0915\u094b \u092d\u0940 \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902 :",
"options": [
"\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930\u0964",
@@ -7302,6 +7686,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0924\u0924\u094d \u0924\u0925\u093e \u0938\u093e\u0928\u094d\u0926\u094d\u0930 \u0928\u093e\u0907\u091f\u094d\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u0947 \u0938\u093e\u0925 \u091c\u093f\u0902\u0915 \u0915\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 :",
"options": [
"N\u2082O \u0924\u0925\u093e NO\u2082",
@@ -7321,6 +7706,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0935\u0939 \u092f\u0941\u0917\u094d\u092e \u091c\u093f\u0938\u092e\u0947\u0902 \u092b\u093e\u0938\u094d\u092b\u094b\u0930\u0938 \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0940 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e +3 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0911\u0930\u094d\u0925\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0924\u0925\u093e \u092a\u093e\u092f\u0930\u094b\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u0905\u092e\u094d\u0932",
@@ -7340,6 +7726,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u092f\u094c\u0917\u093f\u0915 \u0927\u093e\u0924\u094d\u0935\u093f\u0915 \u0924\u0925\u093e \u092b\u0947\u0930\u0947\u092e\u0948\u0917\u094d\u0928\u0947\u091f\u093f\u0915 (\u0932\u094b\u0939 \u091a\u0941\u0902\u092c\u0915\u0940\u092f) \u0939\u0948 ?",
"options": [
"TiO\u2082",
@@ -7359,6 +7746,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "\u090f\u0915 \u0917\u0930\u094d\u092e \u092b\u093f\u0932\u093e\u092e\u0947\u0902\u091f \u0938\u0947 \u0928\u093f\u0915\u0932\u0940 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0927\u093e\u0930\u093e \u0915\u094b V esu \u0915\u0947 \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u092a\u0930 \u0930\u0916\u0947 \u0926\u094b \u0906\u0935\u0947\u0936\u093f\u0924 \u092a\u094d\u0932\u0947\u091f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u092e\u0947\u0902 \u092d\u0947\u091c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0947 \u0906\u0935\u0947\u0936 \u0924\u0925\u093e \u0938\u0902\u0939\u0924\u093f \u0915\u094d\u0930\u092e\u0936\u0903 e \u0924\u0925\u093e m \u0939\u094b\u0902 \u0924\u094b h/\u03bb \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u092f\u0947\u0917\u093e? (\u091c\u0939\u093e\u0901 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0924\u0930\u0902\u0917 \u0938\u0947 \u0938\u092e\u094d\u092c\u0902\u0927\u093f\u0924 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb \u0939\u0948)",
"options": [
"meV",
@@ -7378,6 +7766,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u0935\u0939 \u0938\u094d\u092a\u0940\u0936\u0940\u091c\u093c, \u091c\u093f\u0938\u092e\u0947\u0902 N \u092a\u0930\u092e\u093e\u0923\u0941 sp \u0938\u0902\u0915\u0930\u0923 \u0915\u0940 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948, \u0939\u094b\u0917\u0940 :",
"options": [
"NO2+",
@@ -7397,6 +7786,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u0915\u093e\u0930\u094d\u092c\u0928 \u0924\u0925\u093e \u0915\u093e\u0930\u094d\u092c\u0928 \u092e\u094b\u0928\u094b\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0926\u0939\u0928 \u090a\u0937\u094d\u092e\u093e\u092f\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 -393.5 \u0924\u0925\u093e -283.5 kJ mol-1 \u0939\u0948\u0902\u0964 \u0915\u093e\u0930\u094d\u092c\u0928 \u092e\u094b\u0928\u094b\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0938\u0902\u0937\u094d\u0932\u0947\u0937\u0923 \u090a\u0937\u094d\u092e\u093e (kJ \u092e\u0947\u0902) \u092a\u094d\u0930\u0924\u093f \u092e\u094b\u0932 \u0939\u094b\u0917\u0940 :",
"options": [
"110.5",
@@ -7416,6 +7806,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "18 g \u0917\u094d\u0932\u0942\u0915\u094b\u0938 (C\u2086H\u2081\u2082O\u2086) \u0915\u094b 178.2 g \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u091c\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 \u0932\u093f\u090f \u091c\u0932 \u0915\u093e \u0935\u093e\u0937\u094d\u092a \u0926\u093e\u092c (torr \u092e\u0947\u0902) \u0939\u094b\u0917\u093e :",
"options": [
"7.6",
@@ -7435,6 +7826,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0924\u093e\u092a\u092e\u093e\u0928 298 K \u092a\u0930, \u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A + B \u21cc C + D \u0915\u0947 \u0932\u093f\u090f \u0938\u093e\u092e\u094d\u092f\u093e\u0902\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 100 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0938\u092d\u0940 \u091a\u093e\u0930\u094b\u0902 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 1 M \u0939\u094b\u0924\u0940, \u0924\u094b D \u0915\u0940 \u0938\u093e\u092e\u094d\u092f \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e (mol L\u207b\u00b9 \u092e\u0947\u0902) \u0939\u094b\u0917\u0940 :",
"options": [
"0.182",
@@ -7454,6 +7846,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0917\u0948\u0932\u094d\u0935\u0928\u093e\u0907\u091c\u0947\u0936\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0915\u094b\u091f \u0938\u0947 \u0939\u094b\u0924\u093e \u0939\u0948 ?",
"options": [
"Pb",
@@ -7473,6 +7866,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u090f\u0915\u0939\u0940 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u093e \u092f\u0941\u0917\u094d\u092e \u0939\u0948 :",
"options": [
"[Cr(H\u2082O)\u2086]\u00b2\u207a \u0924\u0925\u093e [CoCl\u2084]\u00b2\u207b",
@@ -7492,6 +7886,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0949\u092e\u094d\u092a\u094d\u0932\u0947\u0915\u094d\u0938 \u092a\u094d\u0930\u0915\u093e\u0936\u0940\u092f \u0938\u092e\u093e\u0935\u092f\u0935\u0924\u093e \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0947\u0917\u093e ?",
"options": [
"[Co(NH\u2083)\u2083Cl\u2083]",
@@ -7511,6 +7906,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u092d\u0942\u092e\u093f\u0917\u0924 \u091d\u0940\u0932 \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0930\u0942\u092a\u094b\u0902 \u092e\u0947\u0902 \u092b\u094d\u0932\u094b\u0930\u093e\u0907\u0921, \u0932\u0947\u0921, \u0928\u093e\u0907\u091f\u094d\u0930\u0947\u091f \u0924\u0925\u093e \u0906\u092f\u0930\u0928 \u0915\u0940 \u0938\u093e\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0915\u094d\u0930\u092e\u0936\u0903 1000 ppb, 40 ppb, 100 ppm \u0924\u0925\u093e 0.2 ppm \u092a\u093e\u0908 \u0917\u0908 \u0964 \u092f\u0939 \u091c\u0932 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0940 \u0909\u091a\u094d\u091a \u0938\u093e\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0938\u0947 \u092a\u0940\u0928\u0947 \u092f\u094b\u0917\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u092b\u094d\u0932\u094b\u0930\u093e\u0907\u0921",
@@ -7530,6 +7926,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092f\u0926\u093f \u0938\u092e\u0940\u0915\u0930\u0923 \\(x^2 + y^2 - 4x + 6y - 12 = 0\\) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u094d\u0930\u0926\u0924\u094d\u0924 \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u090f\u0915 \u0935\u094d\u092f\u093e\u0938 \u090f\u0915 \u0905\u0928\u094d\u092f \u0935\u0943\u0924\u094d\u0924 S, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 (-3, 2) \u0939\u0948, \u0915\u0940 \u091c\u0940\u0935 \u0939\u0948, \u0924\u094b \u0935\u0943\u0924\u094d\u0924 S \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(5\\sqrt{2}\\)",
@@ -7549,6 +7946,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u092a\u0930\u0935\u0932\u092f \\(y^2 = 8x\\) \u0915\u093e P \u090f\u0915 \u0910\u0938\u093e \u092c\u093f\u0902\u0926\u0941 \u0939\u0948 \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \\(x^2 + (y + 6)^2 = 1\\), \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 C \u0938\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948, \u0924\u094b \u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u091c\u094b C \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 P \u092a\u0930 \u0939\u0948, \u0939\u0948 :",
"options": [
"\\(x^2 + y^2 - 4x + 8y + 12 = 0\\)",
@@ -7568,6 +7966,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u0909\u0938 \u0905\u0935\u0924\u0932\u092a\u0930\u0935\u0932\u092f, \u091c\u093f\u0938\u0915\u0947 \u0932\u092e\u094d\u092c\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 8 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0938\u0902\u092f\u0941\u0917\u094d\u092e\u0940 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0909\u0938\u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u0940 \u0906\u0927\u0940 \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\\(\\frac{4}{3}\\)",
@@ -7587,6 +7986,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0916\u0941\u0932\u0947 \u090f\u0915 \u092a\u093e\u0907\u092a \u0915\u0940 \u0935\u093e\u092f\u0941 \u092e\u0947\u0902 \u092e\u0942\u0932-\u0906\u0935\u0943\u0924\u094d\u0924\u093f f \u0939\u0948\u0964 \u092a\u093e\u0907\u092a \u0915\u094b \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0909\u0938\u0915\u0940 \u0906\u0927\u0940-\u0932\u0902\u092c\u093e\u0908 \u0924\u0915 \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 \u0921\u0941\u092c\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u0907\u0938\u092e\u0947\u0902 \u092c\u091a\u0947 \u0935\u093e\u092f\u0941-\u0915\u093e\u0932\u092e \u0915\u0940 \u092e\u0942\u0932 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"f/2",
@@ -7606,6 +8006,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u090f\u0915 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0915\u093e\u0907\u0932 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948\u0964 1 mA \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0907\u0938\u092e\u0947\u0902 \u092a\u0942\u0930\u094d\u0923-\u0938\u094d\u0915\u0947\u0932 \u0935\u093f\u091a\u0932\u0928 \u092e\u093f\u0932\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u094b 10 A \u0915\u0947 \u092a\u093e\u0930\u093f\u0924\u094b\u0937 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u091c\u094b \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0932\u0917\u093e\u0928\u093e \u0939\u094b\u0917\u093e \u0935\u0939 \u0939\u0948 :",
"options": [
"0.01 \u03a9",
@@ -7625,6 +8026,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0924\u0925\u093e i \u2013 \u03b4 \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0915\u0930 \u090f\u0915 \u0915\u093e\u0901\u091a \u0938\u0947 \u092c\u0928\u0947 \u092a\u094d\u0930\u093f\u091c\u094d\u092e \u0915\u093e \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u090f\u0915 \u0915\u093f\u0930\u0923 \u0915\u094b 35\u00b0 \u092a\u0930 \u0906\u092a\u0924\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u0935\u0939 40\u00b0 \u0938\u0947 \u0935\u093f\u091a\u0932\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e \u092f\u0939 79\u00b0 \u092a\u0930 \u0928\u093f\u0930\u094d\u0917\u092e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u093e \u092e\u093e\u0928 \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \u0915\u0947 \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0915\u0947 \u0938\u092c\u0938\u0947 \u092a\u093e\u0938 \u0939\u0948 ?",
"options": [
"1.5",
@@ -7644,6 +8046,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "2 \u0907\u0915\u093e\u0908 \u0932\u0902\u092c\u0940 \u090f\u0915 \u0924\u093e\u0930 \u0915\u094b \u0926\u094b \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u0915\u093e\u091f \u0915\u0930 \u0909\u0928\u094d\u0939\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 r \u0907\u0915\u093e\u0908 \u0918\u0942\u092e\u093e \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0924\u0925\u093e r \u0907\u0915\u093e\u0908 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u092c\u0928\u093e\u090f \u0917\u092f\u0947 \u0935\u0930\u094d\u0917 \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0939\u0948, \u0924\u094b :",
"options": [
"2x = (\u03c0 + 4)r",
@@ -7663,6 +8066,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u0938\u092e\u093e\u0915\u0932 \u222b (2x^12 + 5x^9) / (x^5 + x^3 + 1)^3 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-x^5 / (x^5 + x^3 + 1)^2 + C",
@@ -7682,6 +8086,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 24,
"question": "\u0938\u093e\u092c\u0941\u0928 \u0909\u0926\u094d\u092f\u094b\u0917 \u092e\u0947\u0902 \u0917\u094d\u0932\u0940\u0938\u0930\u0940\u0928 \u0932\u093e\u0939 (\u0938\u094d\u092a\u0947\u0902\u091f \u0932\u093e\u0908) \u0938\u0947 \u0935\u093f\u0932\u0917\u0928 \u0939\u0947\u0924\u0941 \u092a\u0943\u0925\u0915 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0938\u092c\u0938\u0947 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0906\u0938\u0935\u0928 \u0935\u093f\u0927\u093f \u0939\u0948 :",
"options": [
"\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0906\u0938\u0935\u0928",
@@ -7701,6 +8106,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0938\u094d\u0925\u0948\u0924\u093f\u0915-\u0915\u0932\u094d\u0935 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u0947 \u0917\u0941\u095b\u0930\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e \u0909\u0938\u0915\u0940 \u092e\u094b\u0932\u0930-\u090a\u0937\u094d\u092e\u093e-\u0927\u093e\u0930\u093f\u0924\u093e C \u0938\u094d\u0925\u093f\u0930 \u0930\u0939\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0909\u0938\u0915\u0947 \u0926\u093e\u092c P \u0935 \u0906\u092f\u0924\u0928 V \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 PV^n = constant \u0939\u0948\u0964 (C_P \u0924\u0925\u093e C_V \u0915\u094d\u0930\u092e\u0936\u0903 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0926\u093e\u092c \u0935 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0906\u092f\u0924\u0928 \u092a\u0930 \u090a\u0937\u094d\u092e\u093e-\u0927\u093e\u0930\u093f\u0924\u093e \u0939\u0948) \u0924\u092c 'n' \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948:",
"options": [
"n = C_P / C_V",
@@ -7720,6 +8126,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u092f\u0926\u093f f(x) + 2f(1/x) = 3x, x \u2260 0 \u0939\u0948, \u0924\u0925\u093e S = {x \u2208 R : f(x) = f(\u2212x)} \u0939\u0948; \u0924\u094b S :",
"options": [
"\u090f\u0915 \u0930\u093f\u0915\u094d\u0924 \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948\u0964",
@@ -7739,6 +8146,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "\u03b8 \u0915\u093e \u0935\u0939 \u090f\u0915 \u092e\u093e\u0928 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u090f (2 + 3i sin\u03b8) / (1 \u2212 2i sin\u03b8) \u092a\u0942\u0930\u094d\u0923\u0924\u0903 \u0915\u093e\u0932\u094d\u092a\u0928\u093f\u0915 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u03c0/3",
@@ -7758,6 +8166,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 28,
"question": "x \u0915\u0947 \u0909\u0928 \u0938\u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u091c\u094b \u0938\u092e\u0940\u0915\u0930\u0923 (x\u00b2 \u2212 5x + 5)\u02e3\u00b2 + 4x \u2212 60 = 1 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u0947 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"3",
@@ -7777,6 +8186,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u090f\u0915 \u092a\u093f\u0928-\u0939\u094b\u0932 \u0915\u0948\u092e\u0930\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'L' \u0939\u0948 \u0924\u0925\u093e \u091b\u093f\u0926\u094d\u0930 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e a \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb\u0935\u093e\u0932\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u0938\u093e\u092e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0926\u0940\u0935\u093e\u0930 \u092a\u0930 \u092c\u0928\u0947 \u0938\u094d\u092a\u0949\u091f \u0915\u093e \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u091b\u093f\u0926\u094d\u0930 \u0915\u0947 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0906\u0915\u093e\u0930 \u0924\u0925\u093e \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u0941\u090f \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u0915\u093e \u0915\u0941\u0932 \u092f\u094b\u0917 \u0939\u0948\u0964 \u0907\u0938 \u0938\u094d\u092a\u0949\u091f \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0906\u0915\u093e\u0930 b_min \u0924\u092c \u0939\u094b\u0917\u093e \u091c\u092c :",
"options": [
"a = \u03bb^2/L \u0924\u0925\u093e b_min = (2\u03bb^2/L)",
@@ -7796,6 +8206,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u090f\u0915 \u092b\u094b\u091f\u094b-\u0938\u0947\u0932 \u092a\u0930 \u03bb \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u0906\u092a\u0924\u093f\u0924 \u0939\u0948\u0964 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f 'v' \u0939\u0948\u0964 \u092f\u0926\u093f \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f 3\u03bb/4 \u0939\u094b \u0924\u092c \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0905\u0927\u093f\u0915\u0924\u092e \u0917\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"> v(4/3)^1/2",
@@ -7815,6 +8226,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u0926\u094b \u0930\u0947\u0921\u093f\u092f\u094b\u0927\u0930\u094d\u092e\u0940 \u0924\u0924\u094d\u0935 A \u0924\u0925\u093e B \u0915\u0940 \u0905\u0930\u094d\u0926\u094d\u0927\u093e\u092f\u0941 \u0915\u094d\u0930\u092e\u0936\u0903 20 min \u0924\u0925\u093e 40 min \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0928\u092e\u0942\u0928\u094b\u0902 \u092e\u0947\u0902 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 80 min \u0915\u0947 \u0909\u092a\u0930\u093e\u0902\u0924 A \u0924\u0925\u093e B \u0915\u0947 \u0915\u094d\u0937\u092f \u0939\u0941\u090f \u0928\u093e\u092d\u093f\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"1 : 16",
@@ -7834,6 +8246,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u092f\u0926\u093f A = \\(\\begin{bmatrix} 5a & -b \\\\ 3 & 2 \\end{bmatrix}\\) \u0924\u0925\u093e A adj A = A A\u1d40 \u0939\u0948\u0902, \u0924\u094b 5a + b \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-1",
@@ -7853,6 +8266,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u0930\u0947\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u0932 x + \u03bby - z = 0, \u03bbx - y - z = 0, x + y - \u03bbz = 0 \u0915\u093e \u090f\u0915 \u0905\u0928\u0941\u091b\u0947\u0926 \u0939\u0932 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f :",
"options": [
"\u03bb \u0915\u0947 \u0905\u0928\u0902\u0924 \u092e\u093e\u0928 \u0939\u0948\u0902\u0964",
@@ -7872,6 +8286,7 @@
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
+ "page_num": 29,
"question": "\u0936\u092c\u094d\u0926 SMALL \u0915\u0947 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947, \u092a\u093e\u0901\u091a \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926\u094b\u0902 (\u0905\u0930\u094d\u0925\u092a\u0942\u0930\u094d\u0923 \u0905\u0925\u0935\u093e \u0905\u0930\u094d\u0925\u0939\u0940\u0928) \u0915\u094b \u0936\u092c\u094d\u0926\u0915\u094b\u0936 \u0915\u0947 \u0915\u094d\u0930\u092e\u093e\u0928\u0941\u0938\u093e\u0930 \u0930\u0916\u0928\u0947 \u092a\u0930, \u0936\u092c\u094d\u0926 SMALL \u0915\u093e \u0938\u094d\u0925\u093e\u0928 \u0939\u0948 :",
"options": [
"46 \u0935\u093e\u0902",
@@ -7891,6 +8306,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u090f\u0915 \u0915\u0923 'A' \u0906\u092f\u093e\u092e \u0938\u0947 \u0938\u0930\u0932-\u0906\u0935\u0930\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0905\u092a\u0928\u0947 \u092e\u0942\u0932-\u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \\(\\frac{2A}{3}\\) \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0924\u093e \u0939\u0948 \u0924\u092c \u0905\u091a\u093e\u0928\u0915 \u0907\u0938\u0915\u0940 \u0917\u0924\u093f \u0924\u093f\u0917\u0941\u0928\u0940 \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0924\u092c \u0907\u0938\u0915\u093e \u0928\u092f\u093e \u0906\u092f\u093e\u092e \u0939\u0948 :",
"options": [
"\\(\\frac{A}{3}\\sqrt{41}\\)",
@@ -7910,6 +8326,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "20 m \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0921\u094b\u0930\u0940 \u0915\u094b \u090f\u0915 \u0926\u0943\u0922\u093c \u0906\u0927\u093e\u0930 \u0938\u0947 \u0932\u091f\u0915\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0928\u093f\u091a\u0932\u0947 \u0938\u093f\u0930\u0947 \u0938\u0947 \u090f\u0915 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917-\u0938\u094d\u092a\u0902\u0926 \u091a\u093e\u0932\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u090a\u092a\u0930 \u0906\u0927\u093e\u0930 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u0938\u092e\u092f \u0939\u0948 : (g = 10 ms\\(^{-2}\\) \u0932\u0947\u0902)",
