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[
{
"content": "In 4 years, Raj's father age twice as raj, Two years ago, Raj's mother's age twice as raj. If Raj is 32yrs old in eight yrs from now, what is the age of Raj's mother and father?\n\n['A)27', 'B)36', 'C)28 years', 'D)46 years', 'E)91']",
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"content": "Raj present age = 32 - 8 = 24.\nAfter 4 years Raj's age is 28. and Raj's fathers age is 28 x 2 = 56, and his present age is 52.\nTwo years ago, Raj's age is 22. and his mother's age is 22 x 2 = 44. His mother's present age = 46\nAnswer:C",
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]
| aqua-rat | {
"coherence": 2.51,
"complexity": 0.84,
"correctness": 1.98,
"helpfulness": 2.12,
"instruction-following": 2.7,
"safety": 5.95,
"verbosity": 0.72,
"verbosity-coeff": -0.1307
} | 3.4 | 79fa18d9-bb5a-444c-9c60-803e814b638a |
[
{
"content": "In an IT company, there are a total of 60 employees including 50 programmers. The number of male employees is 80, including 35 male programmers. How many employees must be selected to guaranty that we have 3 programmers of the same sex?\n\n['A)15', 'B)50', 'C)55', 'D)35', 'E)65']",
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"content": "You could pick 10 non-programmers, 2 male programmers, and 2 female programmers, and still not have 3 programmers of the same sex. But if you pick one more person, you must either pick a male or a female programmer, so the answer is 15.\nA",
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| aqua-rat | {
"coherence": 3.21,
"complexity": 1.11,
"correctness": 2.45,
"helpfulness": 2.31,
"instruction-following": 2.66,
"safety": 4.38,
"verbosity": 1.05,
"verbosity-coeff": -0.1832
} | 3.3 | abf57475-f9ef-46d2-9bf0-3a6a4accc8dc |
[
{
"content": "A train which has 500 m long, is running 100 kmph. In what time will it cross a person moving at 10 kmph in same direction ?\n\n['A)20 sec', 'B)25 sec', 'C)30 sec', 'D)35 sec', 'E)40 sec']",
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"content": "Time taken to cross a moving person = length of train/ relative speed\nTime taken = 500/((100-10) (5/18) = 500/ 90*(5/18) = 500/25= 20 sec\nAnswer: A",
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]
| aqua-rat | {
"coherence": 2.61,
"complexity": 1.69,
"correctness": 2.18,
"helpfulness": 2.33,
"instruction-following": 3.19,
"safety": 5.59,
"verbosity": 1.09,
"verbosity-coeff": -0.1219
} | 3.3 | f43c9046-5ca8-492d-8944-d309b0775f16 |
[
{
"content": "A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm * 5 cm * 2 cm. The percentage of wood wasted is\n\n['A)26 %', 'B)28 %', 'C)32 %', 'D)34 %', 'E)None']",
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"content": "Sol.\nVolume of the block = (10 * 5 * 2)cm³ = 100 cm³\nVolume of the cone carved out = [1/3 * 22/7 * 3 * 3 * 7] cm³\n= 66 cm³\n∴ Wood wasted = (100 - 66)% = 34%.\nAnswer D",
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]
| aqua-rat | {
"coherence": 3.04,
"complexity": 1.71,
"correctness": 2.76,
"helpfulness": 2.88,
"instruction-following": 3.89,
"safety": 4.54,
"verbosity": 1.39,
"verbosity-coeff": -0.1128
} | 3.4 | 41f783d8-676d-4288-8b4b-9bf13d4c4416 |
[
{
"content": "A tap can fill a tank in 20 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?\n\n['A)11 hrs 30 mins', 'B)10 hrs 30 mins', 'C)12 hrs', 'D)12 hrs 30 mins', 'E)2 hrs 30 mins']",
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"content": "Explanation:\nA tap can fill a tank in 20 hours.\nTherefore the tap can fill half the tank in 10 hours.\nOne tap take time to fill half of the tank = 10 hrs\n4 taps take time to fill half of the tank =10/4 hrs = 2 1/2 hrs\nTotal time taken to fill the tank = 10 hr+2 1/2 hr = 12 hrs 30 mins\nAnswer : D",
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]
| aqua-rat | {
"coherence": 2.61,
"complexity": 1.41,
"correctness": 2.41,
"helpfulness": 2.7,
"instruction-following": 3.52,
"safety": 7.12,
"verbosity": 1.22,
"verbosity-coeff": -0.113
} | 3.7 | 6ad133d5-e530-4c5c-bdf1-381fd5fdc136 |
[
{
"content": "The average of 45 students in a class is 18 years. The average age of 21 students is 16. What is the average age of remaining 14 students?\n\n['A)21', 'B)16', 'C)17', 'D)18', 'E)19']",
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"content": "Sum of the ages of 14 students\n= (18* 45) - (18 * 21) = 810 - 378 = 432\nRequired average = (266/23)\n= 18 years.\nAnswer: D",
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]
| aqua-rat | {
"coherence": 1.93,
"complexity": 1.11,
"correctness": 0.8,
"helpfulness": 1.13,
"instruction-following": 1.85,
"safety": 5.63,
"verbosity": 0.55,
"verbosity-coeff": -0.1381
} | 2.8 | 971c009c-9ff9-4e1b-92ad-04407a245467 |
[
{
"content": "Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 8 inches tall. How tall are the sculpture andbase together?\n\n['A)3.1 feet', 'B)3.2 feet', 'C)3.3 feet', 'D)3.4 feet', 'E)3.5 feet']",
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"content": "we know 1 feet =12 inch then\n2 feet =24 inch\n24+10=34 then\n34+8=42\n42/12=3.5 feet\nANSWER:E",
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]
| aqua-rat | {
"coherence": 2.72,
"complexity": 1.07,
"correctness": 2.66,
"helpfulness": 2.51,
"instruction-following": 2.96,
"safety": 5.52,
"verbosity": 0.91,
"verbosity-coeff": -0.1131
} | 3.5 | eb48c001-f067-45a7-929a-4afbb1da96a7 |
[
{
"content": "If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?\n\n['A)26', 'B)39', 'C)120', 'D)65', 'E)156']",
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"content": "Here 156 has three two's\ntwo three's\nand one 10\nrest of them must be in w\nso w= 10*3*4 = 120\nSmash C",
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]
| aqua-rat | {
"coherence": 2.27,
"complexity": 1.66,
"correctness": 1.69,
"helpfulness": 1.72,
"instruction-following": 1.44,
"safety": 4.38,
"verbosity": 0.29,
"verbosity-coeff": -0.2108
} | 2.8 | 180b19c3-3bf2-4bfc-8bb8-1f56cf6fa059 |
[
{
"content": "A basket contains 5 apples of which one is rotten. If Henry is to select 2 apples from the basket simultaneously and at random what is the probability that the 2 apples selected will include the rotten apple?\n\n['A)1/5', 'B)3/10', 'C)2/5', 'D)1/2', 'E)3/5']",
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"content": "Direct probability approach:\nP=15∗44+45∗14=25P=15∗44+45∗14=25: probability of {first apple rotten, second apple good} plus the probability of {first apple good, second apple rotten}.\nReverse probability approach:\nAgain 1- the probability of the opposite event --> P=1−45∗34=25P=1−45∗34=25.\nAnswer: C",
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]
| aqua-rat | {
"coherence": 2.68,
"complexity": 1.4,
"correctness": 2.27,
"helpfulness": 1.99,
"instruction-following": 2.72,
"safety": 5.12,
"verbosity": 1.38,
"verbosity-coeff": -0.1389
} | 3.1 | c4ca3a0d-7900-4784-82c7-fb92d36bcfb7 |
[
{
"content": "Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent?\n\n['A)17%', 'B)19%', 'C)24.8%', 'D)14%', 'E)16%']",
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"content": "Total CP = Rs. 42000 + Rs. 10000\n= Rs. 52000 and SP\n= Rs. 64900\nProfit(%) = (64900 - 52000)/52000 * 100\n= 24.8%\nAnswer: C",
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| aqua-rat | {
"coherence": 2.76,
"complexity": 1.51,
"correctness": 2.39,
"helpfulness": 2.61,
"instruction-following": 3.93,
"safety": 5.59,
"verbosity": 0.94,
"verbosity-coeff": -0.1138
} | 3.5 | a06a2dee-f4df-4e1b-b0bf-7ebe0e427cc2 |
[
{
"content": "The length of rectangle is thrice its breadth and its perimeter is 104 m, find the area of the rectangle?\n\n['A)432 sq m', 'B)356 sq m', 'C)452 sq m', 'D)428 sq m', 'E)507 sq m']",
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"content": "2(3x + x) = 104\nl = 39 b = 13\nlb = 39 * 13 = 507\nANSWER:E",
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| aqua-rat | {
"coherence": 2.8,
"complexity": 1.28,
"correctness": 2.27,
"helpfulness": 2.35,
"instruction-following": 3.31,
"safety": 5.59,
"verbosity": 0.72,
"verbosity-coeff": -0.0791
} | 3.5 | 2af5ef88-c9dc-4815-8f17-287498c7b01d |
[
{
"content": "The mass of 1 cubic meter of a substance is 400 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)\n\n['A)1.5', 'B)2.5', 'C)3.5', 'D)4.5', 'E)5.5']",
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"content": "400 kg - 1 cubic meter;\n400,000 g - 1 cubic meter;\n400,000 g - 1,000,000 cubic centimeters;\n1 g - 1,000,000/400,000 = 10/4 = 2.5 cubic centimeters.\nAnswer: B.",
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| aqua-rat | {
"coherence": 3.15,
"complexity": 0.77,
"correctness": 2.49,
"helpfulness": 2.7,
"instruction-following": 3.09,
"safety": 5.16,
"verbosity": 0.43,
"verbosity-coeff": -0.1322
} | 3.6 | 3ec48b47-1348-4e92-89cb-8ae8702959c1 |
[
{
"content": "UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought less of Toyota than Honda at the ratio of 4:6. If 40% of the Toyota bought and 60% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase?\n\n['A)66%', 'B)64%', 'C)68%', 'D)52%', 'E)72%']",
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"content": "let total no of Vehicles bought be 100, Toyota 40 and Honda 60, so total number of SUV's bought for Toyota and Honda respectively 40* 40/100=16 and 60* 60/100=36\nso total 52 SUV's were bought out of 100 Vehicles bought..so required % is 52%\nANSWER:D",
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]
| aqua-rat | {
"coherence": 2.47,
"complexity": 1.9,
"correctness": 2.31,
