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[
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"content": "Kelly and Jody packed boxes with books. If Jody packed 40% of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number that Jody packed?\n\n['A)1 to 6', 'B)1 to 4', 'C)2 to 5', 'D)3 to 5', 'E)3 to 2']",
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"content": "Explanation:\nIf Jody packed 40% of the boxes then Kelly packed 60%. The ratio of the number of boxes Kelly packed to the number Jody packed is thus 60%/40%=3/2\nAnswer: Option E",
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| aqua-rat | {
"coherence": 3.02,
"complexity": 1.48,
"correctness": 2.72,
"helpfulness": 2.74,
"instruction-following": 3.07,
"safety": 6.14,
"verbosity": 1.16,
"verbosity-coeff": -0.1763
} | 3.6 | cb6398ae-066b-488c-8691-a3f812d76b42 |
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"content": "A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?\n\n['A)267', 'B)2667', 'C)200', 'D)269', 'E)265']",
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"content": "When the second train leaves Mumbai the first train covers 40 * 1 = 40 km\nSo, the distance between first train and second train is 40 km at 10.00am\nTime taken by the trains to meet\n= Distance / relative speed = 40 / (50 -40) = 4 hours\nSo, the two trains meet at 2 p.m. The two trains meet 4 * 50\n= 200 km away from Mumbai.\nAnswer:C",
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| aqua-rat | {
"coherence": 3.04,
"complexity": 1.41,
"correctness": 2.66,
"helpfulness": 2.92,
"instruction-following": 3.66,
"safety": 6.18,
"verbosity": 1.33,
"verbosity-coeff": -0.118
} | 3.7 | 2b11f06b-58bf-4a7d-834e-20fda7015527 |
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"content": "The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:\n\n['A)10.4 km', 'B)10.6 km', 'C)11.4 km', 'D)11 km', 'E)12 km']",
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"content": "Explanation:\nSpeed downstream = (22 + 4) = 26 kmph\nTime = 24 minutes = 24/60 hour = 2/5 hour\nDistance travelled = Time Γ speed = (2/5)Γ26 = 10.4 km\nAnswer: Option A",
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| aqua-rat | {
"coherence": 3.15,
"complexity": 1.16,
"correctness": 3.13,
"helpfulness": 3.27,
"instruction-following": 4.07,
"safety": 4.85,
"verbosity": 0.68,
"verbosity-coeff": -0.1204
} | 3.8 | 11886f04-96e8-4e1f-9106-40c0c56b0f0e |
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"content": "In 1990 a total of p earthquakes occurred worldwide, some but not all of which occurred in Asia. If r of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?\n\n['A)p/r', 'B)r/p', 'C)r/(p-r)', 'D)p/(p-r)', 'E)1- (r/p)']",
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"content": "We're given a couple of facts to work with:\n1) There were a total of p earthquakes\n2) Of those earthquakes, r of them occurred in Asia\nWe're asked for the ratio of the number of earthquakes that occurred IN ASIA to the number of earthquakes that DID NOT occur in Asia.\nLet's TEST VALUES\np = 5 total earthquakes\nr = 2 occurred in Asia\nThus, there were 3 earthquakes that DID NOT occur in Asia....\nThe answer to the question is 2:3\nWe just need to plug in the values for p and r and find the match...\nAnswer A: p/r = 5/2 NOT a match\nAnswer B: r/p = 2/5 NOT a match\nAnswer C: r/(p-r) = 2/(5-2) = 2/3 This IS a match\nAnswer D: p/(p-r) = 5/(5-2) = 5/3 NOT a match\nAnswer E: 1 - (r/p) = 1-2/5 = 3/5 NOT a match\nC",
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| aqua-rat | {
"coherence": 2.98,
"complexity": 1.69,
"correctness": 2.29,
"helpfulness": 2.16,
"instruction-following": 2.45,
"safety": 4.07,
"verbosity": 1.15,
"verbosity-coeff": -0.1934
} | 3 | f6fd2987-426b-4517-a3c7-367e52993d42 |
[
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"content": "SI on a sum of money for 2yrs at 5% per annum is Rs.50, what is the CI on the same at the same rate & for the same time?\n\n['A)Rs. 34.24', 'B)Rs. 41.25', 'C)Rs. 51.25', 'D)Rs. 59', 'E)Rs. 65']",
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"content": "Sum = Rs. 50 x 100 = Rs. 500.\n2 x 5\nAmount\n= Rs. 500 x 1 +\t5 2\n100\n= Rs. 500 x\t21\tx\t21\n20\t20\n= Rs. 551.25\nC.I. = Rs. (551.25 - 500) = Rs. 51.25\nC",
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| aqua-rat | {
"coherence": 2.72,
"complexity": 1.79,
"correctness": 1.87,
"helpfulness": 2.14,
"instruction-following": 2.74,
"safety": 4.17,
"verbosity": 1.5,
"verbosity-coeff": -0.1258
} | 2.9 | d2827ccc-d2d7-429d-93f8-6c4bdd159413 |
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"content": "Sam invested Rs. 3000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?\n\n['A)2554.0', 'B)3387.0', 'C)2503.0', 'D)3307.5', 'E)16537.11']",
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"content": "P = Rs. 3000 ; R = 10% p.a. = 5% per half-year; T = 1 year\n= 2 half-year\nAmount = [3000 * (1 + 5/100)2]\n= (3000 * 21/20 * 21/20)\n= Rs.3307.50\nAnswer:D",
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| aqua-rat | {
"coherence": 3.02,
"complexity": 1.46,
"correctness": 2.47,
"helpfulness": 2.8,
"instruction-following": 3.93,
"safety": 4.73,
"verbosity": 1.55,
"verbosity-coeff": -0.115
} | 3.4 | 7bc45bfe-0acf-4f58-b44d-2fd47ff5192d |
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"content": "Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?\n\n['A)457 km', 'B)444 km', 'C)547 km', 'D)564 km', 'E)453 km']",
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"content": "1h ----- 5\n? ------ 60\n12 h\nRS = 26 + 21 = 47\nT = 12\nD = 47 * 12 = 564\nAnswer:D",
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| aqua-rat | {
"coherence": 2.45,
"complexity": 1.02,
"correctness": 1.88,
"helpfulness": 2.04,
"instruction-following": 2.78,
"safety": 5.48,
"verbosity": 0.48,
"verbosity-coeff": -0.1176
} | 3.3 | 78579ae4-bd0f-4df3-9030-9c7121722680 |
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"content": "If a point (x,y) is randomly selected within the square shown in the figure above, (the vertices are on 1,1 1,-1, -1,1 -1,-1) what are\nthe Q odds that x^2+y^2>1?\n\n['A)1. pi/4', 'B)2. pi/16', 'C)3. Q=1-pi/4', 'D)4. Q=1-pi/16', 'E)5.4-pi']",
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"content": "area of the square will be 4, and the area of circle with center (0,0) and radius 1 will be pi.\nthen succesful outcomes = 4 - pi (the area where x2+y2 will be greater than 1)\ntotal outcomes = 4\ntherefore probability = (4-pi)/4\nC",