"options": [
"\\(2\\pi\\sqrt{2}\\) s",
@@ -7929,6 +8346,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "lim n\u2192\u221e ((n + 1) (n + 2) ... 3n / n^2n)^(1/n) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"18 / e^4",
@@ -7948,6 +8366,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u0915\u094d\u0937\u0947\u0924\u094d\u0930 {(x, y): y^2 \u2265 2x \u0924\u0925\u093e x^2 + y^2 \u2264 4x, x \u2265 0, y \u2265 0} \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\u03c0 - 4/3",
@@ -7967,6 +8386,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u090f\u0915 \u092d\u093e\u0930\u094b\u0924\u094d\u0924\u094b\u0932\u0915 \u092d\u093e\u0930 \u0915\u094b \u092a\u0939\u0932\u0947 \u090a\u092a\u0930 \u0914\u0930 \u092b\u093f\u0930 \u0928\u0940\u091a\u0947 \u0924\u0915 \u0932\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u093f\u0930\u094d\u092b \u092d\u093e\u0930 \u0915\u094b \u090a\u092a\u0930 \u0932\u0947 \u091c\u093e\u0928\u0947 \u092e\u0947\u0902 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0915\u093e\u0930\u094d\u092f \u0938\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u094d\u0925\u093f\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u0939\u094d\u0930\u093e\u0938 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0936\u0930\u0940\u0930 \u0915\u094b \u0915\u094d\u092f\u093e \u090a\u0930\u094d\u091c\u093e \u0926\u0947\u0924\u0940 \u0939\u0948 \u091c\u094b \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0940 \u0939\u0948\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u0935\u0938\u093e \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u0940 \u0917\u0908 \u090a\u0930\u094d\u091c\u093e 3.8\u00d710^7 J \u092a\u094d\u0930\u0924\u093f kg \u092d\u093e\u0930 \u0939\u0948, \u0924\u0925\u093e \u0907\u0938\u0915\u093e \u092e\u093e\u0924\u094d\u0930 20% \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u093e \u0939\u0948\u0964 \u0905\u092c \u092f\u0926\u093f \u090f\u0915 \u092d\u093e\u0930\u094b\u0924\u094d\u0924\u094b\u0932\u0915 10 kg \u0915\u0947 \u092d\u093e\u0930 \u0915\u094b 1000 \u092c\u093e\u0930 1 m \u0915\u0940 \u090a\u0901\u091a\u093e\u0908 \u0924\u0915 \u090a\u092a\u0930 \u0914\u0930 \u0928\u0940\u091a\u0947 \u0915\u0930\u0924\u093e \u0939\u0948 \u0924\u092c \u0909\u0938\u0915\u0947 \u0936\u0930\u0940\u0930 \u0938\u0947 \u0935\u0938\u093e \u0915\u093e \u0915\u094d\u0937\u092f \u0939\u0948: (g=9.8 ms^\u22122)",
"options": [
"2.45\u00d710^\u22123 kg",
@@ -7986,6 +8406,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u092a\u094d\u0930\u094b\u092a\u0940\u0928 \u0915\u094b HOCl (Cl\u2082 + H\u2082O) \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u091c\u093f\u0938 \u092e\u0927\u094d\u092f\u0935\u0930\u094d\u0924\u0940 \u0938\u0947 \u0939\u094b\u0915\u0930 \u0938\u092e\u094d\u092a\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"CH\u2083 - CH\u207a - CH\u2082 - OH",
@@ -8005,6 +8426,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0939\u0949\u092b\u092e\u0948\u0928 \u092c\u094d\u0930\u094b\u092e\u093e\u092e\u093e\u0907\u0921 \u0928\u093f\u092e\u094d\u0928\u0940\u0915\u0930\u0923 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902, NaOH \u0924\u0925\u093e Br\u2082 \u0915\u0947 \u092a\u094d\u0930\u092f\u0941\u0915\u094d\u0924 \u092e\u094b\u0932\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u094d\u0930\u0924\u093f \u092e\u094b\u0932 \u0905\u092e\u0940\u0928 \u0915\u0947 \u092c\u0928\u0928\u0947 \u092e\u0947\u0902 \u0939\u094b\u0917\u0940 :",
"options": [
"\u090f\u0915 \u092e\u094b\u0932 NaOH \u0924\u0925\u093e \u090f\u0915 \u092e\u094b\u0932 Br\u2082\u0964",
@@ -8024,6 +8446,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 26,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0918\u0928\u0924\u094d\u0935 \u0915\u0947 \u092a\u0949\u0932\u0940\u0925\u0940\u0928 \u0915\u0947 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0907\u0938\u0915\u0947 \u0938\u0902\u0936\u094d\u0932\u0947\u0937\u0923 \u092e\u0947\u0902 \u0909\u091a\u094d\u091a \u0926\u093e\u092c \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964",
@@ -8043,6 +8466,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0905\u091a\u0930 \u0938\u092e\u093e\u0902\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0926\u0942\u0938\u0930\u093e, 5 \u0935\u093e\u0902 \u0924\u0925\u093e 9 \u0935\u093e\u0902 \u092a\u0926 \u090f\u0915 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0924\u094b \u0909\u0938 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u093e \u0938\u093e\u0930\u094d\u0925 \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u0948 :",
"options": [
"\\(\\frac{8}{5}\\)",
@@ -8062,6 +8486,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 10,
"question": "\u0926\u094b \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u093e\u0930 A \u0935 B \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 'l', \u092e\u0947\u0902 \u0938\u092e\u093e\u0928 \u0927\u093e\u0930\u093e I \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u0948\u0964 A \u0915\u094b \u092e\u094b\u0921\u093c\u0915\u0930 R \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0914\u0930 B \u0915\u094b \u092e\u094b\u0921\u093c\u0915\u0930 \u092d\u0941\u091c\u093e 'a' \u0915\u093e \u090f\u0915 \u0935\u0930\u094d\u0917 \u092c\u0928\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f B_A \u0924\u0925\u093e B_B \u0915\u094d\u0930\u092e\u0936\u0903 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0924\u0925\u093e \u0935\u0930\u094d\u0917 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0939\u0948\u0902, \u0924\u092c \u0905\u0928\u0941\u092a\u093e\u0924 B_A/B_B \u0939\u094b\u0917\u093e :",
"options": [
"\u03c0\u00b2/8",
@@ -8081,6 +8506,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u0924\u093e\u0901\u092c\u093e \u0924\u0925\u093e \u0905\u092e\u093e\u092a\u093f\u0924 (undoped) \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u094b \u0909\u0928\u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e, 300-400 K \u0924\u093e\u092a\u092e\u093e\u0928 \u0905\u0902\u0924\u0930\u093e\u0932 \u092e\u0947\u0902, \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0924\u093e\u0901\u092c\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935 \u0924\u0925\u093e \u0938\u093f\u0932\u093f\u0915\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0930\u0947\u0916\u0940\u092f \u092c\u095d\u093e\u0935\u0964",
@@ -8100,6 +8526,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u090f\u0915 \u0906\u0930\u094d\u0915 \u0932\u0948\u092e\u094d\u092a \u0915\u094b \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 80 V \u092a\u0930 10 A \u0915\u0940 \u0926\u093f\u0937\u094d\u091f \u0927\u093e\u0930\u093e (DC) \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0909\u0938\u0940 \u0906\u0930\u094d\u0915 \u0915\u094b 220 V (rms) 50 Hz \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0940 \u0927\u093e\u0930\u093e (AC) \u0938\u0947 \u091a\u0932\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0932\u0917\u093e\u0928\u0947 \u0935\u093e\u0932\u093e \u092a\u094d\u0930\u0947\u0930\u0915\u0924\u094d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"80 H",
@@ -8119,6 +8546,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0924\u093f \u0915\u094d\u0935\u093e\u0902\u091f\u092e \u0935\u0948\u0926\u094d\u092f\u0941\u0924-\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0935\u093f\u0915\u093f\u0930\u0923\u094b\u0902 \u0915\u094b \u0909\u0928\u0915\u0940 \u090a\u0930\u094d\u091c\u093e \u0915\u0947 \u092c\u095d\u0924\u0947 \u0939\u0941\u090f \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u0947\u0902 :",
"options": [
"D, B, A, C",
@@ -8138,6 +8566,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u0926\u0942\u0930 \u0938\u094d\u0925\u093f\u0924 10 m \u090a\u0901\u091a\u0947 \u092a\u0947\u095c \u0915\u094b \u090f\u0915 20 \u0906\u0935\u0930\u094d\u0927\u0928 \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093e\u0932\u0947 \u091f\u0947\u0932\u093f\u0938\u094d\u0915\u094b\u092a \u0938\u0947 \u0926\u0947\u0916\u0928\u0947 \u092a\u0930 \u0915\u094d\u092f\u093e \u092e\u0939\u0938\u0942\u0938 \u0939\u094b\u0917\u093e ?",
"options": [
"\u092a\u0947\u095c 10 \u0917\u0941\u0928\u093e \u090a\u0901\u091a\u093e \u0939\u0948\u0964",
@@ -8157,6 +8586,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u092e\u093e\u0928 p = lim (1 + tan\u00b2\u221ax)\u00b9/\u00b2x \u0939\u0948, \u0924\u094b log p \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
@@ -8176,6 +8606,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "x \u2208 R \u0915\u0947 \u0932\u093f\u090f f(x) = |log2 - sinx| \u0924\u0925\u093e g(x) = f(f(x)) \u0939\u0948\u0902, \u0924\u094b :",
"options": [
"x = 0 \u092a\u0930 g \u0905\u0935\u0915\u0932\u0928\u0940\u092f \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
@@ -8195,6 +8626,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "f(x) = tan\u207b\u00b9[(1 + sinx)/(1 - sinx)], x \u2208 (0, \u03c0/2) \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f\u0964 y = f(x) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 x = \u03c0/6 \u092a\u0930 \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0928\u093f\u092e\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092d\u0940 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"(0, 0)",
@@ -8214,6 +8646,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0925\u093e\u092f\u094b\u0932 \u0917\u094d\u0930\u0941\u092a \u091c\u093f\u0938\u092e\u0947\u0902 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0938\u093e\u0907\u091f\u094b\u0938\u093f\u0928",
@@ -8233,6 +8666,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u090f\u0928\u093e\u092f\u0928\u093f\u0915 \u0921\u093f\u091f\u0930\u094d\u091c\u0947\u0902\u091f \u0939\u0948 ?",
"options": [
"\u0938\u094b\u0921\u093f\u092f\u092e \u0938\u094d\u091f\u0940\u092f\u0930\u0947\u091f",
@@ -8252,6 +8686,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 5,
"question": "\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0938\u0924\u0939 \u0938\u0947 'h' \u090a\u0901\u091a\u093e\u0908 \u092a\u0930 \u090f\u0915 \u0909\u092a\u0917\u094d\u0930\u0939 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u092a\u0925 \u092a\u0930 \u0918\u0942\u092e\u0915\u0930 \u0915\u0915\u094d\u0937 \u092e\u0947\u0902 \u0939\u0948 (\u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0924\u0925\u093e h< H\u2082SO\u2084 > H\u2082S\u2082O\u2087",
@@ -8841,6 +9306,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 7,
"question": "[Co\u2082(CO)\u2088] \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 Co-Co \u0906\u092c\u0928\u094d\u0927, \u091b\u0939 \u091f\u0930\u094d\u092e\u093f\u0928\u0932 CO \u0924\u0925\u093e \u0926\u094b \u0938\u0947\u0924\u0941\u092c\u0902\u0927 CO",
@@ -8860,6 +9326,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 6,
"question": "\u0935\u0939 \u0938\u092e\u0942\u0939 \u091c\u093f\u0938\u092e\u0947\u0902 \u0924\u094d\u0930\u093f\u0915\u094b\u0923 \u0938\u092e\u0924\u0932 \u0938\u0902\u0930\u091a\u0928\u093e\u0935\u093e\u0932\u0947 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"BF\u2083, NF\u2083, CO\u2083\u00b2\u207b",
@@ -8879,6 +9346,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 6,
"question": "XeF\u2086 \u091c\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0906\u0902\u0936\u093f\u0915 \u091c\u0932-\u0905\u0935\u0915\u0930\u0923 \u0915\u0930\u0928\u0947 \u092a\u0930, \u090f\u0915 \u092f\u094c\u0917\u093f\u0915 'X' \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u092f\u0939\u0940 \u092f\u094c\u0917\u093f\u0915 'X' \u0924\u092c \u092c\u0928\u0924\u093e \u0939\u0948 \u091c\u092c XeF\u2086 \u0938\u093f\u0932\u093f\u0915\u093e \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u094c\u0917\u093f\u0915 'X' \u0939\u0948 :",
"options": [
"XeF\u2082",
@@ -8898,6 +9366,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 6,
"question": "\u092a\u093e\u092f\u0930\u093e\u092b\u0949\u0938\u094d\u092b\u094b\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 (H\u2084P\u2082O\u2087) \u092e\u0947\u0902 P\u2212OH \u0906\u0935\u0902\u0927\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0924\u0925\u093e \u092b\u0949\u0938\u094d\u092b\u094b\u0930\u0938 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"\u091a\u093e\u0930 \u0924\u0925\u093e \u091a\u093e\u0930",
@@ -8917,6 +9386,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 1,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0938\u094d\u0925\u093f\u0930 \u0926\u093e\u092c \u092a\u0930 \u0938\u092e\u0924\u093e\u092a\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930\u0923 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 :",
"options": [
"\u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u092c\u0922\u093c\u0924\u0940 \u0939\u0948 \u092a\u0930\u0928\u094d\u0924\u0941 \u090f\u0902\u091f\u094d\u0930\u0949\u092a\u0940 \u0918\u091f\u0924\u0940 \u0939\u0948\u0964",
@@ -8936,6 +9406,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 1,
"question": "0.2 M \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 50 mL \u0915\u094b 0.2 M HCl \u0915\u0947 25 mL \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092e\u094b\u0928\u093f\u092f\u093e \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 pK_b \u0915\u093e \u092e\u093e\u0928 4.75 \u0939\u094b \u0924\u094b \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u093e pH \u0939\u094b\u0917\u093e :",
"options": [
"3.75",
@@ -8955,6 +9426,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 1,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0909\u091a\u094d\u091a\u0924\u0930 \u0911\u0930\u094d\u092c\u093f\u091f\u0932 \u0938\u0947 211.6 pm \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u093e\u0932\u0947 \u0911\u0930\u094d\u092c\u093f\u091f\u0932 \u0924\u0915 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0938\u0902\u0915\u094d\u0930\u092e\u0923 \u0915\u093e \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0932\u093e\u0907\u092e\u0948\u0928 \u0936\u094d\u0930\u0947\u0923\u0940",
@@ -8974,6 +9446,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0917\u0932\u0924 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u03b1-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0924\u0925\u093e \u03b2-D-\u0917\u094d\u0932\u0942\u0915\u094b\u091c \u0910\u0928\u094b\u092e\u0930 \u0939\u0948\u0902\u0964",
@@ -8993,6 +9466,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 1,
"question": "\u092b\u0932\u0928 f : N \u2192 N, f(x) = x - 5 \u230ax/5\u230b \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948, \u091c\u0939\u093e\u0901 N, \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0941\u091a\u094d\u091a\u092f \u0939\u0948 \u0924\u0925\u093e \u230ax\u230b, x \u0938\u0947 \u0915\u092e \u092f\u093e \u0909\u0938\u0915\u0947 \u0938\u092e\u093e\u0928 \u092e\u0939\u0924\u094d\u0924\u092e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948, \u091c\u094b :",
"options": [
"\u090f\u0915\u0947\u0915\u0924\u093e \u0924\u0925\u093e \u0906\u0915\u094d\u0930\u093f\u092f \u0939\u0948\u0964",
@@ -9012,6 +9486,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 1,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 2(x-1)(x\u00b2+5x-50) = 1 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0947 x \u0915\u0947 \u0938\u092d\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"16",
@@ -9031,6 +9506,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 1,
"question": "\u0938\u092e\u0940\u0915\u0930\u0923 Im(iz-2/z-i) + 1 = 0, z \u2208 C, z \u2260 i \u0909\u0938 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u090f\u0915 \u092d\u093e\u0917 \u0915\u094b \u0928\u093f\u0930\u0942\u092a\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"2",
@@ -9050,6 +9526,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u0938\u092e\u0940\u0915\u0931\u0923 sin[cot\u207b\u00b9(1 + x)] = cos[tan\u207b\u00b9x] \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u093e x \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"- 1/2",
@@ -9069,6 +9546,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u090f\u0915 \u091a\u0915\u094d\u0930\u0940\u092f-\u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u0940 \u0926\u094b \u0938\u0902\u0932\u0917\u094d\u0928 \u092d\u0941\u091c\u093e\u090f\u0901 2 \u0924\u0925\u093e 5 \u0939\u0948\u0902 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 60\u00b0 \u0939\u0948 \u0964 \u092f\u0926\u093f \u0907\u0938 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 4\u221a3 \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u093e \u092a\u0930\u093f\u092e\u093e\u092a \u0939\u0948 :",
"options": [
"12.5",
@@ -9088,6 +9566,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u0935\u0915\u094d\u0930 y=f(x) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P(x, y) \u092a\u0930 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e x-\u0905\u0915\u094d\u0937 \u0915\u094b A \u092a\u0930 \u0924\u0925\u093e y-\u0905\u0915\u094d\u0937 \u0915\u094b B \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f AP : BP=1 : 3 \u0924\u0925\u093e f(1)=1 \u0939\u0948, \u0924\u094b \u0935\u0915\u094d\u0930 \u0928\u093f\u092e\u094d\u0928 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u092d\u0940 \u0939\u094b \u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 :",
"options": [
"\\( \\left( \\frac{1}{3}, 24 \\right) \\)",
@@ -9107,6 +9586,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u090f\u0915 \u0935\u0930\u094d\u0917, \u091c\u093f\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092d\u0941\u091c\u093e 2 \u0939\u0948, x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u090a\u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u090f\u0915 \u0936\u0940\u0930\u094d\u0937 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0941\u0908 \u090f\u0915 \u092d\u0941\u091c\u093e, x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0926\u093f\u0936\u093e \u0938\u0947 30\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u0940 \u0939\u0948, \u0924\u094b \u0935\u0930\u094d\u0917 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0939\u0948 :",
"options": [
"\\( 2\\sqrt{3} - 1 \\)",
@@ -9126,6 +9606,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 13,
"question": "\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964",
"options": [
"\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902\u0964",
@@ -9145,6 +9626,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u090f\u0915 \u091a\u0930 \u0938\u092e\u0924\u0932, \u091c\u093f\u0938\u0915\u093e \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 3 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u094b A, B \u0924\u0925\u093e C \u092a\u0930 \u0915\u093e\u091f\u0924\u093e \u0939\u0948, \u0924\u094b \u0394ABC \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930\u0915 \u0915\u093e \u092c\u093f\u0902\u0926\u0941\u092a\u0925 \u0939\u0948 :",
"options": [
"\\(\\frac{1}{x^2} + \\frac{1}{y^2} + \\frac{1}{z^2} = 1\\)",
@@ -9164,6 +9646,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u092f\u0926\u093f \u0930\u0947\u0916\u093e, \\(\\frac{x-3}{1} = \\frac{y+2}{-1} = \\frac{z+\u03bb}{-2}\\), \u0938\u092e\u0924\u0932 \\(2x-4y+3z=2\\) \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b \u0907\u0938 \u0930\u0947\u0916\u093e \u0924\u0925\u093e \u0930\u0947\u0916\u093e \\(\\frac{x-1}{12} = \\frac{y}{9} = \\frac{z}{4}\\) \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"2",
@@ -9183,6 +9666,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "\u092f\u0926\u093f \u0938\u0926\u093f\u0936 b = 3j + 4k \u0915\u094b \u0938\u0926\u093f\u0936 a = i + j \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0938\u0926\u093f\u0936 b1 \u0924\u0925\u093e \u0938\u0926\u093f\u0936 a \u0915\u0947 \u0932\u0902\u092c\u0935\u0924 \u0938\u0926\u093f\u0936 b2 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916\u093e \u091c\u093e\u090f, \u0924\u094b b1 \u00d7 b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-3i + 3j - 9k",