"helpfulness": 2.43,
"instruction-following": 2.94,
"safety": 5.75,
"verbosity": 1.31,
"verbosity-coeff": -0.1331
} | 3.2 | 644ec117-6823-4113-8f4e-9a535229caf9 |
[
{
"content": "In a division sum, the divisor is 5 times the quotient and two times the remainder. If the remainder is 40, then the dividend is\n\n['A)1320', 'B)1380', 'C)1395', 'D)1367', 'E)None of these']",
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"content": "Explanation:\nDividend = (Divisor x Quotient) + Remainder\nRemainder = 40\nDivisor = 5Q = 2R = 2 x 40 = 80\n=> Q = (80/5) = 16\nNow, Dividend = (80 x 16) + 40 = 1320\nAnswer: Option A",
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| aqua-rat | {
"coherence": 2.94,
"complexity": 2.29,
"correctness": 2.64,
"helpfulness": 3.02,
"instruction-following": 3.41,
"safety": 4.32,
"verbosity": 1.36,
"verbosity-coeff": -0.104
} | 3.2 | 8f508af6-b825-4210-9633-28be1325e78d |
[
{
"content": "A and B together can do a work in7 days. If A alone can do it in 14 days. In how many days can B alone do it?\n\n['A)14', 'B)10', 'C)21', 'D)20', 'E)25']",
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{
"content": "A\n14\n1/7 – 1/14 = 1/14 => 14",
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]
| aqua-rat | {
"coherence": 2.12,
"complexity": 1.09,
"correctness": 1.37,
"helpfulness": 1.41,
"instruction-following": 1.26,
"safety": 4.93,
"verbosity": 0.62,
"verbosity-coeff": -0.1189
} | 2.8 | 38556d30-3a14-49f8-a835-55609841e4ab |
[
{
"content": "The majority owner of a business received 25% of the profit, with each of 4 partners receiving 25% of the remaining profit. If the majority owner and two of the owners combined to receive $76,875, how much profit did the business make?\n\n['A)$98,000', 'B)$106,000', 'C)$112,000', 'D)$118,000', 'E)$123,000']",
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"content": "Let P be the total profit.\nP/4 + 1/2*(3P/4) = P/4 + 3P/8 = 5P/8 = $76,875\nP = $123,000\nThe answer is E.",
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]
| aqua-rat | {
"coherence": 2.98,
"complexity": 1.19,
"correctness": 2.31,
"helpfulness": 2.47,
"instruction-following": 3.25,
"safety": 3.84,
"verbosity": 0.3,
"verbosity-coeff": -0.1408
} | 3.3 | 7c1adb72-4d78-4b10-82ea-c3d8a67eff13 |
[
{
"content": "2.205 divided by 0.3 gives\n\n['A)7.35', 'B)6.25', 'C)8.15', 'D)6.95', 'E)None of these']",
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"content": "Explanation :\n2.205/0.3 = 22.05/3 = 7.35. Answer : Option A",
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| aqua-rat | {
"coherence": 2.72,
"complexity": 1.38,
"correctness": 2.18,
"helpfulness": 2.41,
"instruction-following": 2.55,
"safety": 4.05,
"verbosity": 1.08,
"verbosity-coeff": -0.119
} | 3.1 | 38d4eb4a-b0e3-4e87-8892-06548499415d |
[
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"content": "A train 260 m long passed a pole in 26 sec. How long will it take to pass a platform 650 m long?\n\n['A)91 sec', 'B)89 sec', 'C)54 sec', 'D)27 sec', 'E)22 sec']",
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"content": "Speed = 260/26 = 10 m/sec.\nRequired time = (260 + 650)/10\n= 91 sec.\nAnswer: A",
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| aqua-rat | {
"coherence": 2.98,
"complexity": 1.48,
"correctness": 2.62,
"helpfulness": 2.76,
"instruction-following": 3.8,
"safety": 5.05,
"verbosity": 1.4,
"verbosity-coeff": -0.123
} | 3.5 | b9cb1ba4-f62c-47bd-8841-b0140f9ed3b9 |
[
{
"content": "A rectangular field has area equal to 150 sq m and perimeter 50 m. Its length and breadth must be?\n\n['A)10', 'B)88', 'C)66', 'D)65', 'E)22']",
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"content": "Answer: Option D\nExplanation:\nlb = 150\n2(l + b) = 50 => l + b = 25\nl – b = 5\nl = 15 b = 10\nAnswer:A",
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| aqua-rat | {
"coherence": 2.62,
"complexity": 1.67,
"correctness": 1.91,
"helpfulness": 2.21,
"instruction-following": 2.14,
"safety": 5.09,
"verbosity": 0.63,
"verbosity-coeff": -0.1125
} | 3.1 | 45d1e58a-759c-4892-b360-ef60f32eb6e3 |
[
{
"content": "From a total of 5 boys and 5 girls, how many 4-person committees can be selected if the committee must have exactly 2 boys and 2 girls?\n\n['A)16', 'B)24', 'C)60', 'D)100', 'E)240']",
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"content": "Answer=D=100\nNo of 4 person committees that can be formed=5C2*5C2=100\nAnswer D",
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| aqua-rat | {
"coherence": 2.94,
"complexity": 0.54,
"correctness": 2,
"helpfulness": 2.04,
"instruction-following": 2.14,
"safety": 5.44,
"verbosity": 0.54,
"verbosity-coeff": -0.2488
} | 3.4 | 9f459b1e-6ad4-4c59-9d24-e13f188af673 |
[
{
"content": "If a and b are odd integers which of the following must be an even integer?\n\n['A)a/b', 'B)ab', 'C)(ab)^2', 'D)ab + b', 'E)(a + b)/b']",
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"content": "Certainly (D)\nab+b=b(a+1)\nSine both a & b are ODD , we can say ( a + 1 ) is EVEN as ODD + 1 = EVEN\nHence there is no doubt that the OA must be (D)\nANSWER:D",
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]
| aqua-rat | {
"coherence": 2.92,
"complexity": 2.23,
"correctness": 2.29,
"helpfulness": 2.23,
"instruction-following": 2.27,
"safety": 5.16,
"verbosity": 1.4,
"verbosity-coeff": -0.2223
} | 3 | 3559aab1-d462-42c9-b7bd-0c62597b5048 |
[
{
"content": "The average expenditure of a man for the first five months is Rs.60 and for the next seven months it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :\n\n['A)Rs.125', 'B)Rs.150', 'C)Rs.165', 'D)Rs.170', 'E)none']",
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"content": "Explanation:\nTotal income = Rs.(60×5+130×7+290)=Rs.1500\nAverage monthly income\n= Rs. (1500/12)=Rs.125\nCorrect Option: A",
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| aqua-rat | {
"coherence": 3.04,
"complexity": 1.29,
"correctness": 2.29,
"helpfulness": 2.51,
"instruction-following": 3.58,
"safety": 5.09,
"verbosity": 0.7,
"verbosity-coeff": -0.1222
} | 3.5 | 69d72bc4-0a09-4355-831d-eda360cfa40a |
[
{
"content": "If 0.75 : x :: 5 : 8, then x is equal to:\n\n['A)120', 'B)12', 'C)1.2', 'D)0.12', 'E)0.012']",
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},
{
"content": "((x) x 5) = (0.75 x 8)\n= x = 6/5\n= 1.20\nAnswer is C.",
"role": "assistant",
"uuid": "9dd6f278-406c-423b-850a-ec69b561587e"
}
]
| aqua-rat | {
"coherence": 2.45,
"complexity": 1.35,
"correctness": 1.99,
"helpfulness": 2.1,
"instruction-following": 2.06,
"safety": 4.89,
"verbosity": 0.68,
"verbosity-coeff": -0.0953
} | 3.1 | f955e77d-d712-485c-8a98-4a0551fe049d |
[
{
"content": "At what rate p.a a sum of Rs. 2400 will become Rs. 3600/- in 5 years.\n\n['A)10%', 'B)15%', 'C)20%', 'D)12%', 'E)22%']",
"role": "user",
"uuid": "9d27b63e-093f-4cda-94cb-ccd6bf3b6350"
},
{
"content": "Explanation:\nprincipal P = 2400/-\nRate of interest R = ?\nTime T = 5 years\nAccumulated Amount A = Rs.10400/-\nA = P + I\nA = P + PTR/100\nA = P(1+ TR/100)\n2400[ 1 + (5 x R)/100] = 3600\n2[(20 + R)/20] = 3\n20 + R = 30\nR = 10%\nAnswer: Option A",
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"uuid": "70965599-e1e4-4893-80e9-3df60ebeb4a6"
}
]
| aqua-rat | {
"coherence": 2.82,
"complexity": 1.96,
"correctness": 2.49,
"helpfulness": 2.7,
"instruction-following": 2.74,
"safety": 4.85,
"verbosity": 1.56,
"verbosity-coeff": -0.113
} | 3.2 | 8be462c9-be59-422c-853d-4a9465e174e8 |
[
{
"content": "A and B Started a business with Rs.15000 and 12000 respectively. After 6 months B puts Rs.1000 more in his capital while after 8 months A puts Rs.5000 more in his capital. If there is a profit of Rs.35,000 after one year then B will get\n\n['A)Rs.15,000', 'B)Rs.18,000', 'C)Rs.16,000', 'D)Rs.20,000', 'E)Rs.22,000']",
"role": "user",
"uuid": "40649a84-417b-4596-b0a4-33b5741e00a8"
},
{
"content": "Ratio of A and B\n=15000*8+20,000*4 : 12000*6+1300*6\n= 4 :3\nThen B will get\n= 3/7*35,000\n=15,000\nANSWER:A",
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"uuid": "174e8cba-0e86-4f00-99b6-50b7dcf79ab4"
}
]
| aqua-rat | {
"coherence": 2.82,
"complexity": 1.5,
"correctness": 2.08,
"helpfulness": 2.18,
"instruction-following": 2.7,
"safety": 3.99,
"verbosity": 1.13,
"verbosity-coeff": -0.1054
} | 3 | 87308541-0132-4f5d-9159-4dfefd03ad38 |
[
{
"content": "In the first week of the Year, Mancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Mancy saved during the 52 weeks?\n\n['A)$1,326', 'B)$1,352', 'C)$1,378', 'D)$2,652', 'E)$2,756']",
"role": "user",
"uuid": "5581ab68-4f30-4c10-917f-a8b422eb3133"
},
{
"content": "In the first week of the Year, Mancy saved $1.If you don't recall the formula, there is one method:\n1 + 2 + 3 + 4 + 5 ........ + 26 + 27 + ............ + 48 + 50 + 51 + 52\nSum of 1stlast digit = 1 + 52 = 53\nSum of 2nd2nd last digit = 2 + 51 = 53\nSum of 3rd3rd last digit = 3 + 50 = 53\n.\n.\n.\n.\nThis is repeated 26 times\nSo, 26 * 53 = 1378\nAnswer = C",
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"uuid": "9cab14e8-68d7-4002-abbe-daf84834ab81"
}
]
| aqua-rat | {
"coherence": 2.16,
"complexity": 1.11,
"correctness": 1.65,
"helpfulness": 1.51,
"instruction-following": 2.25,
"safety": 4.27,
"verbosity": 1.62,
"verbosity-coeff": -0.1646
} | 2.7 | f37fdf87-58bd-4b39-bcbf-5f7edde3b3c6 |
[
{
"content": "If 4x + y = 8 and y − 3x = 7, then what is the value of x + 2y?\n\n['A)1/7', 'B)3', 'C)15', 'D)52/7', 'E)60/7']",
"role": "user",
"uuid": "9156ceae-f840-49c5-97a2-36653870b53c"
},
{
"content": "4x + y = 8\n−3x + y = 7\nAdding both the equations --> x + 2y = 15\nAnswer: C",