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| aqua-rat | {
"coherence": 2.66,
"complexity": 2.2,
"correctness": 2.8,
"helpfulness": 2.51,
"instruction-following": 3.19,
"safety": 3.88,
"verbosity": 1.38,
"verbosity-coeff": -0.1419
} | 3.1 | 68bd9054-a9e6-4b9f-ba69-9138ff861a38 |
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"content": "Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?\n\n['A)1/2', 'B)1/2', 'C)8/15', 'D)9 by 20', 'E)9/24']",
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"content": "Explanation :\nHere, S = {1, 2, 3, 4, ...., 19, 20}.\nLet E = event of getting a multiple of 3 or 5 = {3, 6 , 9, 12, 15, 18, 5, 10, 20}.\nP(E) = n(E)/n(S) = 9/20\nAnswer : D",
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| aqua-rat | {
"coherence": 2.47,
"complexity": 1.62,
"correctness": 1.83,
"helpfulness": 2.08,
"instruction-following": 2.88,
"safety": 6.53,
"verbosity": 1.37,
"verbosity-coeff": -0.2004
} | 3.3 | 8350a33e-fa11-430a-9b27-095f8a29638f |
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"content": "Sonika bought a V.C.R. at the list price of 18,900. If the rate of sales tax was 8%, find the amount she had to pay for purchasing the V.C.R.\n\n['A)20,412', 'B)19,780', 'C)19,680', 'D)19,380', 'E)None of these']",
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"content": "Sol. List price of V.C.R. =18,900\nRate of sales tax = 8%\nβ΄ Sales tax = 8% of 18,900\n= 8β100 Γ 18500 = 1512\nSo, total amount which Sonika had to pay for purchasing the V.C.R. = 18,900 + 1512\n= 20,412. Answer A",
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| aqua-rat | {
"coherence": 2.68,
"complexity": 1.05,
"correctness": 1.99,
"helpfulness": 2.23,
"instruction-following": 3.31,
"safety": 5.36,
"verbosity": 1.35,
"verbosity-coeff": -0.1151
} | 3.3 | caf27d14-baa8-4134-a84f-59b22fda443c |
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"content": "If x Β€ y = (x + y)^2 - (x - y)^2. Then β2 Β€ β2 =\n\n['A)0', 'B)8', 'C)10', 'D)15', 'E)20']",
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"content": "X = β2 and Y also =β2\nApplying the function (β2+β2)^2 - (β2-β2)^2 = (2β2)^2 - 0 = 4 x 2 = 8.\nNote: Alternative Approach is the entire function is represented as X^2 - Y^2 = (X+Y)(X-Y) which can be simplified as (x+y+x-y)(x+y-(x-y)) = (2x)(2y)=4xy. Substituting x=β2 and y = β2 you get the answer 8.\nAnswer B",
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| aqua-rat | {
"coherence": 3.07,
"complexity": 2.31,
"correctness": 2.88,
"helpfulness": 2.68,
"instruction-following": 3.27,
"safety": 4.54,
"verbosity": 1.67,
"verbosity-coeff": -0.1081
} | 3.2 | 020efc25-2b05-416f-9e91-0bb955a6266f |
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"content": "If log 27 = 1.467, then the value of log 9 is:\n\n['A)0.978', 'B)0.945', 'C)0.954', 'D)0.958', 'E)0.998']",
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"content": "log 27 = 1.467\nlog (3cube ) = 1.467\n3 log 3 = 1.467\nlog 3 = 0.489\nlog 9 = log(3square ) = 2 log 3 = (2 x 0.489) = 0.978.\nAnswer: Option A",
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| aqua-rat | {
"coherence": 2.55,
"complexity": 1.66,
"correctness": 2.2,
"helpfulness": 2.35,
"instruction-following": 3.07,
"safety": 5.55,
"verbosity": 1.13,
"verbosity-coeff": -0.1143
} | 3.3 | d0832c9e-8525-4912-aa78-6bc0e5e53c78 |
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"content": "which of the following is a prime number ?\n\n['A)17', 'B)18', 'C)15', 'D)20', 'E)25']",
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"content": "Clearly, 17 is a prime number.\nOption A",
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| aqua-rat | {
"coherence": 3.37,
"complexity": 1.19,
"correctness": 3.19,
"helpfulness": 3.23,
"instruction-following": 2.94,
"safety": 3.88,
"verbosity": 1.23,
"verbosity-coeff": -0.0915
} | 3.5 | f5301909-f992-4c90-b3bb-c383c625bb02 |
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"content": "Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. With the addition of the new biographies, the biography collection of the library amounts to 37.5% of the new total number of books in the library. If prior to the purchase, only 20% of the books in Keats Library were biographies, by what percent has the number of biographies in the library increased?\n\n['A)17.5%', 'B)62.5%', 'C)87.5%', 'D)140%', 'E)150%']",
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"content": "You are mixing a collection consisting of 20% biographies with a collection consisting of 100% biographies to give a collection consisting of 37.5% biographies. The weights of the two collections will be:\nw1/w2 = (A2 - Avg)/(Avg - A1) = (1 - 3/8)/(3/8 - 1/5) = (5/8)/(7/40) = 25/7\nSo if initial collection had a total of 25 books (including 1/5th biographies i.e. 5 biographies), 7 new biographies were added.\nBiographies have increased by (7/5)*100 = 140%\nAnswer (D)",
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| aqua-rat | {
"coherence": 2.62,
"complexity": 1.44,
"correctness": 1.97,
"helpfulness": 1.88,
"instruction-following": 2.39,
"safety": 4.54,
"verbosity": 1.22,
"verbosity-coeff": -0.1774
} | 3 | f674a980-55a0-430f-8f8b-2b507d02e4bb |
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"content": "80% of the population of a village is 64000. The total population of the village is?\n\n['A)26799', 'B)24000', 'C)80000', 'D)29973', 'E)12312']",
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"content": "X * (80/100) = 64000\nX = 800 * 100\nX = 80000\nAnswer: C",
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| aqua-rat | {
"coherence": 3.13,
"complexity": 1.32,
"correctness": 2.72,
"helpfulness": 2.84,
"instruction-following": 3.62,
"safety": 4.85,
"verbosity": 0.9,
"verbosity-coeff": -0.1188
} | 3.6 | a95417e7-53ab-47b3-b3c9-5a910690ad58 |
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"content": "If 75 percent of a class answered the first question on a certain test correctly, 35 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?\n\n['A)10%', 'B)(8) 20%', 'C)30%', 'D)50%', 'E)65%']",