@@ -9202,6 +9686,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "10 \u092a\u0941\u0930\u0941\u0937 \u0924\u0925\u093e 5 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0947 \u090f\u0915 \u0938\u092e\u0942\u0939 \u092e\u0947\u0902 \u0938\u0947 \u091a\u093e\u0930 \u0938\u0926\u0938\u094d\u092f\u094b\u0902 \u0915\u0940 \u0910\u0938\u0940 \u0938\u092e\u093f\u0924\u093f\u092f\u093e\u0902 \u092c\u0928\u093e\u0928\u0940 \u0939\u0948 \u091c\u093f\u0928\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u092e\u0939\u093f\u0932\u093e \u0905\u0935\u0936\u094d\u092f \u0939\u094b\u0964 \u0907\u0928 \u0938\u092e\u093f\u0924\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"21/220",
@@ -9221,6 +9706,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "f(x) = x\u00b3 - 3x\u00b2 + 5x + 7 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u092b\u0932\u0928 f :",
"options": [
"R \u092e\u0947\u0902 \u0935\u0930\u094d\u0927\u092e\u093e\u0928 \u0939\u0948\u0964",
@@ -9240,6 +9726,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u090f\u0915 \u092c\u0939\u0941\u092a\u0926 \u092b\u0932\u0928 f \u0910\u0938\u093e \u0939\u0948 \u0915\u093f \u0938\u092d\u0940 x \u2208 R \u0915\u0947 \u0932\u093f\u090f f(3x) = f'(x) \u22c5 f''(x) \u0939\u0948, \u0924\u094b :",
"options": [
"f(2) + f'(2) = 28",
@@ -9259,6 +9746,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092f\u0926\u093f \u222b(3x - 4)/(3x + 4) dx = x + 2, x \u2260 -4/3 \u0924\u0925\u093e \u222bf(x) dx = A log|1 - x| + Bx + C \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (A, B) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(8/3, 2/3)",
@@ -9278,6 +9766,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "\u092f\u0926\u093f 2x = y^(1/5) + y^(-1/5) \u0924\u0925\u093e\n(x^2 - 1) d^2y/dx^2 + \u03bbx dy/dx + ky = 0 \u0939\u0948, \u0924\u094b \u03bb + k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-23",
@@ -9297,6 +9786,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u092e\u093e\u0928\u093e E \u0924\u0925\u093e F \u0926\u094b \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0918\u091f\u0928\u093e\u090f\u0901 \u0939\u0948\u0902\u0964 E \u0924\u0925\u093e F \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u0918\u091f\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \\(\\frac{1}{12}\\) \u0939\u0948 \u0924\u0925\u093e \u0928 E \u0914\u0930 \u0928 \u0939\u0940 F \u0915\u0947 \u0918\u091f\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \\(\\frac{1}{2}\\) \u0939\u0948, \u0924\u094b \\(\\frac{P(E)}{P(F)}\\) \u0915\u093e \u090f\u0915 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"\\(\\frac{4}{3}\\)",
@@ -9316,6 +9806,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "100 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 \u0915\u094d\u0930\u092e\u0936\u0903 400 \u0924\u0925\u093e 2475 \u0939\u0948\u0964 \u092c\u093e\u0926 \u092e\u0947\u0902 \u0924\u0940\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923 3, 4 \u0924\u0925\u093e 5 \u0917\u0932\u0924 \u092a\u093e\u090f \u0917\u090f\u0964 \u092f\u0926\u093f \u0917\u0932\u0924 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u0939\u091f\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0936\u0947\u0937 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"8.25",
@@ -9335,6 +9826,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941 P(4, 7) \u0938\u0947 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u090f\u0915 \u0930\u0947\u0916\u093e, \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 9 \u0915\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A \u0924\u0925\u093e B \u092a\u0930 \u0915\u093e\u091f\u0924\u0940 \u0939\u0948, \u0924\u094b PA\u00b7PB \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"53",
@@ -9354,6 +9846,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0939\u0948, \u0905\u0915\u094d\u0937 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0905\u0915\u094d\u0937 \u0939\u0948\u0902 \u0924\u0925\u093e \u091c\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 (4, -1) \u0924\u0925\u093e (-2, 2) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0902\u0926\u094d\u0930\u0924\u093e (eccentricity) \u0939\u0948 :",
"options": [
"1/2",
@@ -9373,6 +9866,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u092f\u0926\u093f y = mx + c \u092a\u0930\u0935\u0932\u092f y\u00b2 = 8x \u0915\u0947 \u0909\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0905\u092d\u093f\u0932\u0902\u092c \u0939\u0948 \u091c\u093f\u0938\u0915\u0940 \u0928\u093e\u092d\u093f \u0938\u0947 \u0926\u0942\u0930\u0940 8 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0924\u094b |c| \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2\u221a3",
@@ -9392,6 +9886,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u091c\u0939\u093e\u0901 x \u2260 0, 1, \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0935\u093f\u0938\u094d\u0924\u093e\u0930 \u092e\u0947\u0902 x\u207b\u2075 \u0915\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0939\u0948 :",
"options": [
"1",
@@ -9411,6 +9906,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092f\u0926\u093f \u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 a, b \u0924\u0925\u093e c \u0938\u092e\u093e\u0902\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902 \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f abc = 8 \u0939\u0948, \u0924\u094b b \u0915\u093e \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0938\u0902\u092d\u0935 \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2",
@@ -9430,6 +9926,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092e\u093e\u0928\u093e S\u2099 = 1/1\u00b3 + 1 + 2/1\u00b3 + 2\u00b3 + 1 + 2 + 3/1\u00b3 + 2\u00b3 + 3\u00b3 + ....... + 1 + 2 + ....... + n/1\u00b3 + 2\u00b3 + ....... + n\u00b3. \u092f\u0926\u093f 100 S\u2099 = n \u0939\u0948, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"199",
@@ -9449,6 +9946,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u0926\u094b 3 \u00d7 3 \u0906\u0935\u094d\u092f\u0942\u0939 A \u0924\u0925\u093e B \u0915\u0947 \u0932\u093f\u090f \u092e\u093e\u0928\u093e A + B = 2B' \u0924\u0925\u093e 3A + 2B = I\u2083 \u0939\u0948, \u091c\u0939\u093e\u0901 B' \u0906\u0935\u094d\u092f\u0942\u0939 B \u0915\u093e \u092a\u093e\u0930\u093f\u0935\u0930\u094d\u0924 \u0939\u0948 \u0924\u0925\u093e I\u2083 \u090f\u0915 3 \u00d7 3 \u0924\u093e\u0924\u094d\u0924\u094d\u0935\u093f\u0915 \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948, \u0924\u094b :",
"options": [
"5A + 10B = 2I\u2083",
@@ -9468,6 +9966,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u092f\u0926\u093f x = a, y = b, z = c \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f x + 8y + 7z = 0 9x + 2y + 3z = 0 x + y + z = 0 \u0915\u093e \u090f\u0915 \u0910\u0938\u093e \u0939\u0932 \u0939\u0948 \u0915\u093f \u092c\u093f\u0902\u0926\u0941 (a, b, c) \u0938\u092e\u0924\u0932 x + 2y + z = 6 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b 2a + b + c \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u22121",
@@ -9487,6 +9986,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u090f\u0915 \u0926\u094d\u0935\u093f\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 N \u092e\u094b\u0932 T \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0938\u093f\u0932\u0947\u0902\u0921\u0930 \u092e\u0947\u0902 \u092c\u0902\u0926 \u0939\u0948\u0964 \u0938\u093f\u0932\u0947\u0902\u0921\u0930 \u092e\u0947\u0902 \u090a\u0937\u094d\u092e\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0909\u0938 \u0926\u094d\u0935\u093f\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u0915\u0947 n \u092e\u094b\u0932 \u090f\u0915\u092a\u0930\u092e\u093e\u0923\u0941\u0915 \u0917\u0948\u0938 \u092e\u0947\u0902 \u092c\u093f\u0928\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u092c\u0926\u0932\u0947 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0917\u0948\u0938 \u0915\u0940 \u0915\u0941\u0932 \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e ?",
"options": [
"\\(\\frac{1}{2}\\) nRT",
@@ -9506,6 +10006,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "0.1 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u090f\u0915 \u0917\u0941\u091f\u0915\u0947 \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917, \u091c\u093f\u0938\u0915\u093e \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 640 Nm\\(^{-1}\\) \u0939\u0948, \u0938\u0947 \u091c\u094b\u0921\u093c\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092f\u0939 \u0917\u0941\u091f\u0915\u093e \u090f\u0915 \u0905\u092a\u0935\u092e\u093f\u0924 \u092e\u093e\u0927\u094d\u092f\u092e, \u091c\u093f\u0938\u0915\u093e \u0905\u092a\u0935\u092e\u093f\u0924 \u0917\u0941\u0923\u093e\u0902\u0915 \\(10^{-2}\\) kg s\\(^{-1}\\) \u0939\u0948, \u092e\u0947\u0902 \u0926\u094b\u0932\u0928 \u0917\u0924\u093f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0928\u093f\u0915\u093e\u092f \u0927\u0940\u0930\u0947-\u0927\u0940\u0930\u0947 \u0905\u092a\u0928\u0940 \u090a\u0930\u094d\u091c\u093e \u0905\u092a\u0935\u092e\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u0915\u093e\u092f \u0915\u0947 \u0926\u094b\u0932\u0928 \u0915\u0940 \u092f\u093e\u0902\u0924\u094d\u0930\u093f\u0915 \u090a\u0930\u094d\u091c\u093e \u0915\u094b \u0909\u0938\u0915\u0947 \u0906\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0928 \u0938\u0947 \u0906\u0927\u093e \u0939\u094b\u0928\u0947 \u092e\u0947\u0902 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092e\u092f \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"2 s",
@@ -9525,6 +10026,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u0932\u092e\u094d\u092c\u093e\u0908 l \u0924\u0925\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r \u0915\u0947 \u090f\u0915\u0938\u092e\u093e\u0928 \u0924\u093e\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 100 \u03a9 \u0939\u0948\u0964 \u0907\u0938\u0915\u094b \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r/2 \u0915\u0947 \u0924\u093e\u0930 \u092e\u0947\u0902 \u092a\u0941\u0928\u0903 \u0922\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u092f\u0947 \u0924\u093e\u0930 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0939\u094b\u0917\u093e:",
"options": [
"1600 \u03a9",
@@ -9544,6 +10046,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936, \u090f\u0915 \u0938\u0940\u0927\u0940 \u0932\u092e\u094d\u092c\u0947 \u0924\u093e\u0930, \u091c\u093f\u0938\u092e\u0947\u0902 \u0927\u093e\u0930\u093e \u092c\u0939 \u0930\u0939\u0940 \u0939\u0948, \u0915\u0947 \u0928\u093f\u0915\u091f \u091a\u0932 \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936 \u092a\u0930 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u093e \u092c\u0932 \u0927\u093e\u0930\u093e \u0915\u0940 \u0926\u093f\u0936\u093e \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0939\u0948\u0964 \u0906\u0935\u0947\u0936 \u0915\u0940 \u0917\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"\u0924\u093e\u0930 \u0938\u0947 \u0926\u0942\u0930",
@@ -9563,6 +10066,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 18,
"question": "\u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u03bb \u0915\u0940 \u0924\u0930\u0902\u0917 \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0938\u0902\u0926\u0947\u0936 \u0915\u094b \u090f\u0915 \u0910\u0915\u0930\u0947\u0916\u0940\u092f \u090f\u0902\u091f\u0940\u0928\u093e \u0938\u0947 \u092a\u094d\u0930\u0938\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964 \u090f\u0902\u091f\u0940\u0928\u093e \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 l \u0924\u0925\u093e \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u0936\u0915\u094d\u0924\u093f Peff \u0915\u093e \u0915\u094d\u0930\u092e\u0936\u0903 \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (K \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 (constant of proportionality) \u0939\u0948)",
"options": [
"\u03bb, Peff = K (1/\u03bb)^2",
@@ -9582,6 +10086,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "283 V \u0936\u093f\u0916\u0930 \u0935\u093f\u092d\u0935 \u0924\u0925\u093e 320 s\u207b\u00b9 \u0915\u094b\u0923\u0940\u092f \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0935\u093e\u0932\u0947 \u090f\u0915 \u091c\u091f\u093f\u0932\u0924\u0930\u0902\u0917 \u0935\u093f\u092d\u0935 \u0915\u094b \u090f\u0915 \u0936\u094d\u0930\u0947\u0923\u0940 LCR \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0926\u093f\u092f\u093e \u0939\u0948 R = 5 \u03a9, L = 25 mH \u0914\u0930 C = 1000 \u03bcF\u0964 \u092a\u0930\u093f\u092a\u0925 \u0915\u0940 \u0915\u0941\u0932 \u092a\u094d\u0930\u0924\u093f\u092c\u093e\u0927\u093e \u0924\u0925\u093e \u0938\u094d\u0930\u094b\u0924 \u0935\u093f\u092d\u0935 \u090f\u0935\u0902 \u0927\u093e\u0930\u093e \u0915\u0947 \u092c\u0940\u091a \u0915\u0932\u093e\u0902\u0924\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u094b\u0917\u093e :",
"options": [
"10 \u03a9 \u0914\u0930 tan\u207b\u00b9(5/3)",
@@ -9601,6 +10106,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0915\u093f\u0938\u0940 \u090f\u0915\u0930\u0902\u0917\u0940 \u0935\u093f\u0915\u093f\u0930\u0923 \u0915\u0947 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0918\u091f\u0915 \u0915\u094b \u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0938\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948 E = 2 E\u2080 cos kz cos \u03c9t \u0909\u0938\u0915\u0947 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 B \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"2 E\u2080/c sin kz cos \u03c9t",
@@ -9620,6 +10126,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u090f\u0915 \u092d\u094c\u0924\u093f\u0915 \u0930\u093e\u0936\u093f P \u0928\u093f\u092e\u094d\u0928 \u0938\u0902\u092c\u0902\u0927 \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964\n\\[ P = a^{1/2} b^2 c^3 d^{-4} \\]\n\u092f\u0926\u093f a, b, c \u0914\u0930 d \u0915\u0947 \u092e\u093e\u092a\u0928 \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0924\u094d\u0930\u0941\u091f\u093f \u0915\u094d\u0930\u092e\u0936\u0903 2%, 1%, 3% \u0914\u0930 5% \u0939\u094b \u0924\u094b P \u092e\u0947\u0902 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0924\u094d\u0930\u0941\u091f\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"8%",
@@ -9639,6 +10146,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u090f\u0915 \u0915\u093e\u0930 \u090f\u0915 \u0916\u0921\u093c\u0940 \u0939\u0941\u0908 \u092c\u0938 \u0938\u0947 200 m \u092a\u0940\u091b\u0947 \u0916\u0921\u093c\u0940 \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u090f\u0915 \u0939\u0940 \u0915\u094d\u0937\u0923 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0905\u0917\u094d\u0930\u0935\u0930\u094d\u0924\u0940 \u0924\u094d\u0935\u0930\u0923 \u0938\u0947 \u091a\u0932\u0928\u093e \u0936\u0941\u0930\u0942 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092c\u0938 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 2 m/s\u00b2 \u0924\u0925\u093e \u0915\u093e\u0930 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 4 m/s\u00b2 \u0939\u0948\u0964 \u0915\u093f\u0924\u0928\u0947 \u0938\u092e\u092f \u092c\u093e\u0926 \u092f\u0939 \u0915\u093e\u0930 \u092c\u0938 \u0924\u0915 \u092a\u0939\u0941\u0901\u091a\u0947\u0917\u0940 ?",
"options": [
"\\(\\sqrt{110}\\) s",
@@ -9658,6 +10166,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 20,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, 1 m \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u0940 \u090f\u0915 \u0938\u0930\u0932 \u0932\u094b\u0932\u0915 \u0915\u093e \u0906\u0935\u0930\u094d\u0924 \u0915\u093e\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0939\u0947\u0924\u0941 \u0909\u0938\u0915\u094b r\u2081 \u0924\u0925\u093e r\u2082 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u0905\u0932\u0917-\u0905\u0932\u0917 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0932\u094b\u0932\u0915\u094b\u0902 \u0938\u0947 \u091c\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0917\u094b\u0932\u093e\u0915\u093e\u0930 \u0932\u094b\u0932\u0915\u094b\u0902 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u0923 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u0935\u0930\u094d\u0924\u0915\u093e\u0932\u094b\u0902 \u0915\u093e \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u0902\u0924\u0930 5 \u00d7 10\u207b\u2074 s \u092a\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u094b \u0924\u094b \u0909\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u0913\u0902 \u092e\u0947\u0902 \u0905\u0928\u094d\u0924\u0930, |r\u2081 \u2013 r\u2082| \u0915\u093e \u0928\u093f\u0915\u091f\u0924\u092e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"1 cm",
@@ -9677,6 +10186,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0947 \u0926\u094c\u0930\u093e\u0928, 15 cm \u092b\u094b\u0915\u0932 \u0926\u0942\u0930\u0940 \u0915\u0947 \u090f\u0915 \u0909\u0924\u094d\u0924\u0932 \u0932\u0947\u0928\u094d\u0938 \u0915\u094b \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936\u0940\u092f \u092c\u0947\u0902\u091a \u092a\u0930 \u090f\u0915 \u0909\u0924\u094d\u0924\u0932 \u0926\u0930\u094d\u092a\u0923 \u0915\u0947 \u0938\u093e\u092e\u0928\u0947 5 cm \u0926\u0942\u0930 \u0938\u092e\u093e\u0915\u094d\u0937\u0940\u092f \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u0938\u094d\u0924\u0941 \u090f\u0935\u0902 \u0909\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0938\u0902\u092f\u094b\u0917\u0940 \u0939\u094b \u091c\u093e\u0924\u0947 \u0939\u0948\u0902 \u091c\u092c \u0935\u0938\u094d\u0924\u0941 \u0924\u0925\u093e \u0909\u0938\u0915\u093e \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u092e\u094d\u092c \u0938\u092e\u093e\u0928 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u0924\u094d\u0924\u0932 \u0926\u0930\u094d\u092a\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"27.5 cm",
@@ -9696,6 +10206,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "0.1 mm \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u0940 \u090f\u0915 \u092b\u093e\u0902\u0915 6000 \u00c5 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0947 \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0915\u093f\u0930\u0923 \u092a\u0941\u0902\u091c \u0938\u0947 \u092a\u094d\u0930\u0915\u093e\u0936\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0935\u093f\u0935\u0930\u094d\u0924\u0928 \u092c\u0948\u0902\u0921 \u0915\u093e \u091a\u093f\u0924\u094d\u0930 0.5 m \u0926\u0942\u0930 \u0938\u094d\u0915\u094d\u0930\u0940\u0928 \u092a\u0930 \u0926\u0947\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0943\u0924\u0940\u092f \u0905\u0902\u0927\u0915\u093e\u0930 \u092c\u0948\u0902\u0921 \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0926\u0940\u092a\u094d\u0924 \u092c\u0948\u0902\u0921 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"3 mm",
@@ -9715,6 +10226,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "660 nm \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0940 \u090f\u0915 \u0932\u0947\u091c\u0930 \u0932\u093e\u0907\u091f \u0915\u094b \u0930\u0947\u091f\u093f\u0928\u093e \u0935\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u0915\u094b \u091c\u094b\u0921\u093c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f 60 ms \u091a\u094c\u0921\u093c\u093e\u0908 \u090f\u0935\u0902 0.5 kW \u0936\u0915\u094d\u0924\u093f \u0915\u0947 \u0932\u0947\u091c\u0930 \u0938\u094d\u092a\u0928\u094d\u0926 (pulse) \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u092f\u0947 \u0924\u094b \u0909\u0938 \u0938\u094d\u092a\u0928\u094d\u0926 \u092e\u0947\u0902 \u092b\u094b\u091f\u0949\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0932\u0917\u092d\u0917 \u0939\u094b\u0917\u0940 : [\u092a\u094d\u0932\u093e\u0902\u0915 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 h = 6.62 x 10\u207b\u00b3\u2074 Js]",
"options": [
"10\u00b2\u2070",
@@ -9734,6 +10246,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u092a\u094d\u0930\u0925\u092e \u0915\u0915\u094d\u0937\u093e (n = 1) \u0915\u0947 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u093e \u0924\u094d\u0935\u0930\u0923 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{h^2}{\u03c0^2m^2r^3}\\)",