"role": "assistant",
"uuid": "f69c491c-7cb5-41f6-a58a-8eae95337f69"
}
]
| aqua-rat | {
"coherence": 3.13,
"complexity": 1.37,
"correctness": 2.53,
"helpfulness": 2.64,
"instruction-following": 3.35,
"safety": 4.5,
"verbosity": 0.86,
"verbosity-coeff": -0.1812
} | 3.4 | dcc4cf97-54a8-4955-ba5c-f3ade0855ef4 |
[
{
"content": "Salley's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Salley makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?\n\n['A) 15', 'B) 24', 'C) 25', 'D) 26', 'E) 13']",
"role": "user",
"uuid": "c3b56867-6a18-4572-9e47-edcb142f48a2"
},
{
"content": "day 0- payment of $7 is made in the morning (after 12 am midnight)\nday 1 onwards (after 12 am midnight) internet service will begin and will run for 7*2=14 days i.e. at the end of day 15 balance will be zero.\nnow salley can still use the internet till her debt reaches $5 which means total of 5*2=10 days.\nnow the question states for how many days, including today, will she be connected to the internet without any additional paymentsi.e. we will have to include day0 also in our final answer. therefore total no. of days =1+14+10=25=C",
"role": "assistant",
"uuid": "e58b3e8f-1f96-4a10-93a6-d33bb6f8468a"
}
]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1.9,
"correctness": 1.94,
"helpfulness": 1.86,
"instruction-following": 2.51,
"safety": 5.32,
"verbosity": 1.67,
"verbosity-coeff": -0.1902
} | 3 | 1faa092e-d6f6-4334-83df-83dfad42705e |
[
{
"content": "Two numbers are such that the ratio between them is 3:5 but if each is increased by 10, the ratio between them becomes 5 : 7, the numbers are\n\n['A)3, 5', 'B)7, 9', 'C)13, 22', 'D)15, 25', 'E)None']",
"role": "user",
"uuid": "349f328c-4832-4748-8eb7-84d78361cf7c"
},
{
"content": "Explanation:\nLet the numbers be 3a and 5a\nThen 3a+10/5a+10=5/7\n⇒7(3a+10)=5(5a+10)⇒a=5\nThe numbers are 15 & 25\nCorrect Option: D",
"role": "assistant",
"uuid": "1d86f54e-c4c5-4b69-a0a1-d3563c17360d"
}
]
| aqua-rat | {
"coherence": 2.76,
"complexity": 2.06,
"correctness": 2.06,
"helpfulness": 2.25,
"instruction-following": 3.05,
"safety": 4.73,
"verbosity": 1,
"verbosity-coeff": -0.132
} | 3.1 | 35fa5c9d-5189-4453-bf61-14af04f0a9ce |
[
{
"content": "Sujit incurred a loss of 45% on selling an article for Rs.3520/-. What was the cost price of the article?\n\n['A)Rs.5725/-', 'B)Rs.5080/-', 'C)Rs.6400/-', 'D)Rs.6750/-', 'E)None of these']",
"role": "user",
"uuid": "ac9fdffa-5726-438b-9a71-0a2bcf12f708"
},
{
"content": "Explanation:\n45% loss means SP of Rs.3520/- is 55% of CP\n:. CP = 3520x100/55 = Rs.6400/-\nAnswer: Option C",
"role": "assistant",
"uuid": "7c880592-d2d5-4c1e-9e2b-9eb204bc96ac"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.34,
"correctness": 2.76,
"helpfulness": 2.98,
"instruction-following": 3.95,
"safety": 4.58,
"verbosity": 0.64,
"verbosity-coeff": -0.1192
} | 3.6 | 912a8ba1-33f6-4581-9d03-373e4785aace |
[
{
"content": "Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?\n\n['A)3:1', 'B)19:4', 'C)19:8', 'D)19:5', 'E)19:2']",
"role": "user",
"uuid": "9ec7ff08-87af-45a4-8547-32eeb4daca66"
},
{
"content": "Quantity of alcohol in vessel P = 62.5/100 * 4 = 5/2 litres\nQuantity of alcohol in vessel Q = 87.5/100 * 4 = 7/2 litres\nQuantity of alcohol in the mixture formed = 5/2 + 7/2 = 6 litres\nAs 8 litres of mixture is formed, ratio of alcohol and water in the mixture formed\n= 600 : 200 = 3:1.\nAnswer: A",
"role": "assistant",
"uuid": "6ef0506f-e56e-4ad9-a2ea-0c241d4088c3"
}
]
| aqua-rat | {
"coherence": 3.21,
"complexity": 1.66,
"correctness": 2.31,
"helpfulness": 2.57,
"instruction-following": 3.41,
"safety": 5.32,
"verbosity": 1.18,
"verbosity-coeff": -0.1261
} | 3.4 | 63550304-8d9d-4c63-a4fa-db239dfac2e1 |
[
{
"content": "Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?\n\n['A)10.49', 'B)10.4', 'C)10.42', 'D)10.41', 'E)10.46']",
"role": "user",
"uuid": "1f946968-ba21-4056-9ccc-0a34a2d4fdf9"
},
{
"content": "S.I. on Rs. (260 - 20) for a given time = Rs. 20.\nS.I. on Rs. 240 for half the time = Rs. 10.\nT.D. on Rs. 250 = Rs. 10.\nT.D. on Rs. 260 = Rs. 10\tx 260 = Rs. 10.40\n250\nAnswer: B",
"role": "assistant",
"uuid": "1b11c01f-bfb3-4496-9385-8461a926e5d1"
}
]
| aqua-rat | {
"coherence": 2.62,
"complexity": 1.52,
"correctness": 2.33,
"helpfulness": 2.57,
"instruction-following": 3.11,
"safety": 5.83,
"verbosity": 0.84,
"verbosity-coeff": -0.1726
} | 3.4 | f1755f76-7893-44cf-9b24-8a67401189de |
[
{
"content": "if x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?\n\n['A)7', 'B)3', 'C)8', 'D)6', 'E)data insufficient']",
"role": "user",
"uuid": "42dfe147-d4ab-417d-90fe-2deb4f2236d6"
},
{
"content": "if y=z=1, then x will be equal to 7.\nANSWER:A",
"role": "assistant",
"uuid": "9c8c859b-f6a7-4b57-8b50-d7abd2066f14"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 1.38,
"correctness": 2.25,
"helpfulness": 2.35,
"instruction-following": 2.31,
"safety": 4.54,
"verbosity": 1.11,
"verbosity-coeff": -0.0966
} | 3.1 | 3b8dde02-c07d-4096-a486-27b94b16d3fd |
[
{
"content": "Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.70400?\n\n['A)89100', 'B)81028', 'C)27772', 'D)29889', 'E)22312']",
"role": "user",
"uuid": "bb3b9022-4739-4478-a8f6-d51b0f04b3dd"
},
{
"content": "70400* 9/8 * 9/8 = 89100.Answer:A",
"role": "assistant",
"uuid": "ab8938be-a6ff-4a28-9b53-e2ad4282655f"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 0.38,
"correctness": 2.43,
"helpfulness": 2.61,
"instruction-following": 3.58,
"safety": 4.81,
"verbosity": 0.32,
"verbosity-coeff": -0.1009
} | 3.7 | c2231013-6037-4f87-b84d-d3066ed11cf5 |
[
{
"content": "A car is traveling 68 kilometers per hour. How many meters does the car travel in one minute?\n\n['A)1,250 meters / minute', 'B)1,133 meters / minute', 'C)1,450 meters / minute', 'D)1,550 meters / minute', 'E)1,650 meters / minute']",
"role": "user",
"uuid": "82753e7d-6c70-474e-9601-f7d2c9123965"
},
{
"content": "Convert hour into minutes ( 1 hour = 60 minutes) and kilometers into meters (1 km = 1000 m) and simplify\n68 kilometers per hour = 68 km/hr\n= (68 * 1000 meters) / (60 minutes) = 1,133 meters / minute\ncorrect answer B",
"role": "assistant",
"uuid": "1f3070c3-6760-4851-88a0-94be48281dd2"
}
]
| aqua-rat | {
"coherence": 3.25,
"complexity": 0.88,
"correctness": 2.92,
"helpfulness": 3.04,
"instruction-following": 3.76,
"safety": 4.15,
"verbosity": 1.18,
"verbosity-coeff": -0.1248
} | 3.6 | 9c7e050e-a038-48e8-a109-fecee83052ad |
[
{
"content": "A certain sum becomes three times itself at simple interest in five years. the sum become 1200 after 9 year.calculate the principal amount.\n\n['A)250', 'B)260.86', 'C)288.6', 'D)265.66', 'E)280']",
"role": "user",
"uuid": "fb804ade-56a8-4066-a6d8-5361cffd90f1"
},
{
"content": "Let the sum be Rs. x, then it becomes Rs. 3x in five years Rs. 2x is the interest on x for five years.\nR = (100 * 2x)/(x * 5) = 40 %\ns.i=p*r*t/100=x*40*9/100=3.6x\nx+3.6x=1200=4.6x=1200,x=1200/4.6=260.86\nANSWER:B",
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"uuid": "60eba3c9-967c-46d8-9a75-a700431bbdc3"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 2.25,
"correctness": 2.41,
"helpfulness": 2.53,
"instruction-following": 3.5,
"safety": 3.89,
"verbosity": 1.75,
"verbosity-coeff": -0.0831
} | 3 | 5029863b-9f9b-4431-87ec-ff9c68673793 |
[
{
"content": "5 letters have to be put in 5 different envelopes numbered 1 through 5 such that each of the letters go into only 1 envelope.The letter is said to be put in correct position if for example letter 1 goes into envelope 1.Now what is the probability that all letters be put into wrong envelopes?\n\n['A)1/3', 'B)2/3', 'C)11/120', 'D)11/30', 'E)76/120']",
"role": "user",
"uuid": "1ab79e5c-e398-40e7-b0a5-1854371154c1"
},
{
"content": "This Q is based on derangement, a permutation in which all elements are in the wrong position.\nNumber of derangements = n!(12!−13!+14!+...+((−1)n)n!)n!(12!−13!+14!+...+((−1)n)n!).. Of Course it can be derived but thats not required..\nSince there are 5 letters and 5 envelopes:-\nDerangements=5!(12!−13!+14!−15!)Derangements=5!(12!−13!+14!−15!)\n=> 120(1/2−1/6+1/24−1/120)=60−20+5−1=44.120(1/2−1/6+1/24−1/120)=60−20+5−1=44.\nTotal possible ways = 5! = 120.\ntherefore required prob, P=44/120=11/30.\nans D",
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"uuid": "e73aa5cc-2375-4ce1-82c2-2282f88e946b"
}
]
| aqua-rat | {
"coherence": 2.61,
"complexity": 1.49,
"correctness": 2.45,
"helpfulness": 2.57,
"instruction-following": 3.41,
"safety": 4.97,
"verbosity": 1.78,
"verbosity-coeff": -0.156
} | 3.2 | af1aec92-ae7a-458a-91e2-b63d11ed7adf |
[
{
"content": "Henry has to secure 70% marks to clear his exam of class 6th.\nHe got 110 marks and failed by 100 marks.\nWhat is the maximum marks ?\n\n['A)200', 'B)300', 'C)400', 'D)500', 'E)600']",
"role": "user",
"uuid": "377c8631-cac7-450b-ae03-875004558bb1"
},
{
"content": "B\n300\nTo pass the exam ravish needs 110 + 100 = 210 marks.\n=> (210/70) *100 = 300",
"role": "assistant",
"uuid": "4b7f1232-4367-4736-a3dd-41579ada7a84"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.45,
"correctness": 2.53,
"helpfulness": 2.8,
"instruction-following": 2.64,
"safety": 4.32,
"verbosity": 1.36,
"verbosity-coeff": -0.1167
} | 3.2 | 0f37a78d-fa8c-42ef-a43a-aa64ebcd19bc |
[
{
"content": "If |x + 3| = 5, what is the sum of all the possible values of x?\n\n['A)-16', 'B)-12', 'C)-8', 'D)-6', 'E)12']",
"role": "user",
"uuid": "570aa1b4-217a-4320-82aa-944e5dd57c1b"
},
{
"content": "There will be two cases\nx+3 = 5 or x+3 = -5\n=> x = 2 or x= -8\nsum of both the values will be -8 + 2 = -6\nAnswer: D",
"role": "assistant",