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"content": "I didn't understand how to connect 20 percent with the whole equation.\nWhy 20 is out of the percentile diagram (circles) but inside of 100?\n20% appeared in the exam; however did not answer Question AQuestion B correctly\nSo they are out of the two circles, however as they have appeared in the exam, they have to be taken into consideration for calculation purpose\nI am doing it this way:\nSuppose the total class size is 100, then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both.\nNow,\n100 - [(75 - x) + x + (35 - x)] = 20 .......... values are in percent\nx = 20 - 100 + 110\nx = 30\nAns: C",
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"complexity": 1.63,
"correctness": 1.7,
"helpfulness": 1.61,
"instruction-following": 1.92,
"safety": 5.24,
"verbosity": 1.44,
"verbosity-coeff": -0.2044
} | 2.8 | 14276a4a-f847-4f1a-a68d-bfdbbfec6ef9 |
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"content": "A company has found that when x units of a product are manufactured and sold, its revenue is given by x 2 + 100 x dollars and its costs are given by 240 x + 500 dollars. How many units must be produced and sold to make a profit of 10,000 dollars? (HINT: profit = revenue - costs)\n\n['A)192', 'B)193', 'C)194.', 'D)195', 'E)196']",
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"content": "Let us use profit = revenue - costs to find a formula for the profit P\nP = ( x 2 + 100 x ) - ( 240 x + 500 )\nSubstitute P in the above equation by 10,000 dollars to obtain\n10000 = x 2 - 140 x - 500\nWrite the equation in standard form and solve for x\nx 2 - 140 x - 10500 = 0\nSolve the above equation for x\nx = 194.10 and x = -54.01\nThe number of units to produce must be positive, so\nx = 194.\nAs an exercise, check that for the above value of x the profit is approximately (because of the rounding) equal to 10,000.\nAnswer C",
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"complexity": 1.42,
"correctness": 2.06,
"helpfulness": 1.81,
"instruction-following": 2.66,
"safety": 3.29,
"verbosity": 1.1,
"verbosity-coeff": -0.2054
} | 2.8 | 076b871a-f4e7-44eb-afa7-01b964e0c53f |
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"content": "Kevin, David, and Catherine each try independently to solve a problem. If their individual probabilities for success are 1/2, 2/9 and 3/4, respectively, what is the probability all three will solve the problem?\n\n['A)1/12', 'B)1/8', 'C)1/3', 'D)1/4', 'E)1/6']",
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"content": "P(Kevin will solve)= 1/2\nP(David will solve)= 2/9\nP(Catherine will solve) = 3/4\nP= (1/2)*(2/9)*(3/4) = 6/72 = 1/12\nAnswer:A",
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| aqua-rat | {
"coherence": 3.05,
"complexity": 1.45,
"correctness": 3.05,
"helpfulness": 3.09,
"instruction-following": 3.99,
"safety": 4.77,
"verbosity": 1.21,
"verbosity-coeff": -0.1418
} | 3.6 | 9a3475b9-8069-40d7-8d79-93b5fabe0d59 |
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"content": "What is the remainder of W=3^19 when divided by 10?\n\n['A)0', 'B)1', 'C)5', 'D)7', 'E)9']",
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"content": "I looked for patterns:\n^2 - units digit 9\n^3 - units digit 7\n^4 - units digit 1\n^5 - units digit 3\nhence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9\nand we can then see:\n^16 - units digit 1, or\n^18 - units digit 9\nand ^19 - units digit 7\ntherefore, W=when divided by 10, the remainder must be 7.D",
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| aqua-rat | {
"coherence": 3,
"complexity": 2.41,
"correctness": 2.35,
"helpfulness": 2.12,
"instruction-following": 2.39,
"safety": 6.02,
"verbosity": 1.73,
"verbosity-coeff": -0.2132
} | 3.1 | b74af555-5a20-4c11-a85b-a9b3257884a6 |
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"content": "If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:\n\n['A)1:1', 'B)1:9', 'C)1:2', 'D)1:5', 'E)1:6']",
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"content": "Explanation:\nA square and a rhombus on the same base are equal in area\nAnswer: A) 1:1",
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"coherence": 3.43,
"complexity": 1.12,
"correctness": 2.64,
"helpfulness": 2.78,
"instruction-following": 2.31,
"safety": 4.32,
"verbosity": 0.86,
"verbosity-coeff": -0.119
} | 3.4 | 3c23e0ee-a4ab-493a-9aaf-1ceb1a77325d |
[
{
"content": "Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?\n\n['A)1 litre paint', 'B)1 litre water', 'C)ΓΒ½ litre water and one litre paint', 'D)ΓΒ½ litre paint and one litre water', 'E)None of these']",
"role": "user",
"uuid": "521f3abf-4f47-4deb-bb9e-38f282057033"
},
{
"content": "Explanation:\nAt the moment the paint is 3 liters of paint and 3 liters of water. We need to add to this to make the new ratio 2 liters paint to 1.5 liters water. As this is equivalent to 4 : 3 we can see that we have the right amount of water, and just need 1 liter of paint to make it correct.\nAnswer: A",
"role": "assistant",
"uuid": "faad7ce3-0b8c-42ca-8d7c-56f7af4668ba"
}
]
| aqua-rat | {
"coherence": 2.92,
"complexity": 1.73,
"correctness": 2.25,
"helpfulness": 2.29,
"instruction-following": 2.78,
"safety": 3.99,
"verbosity": 1.46,
"verbosity-coeff": -0.1226
} | 3 | 59109a54-877a-4d57-8f39-aa3248fff01f |
[
{
"content": "Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 12 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 3 days?\n\n['A) 6', 'B) 9', 'C) 10', 'D) 12', 'E) 15']",
"role": "user",
"uuid": "60cc32cb-61d4-4cdf-b40b-99ff8a09b8b1"
},
{
"content": "This is an inverse proportional problem......\n5 pipes in 12 days; So for 3 days, it will be = 12 x 5 / 3 = 20\nSo, 20-5 = 15\nAnswer E",
"role": "assistant",
"uuid": "ebf15626-9ddf-4141-9617-b8ec7d4176e3"
}
]
| aqua-rat | {
"coherence": 2.59,
"complexity": 0.85,
"correctness": 2.23,
"helpfulness": 2.37,
"instruction-following": 2.62,
"safety": 6.26,
"verbosity": 0.88,
"verbosity-coeff": -0.2139
} | 3.5 | 076e35fb-5608-4136-90b5-76906f2080c6 |
[
{
"content": "Father John forms a choir from the church attendants. 30 people attend John's church, and the choir has 28 spots available, with one person as the lead singer. How many different combinations does John have?\n\n['A)3005', 'B)4412', 'C)6544', 'D)12180', 'E)24366']",
"role": "user",
"uuid": "3e5d1ace-485f-4631-a98b-ee6a6a3c1c87"
},
{