@@ -9753,6 +10266,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0940\u091c\u093f\u090f, \u090f\u0915 \u092d\u091f\u094d\u091f\u0940, \u091c\u094b\u0915\u093f \u0926\u093f\u090f \u0917\u090f \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u094b \u090a\u0930\u094d\u091c\u093e \u092e\u0947\u0902 \u092c\u0926\u0932\u0924\u0940 \u0939\u0948 \u090f\u0935\u0902 10^9 watt \u0915\u0940 \u0936\u0915\u094d\u0924\u093f \u0938\u094d\u0924\u0930 \u092a\u0930 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964 \u092d\u091f\u094d\u091f\u0940 \u092e\u0947\u0902 \u090f\u0915 \u0918\u0902\u091f\u0947 \u092e\u0947\u0902 \u0916\u0930\u094d\u091a \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0908\u0902\u0927\u0928 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"0.96 gm",
@@ -9772,6 +10286,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u090f\u0915 \u0909\u092a\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u092a\u094d\u0930\u0935\u0930\u094d\u0927\u0915 \u0915\u093e \u0927\u093e\u0930\u093e \u0932\u093e\u092d 69 \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928 7.0 mA \u0939\u094b \u0924\u094b \u0938\u0902\u0917\u094d\u0930\u093e\u0939\u0915 \u0927\u093e\u0930\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"9.6 mA",
@@ -9791,6 +10306,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0926\u094b \u0928\u0932\u093f\u0915\u093e\u090f\u0901 \u091c\u093f\u0928\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 r\u2081 \u090f\u0935\u0902 r\u2082 \u0924\u0925\u093e \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901, l\u2081 \u0935 l\u2082 \u0939\u0948\u0902, \u0915\u094b \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u091c\u094b\u0921\u093c\u093e \u0917\u092f\u093e \u0939\u0948 \u0914\u0930 \u0909\u0928\u092e\u0947\u0902 \u090f\u0915 \u0926\u094d\u0930\u0935 \u0926\u094d\u0935\u093e\u0930\u093e \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0935\u093e\u0939 \u092e\u0947\u0902 \u092c\u0939\u0924\u093e \u0939\u0948\u0964 \u092a\u0939\u0932\u0940 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u0928\u0932\u0940 \u0915\u0947 \u0938\u093f\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0947 \u0926\u093e\u092c\u093e\u0928\u094d\u0924\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 P\u2081 \u0924\u0925\u093e P\u2082 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f P\u2082 \u0915\u093e \u092e\u093e\u0928 4P\u2081 \u0924\u0925\u093e l\u2082 \u0915\u093e \u092e\u093e\u0928 l\u2081/4 \u0939\u094b \u0924\u094b \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e r\u2082 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"r\u2081",
@@ -9810,6 +10326,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 3,
"question": "\u092f\u0926\u093f \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0940 \u0932\u093e\u0907\u092e\u0928 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u0932\u0918\u0941\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f A \u0939\u094b \u0924\u094b He+ \u0915\u0940 \u092a\u093e\u0938\u094d\u091a\u0928 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u0940 \u0926\u0940\u0930\u094d\u0918\u0924\u092e \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u094b\u0917\u0940 :",
"options": [
"5A/9",
@@ -9829,6 +10346,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 3,
"question": "x \u0917\u094d\u0930\u093e\u092e \u092a\u093e\u0928\u0940 \u092e\u0947\u0902 5 \u0917\u094d\u0930\u093e\u092e \u0938\u094b\u0921\u093f\u092f\u092e \u0938\u0932\u094d\u092b\u0947\u091f \u0918\u094b\u0932\u093e \u0917\u092f\u093e\u0964 \u0917\u0932\u0928\u093e\u0902\u0915 \u092e\u0947\u0902 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 3.82\u00b0C \u092a\u093e\u092f\u093e \u0917\u092f\u093e\u0964 \u092f\u0926\u093f Na2SO4 81.5% \u0906\u092f\u0928\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094b x \u0915\u093e \u0932\u0917\u092d\u0917 \u092e\u093e\u0928 \u0939\u0948 : (\u091c\u0932 \u0915\u0947 \u0932\u093f\u090f Kf = 1.86\u00b0C kg mol^-1) (\u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 : S = 32 g mol^-1 \u0924\u0925\u093e Na = 23 g mol^-1)",
"options": [
"15 g",
@@ -9848,6 +10366,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 3,
"question": "\u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0905\u092e\u094d\u0932 (HA) \u092e\u0947\u0902 \u0938\u094b\u0921\u093f\u092f\u092e \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u0915\u094d\u0938\u093e\u0907\u0921 \u0935\u093f\u0932\u092f\u0928 \u092e\u093f\u0932\u093e\u0928\u0947 \u0938\u0947 pH 6 \u0915\u093e \u092c\u092b\u0930 \u092c\u0928\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f HA \u0915\u093e \u0906\u092f\u0928\u0940\u0915\u0930\u0923 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 10^-5 \u0939\u0948 \u0924\u094b, \u092c\u092b\u0930 \u0935\u093f\u0932\u092f\u0928 \u092e\u0947\u0902 \u0932\u0935\u0923 \u0914\u0930 \u0905\u092e\u094d\u0932 \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"4 : 5",
@@ -9867,6 +10386,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 2,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0905\u0938\u0924\u094d\u092f \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0915\u092e \u0926\u093e\u092c \u092a\u0930, \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0917\u0948\u0938\u0947\u0902, \u0906\u0926\u0930\u094d\u0936 \u0935\u094d\u092f\u0935\u0939\u093e\u0930 \u0926\u0930\u094d\u0936\u093e\u0924\u0940 \u0939\u0948\u0902\u0964",
@@ -9886,6 +10406,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 2,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A(g) \u2192 A(l) \u0915\u0947 \u0932\u093f\u090f \u0394H = \u22123RT. \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u092f\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u0394H = \u0394U+O",
@@ -9905,6 +10426,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 9,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u090f\u092e\u093f\u0928\u094b \u0905\u092e\u094d\u0932 \u0939\u0948 :",
"options": [
"\u0910\u0932\u093e\u0928\u093f\u0928",
@@ -9924,6 +10446,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 5,
"question": "\u091c\u093f\u0938 \u092f\u094c\u0917\u093f\u0915 \u092f\u0941\u0917\u094d\u092e \u092e\u0947\u0902, \u0927\u093e\u0924\u0941\u090f\u0901 \u0905\u092a\u0928\u0940 \u0909\u091a\u094d\u091a\u0924\u092e \u0911\u0915\u094d\u0938\u0940\u0915\u0930\u0923 \u0905\u0935\u0938\u094d\u0925\u093e \u092e\u0947\u0902 \u0939\u0948\u0902, \u0935\u0939 \u0939\u0948 :",
"options": [
"MnO\u2082 \u0924\u0925\u093e CrO\u2082Cl\u2082",
@@ -9943,6 +10466,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 5,
"question": "\u091c\u093f\u0938\u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e sp\u00b3d\u00b2 \u0938\u0902\u0915\u0930\u0923 \u0928\u0939\u0940\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e\u0924\u093e, \u0935\u0939 \u0939\u0948 :",
"options": [
"BrF\u2085",
@@ -9962,6 +10486,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 5,
"question": "\u0935\u0939 \u092a\u094d\u0930\u0926\u0942\u0937\u0915 \u0917\u0948\u0938\u0947\u0902 \u092a\u0939\u091a\u093e\u0928\u093f\u092f\u0947 \u091c\u094b \u0924\u093e\u091c\u092e\u0939\u0932 \u0915\u0947 \u0938\u0902\u0917\u092e\u0930\u092e\u0930 \u0915\u0947 \u092e\u091f\u093f\u092f\u093e\u0932\u0947 \u0935 \u092c\u0947\u0930\u0902\u0917 \u0939\u094b\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092e\u0941\u0916\u094d\u092f\u0924\u0903 \u0909\u0924\u094d\u0924\u0930\u0926\u093e\u092f\u0940 \u0939\u0948\u0902\u0964",
"options": [
"O\u2083 \u0924\u0925\u093e CO\u2082",
@@ -9981,6 +10506,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 5,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0947\u0930\u0911\u0915\u094d\u0938\u093e\u0907\u0921 \u0911\u0915\u094d\u0938\u0940\u0915\u093e\u0930\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0924\u0940 \u0939\u0948 ?",
"options": [
"HOCl + H\u2082O\u2082 \u2192 H\u2083O\u207a + Cl\u207b + O\u2082",
@@ -10000,6 +10526,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 4,
"question": "\u090f\u0915 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A \u0915\u0940 \u0926\u0930, \u0924\u093e\u092a \u0915\u094b 300 \u0938\u0947 310 K \u0924\u0915 \u092c\u0922\u093c\u093e\u0928\u0947 \u092a\u0930 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 300 K \u0938\u0947 \u0924\u093e\u092a \u0915\u093f\u0924\u0928\u093e \u092c\u0922\u093c\u093e\u092f\u093e \u091c\u093e\u092f\u0947 \u0915\u093f \u090f\u0915 \u0926\u0942\u0938\u0930\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e B \u0915\u0940 \u0926\u0930 \u092d\u0940 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b \u091c\u093e\u092f\u0947 \u092f\u0926\u093f \u0907\u0938 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e B \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e A \u0938\u0947 \u0926\u0941\u0917\u0928\u0940 \u0939\u094b\u0964",
"options": [
"9.84 K",
@@ -10019,6 +10546,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 4,
"question": "5\u00b0C \u092a\u0930 1 \u092e\u094b\u0932 \u091c\u0932 \u0915\u0947 \u0939\u093f\u092e \u0938\u0947 -5\u00b0C \u092a\u0930 \u092c\u0930\u094d\u092b \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u090f\u0928\u094d\u0925\u0948\u0932\u094d\u092a\u0940 \u0915\u093e \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"5.44 kJ mol\u207b\u00b9",
@@ -10038,6 +10566,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 4,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0939\u0948 ?",
"options": [
"NO\u207a",
@@ -10057,6 +10586,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 8,
"question": "\u0914\u0937\u0927-\u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0935\u093f\u0937\u093e\u0915\u094d\u0924\u0940\u0915\u0930\u0923 \u0915\u093e \u0915\u093e\u0930\u0923 \u0939\u0948 :",
"options": [
"\u090f\u0928\u094d\u091c\u093e\u0907\u092e \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f \u0938\u0924\u0939 \u092a\u0930 \u0909\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0938\u0902\u092f\u094b\u091c\u0928",
@@ -10076,6 +10606,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 7,
"question": "\u090f\u0915 \u0927\u093e\u0924\u0941 'M', \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0917\u0948\u0938 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 M\u2083N\u2082 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0909\u091a\u094d\u091a \u0924\u093e\u092a \u092a\u0930 \u0917\u0930\u094d\u092e \u0915\u0930\u0928\u0947 \u092a\u0930 M\u2083N\u2082 \u0935\u093e\u092a\u0938 \u0927\u093e\u0924\u0941 M \u092c\u0928\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u092f\u0939 \u091c\u0932 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 \u090f\u0915 \u0917\u0948\u0938 B \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0917\u0948\u0938 B, \u091c\u0932\u0940\u092f CuSO\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0915\u0947 \u090f\u0915 \u0917\u0939\u0930\u0947 \u0928\u0940\u0932\u0947 \u0930\u0902\u0917 \u0915\u093e \u092f\u094c\u0917\u093f\u0915 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 'M' \u0924\u0925\u093e 'B' \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"Li \u0924\u0925\u093e NH\u2083",
@@ -10095,6 +10626,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 7,
"question": "\u092a\u0930\u0911\u0915\u094d\u0938\u094b\u0921\u093f\u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u0924\u0925\u093e \u092a\u093e\u092f\u0930\u094b\u0938\u0932\u094d\u092b\u094d\u092f\u0942\u0930\u093f\u0915 \u0905\u092e\u094d\u0932 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 S=O \u0924\u0925\u093e S-OH \u0906\u092c\u0902\u0927\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 \u0939\u0948\u0902 :",
"options": [
"(2 \u0924\u0925\u093e 2) \u0924\u0925\u093e (2 \u0924\u0925\u093e 2)",
@@ -10114,6 +10646,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 7,
"question": "\u090f\u0915 \u0935\u093f\u0932\u092f\u0928 \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u092e\u0942\u0939-IV \u0915\u093e \u090f\u0915 \u0927\u0928\u093e\u092f\u0928 \u0935\u093f\u0926\u094d\u092f\u092e\u093e\u0928 \u0939\u0948, H\u2082S \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0915\u093e \u0924\u0928\u0941 HCl \u092e\u0947\u0902 \u092c\u0928\u093e \u0935\u093f\u0932\u092f\u0928, NaOH \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0936\u094d\u0935\u0947\u0924 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0924\u0925\u093e \u0915\u094d\u0937\u093e\u0930\u0940\u092f \u092a\u094b\u091f\u0948\u0936\u093f\u092f\u092e \u092b\u0947\u0930\u094b\u0938\u093e\u0907\u0928\u093e\u0907\u0921 \u0915\u0947 \u0938\u093e\u0925 \u0928\u0940\u0932\u093e-\u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0927\u0928\u093e\u092f\u0928 \u0939\u0948 :",
"options": [
"Co\u00b2\u207a",
@@ -10133,6 +10666,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u0909\u0924\u094d\u092a\u093e\u0926 \u0939\u0948 :",
"options": [
"CH\u2082 = CHCH\u2082CH = CHCH\u2083",
@@ -10152,6 +10686,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 11,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0935\u093f\u0924\u0930\u0923 \u0935\u0930\u094d\u0923\u0932\u0947\u0916\u0928 \u0915\u0947 \u092c\u093e\u0930\u0947 \u092e\u0947\u0902 \u0938\u0924\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"\u0917\u0924\u093f\u0936\u0940\u0932 \u092a\u094d\u0930\u093e\u0935\u0938\u094d\u0925\u093e \u090f\u0915 \u0917\u0948\u0938 \u0939\u094b \u0938\u0915\u0924\u0940 \u0939\u0948\u0964",
@@ -10171,6 +10706,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 1,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u0939\u0948 :",
"options": [
"\u092c\u094d\u0930\u093e\u0909\u0928\u093f\u092f\u0928 \u0917\u0924\u093f \u092c\u0921\u093c\u0947 \u0915\u0923\u094b\u0902 \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u091b\u094b\u091f\u0947 \u0915\u0923\u094b\u0902 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u0926\u093f\u0916\u093e\u0908 \u0926\u0947\u0924\u0940 \u0939\u0948\u0964",
@@ -10190,6 +10726,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 1,
"question": "100 mL FeCl\u2083 (\u091c\u0932\u0940\u092f) \u092e\u0947\u0902 NaOH (\u091c\u0932\u0940\u092f) \u0915\u094b \u0906\u0927\u093f\u0915\u094d\u092f \u092e\u0947\u0902 \u0921\u093e\u0932\u0928\u0947 \u092a\u0930 2.14 g Fe(OH)\u2083 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 FeCl\u2083 (\u091c\u0932\u0940\u092f) \u0915\u0940 \u092e\u094b\u0932\u0930\u0924\u093e \u0939\u0948, (\u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948 : Fe \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 56 g mol\u207b\u00b9 \u0924\u0925\u093e Cl \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 35.5 g mol\u207b\u00b9)",
"options": [
"0.2 M",
@@ -10209,6 +10746,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 1,
"question": "\u092e\u093e\u0928 f(x) = 2^10.x + 1 \u0924\u0925\u093e g(x) = 3^10.x - 1 \u092f\u0926\u093f (fog)(x) = x \u0939\u0948, \u0924\u094b x \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\frac{3^{10} - 1}{3^{10} - 2^{-10}}\\)",
@@ -10228,6 +10766,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 1,
"question": "\u092e\u093e\u0928 p(x) \u0910\u0938\u093e \u090f\u0915 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u091c\u093f\u0938\u0915\u0947 \u0932\u093f\u092f\u0947 p(0) = 1 \u0939\u0948\u0964 \u092f\u0926\u093f p(x) \u0915\u094b x - 1 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u0947 \u092a\u0930 4 \u0936\u0947\u0937 \u0930\u0939\u0924\u093e \u0939\u0948 \u0924\u0925\u093e x + 1 \u0938\u0947 \u092d\u093e\u0917 \u0926\u0947\u0928\u0947 \u092a\u0930 6 \u0936\u0947\u0937 \u092c\u091a\u0924\u093e \u0939\u0948, \u0924\u094b :",
"options": [
"p(2) = 11",
@@ -10247,6 +10786,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u0924\u0940\u0928 \u0935\u094d\u092f\u0915\u094d\u0924\u093f P, Q \u0924\u0925\u093e R \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0930\u0942\u092a \u0938\u0947 \u090f\u0915 \u0928\u093f\u0936\u093e\u0928\u0947 \u0915\u094b \u092d\u0947\u0926\u0928\u0947 \u0915\u093e \u092a\u094d\u0930\u092f\u093e\u0938 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u0909\u0928\u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u0947 \u0915\u094b \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 3/4, 1/2 \u0924\u0925\u093e 5/8 \u0939\u0948\u0902, \u0924\u094b P \u0905\u0925\u0935\u093e Q \u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u093e \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u092a\u0930\u0928\u094d\u0924\u0941 R \u0915\u0947 \u0928\u093f\u0936\u093e\u0928\u093e \u0928 \u092d\u0947\u0926 \u092a\u093e\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"21/64",
@@ -10266,6 +10806,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 12,
"question": "\u090f\u0915 \u0905\u0928\u092d\u093f\u091c\u094d\u091e\u0924 (unbiased) \u0938\u093f\u0915\u094d\u0915\u0947 \u0915\u094b \u0906\u0920 \u092c\u093e\u0930 \u0909\u091b\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u091a\u093f\u0924 \u0924\u0925\u093e \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u092a\u091f \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"255/256",
@@ -10285,6 +10826,7 @@
"level": "high school",
"category_en": "mathematics",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 14,
"question": "\u0915\u0925\u0928 (~p) \u2228 (p \u2227 ~q) \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948 :",
"options": [
"p \u2228 ~q",
@@ -10304,6 +10846,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 7,
"question": "\u0915\u0930\u094d\u0935 x\u00b2 + y\u00b2 = 4 \u0924\u0925\u093e y\u00b2 = 3x \u0915\u0947 \u092c\u0940\u091a \u0918\u093f\u0930\u0947 \u091b\u094b\u091f\u0947 \u092d\u093e\u0917 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"\\(\\frac{1}{2\\sqrt{3}} + \\frac{\\pi}{3}\\)",
@@ -10323,6 +10866,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 6,
"question": "\u222b\u221a1 + 2cot x(cosec x + cot x) dx (0 < x < \u03c0/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 : (\u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u091a\u0930 \u0939\u0948)",
"options": [
"4 log(sin x/2) + C",
@@ -10342,6 +10886,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 6,
"question": "\u222b\u03c0/12\u03c0 8 cos 2x / (tan x + cot x)\u00b3 dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"15/128",
@@ -10361,6 +10906,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u092f\u0926\u093f \u092a\u0930\u0935\u0932\u092f x\u00b2 = 4y \u0924\u0925\u093e \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 = 4 \u0915\u0940 \u0909\u092a\u0930\u094d\u092f\u0941\u0915\u094d\u0924 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e\u090f\u0901 \u090f\u0915 \u092c\u093f\u0902\u0926\u0941 P \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902, \u0924\u094b P \u0915\u0940 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\u221a2 + 1",
@@ -10380,6 +10926,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 9,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948 \u0924\u0925\u093e \u0926\u0940\u0930\u094d\u0918 \u0905\u0915\u094d\u0937 x-\u0905\u0915\u094d\u0937 \u0915\u0940 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u0939\u0948, \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0940\u091c\u093f\u090f\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e 3/5 \u0924\u0925\u093e \u0928\u093e\u092d\u093f\u092f\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 6 \u0939\u0948, \u0924\u094b \u0909\u0938 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c, \u091c\u094b \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0905\u0902\u0924\u0930\u094d\u0917\u0924 \u092c\u0928\u093e\u0908 \u0917\u0908 \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937, \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937\u094b\u0902 \u092a\u0930 \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"8",
@@ -10399,6 +10946,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092f\u0926\u093f y = [x + \u221a(x\u00b2 - 1)]\u00b9\u2075 + [x - \u221a(x\u00b2 - 1)]\u00b9\u2075 \u0939\u0948, \u0924\u094b (x\u00b2 - 1) d\u00b2y/dx\u00b2 + x dy/dx \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"125 y",
@@ -10418,6 +10966,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 5,
"question": "\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 P \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 (0, -2) \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u094b\u0908 \u092c\u093f\u0902\u0926\u0941 Q \u0935\u0943\u0924\u094d\u0924 x\u00b2 + y\u00b2 - 5x - y + 5 = 0 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0924\u094b (PQ)\u00b2 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"(25 + \u221a6)/2",