"uuid": "4364a198-4c97-4af1-aed6-8e08bbedc98d"
}
]
| aqua-rat | {
"coherence": 2.53,
"complexity": 1.25,
"correctness": 2.47,
"helpfulness": 2.53,
"instruction-following": 3.25,
"safety": 5.52,
"verbosity": 0.92,
"verbosity-coeff": -0.2268
} | 3.4 | ce7fb103-165f-4fd7-a2a9-e94a6becd835 |
[
{
"content": "The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?\n\n['A)1/(XY).', 'B)Y/X', 'C)X/Y', 'D)1/(X+Y).', 'E)1/(X-Y).']",
"role": "user",
"uuid": "185c6a7a-6f85-4181-989d-c6fa76ffc376"
},
{
"content": "pulling a black ball out of a glass and breaking the jar both are independent events.\nFor 2 independent events, we know, P(a) * P(b) = P(a∩b)\nIf Prob of pulling a black ball out of a glass = P(a) and Prob of breaking the glass= P(b)\n1/x * P(b) = 1/y ---> P(b) = x/y\nHence, answer should be C.",
"role": "assistant",
"uuid": "e2281faf-09d9-4216-9f45-17406f59415d"
}
]
| aqua-rat | {
"coherence": 2.9,
"complexity": 2.29,
"correctness": 2.43,
"helpfulness": 2.45,
"instruction-following": 2.88,
"safety": 4.77,
"verbosity": 1.34,
"verbosity-coeff": -0.1216
} | 3.1 | c521f512-0fff-4f7a-9961-599a362ef093 |
[
{
"content": "In how many ways a committee consisting of 3 men and 2 women can be formed from 9 men and 3 women?\n\n['A)A)252', 'B)B)15', 'C)C)20', 'D)D)18', 'E)E)21']",
"role": "user",
"uuid": "9721d85e-d6eb-4d87-8f2b-edabb09f0413"
},
{
"content": "Required number of ways = 9C3*3C2 = 84*3 = 252\nAnswer is A",
"role": "assistant",
"uuid": "4224025f-8acd-4dcc-b422-82ac346e74ef"
}
]
| aqua-rat | {
"coherence": 3.04,
"complexity": 1.31,
"correctness": 2.76,
"helpfulness": 2.94,
"instruction-following": 3.27,
"safety": 5.32,
"verbosity": 1.25,
"verbosity-coeff": -0.1381
} | 3.5 | 1bcdb469-cc59-4680-9126-1579fa178474 |
[
{
"content": "If TIER is written as 7163 and BRAIN is written as 23415, how is RENT coded ?\n\n['A)3653', 'B)3657', 'C)2977', 'D)2790', 'E)2711']",
"role": "user",
"uuid": "8dc622bb-11aa-4ba0-a28f-49f3e08188e0"
},
{
"content": "Explanation:\nGiven :\nLetter : T I E R B A N\nCode : 7 1 6 3 2 4 5\nThus, the code for RENT is 3657.\nANSWER:B",
"role": "assistant",
"uuid": "8ba18bde-4b9e-426a-85e8-9200333e9c2f"
}
]
| aqua-rat | {
"coherence": 2.51,
"complexity": 1.54,
"correctness": 2.14,
"helpfulness": 2.61,
"instruction-following": 3.41,
"safety": 4.81,
"verbosity": 1.29,
"verbosity-coeff": -0.1074
} | 3.2 | c8d11656-6055-4aa7-97f6-17c9fffd6417 |
[
{
"content": "The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?\n\n['A)8:3', 'B)7:5', 'C)4:3', 'D)2:3', 'E)3:1']",
"role": "user",
"uuid": "d9b2c437-77c6-4966-8a0b-845ccaf6b379"
},
{
"content": "Explanation:\nMilk in 1-liter mixture of A = 4/7 liter.\nMilk in 1-liter mixture of B = 2/5 liter.\nMilk in 1-liter mixture of C = 1/2 liter.\nBy rule of allegation we have required ratio X: Y.\nX : Y\n4/7 2/5\nSo Required ratio = X: Y = 1/10: 1/14 = 7: 5.\nANSWER IS B",
"role": "assistant",
"uuid": "199a065f-b339-43ff-b051-49f6386e9377"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 2.35,
"correctness": 2.49,
"helpfulness": 2.74,
"instruction-following": 3.35,
"safety": 6.61,
"verbosity": 1.75,
"verbosity-coeff": -0.1505
} | 3.4 | a9edb9e7-c7c6-4593-b8e4-ec0db9073766 |
[
{
"content": "Some persons can do a piece of work in 12 days. Two times the number of such persons will do half of that work in\n\n['A)7 days', 'B)7 days', 'C)9 days', 'D)3 days', 'E)2 days']",
"role": "user",
"uuid": "9d28d98d-5a32-4e12-b249-1cd16c07c302"
},
{
"content": "Explanation:\nLet x men can do the in 12 days and the required number of days be z\nMore men, Less days [Indirect Proportion]\nLess work, Less days [Direct Proportion ]\nAnswer: D",
"role": "assistant",
"uuid": "bb16c124-a7b8-4e3a-a1e3-9e92df906706"
}
]
| aqua-rat | {
"coherence": 2.33,
"complexity": 1.05,
"correctness": 1.21,
"helpfulness": 1.48,
"instruction-following": 1.37,
"safety": 5.59,
"verbosity": 0.27,
"verbosity-coeff": -0.12
} | 3 | c90c604e-0aee-4113-b5c3-72042f19866e |
[
{
"content": "Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 74 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?\n\n['A)3', 'B)4', 'C)5', 'D)6', 'E)8']",
"role": "user",
"uuid": "85ce445a-133d-4508-8cf2-66f43c7b8cd1"
},
{
"content": "Total Distance = 74 kms\nMaxwell Speed = 4 kms/hr\nMaxwell travelled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.\nTime taken = Total Distance / Relative Speed\nTotal Distance after Brad started = 70 kms\nRelative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr\nTime taken to meet Brad after Brad Started = 70 / 10 = 7 hrs\nDistance traveled by Maxwell = Maxwell's speed * time taken = 4 * 7 = 28+4 = 32 kms...\nTherefore Total Time taken by Maxwell to meet Brad = Distance travelled by Maxwell / Maxwell's Speed = 32 /4 = 8 hrs ... Answer E",
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"uuid": "075d5222-3515-4719-9630-e2fe9f90f0da"
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]
| aqua-rat | {
"coherence": 2.7,
"complexity": 1.55,
"correctness": 2.45,
"helpfulness": 2.61,
"instruction-following": 3.39,
"safety": 4.89,
"verbosity": 1.63,
"verbosity-coeff": -0.1486
} | 3.3 | 15bf78fe-3560-483d-85ab-78e8ec93e76b |
[
{
"content": "A boy has nine trousers and 10 shirts. In how many different ways can he select a trouser and a shirt?\n\n['A)50ways', 'B)90ways', 'C)100ways', 'D)108ways', 'E)56ways']",
"role": "user",
"uuid": "4969bf69-ed3e-417f-b1a3-0e7aa0556b80"
},
{
"content": "The boy can select one trouser in nine ways.\nThe boy can select one shirt in 10 ways.\nThe number of ways in which he can select one trouser and one shirt is 9 * 10\n= 90 ways.\nAnswer: B",
"role": "assistant",
"uuid": "1c62923c-1d0f-4d8e-a94a-15ae08038be8"
}
]
| aqua-rat | {
"coherence": 2.68,
"complexity": 0.97,
"correctness": 2.27,
"helpfulness": 2.45,
"instruction-following": 3.46,
"safety": 5.59,
"verbosity": 1.21,
"verbosity-coeff": -0.1174
} | 3.5 | e5794565-9f14-46b2-8acc-5a922b089885 |
[
{
"content": "How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol?\n\n['A) 7/2', 'B) 5', 'C) 20/3', 'D) 8', 'E) 300/17']",
"role": "user",
"uuid": "82311f0b-e9c5-484c-99f5-4cc5b66d7edb"
},
{
"content": "20% Alcohol solution means; in the 100 liter solution, 20 liters of solution is alcohol and 80 liters other solvents.\nIf we addxliters of alcohol to the solution, the solution becomes100+xliters and alcohol, which was 20 liters, becomes 20+x liters.\nAccording to the statement;\n20+x = 32% of (100+x)\nOR\n20+x=(100+x)8/25\n500+25x=800+8x\n17x=300\nx=300/17\nAns:E",
"role": "assistant",
"uuid": "c43a77f6-dfee-4b42-a6ad-64b210116726"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.57,
"correctness": 2.41,
"helpfulness": 2.33,
"instruction-following": 2.82,
"safety": 5.83,
"verbosity": 1.07,
"verbosity-coeff": -0.2166
} | 3.4 | a15d208d-3fe6-4ff8-a381-6596574e5920 |
[
{
"content": "Find out the wrong number in the given sequence of numbers.\n1, 2, 6, 15, 31, 56, 91\n\n['A)2', 'B)6', 'C)15', 'D)31', 'E)91']",
"role": "user",
"uuid": "2f65c6ea-3819-4d0d-907a-8d960b0a3222"
},
{
"content": "1(result) + (1*1) = 2.\n2(result) + (2*2) = 6.\n6(result) + (3*3) = 15.\n15(result) + (4*4) = 31.\n31(result) + (5*5) = 56.\n56(result) + (6*6) = 92.\nNow we are getting 92 not 91.. So 91 is the wrong number of the given.\nanswer : E",
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"uuid": "0c360649-e0bc-4319-a0b6-6ebf39ea5372"
}
]
| aqua-rat | {
"coherence": 2.37,
"complexity": 1.7,
"correctness": 2.06,
"helpfulness": 2.31,
"instruction-following": 3,
"safety": 4.21,
"verbosity": 1.43,
"verbosity-coeff": -0.1003
} | 3 | b9f208d3-6085-4060-960d-029d7941f74c |
[
{
"content": "Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?\n\n['A)3/7', 'B)3/2', 'C)3/5', 'D)3/4', 'E)3/1']",
"role": "user",
"uuid": "81c6abaa-3430-4ab5-813a-66d416a6008e"
},
{
"content": "Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 27 x meters, and length of the second train = 17 y meters. (27 x + 17 y) / (x + y) = 23 ==> 27 x + 17 y = 23 x + 23 y ==> 4 x = 6 y ==> x/y = 3/2.Answer: B",
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"uuid": "fbaee7ea-2bb1-4a05-84db-3930dd1e0a60"
}
]
| aqua-rat | {
"coherence": 2.7,
"complexity": 1.66,
"correctness": 2.04,
"helpfulness": 2.2,
"instruction-following": 2.98,
"safety": 6.26,
"verbosity": 0.96,
"verbosity-coeff": -0.116
} | 3.4 | 672abde7-0082-40bf-b1c6-ea9ff68b6ee9 |
[
{
"content": "The value of a machine depreciates at 25% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?\n\n['A)$258375', 'B)$438375', 'C)$128375', 'D)$108375', 'E)$158375']",
"role": "user",
"uuid": "79e3224e-3e27-467d-be79-c6587dc1cbed"
},
{
"content": "The value of the machine after two years = 0.75 * 0.75 * 1,50,000 = $84,375\nSP such that a profit of $24,000 is made = 84,375 + 24,000 = $1,08,375\nD",
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"uuid": "c3e55208-fdf9-451c-8362-ca054390a519"
}
]
| aqua-rat | {
"coherence": 2.94,
"complexity": 0.84,
"correctness": 2.16,
"helpfulness": 2.41,
"instruction-following": 3.13,
"safety": 4.54,
"verbosity": 0.91,
"verbosity-coeff": -0.1127
} | 3.3 | 0bb004b1-4577-41c3-8d31-5c4d0e76cc07 |
[
{
"content": "George went to a fruit market with certain amount of money. With this money he can buy either 50 oranges or 40 mangoes. He retains 15% of the money for taxi fare and buys 15 mangoes. How many oranges can he buy?\n\n['A)25', 'B)17.5', 'C)20', 'D)16', 'E)12']",
"role": "user",
"uuid": "e805ee49-b6a7-4d23-b56c-e82f35c6dbf7"
},
{