"content": "Pick the lead first - there are 30 choices. Now John has to pick 27 more choir members out of the 29 still available. The order of picking the other members does not matter, since they are not assigned different roles in the choir. Since John can't pick the same person twice, there is no repetition. Use the combinations formula for selecting 27 out of 29, no repetition, not ordered.\nNow, there are 30 choices for the lead vocal - multiply the number of choices for the choir by 30, because you need a lead AND 27 other members: 30Γ29Γ14 choices\nHmmm. This is painful to calculate, but the solution is a number that ends with 0 (why? look at the unit's digit for each of the numbers that are multiplied: 0Γ9Γ4 = something that ends with 0).\n12180 is the only answer that ends with 0. Hallelujah John!",
"role": "assistant",
"uuid": "ba9dd7f0-27ec-46cd-beca-2d2004071605"
}
]
| aqua-rat | {
"coherence": 2.49,
"complexity": 0.96,
"correctness": 1.91,
"helpfulness": 1.99,
"instruction-following": 2.37,
"safety": 5.16,
"verbosity": 1.33,
"verbosity-coeff": -0.1446
} | 3.1 | 84ff4d26-cd0e-464d-a942-b2663a0408b3 |
[
{
"content": "Find large number from below question The difference of two numbers is 1370. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\n\n['A)1641', 'B)1376', 'C)1456', 'D)1555', 'E)1635']",
"role": "user",
"uuid": "2b18489f-2aa4-4cfd-869a-8a0328c3d305"
},
{
"content": "Let the smaller number be x. Then larger number = (x + 1370).\nx + 1370 = 6x + 15\n5x = 1355\nx = 271\nLarge number = 271+1370 = 1641\nA",
"role": "assistant",
"uuid": "40abe9ed-0b72-4a0e-916d-36e0c3809c26"
}
]
| aqua-rat | {
"coherence": 3.04,
"complexity": 1.85,
"correctness": 2.41,
"helpfulness": 2.41,
"instruction-following": 3.29,
"safety": 3.76,
"verbosity": 1.43,
"verbosity-coeff": -0.1176
} | 3.1 | 1875da74-5d60-413e-9a82-7ccdaa7e2049 |
[
{
"content": "Out of 250 students of a college, 160 play football, 90 play cricket and 50 neither play football nor cricket. How many students play both football and cricket?\n\n['A)30', 'B)40', 'C)50', 'D)60', 'E)70']",
"role": "user",
"uuid": "8417580f-a1d1-44e5-a028-6a6dc42d637d"
},
{
"content": "Explanation :\nSolution: n(A) = 160, n(B) = 90, n(A U B) = 250-50 = 200.\nRequired number => n(A ^ B) = n(A) +n(B) - n(A U B) = 160+90-200 = 250-200 = 50.\nAnswer : C",
"role": "assistant",
"uuid": "631c09fc-2d79-467a-992a-b00075fbd2b8"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.78,
"correctness": 2.1,
"helpfulness": 2.25,
"instruction-following": 2.94,
"safety": 6.73,
"verbosity": 1.38,
"verbosity-coeff": -0.1921
} | 3.4 | db99b432-fa13-4705-9ffb-914733a6e5cf |
[
{
"content": "if there are 30 cans out of them one is poisned if a person tastes very little he will die within 14 hours so if there are mice to test and 24 hours to test, how many mices are required to find the poisned can?\n\n['A)3', 'B)2', 'C)6', 'D)1', 'E)7']",
"role": "user",
"uuid": "5999817b-95f0-4638-aa02-9c993dce5d61"
},
{
"content": "as we know only one can is poisoned so try mice every can n notice the time\nfor ex suppose for ist can time was 12:05 then after 5 min test for can 2 means 12:10..n if 1st can contain poision then according to time it can be cleared..\nANSWER:D",
"role": "assistant",
"uuid": "3495d7ec-d52c-446a-91ad-ea47eb15f43a"
}
]
| aqua-rat | {
"coherence": 2.08,
"complexity": 1.18,
"correctness": 1.61,
"helpfulness": 1.44,
"instruction-following": 1.53,
"safety": 5.01,
"verbosity": 1.09,
"verbosity-coeff": -0.1292
} | 2.8 | 9c09cab0-88c9-4319-8b0b-e42748eef56b |
[
{
"content": "If 20 men can build a water fountain 56 metres long in 42 days, what length of a similar water fountain can be built by 35 men in 3 days?\n\n['A)3 m', 'B)4 m', 'C)7 m', 'D)9 m', 'E)10 m']",
"role": "user",
"uuid": "d39b12ea-cf75-43aa-a87e-5f2d6401b63b"
},
{
"content": "Explanation :\nLet the required length be x metres\nMore men, More length built (Direct Proportion)\nLess days, Less length built (Direct Proportion)\nMen 20: 35\nDays 42: 3 : : 56 : x\nTherefore (20 x 42 x x)=(35 x 3 x 56)\nx=(35 x 3 x 56)/840=7\nHence, the required length is 7 m.\nAnswer : C",
"role": "assistant",
"uuid": "233b9bf1-3272-48ad-b20b-c680325afd40"
}
]
| aqua-rat | {
"coherence": 2.86,
"complexity": 1.55,
"correctness": 2.39,
"helpfulness": 2.51,
"instruction-following": 3.93,
"safety": 5.67,
"verbosity": 1.14,
"verbosity-coeff": -0.1139
} | 3.5 | 0813135c-ac8c-436f-b2ce-bb7c7d1bf44c |
[
{
"content": "What is the prime factorsβ number of 12?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)6']",
"role": "user",
"uuid": "0df32e2d-d78c-4efc-b39b-8d96d5d2d901"
},
{
"content": "prime factorsβ number, as I assume, for a number X=a^n*b^m*c^o*d^p... is = n+m+o+p...\nSo, 24 = 2^2*3^1\nprime factorsβ number will be 2+1 = 3.\nHence, answer is B.",
"role": "assistant",
"uuid": "e75daeee-e103-42b0-ba5b-88cce9e89d41"
}
]
| aqua-rat | {
"coherence": 2.76,
"complexity": 1.64,
"correctness": 2.31,
"helpfulness": 2.41,
"instruction-following": 2.39,
"safety": 5.4,
"verbosity": 1.29,
"verbosity-coeff": -0.1148
} | 3.2 | ac3dd4d7-2ac0-49e0-a03b-3ce6bcaba262 |
[
{
"content": "x and y are positive integers of J. If 1/x + 1/y < 2, which of the following must be true?\n\n['A) x + y > 4', 'B) xy>1', 'C) x/y + y/x < 1', 'D) (x - y)^2 > 0', 'E) None of the above']",
"role": "user",
"uuid": "e513c1c6-bd2e-44a2-8ff5-5687738d27e9"
},
{
"content": "Answer is B:\n1/X + 1/Y < 2\nThe maximum value of 1/X is 1 because if X equals any other number greater than one it will be a fraction. The same is true with 1/Y.\nSo 1/X and 1/Y will always be less than 2 as long as both X and Y are not both equal to one at the same time.\nAnother way of putting it is:\nX*Y>1.B",
"role": "assistant",
"uuid": "404c2d38-e3a1-4ca8-88cd-78fec1fe7a9a"
}
]
| aqua-rat | {
"coherence": 2.61,
"complexity": 2.16,
"correctness": 1.89,
"helpfulness": 1.88,
"instruction-following": 1.79,
"safety": 5.55,
"verbosity": 1.37,
"verbosity-coeff": -0.2246
} | 2.9 | 1210731f-74fb-4450-8b16-92c892df8404 |
[
{
"content": "Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?\n\n['A)4', 'B)10', 'C)15', 'D)16', 'E)17']",
"role": "user",
"uuid": "4a703e8c-2d39-4c09-83ce-e51aad6452eb"
},
{
"content": "Explanation:\nL.C.M. of 2, 4, 6, 8, 10, 12 is 120.\nSo, the bells will toll together after every 120 seconds(2 minutes).\nIn 30 minutes, they will toll together\t30/2+ 1 = 16 times.\nANSWER IS D",
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"uuid": "25c041db-79a6-48e1-abdf-5f7f1a2e33f9"
}
]
| aqua-rat | {
"coherence": 2.86,
"complexity": 2.27,
"correctness": 2.7,
"helpfulness": 2.88,
"instruction-following": 3.86,
"safety": 6.02,
"verbosity": 1.79,
"verbosity-coeff": -0.1379