@@ -10437,6 +10986,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "\u092f\u0926\u093f \u0936\u094d\u0930\u0947\u0923\u0940 \u221a3 + \u221a75 + \u221a243 + \u221a507 + ..... \u0915\u0947 \u092a\u094d\u0930\u0925\u092e n \u092a\u0926\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 435\u221a3 \u0939\u0948, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"18",
@@ -10456,6 +11006,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "lim x\u21923 \u221a3x\u22123 / \u221a2x\u22124\u2212\u221a2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a3",
@@ -10475,6 +11026,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 4,
"question": "\u0935\u0915\u094d\u0930 x\u00b2y\u00b2\u22122x=4(1\u2212y) \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 (2,\u22122) \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0928\u0939\u0940\u0902 \u0917\u0941\u091c\u0930\u0924\u0940 \u0939\u0948 :",
"options": [
"(4, 1/3)",
@@ -10494,6 +11046,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u0930\u0947\u0916\u093e\u0913\u0902 tx - 2y - 3t = 0 x - 2ty + 3 = 0 (t\u2208R) \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e \u092c\u093f\u0902\u0926\u0941 \u092a\u0925 \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\( \\frac{2}{\\sqrt{5}} \\) \u0939\u0948",
@@ -10513,6 +11066,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 8,
"question": "\u092f\u0926\u093f \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0935\u094d\u092f\u093e\u0938 4 \u0907\u0915\u093e\u0908 \u0939\u0948 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u091c\u0940\u0935\u093e\u090f\u0901, \u091c\u094b \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u0915\u0940 \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e\u0913\u0902 \u092e\u0947\u0902 \u0939\u0948\u0902 \u0924\u0925\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 cos\\(^{-1}\\left(\\frac{1}{7}\\right)\\) \u0924\u0925\u093e sec\\(^{-1}(7)\\) \u0915\u0947 \u0915\u094b\u0923 \u0905\u0902\u0924\u0930\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902, \u0924\u094b \u0907\u0928 \u091c\u0940\u0935\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"\\( \\frac{4}{\\sqrt{7}} \\)",
@@ -10532,6 +11086,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u0936\u092c\u094d\u0926 QUEEN \u0915\u0947 \u0938\u092d\u0940 \u0905\u0915\u094d\u0937\u0930\u094b\u0902 \u0915\u093e \u092a\u094d\u0930\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092c\u0928\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0936\u092c\u094d\u0926 (\u091c\u093f\u0928\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0905\u0925\u0935\u093e \u0935\u0947 \u0905\u0930\u094d\u0925\u0939\u0940\u0928 \u0939\u0948\u0902) \u0915\u094b \u0905\u0902\u0917\u094d\u0930\u0947\u091c\u0940 \u0936\u092c\u094d\u0926\u0915\u094b\u0936 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0932\u0917\u093e\u0928\u0947 \u092a\u0930, \u0936\u092c\u094d\u0926 QUEEN \u0915\u093e \u0938\u094d\u0925\u093e\u0928 \u0939\u0948 :",
"options": [
"44 \u0935\u093e\u0902",
@@ -10551,6 +11106,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092f\u0926\u093f (27)^999 \u0915\u094b 7 \u0938\u0947 \u092d\u093e\u0917 \u0926\u093f\u092f\u093e \u091c\u093e\u090f, \u0924\u094b \u0936\u0947\u0937\u092b\u0932 \u0939\u0948 :",
"options": [
"1",
@@ -10570,6 +11126,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 3,
"question": "\u092f\u0926\u093f \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 a \u0924\u0925\u093e b, a > b > 0 \u0915\u093e \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092e\u093e\u0927\u094d\u092f (A.M.) \u0909\u0928\u0915\u0947 \u0917\u0941\u0923\u094b\u0924\u094d\u0924\u0930 \u092e\u093e\u0927\u094d\u092f (G.M.) \u0915\u093e 5 \u0917\u0941\u0928\u093e \u0939\u0948, \u0924\u094b a + b / a - b \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\u221a6 / 2",
@@ -10589,6 +11146,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "\u0938\u092e\u0924\u0932, \u091c\u093f\u0938\u092e\u0947\u0902 \u0926\u094b\u0928\u094b\u0902 \u0930\u0947\u0916\u093e\u090f\u0902\n\\[ \\frac{x + 1}{6} = \\frac{y - 1}{7} = \\frac{z - 3}{8} \\]\n\u0924\u0925\u093e\n\\[ \\frac{x - 1}{3} = \\frac{y - 2}{5} = \\frac{z - 3}{7} \\]\n\u0926\u093f\u0916\u093e\u0908 \u0939\u0948\u0902, \u092a\u0930 \u092c\u093f\u0902\u0926\u0941 (1, -2, 1) \u0938\u0947 \u0921\u093e\u0932\u0947 \u0917\u090f \u0932\u092e\u094d\u092c \u0915\u0947 \u092a\u093e\u0926 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u0948\u0902 :",
"options": [
"(2, -4, 2)",
@@ -10608,6 +11166,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 10,
"question": "\u0938\u092e\u0924\u0932 \\[ \\vec{r} \\cdot (3\\hat{i} - \\hat{j} + \\hat{k}) = 1 \\] \u0924\u0925\u093e \\[ \\vec{r} \\cdot (\\hat{i} + 4\\hat{j} - 2\\hat{k}) = 2 \\] \u0915\u0940 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0940 \u0930\u0947\u0916\u093e \u0939\u0948 :",
"options": [
"\\[ \\frac{x - \\frac{4}{7}}{-2} = \\frac{y}{7} = \\frac{z - \\frac{5}{7}}{13} \\]",
@@ -10627,6 +11186,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u0938\u092e\u093e\u0902\u0924\u0930 \u091a\u0924\u0941\u0930\u094d\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0947 \u0935\u093f\u0915\u0930\u094d\u0923, \u0938\u0926\u093f\u0936\u094b\u0902 8i - 6j \u0924\u0925\u093e 3i + 4j - 12k \u0915\u0940 \u0926\u093f\u0936\u093e\u0913\u0902 \u092e\u0947\u0902 \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"26",
@@ -10646,6 +11206,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 11,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 25 \u0905\u0927\u094d\u092f\u093e\u092a\u0915\u094b\u0902 \u0915\u0940 \u092e\u093e\u0927\u094d\u092f-\u0906\u092f\u0941 40 \u0935\u0930\u094d\u0937 \u0939\u0948\u0964 \u090f\u0915 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 60 \u0935\u0930\u094d\u0937 \u0915\u0940 \u0906\u092f\u0941 \u092e\u0947\u0902 \u0938\u0947\u0935\u093e \u0928\u093f\u0935\u0943\u0924\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u0909\u0938\u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u090f\u0915 \u0928\u092f\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0915\u0940 \u0928\u093f\u092f\u0941\u0915\u094d\u0924\u093f \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092c \u0907\u0938 \u0935\u093f\u0926\u094d\u092f\u093e\u0932\u092f \u0915\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915\u094b\u0902 \u0915\u0940 \u092e\u093e\u0927\u094d\u092f-\u0906\u092f\u0941 39 \u0935\u0930\u094d\u0937 \u0939\u0948 \u0924\u094b \u0928\u092f\u0947 \u0905\u0927\u094d\u092f\u093e\u092a\u0915 \u0915\u0940 \u0906\u092f\u0941 (\u0935\u0930\u094d\u0937\u094b\u0902 \u092e\u0947\u0902) \u0939\u0948 :",
"options": [
"25",
@@ -10665,6 +11226,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f z \u2208 C, \u091c\u094b \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948, \u0924\u094b \u0938\u092e\u0940\u0915\u0930\u0923 2|z + 3i| - |z - i| = 0 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948 :",
"options": [
"\u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u091c\u093f\u0938\u0915\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \\(\\frac{8}{3}\\) \u0939\u0948\u0964",
@@ -10684,6 +11246,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u03bb \u0915\u0947 \u0909\u0928 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u093e \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u092e\u0942\u0939 \u0915\u0947 \u0905\u0928\u0902\u0924 \u0939\u0932 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"0",
@@ -10703,6 +11266,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 2,
"question": "\u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f A \u0915\u094b\u0908 3 \u00d7 3 \u0915\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e\u0923\u0940\u092f \u0906\u0935\u094d\u092f\u0942\u0939 \u0939\u0948 \u0924\u094b \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928-\u0938\u093e \u0938\u0924\u094d\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"adj (A) = |A|\u00b7A\u207b\u00b9",
@@ -10722,6 +11286,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u090f\u0915 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915\u0938\u092e\u093e\u0928 \u0938\u094d\u0925\u093f\u0930 \u0935\u0948\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964 \u092f\u0939\u093e\u0901 \u090f\u0915 \u092c\u093f\u0928\u094d\u0926\u0941 P \u092a\u0930 \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u0924 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u092a\u0930 \u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 589.0 V \u0938\u0947 589.8 V \u0938\u0940\u092e\u093e\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u0917\u094b\u0932\u0947 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u0935\u0939 \u092c\u093f\u0928\u094d\u0926\u0941, \u091c\u093f\u0938\u0915\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0935\u0947\u0915\u094d\u091f\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0938\u0947 60\u00b0 \u0915\u093e \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948, \u092a\u0930 \u0935\u093f\u092d\u0935 \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e?",
"options": [
"589.5 V",
@@ -10741,6 +11306,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u03bb \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0927\u094d\u092f \u0915\u0947 \u0938\u0941\u0938\u0902\u0917\u0924 \u090f\u0915\u0930\u0902\u0917\u0940 \u092a\u094d\u0930\u0915\u093e\u0936 \u0938\u0947 \u090f\u0915 \u0939\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u0940 \u091d\u093f\u0930\u0940 \u0915\u094b \u092a\u094d\u0930\u092c\u094b\u0927\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f 1 m \u0926\u0942\u0930\u0940 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092a\u0930\u094d\u0926\u0947 \u092a\u0930 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u090f\u0935\u0902 \u091a\u0924\u0941\u0930\u094d\u0925 \u0928\u093f\u092e\u094d\u0928\u093f\u0924\u092e \u0915\u093e \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0938\u0947 \u0926\u0942\u0930\u0940 \u0915\u094d\u0930\u092e\u0936\u0903 3 cm \u0914\u0930 6 cm \u0939\u0948 \u0924\u094b \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940? (\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u092f \u0909\u091a\u094d\u091a\u0924\u092e \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0909\u0938\u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u092b \u0915\u0947 \u092a\u094d\u0930\u0925\u092e \u0928\u093f\u092e\u094d\u0928\u093f\u0924\u092e \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948)",
"options": [
"1.5 cm",
@@ -10760,6 +11326,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u091c\u092c \u0906\u0935\u0943\u0924\u094d\u0924\u093f n \u0915\u093e \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u0927\u093e\u0924\u0941 \u0915\u0947 \u092a\u0943\u0937\u094d\u0920 \u092a\u0930 \u092a\u0921\u093c\u0924\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u092b\u094b\u091f\u094b-\u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 v \u0939\u0948\u0964 \u092f\u0926\u093f \u0906\u092a\u0924\u093f\u0924 \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0922\u093c\u093e\u0915\u0930 3n \u0915\u0930 \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928\u094b\u0902 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 \u0939\u094b\u0917\u093e:",
"options": [
"\u221a3 v \u0938\u0947 \u0915\u092e",
@@ -10779,6 +11346,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u092c\u094b\u0930 (Bohr) \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 (\u0928\u093e\u092d\u093f\u0915) \u092a\u0930 n\u0935\u0947\u0902 \u0915\u0915\u094d\u0937 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u0940 \u0917\u0924\u093f \u0915\u0947 \u0915\u093e\u0930\u0923 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0938\u092e\u092f-\u0914\u0938\u0924 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u0938\u092e\u093e\u0928\u0941\u092a\u093e\u0924\u0940 \u0939\u094b\u0917\u093e : (\u092f\u0939\u093e\u0901 n \u092e\u0941\u0916\u094d\u092f \u0915\u094d\u0935\u093e\u0923\u094d\u091f\u092e \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964)",
"options": [
"n\u207b\u2074",
@@ -10798,6 +11366,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0926\u094b \u0921\u094d\u092f\u0942\u091f\u0940\u0930\u0949\u0928\u094b\u0902 \u0915\u0947 \u0928\u093e\u092d\u093f\u0915\u0940\u092f \u0938\u0902\u0932\u092f\u0928 \u0938\u0947 \u090f\u0915 \u0939\u0940\u0932\u093f\u092f\u092e \u0928\u093e\u092d\u093f\u0915 \u092c\u0928\u0924\u093e \u0939\u0948\u0964 \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e : (\u0926\u093f\u092f\u093e \u0939\u0948 : \u0921\u094d\u092f\u0942\u091f\u0940\u0930\u0949\u0928 \u0915\u0940 \u092a\u094d\u0930\u0924\u093f-\u0928\u094d\u092f\u0942\u0915\u094d\u0932\u093f\u0911\u0928 \u092c\u0928\u094d\u0927\u0928 \u090a\u0930\u094d\u091c\u093e = 1.1 MeV \u0924\u0925\u093e \u0939\u0940\u0932\u093f\u092f\u092e \u0915\u0940 \u092a\u094d\u0930\u0924\u093f \u0928\u094d\u092f\u0942\u0915\u094d\u0932\u093f\u0911\u0928 \u092c\u0928\u094d\u0927\u0928 \u090a\u0930\u094d\u091c\u093e = 7.0 MeV)",
"options": [
"30.2 MeV",
@@ -10817,6 +11386,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0906\u0926\u0930\u094d\u0936 \u0917\u0948\u0938 \u0915\u0947 \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930\u0924\u093e \u0915\u094b\u091f\u093f (degrees of freedom) 5 \u0939\u0948\u0964 \u0907\u0938 \u0917\u0948\u0938 \u0915\u0940 \u0938\u094d\u0925\u093f\u0930 \u0926\u092c\u093e\u0935 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e (Cp) \u0914\u0930 \u0938\u094d\u0925\u093f\u0930 \u0906\u092f\u0924\u0928 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e (Cv) \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"6",
@@ -10836,6 +11406,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924 \u0917\u0924\u093f \u092e\u0947\u0902 \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u094d\u0935\u0930\u0923 \u090f\u0935\u0902 \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u0947\u0917 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 10 s^(-1) \u0939\u0948\u0964 \u092f\u0926\u093f t=0 \u092a\u0930 \u0935\u093f\u0938\u094d\u0925\u093e\u092a\u0928 5 m \u0939\u0948 \u0924\u094b \u0905\u0927\u093f\u0915\u0924\u092e \u0924\u094d\u0935\u0930\u0923 \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e? \u0906\u0930\u0902\u092d\u093f\u0915 \u0915\u0932\u093e \u0915\u093e \u092e\u093e\u0928 \u03c0/4 \u0939\u0948\u0964",
"options": [
"500 m/s^2",
@@ -10855,6 +11426,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917 \u0938\u0947 \u091c\u0941\u0921\u093c\u093e \u0939\u0941\u0906 1 kg \u0915\u093e \u090f\u0915 \u0917\u0941\u091f\u0915\u093e 1 Hz \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0938\u0947 \u090f\u0915 \u0918\u0930\u094d\u0937\u0923\u0939\u0940\u0928 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092e\u0947\u091c \u092a\u0930 \u0926\u094b\u0932\u0928 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939 \u0915\u0940 \u0926\u094b \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0938\u094d\u092a\u094d\u0930\u093f\u0902\u0917\u094b\u0902 \u0938\u0947 \u090f\u0915 8 kg \u0915\u093e \u0917\u0941\u091f\u0915\u093e \u091c\u094b\u0921\u093c\u0915\u0930 \u0909\u0938\u0940 \u092e\u0947\u091c \u092a\u0930 \u0926\u094b\u0932\u0928 \u0915\u0930\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 8 kg \u0915\u0947 \u0917\u0941\u091f\u0915\u0947 \u0915\u0940 \u0926\u094b\u0932\u0928 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0939\u094b\u0917\u0940 :",
"options": [
"\\(\\frac{1}{4}\\) Hz",
@@ -10874,6 +11446,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "\u090f\u0915 \u0935\u0938\u094d\u0924\u0941 \u0915\u094b \u0927\u0930\u0924\u0940 \u0938\u0947 h \u090a\u0901\u091a\u093e\u0908 \u0938\u0947 \u091b\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u091c\u092c \u092f\u0939 \u0935\u0938\u094d\u0924\u0941 \u092a\u0943\u0925\u094d\u0935\u0940 \u0938\u0947 \u091f\u0915\u0930\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091f\u0915\u094d\u0915\u0930 \u092e\u0947\u0902 \u0909\u0938\u0915\u0940 50% \u0917\u0924\u093f\u091c \u090a\u0930\u094d\u091c\u093e \u0915\u094d\u0937\u092f \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f t\u2192\u221e, \u0935\u0938\u094d\u0924\u0941 \u0926\u094d\u0935\u093e\u0930\u093e \u0924\u092f \u0915\u0940 \u0917\u092f\u0940 \u0915\u0941\u0932 \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"2h",
@@ -10893,6 +11466,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u090f\u0915 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0930\u0916\u0947 \u0939\u0941\u090f \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0915\u0940 :",
"options": [
"\u0938\u094d\u0925\u093f\u0930\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u094b\u0917\u0940 \u092f\u0926\u093f \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0905\u0927\u093f\u0915\u0924\u092e \u0939\u0948\u0964",
@@ -10912,6 +11486,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 12,
"question": "\u0924\u093e\u0930 \u0938\u0947 \u092c\u0928\u0947 \u0935\u0943\u0924\u094d\u0924\u0940\u092f a \u0915\u0947 \u091b\u094b\u091f\u0947 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0932\u0942\u092a \u0915\u094b \u0935\u0943\u0924\u094d\u0924\u0940\u092f b \u0915\u0947 \u090f\u0915 \u092c\u0939\u0941\u0924 \u0935\u0943\u0924\u094d\u0924\u093e\u0915\u093e\u0930 \u0932\u0942\u092a \u0915\u0947 \u0915\u0947\u0902\u0926\u094d\u0930 \u092a\u0930 \u0930\u0916\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u0932\u0942\u092a \u090f\u0915 \u0939\u0940 \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0939\u0948\u0902\u0964 \u0935\u0943\u0924\u094d\u0924\u0940\u092f b \u0915\u0947 \u092c\u093e\u0939\u094d\u092f \u0932\u0942\u092a \u092e\u0947\u0902 \u090f\u0915 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0935\u0930\u094d\u0924\u0940 \u0927\u093e\u0930\u093e I = I\u2080 cos (\u03c9t) \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0935\u0943\u0924\u094d\u0924\u0940\u092f a \u0935\u093e\u0932\u0947 \u0906\u0902\u0924\u0930\u093f\u0915 \u0932\u0942\u092a \u092e\u0947\u0902 \u092a\u094d\u0930\u0947\u0930\u093f\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0935\u093e\u0939\u0915 \u092c\u0932 \u0939\u094b\u0917\u093e :",
"options": [
"\u03c0\u03bc\u2080 I\u2080 / 2 \u00b7 a\u00b2 / b \u03c9 sin (\u03c9t)",
@@ -10931,6 +11506,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u0935\u0948\u0926\u094d\u092f\u0941\u0924\u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\n\\(\\vec{B} = B_0 \\sin (kx + \\omega t) \\hat{j} \\) T \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0938\u0902\u0917\u0924 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u094b\u0917\u093e :\n\u092f\u0939\u093e\u0901 c \u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u093e \u0935\u0947\u0917 \u0939\u0948\u0964",
"options": [
"\\(\\vec{E} = B_0 c \\sin (kx + \\omega t) \\hat{k} \\) V/m",
@@ -10950,6 +11526,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u092e\u093e\u0928\u093e \u0915\u093f \u090f\u0915 \u0938\u0918\u0928 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u093e \u090f\u0915 \u0935\u093f\u0930\u0932 \u092e\u093e\u0927\u094d\u092f\u092e \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u0905\u092a\u0935\u0930\u094d\u0924\u0928\u093e\u0902\u0915 \\(n_{12}\\) \u0939\u0948 \u0924\u0925\u093e \u0909\u0938\u0915\u093e \u0915\u094d\u0930\u093e\u0902\u0924\u093f\u0915 \u0915\u094b\u0923 \\(\\theta_C\\) \u0939\u0948\u0964 \u091c\u092c \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u0906\u092a\u0924\u0928 \u0915\u094b\u0923 A \u0938\u0947 \u0938\u0918\u0928 \u0938\u0947 \u0935\u093f\u0930\u0932 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0915\u093e\u0936 \u090f\u0915 \u092d\u093e\u0917 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0914\u0930 \u092c\u091a\u093e \u0939\u0941\u0906 \u092d\u093e\u0917 \u0905\u092a\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 \u0914\u0930 \u0905\u092a\u0935\u0930\u094d\u0924\u093f\u0924 \u0915\u093f\u0930\u0923\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923 90\u00b0 \u0939\u0948\u0964 \u0915\u094b\u0923 A \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\\(\\frac{1}{\\cos^{-1} (\\sin \\theta_C)}\\)",