"content": "Let the amount of money be 200\nLet cost of 1 Orange be 4\nLet cost of 1 mango be 5\nHe decides to retain 15% of 200 = 30 for taxi fare, so he is left with 170\nHe buys 20 mangoes ( @ 5) so he spends 100\nMoney left is 70 (170 - 100)\nNo of oranges he can buy = 70/4 =>17,5\nSo, George can buy 15 Oranges.\nB",
"role": "assistant",
"uuid": "bb4d2604-9546-41ea-abf9-be342848cda6"
}
]
| aqua-rat | {
"coherence": 2.62,
"complexity": 1.68,
"correctness": 1.63,
"helpfulness": 1.73,
"instruction-following": 1.79,
"safety": 4.93,
"verbosity": 1.35,
"verbosity-coeff": -0.1232
} | 2.8 | 8bae157f-5d44-418b-b340-10fe9829cc68 |
[
{
"content": "If x and y are positive integers, find which of the following CANNOT be the greatest common divisor of 25x and 20y?\n\n['A)5', 'B)5(x-y)', 'C)20x', 'D)20y', 'E)35x']",
"role": "user",
"uuid": "6a2de803-96a0-44cb-9de3-e72348e6f2e1"
},
{
"content": "We are looking for a choice that CANNOT be the greatest common divisor of 25x and 20y ...which means 35x and 20y when divided by the answer choice the quotient should not be a integer.\nlets check\na. 5 25x/5 = 5x and 20y/5 = 4y both are integers so eliminate\nb. 5(x-y) when x = 2 and y = 1 it could be be the greatest common divisor ..so eliminate\nc. 20x when x = 1 its 20 and 20 cannot be the greatest common divisor of 25x and 20y ...\nor 25x/20x = 5/4 which is not a integer.\nso answer is C.",
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"uuid": "5c09936b-cd5b-483a-9c23-c976de506d79"
}
]
| aqua-rat | {
"coherence": 2.92,
"complexity": 2.82,
"correctness": 2.16,
"helpfulness": 2.23,
"instruction-following": 2.37,
"safety": 4.97,
"verbosity": 1.9,
"verbosity-coeff": -0.2304
} | 2.8 | 47ea8473-d316-4890-864d-7bdbdf3910b7 |
[
{
"content": "How many four-digit numbers are there such that all three digits are different and the first digit and last digit is not zero?\n\n['A)2128', 'B)3458', 'C)4207', 'D)5184', 'E)8104']",
"role": "user",
"uuid": "07855c98-2f85-44d5-aeb3-8d9c024ce2fb"
},
{
"content": "All three digits are different and first digit is not zero.\nSo first digit can be filled in 8 ways.\nAnd, second digit can be filled in 9 ways.\nAnd, third digit can be filled in 9 ways.\nAnd, fourth digit can be filled in 8 ways.\nTotal ways = 8*9*9*8\n= 5184\nHence option (D).",
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"uuid": "8dcfaad1-8324-4a66-9c94-8825c0f51c11"
}
]
| aqua-rat | {
"coherence": 2.61,
"complexity": 1.33,
"correctness": 1.87,
"helpfulness": 2.12,
"instruction-following": 2.92,
"safety": 5.28,
"verbosity": 0.8,
"verbosity-coeff": -0.2091
} | 3.2 | 86aea162-eaec-4200-b6e9-ca7ca06dd84d |
[
{
"content": "A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(10 – p) dollars. For which of the following values of p does the company make a profit?\n\n['A)10', 'B)9', 'C)8', 'D)6', 'E)7']",
"role": "user",
"uuid": "8f876d74-86d5-4fb3-8303-a8c7582a41f4"
},
{
"content": "to make profit, selling price should be greater than cost price\np(10-p) - p-15 >0\n=> p^2-9*p+15<0\nhence p=6\nD",
"role": "assistant",
"uuid": "89c169eb-f988-4519-b9cd-c46b4b9144f0"
}
]
| aqua-rat | {
"coherence": 2.35,
"complexity": 1.31,
"correctness": 1.55,
"helpfulness": 1.6,
"instruction-following": 1.81,
"safety": 5.32,
"verbosity": 0.77,
"verbosity-coeff": -0.2338
} | 2.9 | cded1e11-8fc7-422f-9bae-0592cdfabfb4 |
[
{
"content": "If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to :\n\n['A)22', 'B)37', 'C)38', 'D)398', 'E)72']",
"role": "user",
"uuid": "6f1e151c-aef5-4afb-b08a-eb204d466754"
},
{
"content": "Explanation:\n3 * 5 + 5 * 3 = (2 * 3 - 3 * 5 + 3 * 5) + ( 2 * 5 - 3 * 3 + 5 * 3)\n= (6 + 10 - 9 + 15) = 22.\nAnswer: A) 22",
"role": "assistant",
"uuid": "55ee5d13-f488-436a-b8d4-b65c036c9d19"
}
]
| aqua-rat | {
"coherence": 3.58,
"complexity": 1.67,
"correctness": 2.7,
"helpfulness": 2.98,
"instruction-following": 3.8,
"safety": 3.7,
"verbosity": 1.02,
"verbosity-coeff": -0.104
} | 3.4 | e42d8b96-6283-451b-987e-45fde02df795 |
[
{
"content": "When I was born, my mother was 23 years of age. After 6 years, when my sister was born, my father was 34 years of age. what is the difference between the ages of my parents?\n\n['A)17 years', 'B)11 years', 'C)6 years', 'D)5 years', 'E)8 years']",
"role": "user",
"uuid": "47eb9fc4-ac8c-488a-882d-c0b3865ab9c8"
},
{
"content": "When age of Son=0 ,Mother=23\nAfter 6 years, Son=6 ,Mother=23+6=29 ,Father=34\nSo difference between ages of Mother & Father=34-29=5\nANSWER:D",
"role": "assistant",
"uuid": "3506cfb9-3fb0-40bc-983a-1ab207752dd9"
}
]
| aqua-rat | {
"coherence": 2.74,
"complexity": 1.32,
"correctness": 2.41,
"helpfulness": 2.47,
"instruction-following": 2.94,
"safety": 5.87,
"verbosity": 0.84,
"verbosity-coeff": -0.1464
} | 3.5 | 5132f457-516a-41de-9777-f35a0852f66a |
[
{
"content": "FEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits. If $10,000 is deposited, what will be the ratio of the interest earned in the 4th year to the interest earned in the 5th year?\n\n['A)1:5', 'B)625:3125', 'C)100:105', 'D)100^4:105^4', 'E)725:3225']",
"role": "user",
"uuid": "8bea17f8-3704-45e2-9dd9-3b36e8a22e76"
},
{
"content": "Hi Bunuel,\nHere is my approach: is this correct?\nFEDERAL bank offers an interest of 5% per annum compounded annually on all its deposits\nInterest earned in 4 year= 10000(1+0.05)^4\nInterest earned in 5 year= 10000(1+0.05)^5\nRatio= {10000(1.05)^4}/{10000(1.05^5)} =>1.05^4/1.05^5 =>1/1.05 Multiplied by 100 in both numerator and denominator gives 100:105\nHence Ans:C",
"role": "assistant",
"uuid": "99e4c45d-b3da-4d79-baf4-ab0a016fb2b5"
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]
| aqua-rat | {
"coherence": 2.41,
"complexity": 1.76,
"correctness": 2,
"helpfulness": 1.88,
"instruction-following": 1.84,
"safety": 4.77,
"verbosity": 1.41,
"verbosity-coeff": -0.2102
} | 2.8 | c36fbdbe-6577-4684-9e3c-5fe09c8d891e |
[
{
"content": "The sum of two consecutive integers is 31. Find the numbers.\n\n['A)17, 18', 'B)7, 8', 'C)15, 16', 'D)1, 2', 'E)8, 9']",
"role": "user",
"uuid": "e95ad853-9c4f-4bf3-8463-30da081f76ed"
},
{
"content": "n + (n + 1) = 31\n2n + 1 = 31\n2n = 30\nn = 15\nAnswer: C",
"role": "assistant",
"uuid": "09420a1c-dbbf-4315-898e-ebd7c100ec1a"
}
]
| aqua-rat | {
"coherence": 2.68,
"complexity": 1.64,
"correctness": 2.74,
"helpfulness": 2.94,
"instruction-following": 3.97,
"safety": 4.81,
"verbosity": 0.77,
"verbosity-coeff": -0.131
} | 3.5 | ca12ee7c-513c-4bf9-b0c9-5f8e5b2437b4 |
[
{
"content": "A, B and C can do a piece of work in 9 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?\n\n['A)4.12 days', 'B)4.52 days', 'C)3.52 days', 'D)2.52 days', 'E)4.92 days']",
"role": "user",
"uuid": "ba35a998-eeaf-45ff-a9aa-346cc02d804c"
},
{
"content": "1/9 + 1/14 + 1/28 = 55/252\n=> 252/55 days\n=>4.52 days\nANSWER:B",
"role": "assistant",
"uuid": "135ccdfc-87c6-42a8-8b9e-74a664d195c6"
}
]
| aqua-rat | {
"coherence": 2.74,
"complexity": 1.03,
"correctness": 2.51,
"helpfulness": 2.66,
"instruction-following": 3.6,
"safety": 5.52,
"verbosity": 1.11,
"verbosity-coeff": -0.1156
} | 3.6 | 5198450e-04d9-42b6-9e42-8d026d4c0c60 |
[
{
"content": "A woman sold 300 oranges at $12.10, some at the rate of 3 for 35 cents and the rest at 7 for 85 cents. How many were sold at the first rate?\n\n['A)45', 'B)21', 'C)9', 'D)15', 'E)13']",
"role": "user",
"uuid": "325dbff5-9638-4d06-997b-587a6305dd0c"
},
{
"content": "This can be solved like a classical mixture problem but numbers are awkward to deal with.\nIt's easier to just look at the answer choices. You know that a multiple of 3 oranges has to be sold at the first rate, and a multiple of 7 at the second rate. You simple subtract the answer choices for the first rate from 300 and check whether the remainder (i.e. the number of oranges sold at the second rate) is a multiple of 7.\n300 - 45 = 255 => not a multiple of 7 so exclude\n300 - 21 = 279 => not a multiple of 7 so exclude\n300 -9 = 291 => not a multiple of 7 so exclude\n300 - 15 = 285 => not a multiple of 7 so exclude\n300 -13=287 => a multiple of 7 so keep\nHence, answer choice 13 is correct.\nE",
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"uuid": "fe4b05ab-f4f3-4b0a-920b-bde7d16b1085"
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]
| aqua-rat | {
"coherence": 2.98,
"complexity": 1.79,
"correctness": 2.27,
"helpfulness": 2.18,
"instruction-following": 2.35,
"safety": 4.85,
"verbosity": 1.29,
"verbosity-coeff": -0.165
} | 3.1 | 3baa4f39-e3e9-4e77-b166-90e53357f7fe |
[
{
"content": "A boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream,it takes 5 hours.What is the speed of the boat in still water ?\n\n['A)4 km/hr', 'B)6 km/hr', 'C)7 km/hr', 'D)Data inadequate', 'E)None of these']",
"role": "user",
"uuid": "c2d96e26-21d9-4457-a424-5f5cf5bb20ca"
},
{
"content": "Solution\nRate downstream =(20/2) kmph = 10 kmph, Rate upstream =(20/5) = 4 kmph.\n∴ Speed in still water =1/2(10+4) kmph = 7 kmph. Answer C",
"role": "assistant",
"uuid": "e09935db-da8a-4e56-ac54-05ff8f781eed"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 1.5,
"correctness": 2.62,
"helpfulness": 2.62,
"instruction-following": 3.93,
"safety": 6.14,
"verbosity": 1.26,
"verbosity-coeff": -0.1105
} | 3.6 | a3d28ca3-2846-4738-879d-1d9a764f6fac |
[
{
"content": "The average of five consecutive odd numbers A, B, C, D and E is 33. What percent of A is D ?\n\n['A)86.8', 'B)88.6', 'C)89.2', 'D)90.1', 'E)92.2']",
"role": "user",
"uuid": "03cf232e-4ad6-4a50-bdf3-c85d768d7fa1"
},
{
"content": "Explanation :\nIn such a case the middle number (C) is the average\n∴ C = 33 and A = 31 and D = 35\nRequired percentage = 31/35 x 100 = 88.6\nAnswer : Option B",
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"uuid": "78505bad-fb13-48ff-9695-69ec3c6c1a6e"