} | 3.5 | 68c61aa7-e793-4c22-a4ad-ff485ab6c897 |
[
{
"content": "Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 4 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?\n\n['A)9', 'B)14', 'C)17', 'D)23', 'E)26']",
"role": "user",
"uuid": "6c742839-6390-46f0-bd9b-4417c2b5152e"
},
{
"content": "My take is Option D (23)\nI followed a simple approach (explained below):\nTest 1: Ada's score = Paul's score + 10\nTest 2: Ada's score = Paul's score + 4\nAvg. of Paul's score = 4 points higher than Avg. of Ada's score\nThis implies that : Sum of Paul's score [3 Tests] = 12 points higher than Sum of Ada's score [3 Tests] (12 points higher since 3 points were given in terms of average of 3 scores)\nSo, Paul needs to score 23 points higher than Ada in Test 3, since Paul needs to compensate for the lower score in test 1 and Test 2 ( 26 = 10 + 4 + 12)\nE",
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"uuid": "78f9f7bb-137f-4353-b477-56b74799e42f"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 1.44,
"correctness": 1.88,
"helpfulness": 1.98,
"instruction-following": 1.52,
"safety": 3.72,
"verbosity": 1.05,
"verbosity-coeff": -0.2103
} | 2.8 | 94ad4559-d341-456a-9be6-1fc1b99f7d2e |
[
{
"content": "When Tom works alone he chops 2 lb. salad in 3 minutes, and when Tammy works alone she chops 3 lb. salad in 2 minutes. They start working together, and after some time finish chopping 65 lb. of salad. Of those 80 lb., the salad quantity chopped by Tom is what percent lesser than the quantifying chopped by Tammy?.\n\n['A)44%', 'B)100%', 'C)105%', 'D)225%', 'E)125%']",
"role": "user",
"uuid": "54f58760-9706-434c-9fe3-e369e304383b"
},
{
"content": "Tom chops 4 lbs in 6 minutes\nTammy chops 9 lbs in 6 minutes\nSo in the same amount of time, Tom chops 125% less than Tammy, since 9 is 125% greater than 4. So 125% is the answer.\nNote that the actual time doesn't matter. If you multiply the time each work by x, you'll multiply the work each does by x, and 9x is still 125% greater than 4x.\nAns:E",
"role": "assistant",
"uuid": "9cea7e97-6c3d-4c32-9f87-1047c66ea122"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.64,
"correctness": 2.35,
"helpfulness": 2.14,
"instruction-following": 2.27,
"safety": 5.91,
"verbosity": 1.42,
"verbosity-coeff": -0.1348
} | 3.2 | 7e5c5b83-6e83-47f5-8329-0141830b6c36 |
[
{
"content": "What percent is 120 of 60?\n\n['A)133 1/3 %', 'B)134 1/3 %', 'C)200 %', 'D)140 1/3 %', 'E)143 1/3 %']",
"role": "user",
"uuid": "dfa0682a-fdc7-479d-9c0f-f3ffc9592535"
},
{
"content": "120/60 = 2/1\n2 Γ 100 = 200 %\nC",
"role": "assistant",
"uuid": "dc049dd6-83d7-4454-a74f-0afa62a1d82d"
}
]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1.47,
"correctness": 2.06,
"helpfulness": 1.7,
"instruction-following": 1.76,
"safety": 3.13,
"verbosity": 0.82,
"verbosity-coeff": -0.1185
} | 2.7 | 1b96ae46-4e06-4d9d-83c3-5d15430557b7 |
[
{
"content": "A certain sum amounts to Rs.1725 in 3 years and Rs.1875 in 5 years. Find the rate % per annum?\n\n['A)6%', 'B)5%', 'C)3%', 'D)9%', 'E)2%']",
"role": "user",
"uuid": "991d3da8-54ea-4f15-a073-57b8df8ae089"
},
{
"content": "3 --- 1725\n5 --- 1875\n--------------\n2 --- 150\nN = 1 I = 75 R = ?\nP = 1725 - 225 = 1500\n75 = (1500*1*R)/100\nR = 5%\nAnswer: B",
"role": "assistant",
"uuid": "6bdd10d9-0a96-4962-8740-6200db0a21c3"
}
]
| aqua-rat | {
"coherence": 2.92,
"complexity": 1.42,
"correctness": 2.49,
"helpfulness": 2.68,
"instruction-following": 3.15,
"safety": 4.93,
"verbosity": 0.55,
"verbosity-coeff": -0.1136
} | 3.5 | 413f8738-1a6e-40c6-aa58-677ebb935832 |
[
{
"content": "At what time between 4 & 5 will the hands of a watch point in opposite directions?\n\n['A)50 min past 4', 'B)42 5/11 min past 4', 'C)43 min past 4', 'D)40 min past 4', 'E)50 4/11 min past 4']",
"role": "user",
"uuid": "a96d6c38-c804-432d-9678-be177afbfe2e"
},
{
"content": "At 4 o'clock, the hands of the watch are 20 min. spaces apart.\nTo be in opposite directions, they must be 30min. spaces apart.\nMinute hand will have to gain 5 min. spaces.\n55min spaces are gained in 60 min.\n5 min. spaces are gained in (60/55 * 50) min. or 54 6/11 min.\nRequired time = 54 6/11 min. past 4.\nAnswer is E",
"role": "assistant",
"uuid": "288c163c-35e9-435f-814b-327d6c0ebbe2"
}
]
| aqua-rat | {
"coherence": 2.43,
"complexity": 1.94,
"correctness": 2.02,
"helpfulness": 1.99,
"instruction-following": 2.57,
"safety": 6.73,
"verbosity": 1.91,
"verbosity-coeff": -0.1548
} | 3.1 | bd969d8c-a333-45fd-972b-e1daf4e0ec5c |
[
{
"content": "A train covers a distance of 18 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?\n\n['A)177', 'B)168', 'C)120', 'D)882', 'E)180']",
"role": "user",
"uuid": "c4be5c07-311f-410d-affc-85e9322cf9e5"
},
{
"content": "Speed = (18/10 * 60) km/hr = (108 * 5/18) m/sec = 30 m/sec.\nLength of the train = 30 * 6 = 180 m.Answer:E",
"role": "assistant",
"uuid": "fe402dfe-616f-4b2a-8b7d-c3e4cbcafd63"
}
]
| aqua-rat | {
"coherence": 2.62,
"complexity": 1.98,
"correctness": 2.51,
"helpfulness": 2.64,
"instruction-following": 3.62,
"safety": 6.02,
"verbosity": 1.44,
"verbosity-coeff": -0.1179
} | 3.4 | a967d665-f674-457e-a6c3-0088af72d24a |
[
{
"content": "In a company, 50 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?\n\n['A)85%', 'B)80%', 'C)75%', 'D)70%', 'E)65%']",
"role": "user",
"uuid": "3520c0b7-7941-4d50-b35a-fc961aa0f5ef"
},
{
"content": "The percent of employees who are unionized and men is 0.7*0.6 = 42%\nThe percent of employees who are unionized and women is 60 - 42 = 18%\n50% of all employees are women, so non-union women are 50%-18% = 32%\n40% of all employees are non-union.\nThe percent of non-union employees who are women is 32%/40% = 80%\nThe answer is B.",
"role": "assistant",
"uuid": "cb753e2e-f2d2-4842-96ba-9043f03e3b25"
}
]
| aqua-rat | {
"coherence": 3.21,
"complexity": 1.59,
"correctness": 2.51,
"helpfulness": 2.45,
"instruction-following": 2.74,
"safety": 5.95,
"verbosity": 1,
"verbosity-coeff": -0.1596
} | 3.5 | b677ace0-715e-40d4-b965-d475070f297e |
[
{
"content": "The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:\n\n['A)15', 'B)16', 'C)18', 'D)25', 'E)20']",
"role": "user",
"uuid": "6de5157a-9b1c-42f8-89fd-c7419c2873d5"
},
{
"content": "Explanation:\nLet C.P. of each article be Re. 1 C.P. of x articles = Rs. x.\nS.P. of x articles = Rs. 20.\nProfit = Rs. (20 - x).\n(20-x / x\tx 100 = 25)\n=2000 - 100x = 25x\n125x = 2000\n=x = 16.\nANSWER IS B",
"role": "assistant",