@@ -10969,6 +11546,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 1,
"question": "\u092f\u0926\u093f \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928, \u0932\u092e\u094d\u092c\u093e\u0908 \u0914\u0930 \u0938\u092e\u092f \u0915\u0947 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u0938\u092e\u092f (T), \u0935\u0947\u0917 (C) \u0924\u0925\u093e \u0915\u094b\u0923\u0940\u092f \u0938\u0902\u0935\u0947\u0917 (h) \u0915\u094b \u092e\u0942\u0932\u092d\u0942\u0924 \u0930\u093e\u0936\u093f\u092f\u093e\u0901 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0924\u094b \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0940 \u0935\u093f\u092e\u093e \u0915\u094b \u0907\u0928 \u0930\u093e\u0936\u093f\u092f\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928 \u0924\u0930\u0940\u0915\u0947 \u0938\u0947 \u0932\u093f\u0916\u0947\u0902 :",
"options": [
"[M] = [T\u207b\u00b9 C\u207b\u00b2 h]",
@@ -10988,6 +11566,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 10,
"question": "\u0927\u093e\u0924\u0941 \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0938\u0947 \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u0902\u091a\u093f\u0924 \u090a\u0930\u094d\u091c\u093e \u0915\u093e \u092e\u093e\u0928 4.5 J \u0939\u0948\u0964 \u092f\u0926\u093f \u0917\u094b\u0932\u0947 \u092e\u0947\u0902 \u0906\u0935\u0947\u0936 4 \u03bcC \u0939\u094b \u0924\u094b \u0909\u0938\u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"20 mm",
@@ -11007,6 +11586,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 10,
"question": "\u090f\u0915 \u0905\u0930\u094d\u0927\u091a\u093e\u0932\u0915 \u092e\u0947\u0902 \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0924\u0925\u093e \u0939\u094b\u0932 \u0915\u093e \u0938\u0902\u0916\u094d\u092f \u0918\u0928\u0924\u094d\u0935 \u0915\u094d\u0930\u092e\u0936\u0903 5 \u00d7 10^18 m^\u22123 \u0935 5 \u00d7 10^19 m^\u22123 \u0924\u0925\u093e \u0909\u0928\u0915\u0940 \u0917\u0924\u093f\u0936\u0940\u0932\u0924\u093e\u090f\u0901 \u0915\u094d\u0930\u092e\u0936\u0903 2.0 m^2 V^\u22121 s^\u22121 \u0935 0.01 m^2 V^\u22121 s^\u22121 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0905\u0930\u094d\u0927\u091a\u093e\u0932\u0915 \u0915\u0940 \u091a\u093e\u0932\u0915\u0924\u093e \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u0940?",
"options": [
"1.68 (\u03a9-m)^\u22121",
@@ -11026,6 +11606,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "\u090f\u0915 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0930 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u090f\u0935\u0902 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0909\u092a\u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0902\u0964 \u091a\u0941\u0902\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 B = B0 (i\u0302 + 2j\u0302 - 4k\u0302) \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0915 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0906\u0935\u0947\u0936, \u091c\u093f\u0938\u0915\u093e \u0935\u0947\u0917 v = v0 (3i\u0302 - j\u0302 + 2k\u0302), \u092a\u0930 \u0915\u094b\u0908 \u092c\u0932 \u0928\u0939\u0940\u0902 \u0932\u0917\u0924\u093e \u0939\u0948 \u0924\u094b \u0907\u0938 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 SI \u092e\u093e\u0924\u094d\u0930\u0915\u094b\u0902 \u092e\u0947\u0902 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0939\u094b\u0917\u093e:",
"options": [
"E = - v0 B0 (3i\u0302 - 2j\u0302 - 4k\u0302)",
@@ -11045,6 +11626,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0938\u094d\u091f\u0940\u0932 \u0915\u0940 \u090f\u0915 \u092a\u0924\u0932\u0940 \u090f\u0935\u0902 \u0932\u092e\u094d\u092c\u0940 \u091b\u0921\u093c \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u090f\u0915 \u0938\u0902\u092a\u0940\u0921\u0928 \u092c\u0932 F \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0938\u093e\u0925 \u0939\u0940 \u091b\u0921\u093c \u0915\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0915\u0947 \u0909\u0938\u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 \u0394T \u092c\u0922\u093c\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0938\u0947 \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u092e\u0947\u0902 \u0915\u0941\u0932 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964 \u092e\u093e\u0928 \u0932\u0947\u0902 \u0915\u093f \u091b\u0921\u093c \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 l, \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 A, \u092f\u0902\u0917 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 Y \u0935 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948 \u0924\u094b F \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"l\u00b2 Y\u03b1 \u0394T",
@@ -11064,6 +11646,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u092f\u0926\u093f \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0918\u0942\u0930\u094d\u0923\u0928 \u0917\u0924\u093f \u0936\u0942\u0928\u094d\u092f \u0939\u0948 \u0924\u094b \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u093e \u092d\u0942\u092e\u0927\u094d\u092f\u0930\u0947\u0916\u093e \u092a\u0930 \u092d\u093e\u0930 W \u0939\u0948\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u094b \u0905\u092a\u0928\u0940 \u0927\u0941\u0930\u0940 \u0915\u0947 \u091a\u093e\u0930\u094b\u0902 \u0913\u0930 \u0918\u0942\u0930\u094d\u0923\u0928 \u0915\u0940 \u0935\u0939 \u0917\u0924\u093f \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u092f\u0947 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u093e \u092d\u0942\u092e\u0927\u094d\u092f\u0930\u0947\u0916\u093e \u092a\u0930 \u092d\u093e\u0930 3/4 W \u0939\u094b\u0917\u093e\u0964 \u092a\u0943\u0925\u094d\u0935\u0940 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 6400 km \u0914\u0930 g = 10 m/s\u00b2 \u0939\u0948\u0964",
"options": [
"1.1 x 10\u207b\u00b3 rad/s",
@@ -11083,6 +11666,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u090f\u0915 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902 0.20 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u0947 \u090f\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u094b 150\u00b0C \u0924\u0915 \u0917\u0930\u094d\u092e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0915\u0947 \u0924\u0941\u0930\u0902\u0924 \u092c\u093e\u0926 \u0907\u0938\u0947 27\u00b0C \u0935 150 cc \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0935\u093e\u0932\u0947 \u092a\u093e\u0928\u0940 \u0938\u0947 \u092d\u0930\u0947 \u090f\u0915 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930, \u091c\u093f\u0938\u0915\u0947 0.025 kg \u092a\u093e\u0928\u0940 \u0915\u0947 \u0924\u0941\u0932\u094d\u092f \u0939\u0948, \u092e\u0947\u0902 \u0921\u093e\u0932 \u0926\u0947\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0938 \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0905\u0928\u094d\u0924 \u0924\u093e\u092a\u092e\u093e\u0928 40\u00b0C \u0939\u0948\u0964 \u090f\u0932\u0941\u092e\u093f\u0928\u093f\u092f\u092e \u0915\u0940 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e \u0939\u094b\u0917\u0940 : (4.2 \u091c\u0942\u0932 = 1 \u0915\u0948\u0932\u094b\u0930\u0940 \u0939\u0948\u0964)",
"options": [
"378 J/kg-\u00b0C",
@@ -11102,6 +11686,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "1.2 MHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0924\u0925\u093e 25 V \u0936\u093f\u0916\u0930 \u0935\u094b\u0932\u094d\u091f\u0924\u093e \u0935\u093e\u0932\u0940 \u090f\u0915 \u0935\u093e\u0939\u0915 \u0924\u0930\u0902\u0917 \u0915\u094b 20 kHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0924\u0925\u093e \u0936\u093f\u0916\u0930 \u0935\u094b\u0932\u094d\u091f\u0924\u093e 5 V \u0915\u0947 \u0938\u0902\u0915\u0947\u0924 \u0938\u0947 \u092e\u093e\u0921\u094d\u092f\u0942\u0932\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0938\u0939\u0940 \u0915\u0925\u0928 \u091a\u0941\u0928\u093f\u090f\u0964",
"options": [
"\u092e\u093e\u0921\u094d\u092f\u0942\u0932\u0928 \u0938\u0942\u091a\u0915\u093e\u0902\u0915=5, \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092c\u0948\u0902\u0921 1400 kHz \u0924\u0925\u093e 1000 kHz \u092a\u0930 \u0939\u0948\u0902\u0964",
@@ -11121,6 +11706,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 17,
"question": "\u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u0947 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u092a\u0930 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u090f\u0915 \u092d\u094c\u0924\u093f\u0915 \u0924\u0941\u0932\u093e \u0915\u0947 \u092c\u093e\u0901\u092f\u0947 \u092a\u0932\u0921\u093c\u0947 \u092e\u0947\u0902 \u091c\u092c 5 mg \u092d\u093e\u0930 \u0930\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0915\u093e\u0901\u091f\u093e \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0941\u0932\u093e \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u092a\u0932\u0921\u093c\u094b\u0902 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0938\u092e\u093e\u0928 \u0939\u0948\u0964 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0938\u0924\u094d\u092f \u0939\u0948?",
"options": [
"\u092c\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e, \u0926\u093e\u0901\u092f\u0940 \u092d\u0941\u091c\u093e \u0938\u0947 \u0932\u092e\u094d\u092c\u0940 \u0939\u0948\u0964",
@@ -11140,6 +11726,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u091c\u092c \u0915\u094d\u0932\u094b\u0930\u0940\u0928 \u0917\u0948\u0938 \u0920\u0902\u0921\u0947 \u090f\u0935\u0902 \u0924\u0928\u0941 \u091c\u0932\u0940\u092f NaOH \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u0940 \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0909\u0924\u094d\u092a\u093e\u0926 \u0939\u094b\u0902\u0917\u0947 :",
"options": [
"Cl\u207b \u0924\u0925\u093e ClO\u207b",
@@ -11159,6 +11746,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902 \u092e\u0947\u0902, ZnO \u0915\u094d\u0930\u092e\u0936\u0903 \u0915\u093e\u0930\u094d\u092f \u0915\u0930\u0947\u0917\u093e :",
"options": [
"\u0905\u092e\u094d\u0932 \u0924\u0925\u093e \u0905\u092e\u094d\u0932",
@@ -11178,6 +11766,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 22,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u0928\u093f\u0915 \u0905\u092e\u094d\u0932 \u0915\u093e \u0938\u094b\u0921\u093f\u092f\u092e \u0932\u0935\u0923 'X' \u0938\u093e\u0928\u094d\u0926\u094d\u0930 H\u2082SO\u2084 \u0915\u0947 \u0938\u093e\u0925 \u0926\u094d\u0930\u0935\u0941\u0926\u094d\u0917\u093e\u0930 \u0926\u0947\u0924\u093e \u0939\u0948\u0964 'X' \u0905\u092e\u094d\u0932\u0940\u092f \u091c\u0932\u0940\u092f CaCl\u2082 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0924\u093e \u0939\u0948 \u0914\u0930 \u0938\u092b\u0947\u0926 \u0905\u0935\u0915\u094d\u0937\u0947\u092a \u0926\u0947\u0924\u093e \u0939\u0948 \u091c\u094b KMnO\u2084 \u0915\u0947 \u0905\u092e\u094d\u0932\u0940\u092f \u0935\u093f\u0932\u092f\u0928 \u0915\u094b \u0930\u0902\u0917\u0939\u0940\u0928 \u092c\u0928\u093e \u0926\u0947\u0924\u093e \u0939\u0948\u0964 'X' \u0939\u0948 :",
"options": [
"CH\u2083COONa",
@@ -11197,6 +11786,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u0938\u092e\u093e\u0915\u0932 \u03c0/4 \u0938\u0947 3\u03c0/4 \u0924\u0915 dx / (1 + cos x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
@@ -11216,6 +11806,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u0915\u094d\u0937\u0947\u0924\u094d\u0930 {(x, y) : x \u2265 0, x + y \u2264 3, x\u00b2 \u2264 4y \u0924\u0925\u093e y \u2264 1 + \u221ax} \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0907\u092f\u094b\u0902) \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"3/2",
@@ -11235,6 +11826,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 34,
"question": "\u092f\u0926\u093f (2 + sin x) dy/dx + (y + 1) cos x = 0 \u0924\u0925\u093e y(0) = 1 \u0939\u0948, \u0924\u094b y(\u03c0/2) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"-2/3",
@@ -11254,6 +11846,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 7,
"question": "\u0938\u0942\u0930\u094d\u092f \u0915\u0940 \u0915\u093f\u0930\u0923\u094b\u0902 \u0938\u0947 \u090f\u0915 \u0916\u0941\u0932\u0947 \u0939\u0941\u090f 30 m\u00b3 \u0906\u092f\u0924\u0928 \u0935\u093e\u0932\u0947 \u0915\u092e\u0930\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 17\u00b0C \u0938\u0947 \u092c\u0922\u093c\u0915\u0930 27\u00b0C \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0915\u092e\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0935\u093e\u092f\u0941\u092e\u0923\u094d\u0921\u0932\u0940\u092f \u0926\u093e\u092c 1\u00d710\u2075 Pa \u0939\u0940 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u092e\u0930\u0947 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0905\u0923\u0941\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e n\u2081 \u0914\u0930 n\u2082 \u0939\u0948\u0902 \u0924\u094b n\u2082-n\u2081 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"\u20131.61 \u00d7 10\u00b2\u00b3",
@@ -11273,6 +11866,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u091f\u093f\u0923\u094d\u0921\u0932 \u092a\u094d\u0930\u092d\u093e\u0935 \u0924\u092d\u0940 \u0926\u093f\u0916\u093e\u0908 \u092a\u0921\u093c\u0947\u0917\u093e \u091c\u092c \u0928\u093f\u092e\u094d\u0928 \u0936\u0930\u094d\u0924\u0947\u0902 \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0939\u094b\u0924\u0940 \u0939\u0948\u0902 :",
"options": [
"(a) \u0924\u0925\u093e (c)",
@@ -11292,6 +11886,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 18,
"question": "\u090f\u0915 \u0927\u093e\u0924\u0941 \u092b\u0932\u0915\u0940\u092f \u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0940\u0924 \u0918\u0928 \u0938\u0902\u0930\u091a\u0928\u093e \u092e\u0947\u0902 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932\u0940\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0947 \u090f\u0915\u0915 \u0915\u094b\u0936 \u0915\u0940 \u0915\u094b\u0930 \u0932\u0902\u092c\u093e\u0908 'a' \u0939\u0948, \u0924\u094b \u0927\u093e\u0924\u094d\u0935\u093f\u0915 \u0915\u094d\u0930\u093f\u0938\u094d\u091f\u0932 \u092e\u0947\u0902 \u0926\u094b \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0915\u091f\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"\u221a2 a",
@@ -11311,6 +11906,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u0924\u0940\u0928 \u0918\u091f\u0928\u093e\u0913\u0902 A, B \u0924\u0925\u093e C \u0915\u0947 \u0932\u093f\u090f P(A \u0905\u0925\u0935\u093e B \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = P(B \u0905\u0925\u0935\u093e C \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = P(C \u0905\u0925\u0935\u093e A \u092e\u0947\u0902 \u0938\u0947 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948) = 1/4 \u0924\u0925\u093e P(\u0938\u092d\u0940 \u0924\u0940\u0928 \u0918\u091f\u0928\u093e\u090f\u0901 \u090f\u0915 \u0938\u093e\u0925 \u0918\u091f\u093f\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902) = 1/16 \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0915\u093f \u0915\u092e \u0938\u0947 \u0915\u092e \u090f\u0915 \u0918\u091f\u0928\u093e \u0918\u091f\u093f\u0924 \u0939\u094b, \u0939\u0948 :",
"options": [
"7/16",
@@ -11330,6 +11926,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 38,
"question": "\u092f\u0926\u093f \u0938\u092e\u0941\u091a\u094d\u091a\u092f {0, 1, 2, 3, ......, 10} \u092e\u0947\u0902 \u0938\u0947 \u0926\u094b \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0928\u093f\u0915\u093e\u0932\u0940 \u0917\u0908\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u092f\u094b\u0917\u092b\u0932 \u0924\u0925\u093e \u0909\u0928\u0915\u0947 \u0905\u0902\u0924\u0930 \u0915\u0947 \u0928\u093f\u0930\u092a\u0947\u0915\u094d\u0937 \u092e\u093e\u0928, \u0926\u094b\u0928\u094b\u0902 \u0915\u0947 \u091a\u093e\u0930 \u0915\u0947 \u0917\u0941\u0923\u0915 \u0939\u094b\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u093e\u092f\u093f\u0915\u0924\u093e \u0939\u0948 :",
"options": [
"12/55",
@@ -11349,6 +11946,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 14,
"question": "\u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m \u090f\u0935\u0902 \u0906\u0930\u092e\u094d\u092d\u093f\u0915 \u0935\u0947\u0917 v \u0915\u0947 \u090f\u0915 \u0915\u0923-A \u0915\u0940 \u091f\u0915\u094d\u0915\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 m/2 \u0915\u0947 \u0938\u094d\u0925\u093f\u0930 \u0915\u0923-B \u0938\u0947 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092f\u0939 \u091f\u0915\u094d\u0915\u0930 \u0938\u092e\u0941\u092a\u0942\u0930\u094d\u0923 \u090f\u0935\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925 \u0939\u0948\u0964 \u091f\u0915\u094d\u0915\u0930 \u0915\u0947 \u092c\u093e\u0926 \u0921\u093f-\u092c\u094d\u0930\u0949\u0917\u0932\u0940 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u03bbA \u090f\u0935\u0902 \u03bbB \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0939\u094b\u0917\u093e :",
"options": [
"\u03bbA/\u03bbB = 1/3",
@@ -11368,6 +11966,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u090f\u0915 \u0930\u0947\u0921\u093f\u092f\u094b\u0927\u0930\u094d\u092e\u0940 \u0928\u093e\u092d\u093f\u0915-A \u091c\u093f\u0938\u0915\u0940 \u0905\u0930\u094d\u0927-\u0906\u092f\u0941 T \u0939\u0948, \u0915\u093e \u0915\u094d\u0937\u092f \u090f\u0915 \u0928\u093e\u092d\u093f\u0915-B \u092e\u0947\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0938\u092e\u092f t=0 \u092a\u0930 \u0915\u094b\u0908 \u092d\u0940 \u0928\u093e\u092d\u093f\u0915-B \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u090f\u0915 \u0938\u092e\u092f t \u092a\u0930 \u0928\u093e\u092d\u093f\u0915\u094b\u0902 B \u0924\u0925\u093e A \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 0.3 \u0939\u0948\u0964 \u0924\u094b t \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"t = T/2 log 2/log 1.3",
@@ -11387,6 +11986,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "n-p-n \u091f\u094d\u0930\u093e\u0902\u091c\u093f\u0938\u094d\u091f\u0930 \u0938\u0947 \u092c\u0928\u093e\u092f\u0947 \u0939\u0941\u090f \u090f\u0915 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0909\u0924\u094d\u0938\u0930\u094d\u091c\u0915 \u092a\u094d\u0930\u0935\u0930\u094d\u0927\u0915 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u0928\u093f\u0935\u0947\u0936\u093f\u0924 \u0924\u0925\u093e \u0928\u093f\u0930\u094d\u0917\u0924 \u0935\u093f\u092d\u0935\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0923\u093e\u0902\u0924\u0930 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"45\u00b0",
@@ -11406,6 +12006,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 15,
"question": "\u0906\u092f\u093e\u092e \u092e\u0949\u0921\u0941\u0932\u0928 \u092e\u0947\u0902 \u091c\u094d\u092f\u093e\u0935\u0915\u094d\u0930\u0940\u092f \u0935\u093e\u0939\u0915 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094b \u03c9c \u0938\u0947 \u0924\u0925\u093e \u0938\u0902\u0915\u0947\u0924 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u094b \u03c9m \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u0902\u0915\u0947\u0924 \u0915\u0940 \u092c\u0948\u0902\u0921 \u091a\u094c\u0921\u093c\u093e\u0908 (\u0394\u03c9m) \u0915\u094b \u0907\u0938 \u0924\u0930\u0939 \u091a\u0941\u0928\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u0394\u03c9m << \u03c9c\u0964 \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928\u0938\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u092e\u0949\u0921\u0941\u0932\u0924 \u0924\u0930\u0902\u0917 \u092e\u0947\u0902 \u0928\u0939\u0940\u0902 \u0939\u094b\u0917\u0940 ?",
"options": [
"\u03c9m",
@@ -11425,6 +12026,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\u092f\u0926\u093f 5(tan\u00b2 x - cos\u00b2 x) = 2cos 2x + 9, \u0924\u094b cos 4x \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"1/3",
@@ -11444,6 +12046,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 39,