}
]
| aqua-rat | {
"coherence": 2.84,
"complexity": 1.82,
"correctness": 2.39,
"helpfulness": 2.51,
"instruction-following": 2.86,
"safety": 4.44,
"verbosity": 0.95,
"verbosity-coeff": -0.1611
} | 3.2 | f9683b27-dc29-4188-8d88-53aa5942338a |
[
{
"content": "When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?\n\n['A)$255', 'B)$275', 'C)$510', 'D)$1,250', 'E)$2,550']",
"role": "user",
"uuid": "ce3f64e0-1e78-4200-b004-1a74b608d66c"
},
{
"content": "Total no. Of boxes = 3060000/(20×20×15) = 510\nTotal cost = 510×$0.5=$255\nAnswer A",
"role": "assistant",
"uuid": "d025a340-51fe-46b7-a790-2dadb0507fde"
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]
| aqua-rat | {
"coherence": 3.09,
"complexity": 0.34,
"correctness": 2.74,
"helpfulness": 2.8,
"instruction-following": 3.5,
"safety": 3.93,
"verbosity": 0.85,
"verbosity-coeff": -0.1843
} | 3.6 | 9188cffa-7171-4b5b-89f4-9bafb031e2ba |
[
{
"content": "In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If two-sevenths of the male students are married, what fraction of the female students is married?\n\n['A)2/7', 'B)1/3', 'C)1/2', 'D)2/3', 'E)5/7']",
"role": "user",
"uuid": "5bdfc682-c4bc-4a1e-aec8-c30896148bc0"
},
{
"content": "let assume there are 100 students of which 70 are male and 30 are females\nif 30 are married then 70 will be single.\nnow its given that two-sevenths of the male students are married that means 2/7 of 70 = 20 males are married\nif 30 is the total number of students who are married and out of that 20 are males then the remaining 10 will be females who are married.\ntotal females = 30\nmarried females = 10\nthen single females = 30-10 = 20\nwe need to find the fraction of female students who are single i.e single female students / total female student\n= 10/30 = 1/3 [B]",
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"uuid": "1536be7c-5f39-409d-8c53-65c4cd2d0b2d"
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]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1,
"correctness": 2.31,
"helpfulness": 2.31,
"instruction-following": 2.04,
"safety": 6.38,
"verbosity": 1.17,
"verbosity-coeff": -0.178
} | 3.4 | ec371a75-b50f-4a34-81a3-ece61e173a3d |
[
{
"content": "If a train, travelling at a speed of 18 kmph, crosses a pole in 5 sec, then the length of train is?\n\n['A)281 m', 'B)25 m', 'C)50 m', 'D)125 m', 'E)75 m']",
"role": "user",
"uuid": "4fec3438-37a4-405a-88b1-26dc721a31c8"
},
{
"content": "B\nB = 18 * 5/18 * 5 = 25 m",
"role": "assistant",
"uuid": "6c75d25a-20f9-49d9-91ea-7114b4747a7a"
}
]
| aqua-rat | {
"coherence": 2.53,
"complexity": 0.87,
"correctness": 1.81,
"helpfulness": 2.1,
"instruction-following": 2.27,
"safety": 4.4,
"verbosity": 0.5,
"verbosity-coeff": -0.1168
} | 3.1 | 4dc2a0be-a257-4512-8141-b23b4ba16368 |
[
{
"content": "If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?\n\n['A)227', 'B)299', 'C)270', 'D)585', 'E)271']",
"role": "user",
"uuid": "e577330d-72bf-4da3-8c67-4eab0043bad0"
},
{
"content": "90 = (450*4*R)/100\nR = 5%\nI = (450*6*5)/100 = 135\n450 + 135 = 585\nAnswer: C",
"role": "assistant",
"uuid": "8d8a3383-c7ec-4115-bb42-3a7a26bdd0c0"
}
]
| aqua-rat | {
"coherence": 2.62,
"complexity": 0.98,
"correctness": 1.87,
"helpfulness": 2.06,
"instruction-following": 2.72,
"safety": 5.44,
"verbosity": 0.76,
"verbosity-coeff": -0.1196
} | 3.3 | bf6f4cac-6cfa-442a-a2e5-31742d5bdb82 |
[
{
"content": "A military garrison in a wild frontier has 600 men who have provisions to last 25 weeks. At the end of 6 weeks they are joined by another 300 men. How long will the provisions last?\n\n['A)13 1/3', 'B)12 1/3', 'C)38', 'D)36', 'E)12 3/4']",
"role": "user",
"uuid": "b60420f9-924c-4f60-8e96-c70b3198afee"
},
{
"content": "Total provisions=600*25*7=105000\nProvisions used for in 6 weeks=6*7*600=25200\nremaining provisions=79800\nremaining provisions need to be split between 900(600+300) people.\nNumber of provisions per person= 79800/900\nwe need to find the answer in terms of weeks=(79800/900)/7=38\nAnswer:C",
"role": "assistant",
"uuid": "f20f75d4-75f4-4795-99d7-0f47c709b1f4"
}
]
| aqua-rat | {
"coherence": 2.86,
"complexity": 1.76,
"correctness": 2.39,
"helpfulness": 2.33,
"instruction-following": 3.15,
"safety": 5.95,
"verbosity": 1.55,
"verbosity-coeff": -0.1168
} | 3.3 | 27d6ccc7-a3e8-4500-9a3e-f32b24b106df |
[
{
"content": "Calculate the cost of p meters of rope given that the cost of m meters of said rope is q rupees?\n\n['A)Rs.(q*m)', 'B)Rs.(pq/m)', 'C)Rs.(q/m)', 'D)Rs.(p/m)', 'E)Rs.(p*m)']",
"role": "user",
"uuid": "a927fb25-aabe-4b94-bf65-93c74b458116"
},
{
"content": "Cost of m metres = Rs. q.\nCost of 1 metre = Rs.\tq/m\nCost of p metres = Rs.(q/m)* p= Rs.(pq/m)\nAnswer is B.",
"role": "assistant",
"uuid": "719aa7fa-56ad-4d3e-845a-e6a5aeb9fb97"
}
]
| aqua-rat | {
"coherence": 3.33,
"complexity": 1.57,
"correctness": 2.57,
"helpfulness": 2.8,
"instruction-following": 3.48,
"safety": 5.32,
"verbosity": 0.71,
"verbosity-coeff": -0.098
} | 3.6 | bdba179a-0c02-40f1-8829-35e5edcf19f2 |
[
{
"content": "A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:\n\n['A)22', 'B)88', 'C)12', 'D)73', 'E)29']",
"role": "user",
"uuid": "db39f92a-462a-4056-98a3-bc5096eb9ec6"
},
{
"content": "Explanation:\nS.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.\nS.I. for 5 years = Rs. = Rs.3675\nPrinciple = Rs.(9800-3675) = Rs.6125\nHence, Rate = =12%\nAnswer: C) 12%",
"role": "assistant",
"uuid": "b6190014-ac4d-45eb-b399-6ca9cdf35062"
}
]
| aqua-rat | {
"coherence": 3.41,
"complexity": 1.03,
"correctness": 2.55,
"helpfulness": 3,
"instruction-following": 3.52,
"safety": 5.12,
"verbosity": 0.51,
"verbosity-coeff": -0.1095
} | 3.7 | 48e5a700-98cf-42aa-ba16-19e0883906d0 |
[
{
"content": "Raja buys 100 shares of par value Rs. 15 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.\n\n['A)2', 'B)4', 'C)5', 'D)6', 'E)18']",
"role": "user",
"uuid": "d8a0d681-196f-486d-8d99-650c24f79725"
},
{
"content": "Face value of each share = Rs.15\nTotal dividend received by Raja= 100×15×12/100 = Rs.180\nLet market value of 100 shares = Rs.x\nx×10/100=180\nx =1800\nie, Market value of 100 shares = Rs.1800\nHence, Market value of each share = Rs.18\nAnswer is E",
"role": "assistant",
"uuid": "280c54f5-7b05-4380-93e0-fa70c643c8e7"
}
]
| aqua-rat | {
"coherence": 2.61,
"complexity": 2.23,
"correctness": 2.37,
"helpfulness": 2.55,
"instruction-following": 2.96,
"safety": 4.46,
"verbosity": 1.57,
"verbosity-coeff": -0.1199
} | 3 | 789d7e6b-51c0-4b7d-854c-6c6ffac1b6e8 |
[
{
"content": "At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?\n\n['A)62.5', 'B)62.9', 'C)52.1', 'D)62.6', 'E)62.1']",
"role": "user",
"uuid": "beecffdc-4ba8-41e7-ac39-b09bae7e4c2a"
},
{
"content": "CP = 47.50\nSP = 47.50*(125/100) = 59.375\nMP*(95/100) = 59.375\nMP = 62.5\nAnswer: A",
"role": "assistant",
"uuid": "2c59ac08-a4e4-4778-a2d9-2cf73a7a7005"
}
]
| aqua-rat | {
"coherence": 3.15,
"complexity": 1.16,
"correctness": 2.37,
"helpfulness": 2.62,
"instruction-following": 3.52,
"safety": 5.09,
"verbosity": 0.91,
"verbosity-coeff": -0.1354
} | 3.5 | dd5b4fe6-4019-4d46-a038-b6b78df0930d |
[
{
"content": "A person want to give his money of $1800 to his 3 children A,B,C in the ratio 2:3:4. What is the B's share?\n\n['A)$700', 'B)$600', 'C)$900', 'D)$500', 'E)$400']",
"role": "user",
"uuid": "f446d93a-53ff-4d06-b537-bf6680371bba"
},
{
"content": "B's share = 1800*3/9 = $600\nAnswer is B",
"role": "assistant",
"uuid": "bbaf261f-952d-45c0-9fa4-615e41339084"
}
]
| aqua-rat | {
"coherence": 3.17,
"complexity": 0.49,
"correctness": 3.23,
"helpfulness": 3.5,
"instruction-following": 3.72,
"safety": 4.58,
"verbosity": 0.65,
"verbosity-coeff": -0.0956
} | 3.9 | 51e2df91-eb10-49f9-9719-9aaf664e4956 |
[
{
"content": "On a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. What is the average speed, in km per hour, for the entire trip?\n\n['A)15.5', 'B)16.0', 'C)17.5', 'D)19.0', 'E)18.5']",
"role": "user",
"uuid": "b8737921-9b0e-4128-a615-16770404aabb"
},
{
"content": "time 1 = 200 / 20 = 10 hours\ntime 2 = 150 / 15 = 10 hours\ntotal time = 20 hours\naverage speed = 350 / 20 = 17.5 km/hr\nThe answer is C.",
"role": "assistant",
"uuid": "76a6b9c2-2d48-4b22-816f-0942534c8181"
}
]
| aqua-rat | {
"coherence": 3.33,
"complexity": 1.16,
"correctness": 2.64,
"helpfulness": 2.7,
"instruction-following": 3.86,
"safety": 5.24,
"verbosity": 0.42,
"verbosity-coeff": -0.2191
} | 3.7 | 153781d4-721b-445b-b932-cabda84b6758 |
[
{
"content": "What is the lowest possible common multiple Y of 2 distinct integers, each greater than 329?\n\n['A)330·331', 'B)330^2', 'C)33·331', 'D)660', 'E)330']",
"role": "user",
"uuid": "ce619999-c2de-44a9-87de-ac901cd4eeb3"
},
{
"content": "Lowest possible common multiple Y of 2 distinct integers will have to be multiple of the number greater than 329...which 330..\nso one number will be 330...another one will be 660..\nAns is D.",
"role": "assistant",
"uuid": "031113d5-860b-441f-9176-372d33e77841"
}
]
| aqua-rat | {
"coherence": 2.31,
"complexity": 1.38,
"correctness": 1.74,
"helpfulness": 1.63,
"instruction-following": 1.16,
"safety": 4.97,
"verbosity": 1.36,
"verbosity-coeff": -0.2057
} | 2.7 | 0d528ae1-5926-4530-a695-ee35bfe37c54 |
[
{
"content": "Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit?\n\n['A)Rs. 14.80', 'B)Rs. 15.40', 'C)Rs. 15.60', 'D)Rs. 16.30', 'E)Rs. 18.20']",
"role": "user",
"uuid": "81a3758c-becd-4b80-b9ec-8ec0a5c0e537"
},
{
"content": "Explanation:\nC.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.\nS.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.\nS.P. per kg = 819/50 = Rs. 16.38 = 16.30.\nANSWER IS D",