"uuid": "7b30d658-fa7d-45ae-af2e-ff74502f5244"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 2.31,
"correctness": 2.64,
"helpfulness": 2.88,
"instruction-following": 3.13,
"safety": 5.24,
"verbosity": 1.58,
"verbosity-coeff": -0.1099
} | 3.3 | 4c5a4a8d-c757-460b-bde3-730640cd7d3d |
[
{
"content": "What is the greater of the two numbers whose product is 2496, given that the sum of the two numbers exceeds their difference by 64?\n\n['A)A)96', 'B)B)108', 'C)C)110', 'D)D)78', 'E)of these']",
"role": "user",
"uuid": "0eb6a685-c362-48b2-9718-99e75bc733f4"
},
{
"content": "Let the greater and the smaller number be g and s respectively.\ngs = 2496\ng + s exceeds g - s by 64 i.e., g + s - (g - s) = 64\ni.e., 2s = 64 => s = 32.\ng = 2496/s = 78.\nANSWER:D",
"role": "assistant",
"uuid": "25af8120-837f-4b02-9e5a-58d241b6f2f1"
}
]
| aqua-rat | {
"coherence": 2.55,
"complexity": 1.61,
"correctness": 1.98,
"helpfulness": 2.04,
"instruction-following": 2.47,
"safety": 4.85,
"verbosity": 1.21,
"verbosity-coeff": -0.2304
} | 3 | 8eec6f3a-8a22-49ad-b0a0-50b68097713b |
[
{
"content": "In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 9720 votes were polled, then how many valid votes did B get?\n\n['A)1888', 'B)2999', 'C)3159', 'D)2777', 'E)2991']",
"role": "user",
"uuid": "dc831f40-f8e4-4af9-ab77-c45ff3751a94"
},
{
"content": "Let the total number of votes polled in the election be 100k.\nNumber of valid votes = 100k - 20% (100k) = 80k\nLet the number of votes polled in favour of A and B be a and b respectively.\na - b = 15% (100k) => a = b + 15k\n=> a + b = b + 15k + b\nNow, 2b + 15k = 80k and hence b = 32.5k\nIt is given that 100k = 9720\n32.5k = 32.5k/100k * 9720 = 3159\nThe number of valid votes polled in favour of B is 3159.\nAnswer: C",
"role": "assistant",
"uuid": "7db548f7-7a74-435e-9c20-ad95c468d9a2"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 1.47,
"correctness": 1.75,
"helpfulness": 2.12,
"instruction-following": 3.29,
"safety": 4.93,
"verbosity": 1.59,
"verbosity-coeff": -0.1262
} | 3.1 | 9d1e14b5-5d1e-426e-a276-e4aa6607ce9c |
[
{
"content": "(161)^2 - (162)^2 =\n\n['A)1', 'B)100', 'C)229', 'D)325', 'E)349']",
"role": "user",
"uuid": "d1583858-e9d1-4c43-a9e8-5bc8cac38af8"
},
{
"content": "Using the formula:\n(a+1)^2 - a^2 = 2a+1\nSo, Answer = 162*2 + 1\n= 324+1 = 325 = Answer = D",
"role": "assistant",
"uuid": "28ad0dd7-d156-4301-8fae-11c9fda24266"
}
]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1.63,
"correctness": 2.14,
"helpfulness": 2.08,
"instruction-following": 2.94,
"safety": 4.42,
"verbosity": 1.2,
"verbosity-coeff": -0.1669
} | 3.1 | bcb49882-54ec-4d3e-b2f1-74fbc6e5c6bc |
[
{
"content": "If 2x=y=6z, what is x-z, in terms of y?\n\n['A)y', 'B)2y', 'C)y/2', 'D)y/3', 'E)y/4']",
"role": "user",
"uuid": "cd657206-e335-4350-8310-7506849a9cd3"
},
{
"content": "2x=y=6z\nx = y/2\nand z = y/6\nx-z = y/2 - y/6 = y/3\nAnswer is D",
"role": "assistant",
"uuid": "4b839571-3204-4dc7-8848-8dc6310073d0"
}
]
| aqua-rat | {
"coherence": 2.59,
"complexity": 1.34,
"correctness": 1.82,
"helpfulness": 1.84,
"instruction-following": 2.33,
"safety": 4.46,
"verbosity": 0.56,
"verbosity-coeff": -0.1401
} | 3 | 51dedf4f-0297-4d14-8326-5668015f4bf6 |
[
{
"content": "How many of the positive factors of 56 , 96 and how many common factors are there in numbers?\n\n['A)2', 'B)4', 'C)3', 'D)1', 'E)5']",
"role": "user",
"uuid": "a7262775-8bce-4048-83de-6cfa1708aa4c"
},
{
"content": "factors of 56 - 1, 2, 4, 7, 8, 14, 28 and 56.\nfactors of 96 - 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48 and 96.\nComparing both, we have four common factors of 56 and 96- 1,2,4,8\nAnswer(B)",
"role": "assistant",
"uuid": "c225ab6c-65ad-4613-85b2-6cb0b4a05060"
}
]
| aqua-rat | {
"coherence": 3.19,
"complexity": 1.69,
"correctness": 3.25,
"helpfulness": 3.37,
"instruction-following": 3.6,
"safety": 5.55,
"verbosity": 1.52,
"verbosity-coeff": -0.1048
} | 3.7 | d533ca4a-0ce1-453b-b5ee-fa34ced47576 |
[
{
"content": "A man had a stock of 500 books in his bookshop. He sold 25 on Monday, 50 on Tuesday 30 on Wednesday, 100 on Thursday and 150 on Friday. What percentage of the books were not sold?\n\n['A)8%', 'B)10%', 'C)29%', 'D)44%', 'E)16%']",
"role": "user",
"uuid": "5b261d01-7b81-45df-bfdd-5f8b1059eeb6"
},
{
"content": "Let N be the total number of books sold. Hence\nN = 25 + 50 + 30 + 100 + 150= 355\nLet M be the books NOT sold\nM = 500 - N = 500- 355 = 145\nPercentage\nBooks not sold / total number of books = 145/500 = 0.29= 29%\ncorrect answer C",
"role": "assistant",
"uuid": "0beec1ee-ee43-44eb-8a87-29a28408b4e9"
}
]
| aqua-rat | {
"coherence": 3.09,
"complexity": 1.85,
"correctness": 2.86,
"helpfulness": 2.64,
"instruction-following": 3.6,
"safety": 5.09,
"verbosity": 1.54,
"verbosity-coeff": -0.1126
} | 3.4 | 33d665ad-67c4-4812-ab79-7d5da39129b4 |
[
{
"content": "7, 10, 8, 11, 9, 12, ?\n\n['A)13', 'B)12', 'C)10', 'D)9', 'E)8']",
"role": "user",
"uuid": "df7f9ecf-5bf5-41a4-9280-a8ab4026c810"
},
{
"content": "This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.\nAnswer : C.",
"role": "assistant",
"uuid": "7f592131-fe1e-4284-a32c-ee7bd3d58054"
}
]
| aqua-rat | {
"coherence": 2.49,
"complexity": 1.03,
"correctness": 1.95,
"helpfulness": 2.14,
"instruction-following": 2.06,
"safety": 4.29,
"verbosity": 0.92,
"verbosity-coeff": -0.084
} | 3 | 7f3dc04d-e771-44af-80d7-c0774e7c4611 |
[
{
"content": "A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train?\n\n['A)125 m', 'B)786 m', 'C)566 m', 'D)546 m', 'E)445 m']",
"role": "user",
"uuid": "05aa81a4-b866-45c2-a18f-08f40e4a87e0"
},
{
"content": "Speed = 50 * 5/18 = 125/9 m/sec\nLength of the train = speed * time = 125/9 * 9\n= 125 m\nAnswer: A",
"role": "assistant",
"uuid": "22e42af2-44d2-4e69-b133-9f15cdd4893f"
}
]
| aqua-rat | {
"coherence": 3.19,
"complexity": 1.02,
"correctness": 3,
"helpfulness": 3.11,
"instruction-following": 4.3,
"safety": 4.77,
"verbosity": 0.83,
"verbosity-coeff": -0.1172
} | 3.8 | 56d8d747-c495-4946-a56d-c822e1cc0ba6 |
[
{
"content": "After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.2 cubic inches, what is the original volume of the cubic ice, in cubic inches?\n\n['A)2.5', 'B)3.2', 'C)4.0', 'D)6.5', 'E)8.0']",
"role": "user",
"uuid": "0ef48530-6b2b-4188-8442-74ef7c56ec85"
},
{
"content": "Let initial volume of ice be = x\nIce Remaining after 1 hour = x - 0.75x = 0.25x\nIce Remaining after 2 hour = (1/4)x - (3/4 * 1/4 * x) = (1/16)x\n(1/16)x = 0.2\nx = 3.2\nAlternate solution: Try to backsolve.\nInitial volume = 3.2\nAfter one hour --> (1/4)3.2 = 0.8\nAfter two hours --> (1/4)0.8 = 0.2\nAnswer: B",