"question": "\u092e\u093e\u0928\u093e \u090f\u0915 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092e\u0940\u0928\u093e\u0930 AB \u0910\u0938\u0940 \u0939\u0948 \u0915\u093f \u0909\u0938\u0915\u093e \u0938\u093f\u0930\u093e A \u092d\u0942\u092e\u093f \u092a\u0930 \u0939\u0948\u0964 \u092e\u093e\u0928\u093e AB \u0915\u093e \u092e\u0927\u094d\u092f \u092c\u093f\u0902\u0926\u0941 C \u0939\u0948 \u0924\u0925\u093e \u092d\u0942\u092e\u093f \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 P \u0910\u0938\u093e \u0939\u0948 \u0915\u093f AP = 2AB \u092f\u0926\u093f \u2220BPC = \u03b2 \u0939\u0948, \u0924\u094b tan \u03b2 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/4",
@@ -11463,6 +12066,7 @@
"level": "high school",
"category_en": "reasoning",
"category_original_lang": "\u0924\u0930\u094d\u0915\u0936\u0915\u094d\u0924\u093f",
+ "page_num": 39,
"question": "\u0928\u093f\u092e\u094d\u0928 \u0915\u0925\u0928 (p\u2192q)\u2192[(~p\u2192q)\u2192q] \u0939\u0948 :",
"options": [
"~p\u2192q \u0915\u0947 \u0938\u092e\u0924\u0941\u0932\u094d\u092f \u0939\u0948",
@@ -11482,6 +12086,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u092a\u094d\u0930\u092c\u0932\u0924\u092e \u0905\u092a\u091a\u093e\u092f\u0915 \u0939\u0948 :",
"options": [
"Cr\u00b3\u207a",
@@ -11501,6 +12106,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u091c\u092c \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u0915\u093e 0.2 g \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u0947 20 g \u092e\u0947\u0902 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u093e \u0939\u093f\u092e\u093e\u0902\u0915 0.45\u00b0C \u0938\u0947 \u0915\u092e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u092e\u0947\u0902 \u0938\u0902\u092f\u094b\u0917\u093f\u0924 \u0939\u094b\u0915\u0930 \u0926\u094d\u0935\u093f\u092e\u0947\u0930 (\u0921\u093e\u0907\u092e\u0930) \u092c\u0928\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u090f\u0938\u093f\u091f\u093f\u0915 \u090f\u0938\u093f\u0921 \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0924\u093e \u0938\u0902\u092f\u094b\u0917\u0928 \u0939\u094b\u0917\u093e : (\u092c\u0947\u0902\u091c\u0940\u0928 \u0915\u0947 \u0932\u093f\u090f Kf = 5.12 K kg mol\u207b\u00b9)",
"options": [
"74.6%",
@@ -11520,6 +12126,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 19,
"question": "\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u092a\u0930\u092e\u093e\u0923\u0941 \u0915\u0947 \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u092c\u094b\u0930 \u0915\u0915\u094d\u0937\u093e \u0915\u093e \u0905\u0930\u094d\u0927\u0935\u094d\u092f\u093e\u0938 \u0939\u094b\u0917\u093e : (\u092a\u094d\u0932\u093e\u0902\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 h = 6.6262 \u00d7 10\u207b\u00b3\u2074 Js; \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u0915\u093e \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 = 9.1091 \u00d7 10\u207b\u00b3\u00b9 kg; \u0907\u0932\u0947\u0915\u094d\u091f\u094d\u0930\u0949\u0928 \u092a\u0930 \u0906\u0935\u0947\u0936 e = 1.60210 \u00d7 10\u207b\u00b9\u2079 C; \u0928\u093f\u0930\u094d\u0935\u093e\u0924 \u0915\u093e \u092a\u0930\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924\u093e\u0902\u0915 \u03b5\u2080 = 8.854185 \u00d7 10\u207b\u00b9\u00b2 kg\u207b\u00b9m\u207b\u00b3A\u00b2)",
"options": [
"0.529 \u00c5",
@@ -11539,6 +12146,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "0\u00b0C \u092a\u0930 \u0930\u0916\u0947 \u0939\u0941\u090f \u090f\u0915 \u0918\u0928 \u092a\u0930 \u090f\u0915 \u0926\u092c\u093e\u0935 P \u0932\u0917\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0935\u0939 \u0938\u092d\u0940 \u0924\u0930\u092b \u0938\u0947 \u092c\u0930\u093e\u092c\u0930 \u0938\u0902\u092a\u0940\u0921\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0918\u0928 \u0915\u0947 \u092a\u0926\u093e\u0930\u094d\u0925 \u0915\u093e \u0906\u092f\u0924\u0928 \u092a\u094d\u0930\u0924\u094d\u092f\u093e\u0938\u094d\u0925\u0924\u093e \u0917\u0941\u0923\u093e\u0902\u0915 K \u090f\u0935\u0902 \u0930\u0947\u0916\u0940\u092f \u092a\u094d\u0930\u0938\u093e\u0930 \u0917\u0941\u0923\u093e\u0902\u0915 \u03b1 \u0939\u0948\u0964 \u092f\u0926\u093f \u0918\u0928 \u0915\u094b \u0917\u0930\u094d\u092e \u0915\u0930\u0915\u0947 \u092e\u0942\u0932 \u0906\u0915\u093e\u0930 \u092e\u0947\u0902 \u0932\u093e\u0928\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u0915\u094b \u0915\u093f\u0924\u0928\u093e \u092c\u0922\u093c\u093e\u0928\u093e \u092a\u0921\u093c\u0947\u0917\u093e?",
"options": [
"P/3\u03b1K",
@@ -11558,6 +12166,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 6,
"question": "\u0938\u094d\u0925\u093f\u0930 \u0926\u093e\u092c \u0924\u0925\u093e \u0938\u094d\u0925\u093f\u0930 \u0906\u092f\u0924\u0928 \u092a\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u090a\u0937\u094d\u092e\u093e\u092f\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 Cp \u0924\u0925\u093e Cv \u0939\u0948\u0902\u0964 \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0915\u093f\n\u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, Cp - Cv = a\n\u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947, Cp - Cv = b\na \u0914\u0930 b \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0938\u0939\u0940 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0939\u094b\u0917\u093e :",
"options": [
"a = 1/14 b",
@@ -11577,6 +12186,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u092e\u093e\u0928\u093e k \u090f\u0915 \u0910\u0938\u093e \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0948 \u0915\u093f \u0924\u094d\u0930\u093f\u092d\u0941\u091c, \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 (k, -3k), (5, k) \u0924\u0925\u093e (-k, 2) \u0939\u0948\u0902, \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 28 \u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908 \u0939\u0948, \u0924\u094b \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0932\u092e\u094d\u092c-\u0915\u0947\u0902\u0926\u094d\u0930 \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\\(\\left(1, \\frac{3}{4}\\right)\\)",
@@ -11596,6 +12206,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0935\u093e\u0932\u0947 \u0910\u0938\u0947 \u0935\u0943\u0924\u094d\u0924, \u091c\u094b \u0935\u0915\u094d\u0930 \\(y = 4 - x^2\\) \u0924\u0925\u093e \u0930\u0947\u0916\u093e\u0913\u0902 \\(y = |x|\\) \u0915\u094b \u0938\u094d\u092a\u0930\u094d\u0936 \u0915\u0930\u0924\u093e \u0939\u0948, \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u0939\u0948 :",
"options": [
"\\(2(\\sqrt{2} - 1)\\)",
@@ -11615,6 +12226,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 35,
"question": "\u090f\u0915 \u0926\u0940\u0930\u094d\u0918\u0935\u0943\u0924\u094d\u0924, \u091c\u093f\u0938\u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u092e\u0942\u0932 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0939\u0948, \u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e \\(\\frac{1}{2}\\) \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0938\u0915\u0940 \u090f\u0915 \u0928\u093f\u092f\u0924\u093e \\(x = -4\\) \u0939\u0948, \u0924\u094b \u0909\u0938\u0915\u0947 \u092c\u093f\u0902\u0926\u0941 \\(\\left(1, \\frac{3}{2}\\right)\\) \u092a\u0930 \u0909\u0938\u0915\u0947 \u0905\u092d\u093f\u0932\u0902\u092c \u0915\u093e \u0938\u092e\u0940\u0915\u0930\u0923 \u0939\u0948 :",
"options": [
"\\(4x - 2y = 1\\)",
@@ -11634,6 +12246,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "\u090f\u0915 \u0938\u094d\u0935\u0938\u094d\u0925 \u092e\u0928\u0941\u0937\u094d\u092f \u0915\u0947 \u0936\u0930\u0940\u0930 \u092e\u0947\u0902 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u0940 \u0926\u0943\u0937\u094d\u091f\u093f \u0938\u0947 \u092c\u0939\u0941\u0932\u0924\u093e \u0938\u0947 \u092e\u093f\u0932\u0928\u0947 \u0935\u093e\u0932\u0947 \u0924\u0924\u094d\u0935 \u0939\u0948\u0902 : \u0911\u0915\u094d\u0938\u0940\u091c\u0928 (61.4%); \u0915\u093e\u0930\u094d\u092c\u0928 (22.9%); \u0939\u093e\u0907\u0921\u094d\u0930\u094b\u091c\u0928 (10.0%); \u0924\u0925\u093e \u0928\u093e\u0907\u091f\u094d\u0930\u094b\u091c\u0928 (2.6%)\u0964 75 kg \u0935\u091c\u0928 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0947 \u0936\u0930\u0940\u0930 \u0938\u0947 \u0938\u092d\u0940 1H \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0915\u094b 2H \u092a\u0930\u092e\u093e\u0923\u0941\u0913\u0902 \u0938\u0947 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u094b \u0909\u0938\u0915\u0947 \u092d\u093e\u0930 \u092e\u0947\u0902 \u091c\u094b \u0935\u0943\u0926\u094d\u0927\u093f \u0939\u094b\u0917\u0940, \u0935\u0939 \u0939\u0948 :",
"options": [
"7.5 kg",
@@ -11653,6 +12266,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 23,
"question": "CoCl3.6H2O \u0915\u0947 0.1 M \u0935\u093f\u0932\u092f\u0928 \u0915\u0947 100 mL \u0915\u094b AgNO3 \u0915\u0947 \u0906\u0927\u093f\u0915\u094d\u092f \u092e\u0947\u0902 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 1.2 x 10^22 \u0906\u092f\u0928 \u0905\u0935\u0915\u094d\u0937\u0947\u092a\u093f\u0924 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u0902\u0915\u0941\u0932 \u0939\u0948 :",
"options": [
"[Co(H2O)6]Cl3",
@@ -11672,6 +12286,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u092e\u093e\u0928\u093e a, b, c \u2208 R\u0964 \u092f\u0926\u093f f(x) = ax\u00b2 + bx + c \u0910\u0938\u093e \u0939\u0948 \u0915\u093f a + b + c = 3 \u0939\u0948 \u0924\u0925\u093e \u0938\u092d\u0940 x, y \u2208 R \u0915\u0947 \u0932\u093f\u090f f(x + y) = f(x) + f(y) + xy \u0939\u0948, \u0924\u094b 10 \u03a3 f(n) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"165",
@@ -11691,6 +12306,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "lim x\u2192\u03c0/2 cot x - cos x / (\u03c0 - 2x)\u00b3 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"1/16",
@@ -11710,6 +12326,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 32,
"question": "\u092f\u0926\u093f x \u2208 (0, 1/4) \u0915\u0947 \u0932\u093f\u090f tan\u207b\u00b9(6x\u221ax / 1 - 9x\u00b3) \u0915\u093e \u0905\u0935\u0915\u0932\u0928 \u221ax \u22c5 g(x) \u0939\u0948, \u0924\u094b g(x) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"3x\u221ax / 1 - 9x\u00b3",
@@ -11729,6 +12346,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u0935\u0915\u094d\u0930 y(x-2)(x-3) = x + 6 \u0915\u0947 \u0909\u0938 \u092c\u093f\u0902\u0926\u0941 \u092a\u0930, \u091c\u0939\u093e\u0901 \u0935\u0915\u094d\u0930 y-\u0905\u0915\u094d\u0937 \u0915\u094b \u0915\u093e\u091f\u0924\u0940 \u0939\u0948, \u0916\u0940\u0902\u091a\u093e \u0917\u092f\u093e \u0905\u092d\u093f\u0932\u0902\u092c \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 ?",
"options": [
"(1/2, 1/2)",
@@ -11748,6 +12366,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u090f\u0915 \u092b\u0942\u0932\u094b\u0902 \u0915\u0940 \u0915\u094d\u092f\u093e\u0930\u0940, \u091c\u094b \u090f\u0915 \u0935\u0943\u0924\u094d\u0924 \u0915\u0947 \u0928\u093f\u092e\u094d\u0928 \u0916\u0902\u0921 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0939\u0948, \u0915\u094b \u0918\u0947\u0930\u093e\u092c\u0902\u0926\u0940 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092c\u0940\u0938 \u092e\u0940\u091f\u0930 \u0924\u093e\u0930 \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0964 \u0924\u094b \u092b\u0942\u0932\u094b\u0902 \u0915\u0940 \u0915\u094d\u092f\u093e\u0930\u0940 \u0915\u093e \u0905\u0927\u093f\u0915\u0924\u092e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 (\u0935\u0930\u094d\u0917 \u092e\u0940. \u092e\u0947\u0902), \u0939\u0948 :",
"options": [
"10",
@@ -11767,6 +12386,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 33,
"question": "\u092e\u093e\u0928\u094b I_n = \u222b tan^n x dx, (n > 1) \u0939\u0948 \u0964 \u092f\u0926\u093f I_4 + I_6 = a tan^5 x + bx^5 + C \u0939\u0948, \u091c\u0939\u093e\u0901 C \u090f\u0915 \u0938\u092e\u093e\u0915\u0932\u0928 \u0905\u0935\u092f \u0939\u0948, \u0924\u094b \u0915\u094d\u0930\u092e\u093f\u0924 \u092f\u0941\u0917\u094d\u092e (a, b) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"(1/5, 0)",
@@ -11786,6 +12406,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 25,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092c\u0939\u0941\u0932\u0915\u094b\u0902 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0947 \u092c\u0939\u0941\u0932\u0915 \u092e\u0947\u0902 \u091c\u0932 \u0905\u092a\u0918\u091f\u0928 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0938\u092e\u094d\u092e\u093f\u0932\u093f\u0924 \u0939\u0948 ?",
"options": [
"\u0928\u093e\u0907\u0932\u0949\u0928 6, 6",
@@ -11805,6 +12426,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u090f\u0915 25 cm \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u0947 \u0905\u092a\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0915\u094b \u090f\u0915 20 cm \u092a\u0930\u093f\u092e\u093e\u0923 \u0915\u0940 \u092b\u094b\u0915\u0938 \u0926\u0942\u0930\u0940 \u0915\u0947 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 15 cm \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0930\u0916\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u0941\u0902\u091c \u0905\u092a\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u092a\u0930 \u0906\u092a\u0935\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u0939\u094b\u0917\u093e :",
"options": [
"\u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0914\u0930 \u0905\u092d\u093f\u0938\u093e\u0930\u0940 \u0932\u0947\u0902\u0938 \u0938\u0947 40 cm \u0926\u0942\u0930\u0940 \u092a\u0930",
@@ -11824,6 +12446,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 13,
"question": "\u092f\u0902\u0917 \u0915\u0947 \u090f\u0915 \u0926\u094d\u0935\u093f\u0926\u094d\u0935\u093e\u0930 \u092a\u094d\u0930\u092f\u094b\u0917 \u092e\u0947\u0902, \u0926\u094d\u0935\u093e\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 0.5 mm \u090f\u0935\u0902 \u092a\u0930\u094d\u0926\u0947 \u0915\u0940 \u0926\u0942\u0930\u0940 \u0939\u0948 150 cm \u0939\u0948\u0964 \u090f\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u092a\u0941\u0902\u091c, \u091c\u093f\u0938\u092e\u0947\u0902 650 nm \u0914\u0930 520 nm \u0915\u0940 \u0926\u094b \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0939\u0948\u0902, \u0915\u094b \u092a\u0930\u094d\u0926\u0947 \u092a\u0930 \u0935\u094d\u092f\u0924\u093f\u0915\u0930\u0923 \u092b\u094d\u0930\u093f\u0902\u091c \u092c\u0928\u093e\u0928\u0947 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0909\u092a\u092f\u0941\u0915\u094d\u0924 \u0915\u0947\u0902\u0926\u094d\u0930\u0940\u092f \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0935\u0939 \u092c\u093f\u0902\u0926\u0941, \u091c\u0939\u093e\u0901 \u0926\u094b\u0928\u094b\u0902 \u0924\u0930\u0902\u0917\u0926\u0948\u0930\u094d\u0918\u094d\u092f \u0915\u0940 \u0926\u0940\u092a\u094d\u0924 \u092b\u094d\u0930\u093f\u0902\u091c\u0947\u0902 \u0938\u092e\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0915\u0940 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0926\u0942\u0930\u0940 \u0939\u094b\u0917\u0940 :",
"options": [
"1.56 mm",
@@ -11843,6 +12466,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u092b\u0932\u0928 f : R \u2192 [ -1/2, 1/2 ] \u091c\u094b f(x) = x / (1 + x^2) \u0926\u094d\u0935\u093e\u0930\u093e \u092a\u0930\u093f\u092d\u093e\u0937\u093f\u0924 \u0939\u0948 :",
"options": [
"\u090f\u0915\u0947\u0915 \u0939\u0948 \u092a\u0930\u0902\u0924\u0941 \u0906\u0915\u094d\u0930\u093e\u092e\u0940 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964",
@@ -11862,6 +12486,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u0927\u0928\u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 n \u0915\u0947 \u0932\u093f\u090f, \u0926\u094d\u0935\u093f\u0918\u093e\u0924\u0940 \u0938\u092e\u0940\u0915\u0930\u0923 x(x + 1) + (x + 1)(x + 2) + .... + (x + n - 1)(x + n) = 10n \u0915\u0947 \u0926\u094b \u0915\u094d\u0930\u092e\u093f\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0902\u0915 \u0939\u0932 \u0939\u0948\u0902, \u0924\u094b n \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"9",
@@ -11881,6 +12506,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 29,
"question": "\u092e\u093e\u0928\u094b \u03c9 \u090f\u0915 \u0938\u092e\u094d\u092e\u093f\u0936\u094d\u0930 \u0938\u0902\u0916\u094d\u092f\u093e \u0910\u0938\u0940 \u0939\u0948 \u0915\u093f 2\u03c9 + 1 = z \u091c\u0939\u093e\u0901 z = \u221a-3 \u0939\u0948\u0964 \u092f\u0926\u093f |1 1 1| |1 -\u03c9^2 -1 \u03c9^2| |1 \u03c9^2 \u03c9| = 3k \u0939\u0948 \u0924\u094b k \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"z",
@@ -11900,6 +12526,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 10,
"question": "\u090f\u0915 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0906\u0918\u0942\u0930\u094d\u0923 6.7 \u00d7 10\u207b\u00b2 Am\u00b2 \u090f\u0935\u0902 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 7.5 \u00d7 10\u207b\u2076 kg m\u00b2 \u0935\u093e\u0932\u0940 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0938\u0941\u0908, \u090f\u0915 0.01 T \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u0915\u0947 \u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092e\u0947\u0902 \u0938\u0930\u0932 \u0906\u0935\u0930\u094d\u0924\u094d\u0924 \u0926\u094b\u0932\u0928 \u0915\u0930 \u0930\u0939\u0940 \u0939\u0948\u0964 10 \u092a\u0942\u0930\u0947 \u0926\u094b\u0932\u0928 \u0915\u093e \u0938\u092e\u092f \u0939\u094b\u0917\u093e :",
"options": [
"6.65 s",
@@ -11919,6 +12546,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "m=10^-2 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u090f\u0915 \u092a\u093f\u0902\u0921 \u090f\u0915 \u092e\u093e\u0927\u094d\u092f\u092e \u092e\u0947\u0902 \u091c\u093e \u0930\u0939\u093e \u0939\u0948 \u0914\u0930 \u090f\u0915 \u0918\u0930\u094d\u0937\u0923 \u092c\u0932 F = - k v^2 \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092a\u093f\u0902\u0921 \u0915\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u0935\u0947\u0917 v_0 = 10 ms^-1 \u0939\u0948\u0964 \u092f\u0926\u093f 10 s \u0915\u0947 \u092c\u093e\u0926 \u0909\u0938\u0915\u0940 \u090a\u0930\u094d\u091c\u093e 1/8 m v_0^2 \u0939\u0948 \u0924\u094b k \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"10^-3 kg m^-1",
@@ -11938,6 +12566,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 3,
"question": "1 kg \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0915\u093e \u090f\u0915 \u0915\u0923, \u090f\u0915 \u0938\u092e\u092f \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 (time dependent) \u092c\u0932 F = 6t \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u0923 \u0935\u093f\u0930\u093e\u092e\u093e\u0935\u0938\u094d\u0925\u093e \u0938\u0947 \u091a\u0932\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u0939\u0932\u0947 1 s \u092e\u0947\u0902 \u092c\u0932 \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0939\u094b\u0917\u093e :",
"options": [
"4.5 J",
@@ -11957,6 +12586,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f A = \\(\\begin{bmatrix} 2 & -3 \\\\ -4 & 1 \\end{bmatrix}\\) \u0939\u0948, \u0924\u094b adj (3A^2 + 12A) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"\\(\\begin{bmatrix} 51 & 63 \\\\ 84 & 72 \\end{bmatrix}\\)",
@@ -11976,6 +12606,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 30,
"question": "\u092f\u0926\u093f S, 'b' \u0915\u0940 \u0909\u0928 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0928\u094b\u0902 \u0915\u093e \u0938\u092e\u0942\u0939 \u0939\u0948 \u091c\u093f\u0928\u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0915\u094b\u0908 \u0939\u0932 \u0928\u0939\u0940\u0902 \u0939\u0948, \u0924\u094b S \u0939\u0948 :\n\\[ x + y + z = 1 \\]\n\\[ x + ay + z = 1 \\]\n\\[ ax + by + z = 0 \\]\n",
"options": [
"\u090f\u0915 \u0905\u092a\u0930\u093f\u092e\u093f\u0924 \u0938\u092e\u0942\u0939 \u0939\u0948",
@@ -11995,6 +12626,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 27,
"question": "\u092a\u0930\u093e\u0915\u094d\u0938\u093e\u0907\u0921 \u0915\u0940 \u0909\u092a\u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902, 3-\u092e\u0947\u0925\u093f\u0932-\u092a\u0947\u0928\u094d\u091f-2-\u0908\u0928, HBr \u0915\u0947 \u0938\u093e\u0925 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u0930\u0928\u0947 \u092a\u0930 \u090f\u0915 \u0938\u0902\u0915\u0932\u0928 \u0909\u0924\u094d\u092a\u093e\u0926 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0909\u0924\u094d\u092a\u093e\u0926 \u0915\u0947 \u0932\u093f\u090f \u0938\u092e\u094d\u092d\u0935 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0938\u092e\u093e\u0935\u092f\u0935\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u094b\u0917\u0940 :",
"options": [
"\u0926\u094b",