"role": "assistant",
"uuid": "fe665528-ba3b-4800-848e-9f1067b29380"
}
]
| aqua-rat | {
"coherence": 2.62,
"complexity": 2.12,
"correctness": 2.12,
"helpfulness": 2.49,
"instruction-following": 3.58,
"safety": 6.34,
"verbosity": 1.79,
"verbosity-coeff": -0.1307
} | 3.3 | 6dc9920e-35ab-42a7-b771-d19d56672ab1 |
[
{
"content": "Two persons starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?\n\n['A)18', 'B)28', 'C)21', 'D)17', 'E)19']",
"role": "user",
"uuid": "e52fa1a0-0bf5-41d7-88e3-dcaedcf3a4a5"
},
{
"content": "D\n17 hrs\nThe relative speed of the boys = 5.5kmph – 5kmph\n= 0.5 kmph\nDistance between them is 8.5 km\nTime= 8.5km / 0.5 kmph = 17 hrs",
"role": "assistant",
"uuid": "bdfd16a0-75ec-4e5d-aa20-dfbae43f1e09"
}
]
| aqua-rat | {
"coherence": 2.88,
"complexity": 1.41,
"correctness": 2.21,
"helpfulness": 2.35,
"instruction-following": 2.92,
"safety": 4.38,
"verbosity": 0.99,
"verbosity-coeff": -0.1329
} | 3.2 | 2c1bdfd4-7451-4511-9160-65b70631a7a0 |
[
{
"content": "In a decade, a town’s population increases from 175000 to 262500. What is the average % increase of population each year?\n\n['A)9%', 'B)2%', 'C)5%', 'D)7%', 'E)1%']",
"role": "user",
"uuid": "264b0320-a602-4900-bd5d-c5e56aef2c52"
},
{
"content": "Explanation:\nIncrease in population in 10 years= 262500-175000= 87500\nNow, % increase will be increase in (population /original population) * 100\n=> 87500/175000*100= 50% increase in population over 10 years\nTherefore, Average % increase each year= 50/10= 5%\nANSWER: C",
"role": "assistant",
"uuid": "9c3b4ac3-da68-451b-97da-afa9b6bea6a9"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 2.02,
"correctness": 2.82,
"helpfulness": 2.84,
"instruction-following": 3.48,
"safety": 4.97,
"verbosity": 1.43,
"verbosity-coeff": -0.1295
} | 3.4 | 80a76d81-2583-4df9-8254-80962733c0d3 |
[
{
"content": "A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:\n\n['A)no profit, no loss', 'B)20% profit', 'C)less than 20% profit', 'D)more than 20% profit', 'E)None']",
"role": "user",
"uuid": "a276b1cc-ec73-4a53-a8c2-7dea67a919c3"
},
{
"content": "Let the article be worth Rs. x.\nC.P. 90% of Rs. x = Rs. 9x/10\nS.P. = 110% of Rs. x = Rs. 11x/10\nGain = (11x/10 - 9x/10) = Rs. x/5\nGain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%\nANSWER:D",
"role": "assistant",
"uuid": "e3eb78bc-a1ed-4a10-808f-2ea6bf98ea16"
}
]
| aqua-rat | {
"coherence": 2.76,
"complexity": 2.02,
"correctness": 2.88,
"helpfulness": 3.09,
"instruction-following": 3.52,
"safety": 4.93,
"verbosity": 1.93,
"verbosity-coeff": -0.1225
} | 3.3 | 99d839ad-3177-45a6-8531-59d3f428ee58 |
[
{
"content": "A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?\n\n['A)Thumb', 'B)Index finger', 'C)Middle finger', 'D)Ring finger', 'E)none']",
"role": "user",
"uuid": "82d761ea-92eb-4d64-984b-d2d951422c0a"
},
{
"content": "while counting the numbers associated to the thumb will be 1,9,17,25,.........\ni.e., numbers of the form (8n + 1 ).\nwhere n=1,2,3...\nSince 1994 = 249 × 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.\nANSWER:B",
"role": "assistant",
"uuid": "f160b0e7-5ceb-44bd-ab62-6e3cdadcfaff"
}
]
| aqua-rat | {
"coherence": 2.96,
"complexity": 2.39,
"correctness": 2.37,
"helpfulness": 2.41,
"instruction-following": 3.33,
"safety": 4.25,
"verbosity": 2.16,
"verbosity-coeff": -0.1213
} | 3 | 6879f237-b3bf-4446-8385-623f7f5d5d3f |
[
{
"content": "There are an average of 117 jellybeans in each of 34 bags of various sizes. After adding another bag, the average number of jellybeans per bag increases by 7. How many jellybeans are in the new bag?\n\n['A)124', 'B)97', 'C)117', 'D)229', 'E)362']",
"role": "user",
"uuid": "795dbda2-2595-45d9-9cfb-bed663b5ec51"
},
{
"content": "Total jellybeans in 34 bags = 34*117 = 3978\nTotal jellybeans in 35 bags = 35*124 = 4340\nNumber of jellybeans in new bag = 3978-4340 = 362 jellybeans\nAnswer is E",
"role": "assistant",
"uuid": "d561e8fa-048f-4f0c-939e-66a869f737b6"
}
]
| aqua-rat | {
"coherence": 2.72,
"complexity": 0.96,
"correctness": 1.43,
"helpfulness": 1.79,
"instruction-following": 2.35,
"safety": 4.54,
"verbosity": 0.6,
"verbosity-coeff": -0.1959
} | 3 | 28926549-76c5-4a8c-84d1-45421689417a |
[
{
"content": "A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Euro 1000 more than D, what is B's share?\n\n['A)Euro 500', 'B)Euro 1500', 'C)Euro 2000', 'D)None of these', 'E)Cannot be determined']",
"role": "user",
"uuid": "4af050a9-08b1-478d-8336-15c228e37067"
},
{
"content": "Explanation: Let the shares of A, B, C and D be Euro 5x, Euro 2x, Euro 4x and Euro 3x respectively.\nThen, 4x - 3x = 1000\nx = 1000.\nB's share = Euro 2x = Euro (2 x 1000) = Euro 2000.\nAnswer: Option C",
"role": "assistant",
"uuid": "2a363c00-9705-4c2b-81bc-64bea98627ea"
}
]
| aqua-rat | {
"coherence": 3.19,
"complexity": 1.5,
"correctness": 2.55,
"helpfulness": 2.96,
"instruction-following": 3.35,
"safety": 4.97,
"verbosity": 0.98,
"verbosity-coeff": -0.1195
} | 3.5 | 63b960a2-f45d-4272-b77e-3777d31ce086 |
[
{
"content": "The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.\n\n['A)2 sq m', 'B)18 sq m', 'C)3 sq m', 'D)12 sq m', 'E)15 sq m']",
"role": "user",
"uuid": "eb196f4f-61e3-4d01-a45f-e9679c6a230b"
},
{
"content": "Explanation:\nArea S=(a+b+c)/2\nS = (1 + 2 + 3)/2 = 3 sq m.\nAnswer : C",
"role": "assistant",
"uuid": "97eb34c5-5f47-418d-9c63-fef854884692"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 1.28,
"correctness": 2.12,
"helpfulness": 2.41,
"instruction-following": 2.59,
"safety": 4.73,
"verbosity": 0.9,
"verbosity-coeff": -0.0818
} | 3.2 | 75fedff7-44e4-483e-a489-de8401d31421 |
[
{
"content": "If the sides of a triangle are 91 cm, 84 cm and 35 cm, what is its area?\n\n['A)120 cm2', 'B)1470 cm2', 'C)216 cm2', 'D)197 cm2', 'E)275 cm2']",
"role": "user",
"uuid": "e5ff4836-19e6-40ca-9843-3421717b8ccc"
},
{
"content": "The triangle with sides 91 cm, 84 cm and 35 cm is right angled, where the hypotenuse is 91 cm.\nArea of the triangle\n= 1/2 * 84 * 35\n= 1470 cm2\nAnswer: B",
"role": "assistant",
"uuid": "02794944-7fb6-463e-8da6-005756253e54"
}
]
| aqua-rat | {
"coherence": 3.02,
"complexity": 0.84,
"correctness": 2.29,
"helpfulness": 2.7,
"instruction-following": 3.17,
"safety": 4.97,
"verbosity": 0.82,
"verbosity-coeff": -0.1167
} | 3.5 | abd5f8a1-2e71-42de-8ce4-99d681be10dc |
[
{
"content": "What will come in place of the x in the following Number series? 4, 8 , 16, x , 44\n\n['A)33', 'B)37', 'C)28', 'D)41', 'E)43']",
"role": "user",
"uuid": "44c90100-7732-46bc-a7a2-25c7022c9bfa"
},
{
"content": "(C)\nThe pattern is + 4, + 8, + 12, +16 ………..\nSo the missing term is = 16+ 12= 28",
"role": "assistant",
"uuid": "a015adf5-6fe6-4595-bc1b-b61f00fa3cb7"
}
]
| aqua-rat | {
"coherence": 2.64,
"complexity": 1.37,
"correctness": 2.06,
"helpfulness": 2.47,
"instruction-following": 2.55,
"safety": 2.94,
"verbosity": 0.82,
"verbosity-coeff": -0.0908
} | 2.9 | f845580b-ae83-499e-9e2e-040e095390a1 |
[
{
"content": "The average consumption of petrol for a car for seven months is 110 litres and for next five months it is 86 litres. The average monthly consumption is ?\n\n['A)96 litres', 'B)98 litres', 'C)100 litres', 'D)102 litres', 'E)None']",
"role": "user",
"uuid": "263184a8-49a1-4d45-afa6-e6470ec4c2f6"
},
{
"content": "Answer\nAverage = ( sum of consumption of petrol in first 7 months + sum of consumption of petrol in last 5 months. ) / 12\nAverage = ( 110 x 7 + 86 x 5 ) / 12\n=(1200 / 12 = 100 liters\nCorrect Option: C",
"role": "assistant",
"uuid": "2d876c55-9749-4eba-8375-59bc260725c1"
}
]
| aqua-rat | {
"coherence": 2.96,
"complexity": 1.39,
"correctness": 2.02,
"helpfulness": 2.35,
"instruction-following": 3.04,
"safety": 5.05,
"verbosity": 0.81,
"verbosity-coeff": -0.118
} | 3.3 | 162f1633-e84a-470d-84cb-207d9febbea3 |
[
{
"content": "A is three years older than B who is thrice as old as C. If the total of the ages of A, B and C be 27, the how old is B?\n\n['A)10 years', 'B)12 years', 'C)14 years', 'D)15 years', 'E)8 years']",
"role": "user",
"uuid": "45d447da-0472-4bf2-a7d9-a5801d3cd163"
},
{
"content": "Let C's age be x years. Then, B's age = 3x years. A's age = (3x + 3) years.\n(3x + 3) + 3x + x = 31\n7x = 28\nx = 4.\nHence, B's age = 2x = 8 years.\nE)",
"role": "assistant",
"uuid": "232a6035-ec86-41b8-889a-186b65f960e5"
}
]
| aqua-rat | {
"coherence": 2.74,
"complexity": 1.2,
"correctness": 1.67,
"helpfulness": 1.88,
"instruction-following": 2.45,
"safety": 4.23,
"verbosity": 0.27,
"verbosity-coeff": -0.1249
} | 3.1 | 10904ef6-16b8-4a14-9bbe-6e99b3a5b9f3 |
[
{
"content": "Two trains 125 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?\n\n['A)7.2', 'B)7.17', 'C)7.19', 'D)7.15', 'E)7.11']",
"role": "user",
"uuid": "0eec9b4a-fa0b-4f8d-afd1-8181213e5237"
},
{
"content": "T = (125 + 165)/ (80 + 65) * 18/5\nT = 7.2\nAnswer:A",
"role": "assistant",
"uuid": "6807a65f-295a-4611-91d1-b360ad464d63"
}
]
| aqua-rat | {
"coherence": 2.68,
"complexity": 1.38,
"correctness": 1.96,
"helpfulness": 2.16,
"instruction-following": 3.23,
"safety": 4.58,
"verbosity": 1.1,
"verbosity-coeff": -0.1137
} | 3.2 | cdb56d94-329d-42ad-b317-d1fa5528426d |
[
{
"content": "If Finn was 20 months old one year ago, how old was he, in months, x months ago?\n\n['A)x − 30', 'B)x − 12', 'C)32 − x', 'D)24 − x', 'E)30 − x']",
"role": "user",
"uuid": "156a96f0-2496-44cd-b829-2d6d9420fa7f"
},
{
"content": "Age Today = 20 months + 12 months (1year) = 32 months\nX months ago- Today's Age - X = 32 - X\nAns- C",
"role": "assistant",
"uuid": "9768aec6-6a11-4b50-9bae-ac7dc9a6451e"
}
]
| aqua-rat | {
"coherence": 2.64,
"complexity": 1.13,