"role": "assistant",
"uuid": "fa66433a-d812-417a-afff-b70801d54c4a"
}
]
| aqua-rat | {
"coherence": 3,
"complexity": 1.51,
"correctness": 2.53,
"helpfulness": 2.59,
"instruction-following": 3.37,
"safety": 4.7,
"verbosity": 1.23,
"verbosity-coeff": -0.2007
} | 3.4 | 1867c120-7dc4-47a7-8394-aeba2dbe9f45 |
[
{
"content": "A division of a company consists of six men and six women. If two of these twelve employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?\n\n['A)5/22', 'B)7/22', 'C)5/33', 'D)7/33', 'E)5/66']",
"role": "user",
"uuid": "34673107-31b8-47de-b9e3-79df105ca101"
},
{
"content": "The total number of ways to choose two representatives is 12C2=66.\nThe number of ways to choose two females is 6C2=15.\nP(choosing two female representatives)=15/66=5/22\nThe answer is A.",
"role": "assistant",
"uuid": "679dbff5-573d-423a-8b3e-67840827511e"
}
]
| aqua-rat | {
"coherence": 3.8,
"complexity": 0.97,
"correctness": 3.09,
"helpfulness": 3.21,
"instruction-following": 3.74,
"safety": 5.05,
"verbosity": 1.28,
"verbosity-coeff": -0.2242
} | 3.8 | 0411f6d6-8c98-4f8d-837b-da1e46b4f081 |
[
{
"content": "Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?\n\n['A)10 am', 'B)12 am', 'C)10.30 am', 'D)12.30 am', 'E)11 am']",
"role": "user",
"uuid": "83492578-7c7c-43cd-90d4-99569dab0823"
},
{
"content": "Assume both trains meet after x hours after 7 am\nDistance covered by train starting from P in x hours = 20x km\nDistance covered by train starting from Q in (x-1) hours = 25(x-1)\nTotal distance = 110\n=> 20x + 25(x-1) = 110\n=> 45x = 135\n=> x= 3\nMeans, they meet after 3 hours after 7 am, ie, they meet at 10 am\nAnswer is A.",
"role": "assistant",
"uuid": "32f5899c-97e1-43c0-81de-79c8803138a9"
}
]
| aqua-rat | {
"coherence": 3.25,
"complexity": 1.83,
"correctness": 3.09,
"helpfulness": 3.31,
"instruction-following": 3.95,
"safety": 4.85,
"verbosity": 1.54,
"verbosity-coeff": -0.1212
} | 3.6 | 40d4c805-796f-4987-9731-49e0bd1ea7b4 |
[
{
"content": "A contractor hires 100 men to finish a job in 50 days. After 24 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?\n\n['A)20', 'B)18', 'C)16', 'D)13', 'E)8']",
"role": "user",
"uuid": "27091005-fedf-4acd-924c-70d80e0ddd23"
},
{
"content": "Step1: Find Each day what % of work is finished ; it requires 50 days to complete which means each day 1/50= 2% work will be completed.\nStep 2 : After 24 Days = 24* 2= 48% of work is finished. remaining is 52% ( which means if same 100 men were about to complete the job they would have required 26 more days)\nStep3: Let us assume all people have left job. therefore contractor hires 2n people. initially it was taking 26 days to compete for n people. at present 2n people are present to finish job. hence 13 more days.\nD",
"role": "assistant",
"uuid": "049e84ae-1a65-48da-a7f2-be06f9ee8580"
}
]
| aqua-rat | {
"coherence": 2.47,
"complexity": 0.97,
"correctness": 1.77,
"helpfulness": 1.83,
"instruction-following": 2.21,
"safety": 5.59,
"verbosity": 0.7,
"verbosity-coeff": -0.2073
} | 3.2 | e26d575b-3648-4a91-ac0d-77cb460d08a7 |
[
{
"content": "Machine P and Machine Q are each used to manufacture 440 sprockets. It takes Machine P 10 hours longer to produce 440 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?\n\n['A)2', 'B)4', 'C)6', 'D)8', 'E)10']",
"role": "user",
"uuid": "c58b7f32-b2c0-425d-b13f-bcbea9068e62"
},
{
"content": "P makes x sprockets per hour.\nThen Q makes 1.1x sprockets per hour.\n440/x = 440/1.1x + 10\n1.1(440) = 440 + 11x\n11x = 44\nx = 4\nThe answer is B.",
"role": "assistant",
"uuid": "fabaac54-0b4c-4245-95eb-d96ff8b3a903"
}
]
| aqua-rat | {
"coherence": 3.17,
"complexity": 1.73,
"correctness": 2.51,
"helpfulness": 2.7,
"instruction-following": 2.49,
"safety": 5.05,
"verbosity": 1.18,
"verbosity-coeff": -0.1672
} | 3.3 | 2f854bb3-2a5a-4961-891f-34a7b7b89513 |
[
{
"content": "Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 res. The ratio in which these two mixtures be mixed to get a new mixture containing milk and a water in the ratio 9:4?\n\n['A)2:8', 'B)2:1', 'C)2:2', 'D)2:3`', 'E)2:7']",
"role": "user",
"uuid": "679fd907-caf4-4167-903a-b4d01c3c7819"
},
{
"content": "Step (i) : Let C.P. of milk be Re.1 Given ratio of mixture in A = 8:5 ο Milk in 1 lit mixture in A = 8/13 lit ο C.P of 1 lit mixture in A = Rs. 8/13 Ratio of Mixture in B = 5:2 ο milk in 1 litre mixture in B β 5/7 lit ο C.P of 1 lit mixture in B = Rs. 5/7 Ratio of new mixture = 9:4 ο milk in 1 lit mixture = 9/13 C.P of 1 lit mixture = Rs/ 9/13 (Mean price) Step (ii) : By the rule of allegation, i. C.P of 1 liter of mixture in A =8/13 ii. C.P of 1 liter of mixture in B = 5/7 iii. Mean price (p) = 9/13 iv. d β m = 9/13 β 5-7 = 2/91 v. m β c = 9/13 β 8/13 = 1/13 ο Required ratio = 2/91 : 1/13 = 2:7\nAnswer:E",
"role": "assistant",
"uuid": "414bbd61-337b-42d9-9857-8d5896093df5"
}
]
| aqua-rat | {
"coherence": 2.45,
"complexity": 2.25,
"correctness": 1.98,
"helpfulness": 1.91,
"instruction-following": 3.02,
"safety": 5.12,
"verbosity": 1.63,
"verbosity-coeff": -0.1487
} | 2.9 | 5c5adf2a-28cb-453f-929e-d30d5657b080 |
[
{
"content": "A basketball player succeeds with 80% of her free throws. If she has a set of three free throws, what is the probability that she succeeds at least once?\n\n['A)0.972', 'B)0.978', 'C)0.984', 'D)0.992', 'E)0.998']",
"role": "user",
"uuid": "fbcc069a-a7ec-4d64-ad3f-b049b3319e91"
},
{
"content": "P(missing all 3 free throws) = 0.2^3 = 0.008\nP(succeeding at least once) = 1 - 0.008 = 0.992\nThe answer is D.",
"role": "assistant",
"uuid": "4c79be5c-d01d-49ba-b872-3ac730fc361b"
}
]
| aqua-rat | {
"coherence": 2.9,
"complexity": 1.26,
"correctness": 2.21,
"helpfulness": 2.33,
"instruction-following": 2.8,
"safety": 4.73,
"verbosity": 1.14,
"verbosity-coeff": -0.2334
} | 3.2 | 99356878-c535-4ac7-9696-16d6eec5c75a |
[
{
"content": "A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score\ndid he make by running between the wickets\n\n['A)40%', 'B)50%', 'C)60%', 'D)70%', 'E)None of these']",
"role": "user",
"uuid": "937365b2-72fb-4a57-b737-5dc4ad68e4dd"
},
{
"content": "Explanation:\nNumber of runs made by running = 110 - (3 x 4 + 8 x 6)\n= 120 - (60)\n= 60\nNow, we need to calculate 60 is what percent of 120.\n=> 60/120 * 100 = 50 %\nAnswer: Option B",
"role": "assistant",