@@ -12014,6 +12646,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u090f\u0915 \u0935\u094d\u092f\u0915\u094d\u0924\u093f X \u0915\u0947 7 \u092e\u093f\u0924\u094d\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 4 \u092e\u0939\u093f\u0932\u093e\u090f\u0901 \u0939\u0948\u0902 \u0924\u0925\u093e 3 \u092a\u0941\u0930\u0941\u0937 \u0939\u0948\u0902, \u0909\u0938\u0915\u0940 \u092a\u0924\u094d\u0928\u0940 Y \u0915\u0947 \u092d\u0940 7 \u092e\u093f\u0924\u094d\u0930 \u0939\u0948\u0902, \u091c\u093f\u0928\u092e\u0947\u0902 3 \u092e\u0939\u093f\u0932\u093e\u090f\u0901 \u0924\u0925\u093e 4 \u092a\u0941\u0930\u0941\u0937 \u0939\u0948\u0902\u0964 \u092f\u0939 \u092e\u093e\u0928\u093e \u0917\u092f\u093e \u0915\u093f X \u0924\u0925\u093e Y \u0915\u093e \u0915\u094b\u0908 \u0909\u092a\u0938\u093e\u092e\u093e\u0928\u094d\u092f (common) \u092e\u093f\u0924\u094d\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0924\u094b \u0909\u0928 \u0924\u0930\u0940\u0915\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u093f\u0928\u092e\u0947\u0902 X \u0924\u0925\u093e Y \u090f\u0915 \u0938\u093e\u0925 3 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0924\u0925\u093e 3 \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u0915\u094b \u092a\u093e\u0930\u094d\u091f\u0940 \u092a\u0930 \u092c\u0941\u0932\u093e\u090f\u0901 \u0915\u093f 3 \u092e\u093f\u0924\u094d\u0930 X \u0924\u0925\u093e Y \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0947 \u0924\u0940\u0928-\u0924\u0940\u0928 \u092e\u093f\u0924\u094d\u0930 \u0906\u092f\u0947\u0902, \u0939\u0948 :",
"options": [
"468",
@@ -12033,6 +12666,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "(21C1 - 10C1) + (21C2 - 10C2) + (21C3 - 10C3) + (21C4 - 10C4) + ..... + (21C10 - 10C10) \u0915\u093e \u092e\u093e\u0928 \u0939\u0948 :",
"options": [
"2^21 - 2^10",
@@ -12052,6 +12686,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 31,
"question": "\u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u0924\u0940\u0928 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 a, b \u0924\u0925\u093e c \u0915\u0947 \u0932\u093f\u090f 9(25a^2 + b^2) + 25(c^2 - 3ac) = 15b(3a + c) \u0939\u0948, \u0924\u094b :",
"options": [
"b, c \u0924\u0925\u093e a \u0938\u092e\u093e\u0928\u094d\u0924\u0930 \u0936\u094d\u0930\u0947\u0923\u0940 \u092e\u0947\u0902 \u0939\u0948\u0902",
@@ -12071,6 +12706,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 2,
"question": "\u090f\u0915 \u092e\u0928\u0941\u0937\u094d\u092f, \u090f\u0915 \u0935\u093f\u0936\u093e\u0932\u0915\u093e\u092f \u092e\u093e\u0928\u0935 \u092e\u0947\u0902 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0915\u093f \u0909\u0938\u0915\u0940 \u0930\u0947\u0916\u0940\u092f \u0935\u093f\u092e\u093e\u090f\u0901 9 \u0917\u0941\u0928\u093e \u092c\u0922\u093c \u091c\u093e\u0924\u0940 \u0939\u0948\u0902\u0964 \u092e\u093e\u0928\u094b \u0915\u093f \u0909\u0938\u0915\u0947 \u0918\u0928\u0924\u094d\u0935 \u092e\u0947\u0902 \u0915\u094b\u0908 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u094b \u0909\u0938\u0915\u0947 \u091f\u093e\u0901\u0917 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0932\u0935 \u0915\u093f\u0924\u0928\u0947 \u0917\u0941\u0928\u093e \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u093e?",
"options": [
"9",
@@ -12090,6 +12726,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 11,
"question": "15 \u03a9 \u0915\u0947 \u0915\u0941\u0923\u094d\u0921\u0932\u0940 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u0947 \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0938\u0947 \u091c\u092c 5 mA \u0915\u0940 \u0927\u093e\u0930\u093e \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u094b \u0935\u0939 \u092a\u0942\u0930\u094d\u0923 \u0938\u094d\u0915\u0947\u0932 \u0935\u093f\u091a\u0932\u0928 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0947 0-10 V \u092a\u0930\u093e\u0938 \u0915\u0947 \u0935\u094b\u0932\u094d\u091f\u092e\u0940\u091f\u0930 \u092e\u0947\u0902 \u092c\u0926\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0915\u093f\u0938 \u092e\u093e\u0928 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927 \u0915\u094b \u0917\u0948\u0932\u094d\u0935\u0947\u0928\u094b\u092e\u0940\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0936\u094d\u0930\u0947\u0923\u0940 \u0915\u094d\u0930\u092e \u092e\u0947\u0902 \u0932\u0917\u093e\u0928\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"1.985 \u00d7 10\u00b3 \u03a9",
@@ -12109,6 +12746,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 5,
"question": "100 gm \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 \u0935\u093e\u0932\u093e \u0924\u093e\u0901\u092c\u0947 \u0915\u0947 \u090f\u0915 \u0917\u094b\u0932\u0947 \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 T \u0939\u0948\u0964 \u0909\u0938\u0947 \u090f\u0915 170 gm \u092a\u093e\u0928\u0940 \u0938\u0947 \u092d\u0930\u0947 \u0939\u0941\u090f 100 gm \u0915\u0947 \u0924\u093e\u0901\u092c\u0947 \u0915\u0947 \u0915\u0948\u0932\u094b\u0930\u0940\u092e\u0940\u091f\u0930, \u091c\u094b\u0915\u093f \u0915\u092e\u0930\u0947 \u0915\u0947 \u0924\u093e\u092a\u092e\u093e\u0928 \u092a\u0930 \u0939\u0948, \u092e\u0947\u0902 \u0921\u093e\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0924\u0924\u094d\u092a\u0936\u094d\u091a\u093e\u0924\u094d \u0928\u093f\u0915\u093e\u092f \u0915\u093e \u0924\u093e\u092a\u092e\u093e\u0928 75\u00b0C \u092a\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 T \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"800\u00b0C",
@@ -12128,6 +12766,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u090f\u0915 \u0905\u0935\u0924\u0932\u0935\u0932\u092f \u092c\u093f\u0902\u0926\u0941 P(\u221a2, \u221a3) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u0925\u093e \u0909\u0938\u0915\u0940 \u0928\u093e\u092d\u093f\u092f\u093e\u0901 (\u00b12, 0) \u092a\u0930 \u0939\u0948\u0902, \u0924\u094b \u0905\u0935\u0924\u0932\u0935\u0932\u092f \u0915\u0947 \u092c\u093f\u0902\u0926\u0941 P \u092a\u0930 \u0916\u0940\u0902\u091a\u0940 \u0917\u0908 \u0938\u094d\u092a\u0930\u094d\u0936\u0930\u0947\u0916\u093e \u091c\u093f\u0938 \u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"(2\u221a2, 3\u221a3)",
@@ -12147,6 +12786,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u090f\u0915 \u0938\u092e\u0924\u0932 \u091c\u094b \u092c\u093f\u0902\u0926\u0941 (1, \u22121, \u22121) \u0938\u0947 \u0939\u094b\u0915\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u091c\u093f\u0938\u0915\u093e \u0905\u092d\u093f\u0932\u092e\u094d\u092c \u0926\u094b\u0928\u094b\u0902 \u0930\u0947\u0916\u093e\u0913\u0902 x\u22121/1 = y+2/\u22122 = z\u22124/3 \u0924\u0925\u093e x\u22122/2 = y+1/\u22121 = z+7/\u22121 \u092a\u0930 \u0932\u0902\u092c \u0939\u0948, \u0915\u0940 \u092c\u093f\u0902\u0926\u0941 (1, 3, \u22127) \u0938\u0947 \u0926\u0942\u0930\u0940 \u0939\u0948 :",
"options": [
"10/\u221a83",
@@ -12166,6 +12806,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 36,
"question": "\u092f\u0926\u093f \u092c\u093f\u0902\u0926\u0941 P(1, \u22122, 3) \u0915\u093e \u0938\u092e\u0924\u0932 2x+3y\u22124z+22=0 \u092e\u0947\u0902 \u0935\u0939 \u092a\u094d\u0930\u0924\u093f\u0935\u093f\u0902\u092c \u091c\u094b \u0930\u0947\u0916\u093e x/1 = y/4 = z/5 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948, Q \u0939\u0948, \u0924\u094b PQ \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2\u221a42",
@@ -12185,6 +12826,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "\u0926\u094b \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\u0913\u0902, R1 \u0924\u0925\u093e R2 \u0915\u0947 \u092a\u0942\u0930\u094d\u0935 \u0918\u093e\u0924\u093e\u0902\u0915\u093f\u0915\u0940 \u0917\u0941\u0923\u0915 \u090f\u0915 \u091c\u0948\u0938\u0947 \u0939\u0948\u0902\u0964 R1 \u0915\u0940 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e R2 \u0915\u0947 \u0938\u0915\u094d\u0930\u093f\u092f\u0923 \u090a\u0930\u094d\u091c\u093e \u0938\u0947 10 kJ mol^\u22121 \u091c\u094d\u092f\u093e\u0926\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e R1 \u0924\u0925\u093e R2 \u0915\u0947 \u0932\u093f\u090f 300 K \u092a\u0930 \u0926\u0930 \u0928\u093f\u092f\u0924\u093e\u0902\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 k1 \u0924\u0925\u093e k2 \u0939\u094b\u0902 \u0924\u094b ln(k2/k1) \u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u093f\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0917\u093e? (R = 8.314 J mol^\u22121K^\u22121)",
"options": [
"6",
@@ -12204,6 +12846,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "\u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0905\u092e\u094d\u0932 (HA) \u0915\u093e pKa \u0924\u0925\u093e \u090f\u0915 \u0926\u0941\u0930\u094d\u092c\u0932 \u0915\u094d\u0937\u093e\u0930\u0915 (BOH) \u0915\u093e pKb \u0915\u094d\u0930\u092e\u0936\u0903 3.2 \u0924\u0925\u093e 3.4 \u0939\u0948\u0902\u0964 \u0909\u0928\u0915\u0947 \u0932\u0935\u0923 (AB) \u0915\u0947 \u0935\u093f\u0932\u092f\u0928 \u0915\u093e pH \u0939\u094b\u0917\u093e :",
"options": [
"7.0",
@@ -12223,6 +12866,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 20,
"question": "\u0935\u093f\u0915\u0930\u094d\u0923 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0915\u0947 \u0915\u093e\u0930\u0923, \u0932\u093f\u0925\u093f\u092f\u092e \u0924\u0925\u093e \u092e\u0948\u0917\u094d\u0928\u0940\u0936\u093f\u092f\u092e \u0926\u094b\u0928\u094b\u0902 \u0915\u0908 \u090f\u0915 \u091c\u0948\u0938\u0947 \u0917\u0941\u0923 \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902 \u092b\u093f\u0930 \u092d\u0940, \u0935\u0939 \u090f\u0915 \u091c\u094b \u0917\u0932\u0924 \u0939\u0948, \u0939\u0948 :",
"options": [
"\u0926\u094b\u0928\u094b\u0902 \u0928\u093e\u0907\u091f\u094d\u0930\u093e\u0907\u0921 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902",
@@ -12242,6 +12886,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 9,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u092a\u0930\u093f\u092a\u0925 \u092e\u0947\u0902 \u090f\u0915 2 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u0915\u094b 1.0 kV \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u0915\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0932\u0917\u093e\u0928\u093e \u0939\u0948\u0964 1 \u03bcF \u0927\u093e\u0930\u093f\u0924\u093e \u0915\u0947 \u092c\u0939\u0941\u0924 \u0938\u093e\u0930\u0947 \u0938\u0902\u0927\u093e\u0930\u093f\u0924\u094d\u0930 \u091c\u094b \u0915\u093f 300 V \u0935\u093f\u092d\u0935\u093e\u0928\u094d\u0924\u0930 \u0924\u0915 \u0935\u0939\u0928 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0909\u092a\u0932\u092c\u094d\u0927 \u0939\u0948\u0902\u0964",
"options": [
"2",
@@ -12261,6 +12906,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u093e \u0915\u0925\u0928 \u0917\u0932\u0924 \u0939\u0948 ?",
"options": [
"\u0935\u094d\u0939\u0940\u091f\u0938\u094d\u091f\u094b\u0928 \u0938\u0947\u0924\u0941 \u0915\u0940 \u0938\u0941\u0938\u094d\u092a\u0937\u094d\u091f\u0924\u093e \u0938\u092c\u0938\u0947 \u0905\u0927\u093f\u0915 \u0924\u092c \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u092c \u091a\u093e\u0930\u094b\u0902 \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u094b\u0902 \u0915\u093e \u092a\u0930\u093f\u092e\u093e\u0923 \u0924\u0941\u0932\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948\u0964",
@@ -12280,6 +12926,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 16,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0923\u094b\u0902 \u0915\u094b \u0915\u0947\u0936\u093f\u0915\u0940\u092f \u0935\u093f\u0927\u093f \u0938\u0947 \u092a\u093e\u0928\u0940 \u0915\u093e \u092a\u0943\u0937\u094d\u0920 \u0924\u0928\u093e\u0935 T \u0928\u093e\u092a\u0928\u0947 \u0915\u0947 \u0932\u093f\u092f\u0947 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964",
"options": [
"0.15%",
@@ -12299,6 +12946,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 17,
"question": "\u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948,\nC(graphite) + O2(g) \u2192 CO2(g) ; \u0394H\u00b0 = -393.5 kJ mol\u207b\u00b9\nH2(g) + 1/2 O2(g) \u2192 H2O(l) ; \u0394H\u00b0 = -285.8 kJ mol\u207b\u00b9\nCO2(g) + 2H2O(l) \u2192 CH4(g) + 2O2(g) ; \u0394H\u00b0 = +890.3 kJ mol\u207b\u00b9\n\u090a\u092a\u0930 \u0926\u093f\u092f\u0947 \u0917\u092f\u0947 \u0909\u0937\u094d\u092e\u093e\u0930\u0938\u093e\u092f\u0928\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\u094b\u0902 \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 298 K \u092a\u0930 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e\nC(graphite) + 2H2(g) \u2192 CH4(g)\n\u0915\u0947 \u0394H\u00b0 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"-74.8 kJ mol\u207b\u00b9",
@@ -12318,6 +12966,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 17,
"question": "\u090f\u0915 \u0915\u093e\u0930\u094d\u092c\u094b\u0928\u0947\u091f (M2CO3) \u0915\u0947 1 \u0917\u094d\u0930\u093e\u092e \u0915\u094b HCl \u0915\u0947 \u0905\u0924\u093f\u0930\u0947\u0915\u094d\u092f \u092e\u0947\u0902 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0909\u0938\u0938\u0947 0.01186 \u092e\u094b\u0932 CO2 \u092a\u0948\u0926\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 M2CO3 \u0915\u093e \u092e\u094b\u0932\u0930 \u0926\u094d\u0930\u0935\u094d\u092f\u092e\u093e\u0928 g mol\u207b\u00b9 \u092e\u0947\u0902 \u0939\u0948 :",
"options": [
"118.6",
@@ -12337,6 +12986,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 17,
"question": "\u0394U \u091c\u093f\u0938\u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948, \u0935\u0939 \u0939\u0948 :",
"options": [
"\u0930\u0942\u0927\u094d\u0930\u0935 \u0915\u093e\u0930\u094d\u092f",
@@ -12356,6 +13006,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0915 \u092a\u094d\u0930\u0915\u093e\u0936 \u0917\u0924\u093f \u0915\u0940 \u0906\u0927\u0940 \u0917\u0924\u093f \u0938\u0947 10 GHz \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u0947 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917 (microwave) \u0938\u094d\u0930\u094b\u0924 \u0915\u0940 \u0924\u0930\u092b \u091c\u093e \u0930\u0939\u093e \u0939\u0948\u0964 \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u0915 \u0926\u094d\u0935\u093e\u0930\u093e \u092e\u093e\u092a\u0940 \u0917\u092f\u0940 \u0938\u0942\u0915\u094d\u0937\u094d\u092e \u0924\u0930\u0902\u0917 \u0915\u0940 \u0906\u0935\u0943\u0924\u094d\u0924\u093f \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e ? (\u092a\u094d\u0930\u0915\u093e\u0936 \u0915\u0940 \u091a\u093e\u0932 = 3 \u00d7 10^8 ms^\u22121)",
"options": [
"10.1 GHz",
@@ -12375,6 +13026,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 8,
"question": "\u090f\u0915 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0915\u093e \u0938\u094d\u0925\u093f\u0930 \u0926\u094d\u0935\u093f\u0927\u094d\u0930\u0941\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 p \u0939\u0948 \u091c\u094b \u0915\u093f x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u03b8 \u0915\u094b\u0923 \u092c\u0928\u093e\u0924\u093e \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E1 = E \u00ee \u092e\u0947\u0902 \u0930\u0916\u0928\u0947 \u092a\u0930 \u092f\u0939 \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 T1 = \u03c4 k \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0935\u093f\u0926\u094d\u092f\u0941\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 E2 = \u221a3 E1 j \u092e\u0947\u0902 \u0930\u0916\u0928\u0947 \u092a\u0930 \u092f\u0939 \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 T2 = \u2212 T1 \u0915\u093e \u0905\u0928\u0941\u092d\u0935 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0915\u094b\u0923 \u03b8 \u0915\u093e \u092e\u093e\u0928 \u0939\u094b\u0917\u093e :",
"options": [
"30\u00b0",
@@ -12394,6 +13046,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u092a\u094d\u0930\u091c\u093e\u0924\u093f \u0905\u0928\u0941\u091a\u0941\u092e\u094d\u092c\u0915\u0940\u092f \u0928\u0939\u0940\u0902 \u0939\u0948 ?",
"options": [
"O\u2082",
@@ -12413,6 +13066,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0928\u093f\u092e\u094d\u0928 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u0938\u0940 \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0905\u092a\u091a\u092f\u094b\u092a\u091a\u092f (\u0930\u0947\u0921\u0949\u0915\u094d\u0938) \u0905\u092d\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923 \u0939\u0948 ?",
"options": [
"XeF\u2086 + H\u2082O \u2192 XeOF\u2084 + 2HF",
@@ -12432,6 +13086,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u090f\u0915 \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u092e\u0947\u0902 \u092a\u0940.\u092a\u0940.\u090f\u092e. (ppm) \u0938\u094d\u0924\u0930 \u0915\u0940 \u0928\u093f\u092e\u094d\u0928 \u090b\u0923\u093e\u092f\u0928\u094b\u0902 \u0915\u0940 \u0938\u093e\u0902\u0926\u094d\u0930\u0924\u093e \u0939\u0948\u0964
F\u207b = 10; SO\u2084\u00b2\u207b = 100; NO\u2083\u207b = 50
\u0935\u0939/\u0935\u0947 \u090b\u0923\u093e\u092f\u0928 \u091c\u094b \u091c\u0932 \u092a\u094d\u0930\u0924\u093f\u0926\u0930\u094d\u0936 \u0915\u094b \u092a\u0940\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u092a\u092f\u0941\u0915\u094d\u0924 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902/\u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902, \u0939\u0948/\u0939\u0948\u0902 :",
"options": [
"\u092e\u093e\u0924\u094d\u0930 F\u207b",
@@ -12451,6 +13106,7 @@
"level": "high school",
"category_en": "chemistry",
"category_original_lang": "\u0930\u0938\u093e\u092f\u0928 \u0935\u093f\u091c\u094d\u091e\u093e\u0928",
+ "page_num": 21,
"question": "\u0935\u0939 \u0938\u092e\u0942\u0939 \u091c\u093f\u0938\u0938\u0947 \u0938\u092e\u0938\u092e\u0935\u0947\u0924\u093e\u0935\u0948\u0926\u094d\u092f\u0941\u0924\u093f\u0915 \u092a\u094d\u0930\u091c\u093e\u0924\u093f\u092f\u093e\u0901 \u0939\u0948\u0902, \u0939\u0948 :",
"options": [
"O\u00b2\u207b, F\u207b, Na, Mg\u00b2\u207a",
@@ -12470,6 +13126,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u092e\u093e\u0928\u093e \\( \\vec{a} = 2\\hat{i} + \\hat{j} - 2\\hat{k} \\) \u0924\u0925\u093e \\( \\vec{b} = \\hat{i} + \\hat{j} \\) \u0939\u0948\u0964 \u092e\u093e\u0928\u093e \\( \\vec{c} \\) \u090f\u0915 \u0910\u0938\u093e \u0938\u0926\u093f\u0936 \u0939\u0948 \u0915\u093f \\( |\\vec{c} - \\vec{a}| = 3 \\), \\( |(\\vec{a} \\times \\vec{b}) \\times \\vec{c}| = 3 \\) \u0924\u0925\u093e \\( \\vec{c} \\) \u0914\u0930 \\( \\vec{a} \\times \\vec{b} \\) \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0915\u094b\u0923 \\( 30^\\circ \\) \u0939\u0948, \u0924\u094b \\( \\vec{a} \\cdot \\vec{c} \\) \u092c\u0930\u093e\u092c\u0930 \u0939\u0948 :",
"options": [
"2",
@@ -12489,6 +13146,7 @@
"level": "high school",
"category_en": "maths",
"category_original_lang": "\u0917\u0923\u093f\u0924",
+ "page_num": 37,
"question": "\u090f\u0915 \u092c\u0915\u094d\u0938\u0947 \u092e\u0947\u0902 15 \u0939\u0930\u0940 \u0924\u0925\u093e 10 \u092a\u0940\u0932\u0940 \u0917\u0947\u0902\u0926\u0947\u0902 \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u090f\u0915-\u090f\u0915 \u0915\u0930\u0915\u0947 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u092f\u093e, \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u0928 \u0938\u0939\u093f\u0924, 10 \u0917\u0947\u0902\u0926\u0947\u0902 \u0928\u093f\u0915\u093e\u0932\u0940 \u091c\u093e\u090f\u0901, \u0924\u094b \u0939\u0930\u0940 \u0917\u0947\u0902\u0926\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948 :",
"options": [
"6",
@@ -12508,6 +13166,7 @@
"level": "high school",
"category_en": "physics",
"category_original_lang": "\u092d\u094c\u0924\u093f\u0915\u0940",
+ "page_num": 4,
"question": "\u090f\u0915 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e R \u0924\u0925\u093e \u0932\u092e\u094d\u092c\u093e\u0908 l \u0915\u0947 \u090f\u0915 \u0938\u092e\u093e\u0928 \u092c\u0947\u0932\u0928 \u0915\u093e \u0909\u0938\u0915\u0947 \u0905\u092d\u093f\u0932\u092e\u094d\u092c \u0926\u094d\u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 I \u0939\u0948\u0964 \u091c\u0921\u093c\u0924\u094d\u0935 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u0947 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u092e\u093e\u0928 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u092a\u093e\u0924 l/R \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ?",
"options": [
"\\(\\frac{\\sqrt{3}}{2}\\)",