"correctness": 2.18,
"helpfulness": 2.33,
"instruction-following": 2.45,
"safety": 4.73,
"verbosity": 0.48,
"verbosity-coeff": -0.1098
} | 3.2 | 1099bd7d-ed5b-4d44-bddc-9efaef3cce3d |
[
{
"content": "In the Biotechnology class of 2000, there were Q graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is Q equal to?\n\n['A)69.', 'B)71.', 'C)73.', 'D)75.', 'E)76.']",
"role": "user",
"uuid": "9bf13392-3533-43ea-90ac-c263c55a9db1"
},
{
"content": "Total = 32 +45 -13 +9 = 73 .... My first post on the forum... I hope I am correct\nC is correct choice.",
"role": "assistant",
"uuid": "7c70e3e2-d319-42eb-8019-b846f109ebae"
}
]
| aqua-rat | {
"coherence": 2.92,
"complexity": 1.04,
"correctness": 1.97,
"helpfulness": 1.87,
"instruction-following": 2.39,
"safety": 4.85,
"verbosity": 0.12,
"verbosity-coeff": -0.1279
} | 3.3 | 3d095350-3016-4b66-8e3d-6d218cdf365d |
[
{
"content": "A grocer has a sale of Rs. 6400, Rs. 3545, Rs. 9500, Rs. 7500 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 5500?\n\n['A)Rs. 480', 'B)Rs. 555', 'C)Rs. 499', 'D)Rs. 490', 'E)Rs. 500']",
"role": "user",
"uuid": "b8690a29-a449-4e23-93b5-07a698b4e7b4"
},
{
"content": "Total sale for 4 months = Rs. (6400 +3545 +9500 + 7500 ) = Rs. 26945.\nRequired sale = Rs. [ (5500 x 5) - 26945 ]\n= Rs. (27500 - 26945)\n= Rs. 555.\nB)",
"role": "assistant",
"uuid": "df1095dd-e332-47aa-9739-d3eb96c7ab34"
}
]
| aqua-rat | {
"coherence": 3.19,
"complexity": 0.93,
"correctness": 2.61,
"helpfulness": 2.96,
"instruction-following": 3.48,
"safety": 5.4,
"verbosity": 0.68,
"verbosity-coeff": -0.1339
} | 3.7 | 64dc1e31-6ffa-4d08-8da5-30fa215e604c |
[
{
"content": "A lacrosse team plays games only against the other five teams in its league and always in the following order: Smiley, Ranch, Broad, Thomas and Jake. If the team’s final game of the season is against Thomas, which of the following could be the number of games in the team’s schedule?\n\n['A)34', 'B)72', 'C)56', 'D)24', 'E)81']",
"role": "user",
"uuid": "cbfafce3-618d-446d-8a55-09d0e570cf0d"
},
{
"content": "IMO 'D' is the answer.\nMatches will be in multiples of 5x+4. The answer that satisfies this condition is D",
"role": "assistant",
"uuid": "c3adfdc5-f177-4033-9c02-c6cf0900d4f3"
}
]
| aqua-rat | {
"coherence": 2.39,
"complexity": 1.75,
"correctness": 1.94,
"helpfulness": 2.04,
"instruction-following": 1.76,
"safety": 5.79,
"verbosity": 0.84,
"verbosity-coeff": -0.1433
} | 3 | edf21025-b5b2-47d0-9b3c-18fdda850024 |
[
{
"content": "A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 840 in 4 years. The\nrate on interest per annum is.\n\n['A)4%', 'B)5%', 'C)6%', 'D)7%', 'E)8%']",
"role": "user",
"uuid": "f49c9eb4-05a2-4cf2-8fda-09512d370862"
},
{
"content": "Explanation:\nS.I. on Rs 800 for 1 year = 40\nRate = (100*40)/(800*1) = 5%\nAnswer: B",
"role": "assistant",
"uuid": "de4df365-47f6-4d6d-b403-fba0ab83804e"
}
]
| aqua-rat | {
"coherence": 3.11,
"complexity": 1.64,
"correctness": 2.7,
"helpfulness": 2.9,
"instruction-following": 3.6,
"safety": 5.32,
"verbosity": 0.93,
"verbosity-coeff": -0.1169
} | 3.6 | dd7d8cb9-15bd-47d0-94c8-5e31eb2e2d85 |
[
{
"content": "How many arrangements of the letters of the word BEGIN can be made, without changing the place of the vowels in the word?\n\n['A)4', 'B)6', 'C)7', 'D)8', 'E)9']",
"role": "user",
"uuid": "3d3a0374-7bc9-4b53-bcc9-7add54a5c140"
},
{
"content": "E,I fixed. Consonants can be arrangements in 3P3 = 3! = 6 ways\nOption 'B'",
"role": "assistant",
"uuid": "62e0227d-4d10-4e42-9d53-173a62339bee"
}
]
| aqua-rat | {
"coherence": 2.82,
"complexity": 1.11,
"correctness": 2.55,
"helpfulness": 2.45,
"instruction-following": 2.82,
"safety": 4.81,
"verbosity": 0.69,
"verbosity-coeff": -0.2211
} | 3.4 | e82e7169-90bf-4be4-b734-9e14fafb45fb |
[
{
"content": "A group of 10 representatives is to be selected out of 14 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?\n\n['A)14C₅ * 10', 'B)14C₇ * 10', 'C)14C9 * ¹⁰C₅', 'D)12 * ¹⁰C₅', 'E)None of these']",
"role": "user",
"uuid": "ee022928-2936-447e-9738-bd8c47959b71"
},
{
"content": "Here, five seniors out of 14 seniors can be selected in 14C₅ ways. Also, five juniors out of ten juniors can be selected ¹⁰C₅ ways. Hence the total number of different ways of selection = 14C₅ * ¹⁰C₅ = 14C9 * ¹⁰C₅\nsince 14C₅ = 14C9\nANSWER:C",
"role": "assistant",
"uuid": "640a0a40-fe87-4f12-8882-647e928bbc72"
}
]
| aqua-rat | {
"coherence": 2.76,
"complexity": 2.1,
"correctness": 2.35,
"helpfulness": 2.72,
"instruction-following": 3.52,
"safety": 5.01,
"verbosity": 1.27,
"verbosity-coeff": -0.1696
} | 3.3 | 6d3918b7-67f2-4202-b9ef-c9c4492785e9 |
[
{
"content": "20. A certain church bell rings the bell twice at half past the hour and four\ntimes at the hour plus an additional number of rings equal to what ever\ntime it is. How many rings will the clock make from 6:20 in the morning\nto 08:10 in the morning?\n\n['A)27', 'B)36.', 'C)42.', 'D)46.', 'E)50.']",
"role": "user",
"uuid": "adb7c6f1-2b03-49b8-b909-c891b4ff5214"
},
{
"content": "@ 6:30 - 2\n@ 7 - 4+7 =11\n@ 7:30 - 2\n@ 8 - 12\ntotals to A=27",
"role": "assistant",
"uuid": "c54860da-ca9d-44b5-a97b-80f577e96dcd"
}
]
| aqua-rat | {
"coherence": 2.64,
"complexity": 1.18,
"correctness": 2,
"helpfulness": 2.16,
"instruction-following": 2.55,
"safety": 5.67,
"verbosity": 0.5,
"verbosity-coeff": -0.1219
} | 3.3 | f34b3fa1-5d86-49b9-8824-1a3fc3eba5cd |
[
{
"content": "Out of the three numbers A, B and C, A exceeds B by 20 and C exceeds A by 55. If the sum of all the numbers is 230, What is the difference between the largest and the smallest number?\n\n['A)87', 'B)65', 'C)75', 'D)19', 'E)11']",
"role": "user",
"uuid": "f335668c-7977-45c3-be4f-a230b4f209a6"
},
{
"content": "Explanation:\nWe have , A = B + 20 & C = A + 55 = B + 75\nThus, (B + 20) + (B) + (B + 75) = 230\nB = 45\nThus, A = 65 & C = 120. Hence, (C) – (B) = 120 – 45 = 75\nShort-Cut Method : Since C is larger than A by 55 and A is larger than B by 20, we get, the Required difference = 55 + 20 = 75 (without calculating the actual values of A, B and C).\nANSWER:C",
"role": "assistant",
"uuid": "a2ddcba0-c92d-411e-8a78-a0e7b0223984"
}
]
| aqua-rat | {
"coherence": 2.9,
"complexity": 2.04,
"correctness": 2.74,
"helpfulness": 2.64,
"instruction-following": 3.33,
"safety": 4.62,
"verbosity": 1.36,
"verbosity-coeff": -0.1243
} | 3.3 | 71386968-9502-4fdd-be94-a84750b1a5b1 |
[
{
"content": "What is 3/4 of 4/5 of 2/3?\n\n['A)1/4', 'B)2/5', 'C)9/16', 'D)5/8', 'E)16/9']",
"role": "user",
"uuid": "b2997e94-4d55-44ee-9137-5e8252fe6f42"
},
{
"content": "3/4 * 4/5 * 2/3= 2/5\nAnswer: B",
"role": "assistant",
"uuid": "1b7ea754-d257-4276-bf64-35e9bccc18db"
}
]
| aqua-rat | {
"coherence": 2.45,
"complexity": 0.95,
"correctness": 1.91,
"helpfulness": 2.1,
"instruction-following": 2.59,
"safety": 4.66,
"verbosity": 0.13,
"verbosity-coeff": -0.1287
} | 3.2 | c69d647d-435a-4e4d-94ef-f9ebe5873806 |
[
{
"content": "When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)\n\n['A)x – r – z', 'B)(x+r)/z', 'C)x/z−r', 'D)(x−r)/z', 'E)xr – z']",
"role": "user",
"uuid": "e55a28fd-21bc-4a62-b1d5-c50f75994479"
},
{
"content": "When x is divided by y, the quotient is z with remainder r. Which of the following is y in terms of r, x, and z? (Assume both y and z are nonzero.)\nA. x – r – z\nB. (x+r)/z\nC. x/z−r\nD. (x−r)/z\nE. xr – z\nGiven that when x is divided y, the quotient is z and remainder is r. This implies x-r is divisible by y and yz=(x-r) or y = (x-r)/z.\nAnswer D.",
"role": "assistant",
"uuid": "ad3b041f-0ab2-4130-acfc-d706bdd9b841"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 2.37,
"correctness": 2.62,
"helpfulness": 2.64,
"instruction-following": 3.15,
"safety": 5.01,
"verbosity": 1.61,
"verbosity-coeff": -0.1814
} | 3.2 | b11f3294-4afd-4e69-85f8-b91b8c0ddc21 |
[
{
"content": "A certain sum becomes Rs. 20720 in four years and 24080 in six years at simple interest. Find sum and rate of interest?\n\n['A)Rs. 12000; 12% p.a.', 'B)Rs. 22000; 12% p.a.', 'C)Rs. 12000; 22% p.a.', 'D)Rs. 12000; 14% p.a.', 'E)Rs. 12000; 16% p.a.']",
"role": "user",
"uuid": "61b59c14-c566-4db3-9cd1-3e55787688a3"
},
{
"content": "Let the interest for one year be x.\nAs amount = Principal + Interest, we have\nP + 4x = 20720 --- (1) ; P + 6x = 24080 --- (2)\nSolving the equations (1) and (2), we can get\nP = Rs. 14000 and x = Rs. 1680\nInterest for one year on Rs. 14000 is Rs. 1680\nSo, R = (100 * 1680)/(14000 * 1) = 12% p.a.\nANSWER:A",
"role": "assistant",
"uuid": "8819d705-bfea-4aec-b3e5-6735c9c79375"
}
]
| aqua-rat | {
"coherence": 2.82,
"complexity": 1.64,
"correctness": 2.35,
"helpfulness": 2.45,
"instruction-following": 3.58,
"safety": 3.95,
"verbosity": 1.2,
"verbosity-coeff": -0.0971
} | 3.2 | abdba386-f3dd-48b5-bfe0-186aeae82c1f |
[
{
"content": "A person was asked to state his age in years. His reply was , \"Take my age 5 years hence, multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old I am.\" What was the age of the person ?\n\n['A)18', 'B)92', 'C)27', 'D)26', 'E)30']",
"role": "user",
"uuid": "1a767b01-e9d1-4aa8-8ab2-6784492120d2"
},
{
"content": "Explanation:\nLet the present age of person be x years.\nThen, 3(x + 5) - 3(x - 5) = x <=> (3x + 15) - (3x - 15) = x <=> x = 30..\nAnswer: E",
"role": "assistant",
"uuid": "32616b4d-223c-44c5-b5c8-098a17df9935"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 1.42,
"correctness": 1.83,
"helpfulness": 2.12,
"instruction-following": 3.46,
"safety": 5.05,
"verbosity": 0.81,
"verbosity-coeff": -0.1328
} | 3.3 | 61689b5e-705c-499c-9cb5-3adcdfd37aa7 |
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