"uuid": "dd7a308c-22e9-4632-b7e7-58b4ccda805f"
}
]
| aqua-rat | {
"coherence": 3.02,
"complexity": 1.47,
"correctness": 2.74,
"helpfulness": 2.94,
"instruction-following": 3.21,
"safety": 5.36,
"verbosity": 1.42,
"verbosity-coeff": -0.1191
} | 3.5 | 610376ae-2c61-4f85-ba54-8bef77bce0ed |
[
{
"content": "A certain airline's fleet consisted of 90 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of the fleet?\n\n['A)11', 'B)12', 'C)13', 'D)14', 'E)15']",
"role": "user",
"uuid": "07a8da9f-77d7-4cbf-b131-83b3330021a2"
},
{
"content": "Let x be the number of years.\n4x > 90 - 3x\n7x > 90\nx > 12 + 6/7\nThe answer is C.",
"role": "assistant",
"uuid": "f27edf78-4761-49cc-be9d-09ffc6d41dac"
}
]
| aqua-rat | {
"coherence": 2.53,
"complexity": 1.38,
"correctness": 1.66,
"helpfulness": 1.88,
"instruction-following": 2.2,
"safety": 5.55,
"verbosity": 0.79,
"verbosity-coeff": -0.1737
} | 3.1 | 1726e9d0-718a-4b8d-b4df-a57d2a54de95 |
[
{
"content": "A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 40 km / hr. In the return trip, he covers the same distance at an average speed of 20 km / hr. The average speed of the car over the entire distance of 400 km / hr.\n\n['A)22 km/hr', 'B)28.56 km/hr', 'C)26.67 km/hr', 'D)30 km/hr', 'E)None']",
"role": "user",
"uuid": "803e69eb-3172-4191-89cc-da5b25f3e9ce"
},
{
"content": "Sol.\nAverage speed = (2Γ40Γ20 / 40 + 60) km/hr\n= (80/3)km/hr\n= 26.67 km/hr.\nAnswer C",
"role": "assistant",
"uuid": "332e8727-0bc0-4582-b961-ba29b777c955"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.3,
"correctness": 2.1,
"helpfulness": 2,
"instruction-following": 3.33,
"safety": 4.44,
"verbosity": 0.97,
"verbosity-coeff": -0.1203
} | 3.2 | a574381b-0415-44bb-9dcd-704e3b8e774a |
[
{
"content": "Nicole cycles at a constant rate of 15 kilometers per hour, and is passed by Jessica, who cycles at a constant rate of 30 kilometers per hour. If Jessica cycles at her constant rate for x minutes after passing Nicole, then stops to wait for her, how many minutes will Jessica have to wait for Nicole to catch up to her?\n\n['A)x/3', 'B)x/2', 'C)x', 'D)3x/2', 'E)2x']",
"role": "user",
"uuid": "6cc8e5b6-91d2-4525-93f2-d658c5a1e8c3"
},
{
"content": "In x minutes, Jessica travels (x/60)*30 = x/2 miles\nThe time it takes Nicole to travel x/2 miles is (x/2) / 15 = x/30 hours = 2x minutes\nJessica needs to wait 2x - x = x minutes.\nThe answer is C.",
"role": "assistant",
"uuid": "76ac9ff7-8ce1-4111-9ff3-cca78e4a1ce0"
}
]
| aqua-rat | {
"coherence": 2.7,
"complexity": 1.59,
"correctness": 2.16,
"helpfulness": 2.39,
"instruction-following": 2.41,
"safety": 5.16,
"verbosity": 0.96,
"verbosity-coeff": -0.2029
} | 3.2 | d9f0739d-6cc8-47cc-b609-a6290b2006a8 |
[
{
"content": "On the xy co-ordinate plane, point C is (4,-2) and point D is (-1,2.5). The point on line segment CD that is twice as far from C as from D is:\n\n['A)(1,-1)', 'B)(1,1)', 'C)(2,0.25)', 'D)(3,0.5)', 'E)(3,1)']",
"role": "user",
"uuid": "b92af638-74fc-4ab1-ae11-076ec0f5ccdd"
},
{
"content": "We want the point on the line that is twice as far from C as it is from D. We can examine the x and y coordinates separately since they are independent.\n*It should be noted that there are two solutions to this problem, one point between C and D, and another point with D in the middle of C and the point. We can quickly look at the answer choices and see that all the points are between C and D, therefore we can search for that point using the following method:\nTaking the x-coordinate first, the distance between C and D is |(x-coordinate of C) - (x-coordinate of D)|= |5 - (-1)| = 6\nThe x-coordinate that is twice as far from C as it is from D (and in between C and D) will be 4 units from C and 2 units from D. So the x coordinate of the point we're looking for is 5-4 = 1, or (-1)+2 = 1.\nNow looking at the y-coordinate, we do the same thing. The distance between C and D is |(-2) - 2.5| = 4.5\nThe y-coordinate that is twice as far from C as it is from D (and in between C and D) will be 3 units from C and 1.5 units from D. So the y coordinate of the point we're looking for is (-2)+3 = 1, or 2.5-1.5 = 1.\nSo now we have our coordinates of the point on the line that is twice as far from C as it is from D: (3,1)\nAnswer: E",
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"uuid": "b8c33033-3b67-4f0d-8f42-9e83d2662485"
}
]
| aqua-rat | {
"coherence": 2.82,
"complexity": 2.16,
"correctness": 2.55,
"helpfulness": 2.37,
"instruction-following": 2.84,
"safety": 3.7,
"verbosity": 1.83,
"verbosity-coeff": -0.1484
} | 2.9 | 0a1b428c-38d7-4df0-b994-cef9875348ab |
[
{
"content": "If e is an even integer and e/18 is an odd integer, which of the following is NOT an even integer?\n\n['A)(e^2)/54', 'B)(e^2)/12', 'C)(e^2)/9', 'D)(e^2)/6', 'E)(e^2)/2']",
"role": "user",
"uuid": "9faf31de-8cd1-4b10-8e36-d4c5c19a831d"
},
{
"content": "since e is an even integer and e/18 is an odd integer. thus maximum power of 2 in a is one. why ?? because if the power of 2 in the expression has been 2 or greater, then the e/18 must have been an even integer. (18=2*3^2. as 18 contain only one 2 in the expression)\nnow, any expression in which we have 4 at the denominator will be odd. out of the given options only 12 is a multiple of 4. hence answer should be B",
"role": "assistant",
"uuid": "6e9892ee-0626-4975-90f6-7be5097e747c"
}
]
| aqua-rat | {
"coherence": 2.51,
"complexity": 2.06,
"correctness": 1.73,
"helpfulness": 1.7,
"instruction-following": 2.14,
"safety": 5.36,
"verbosity": 1.58,
"verbosity-coeff": -0.1565
} | 2.8 | 928ae22a-887d-4e63-af5d-05fa8a65fee9 |
[
{
"content": "While flying over the Pacific, an airplane makes a 25Β° turn to the right to avoid a storm. If, as a result, the airplane is traveling in a direction 15Β° east of north, in what direction was it originally flying?\n\n['A)(a) 30Β° west of north', 'B)(b) 30Β° east of north', 'C)(c) 10Β° west of north', 'D)(d) 10Β° east of north', 'E)(e) 5Β° west of north']",
"role": "user",
"uuid": "f8e747c3-3f72-41c9-9911-2b2448682a3a"
},
{
"content": "If after a turn of 25Β° you are 15Β°NEast, with a 10Β° turn you would be perfectly pointing at north. So you were, before the turn, 10Β° to the other side (West).\nAnswer C)",
"role": "assistant",
"uuid": "9820a974-e877-43d9-ba50-be002e9c9eed"
}
]
| aqua-rat | {
"coherence": 3.04,
"complexity": 1.38,
"correctness": 2.29,
"helpfulness": 2.16,
"instruction-following": 2.06,
"safety": 4.7,
"verbosity": 0.67,
"verbosity-coeff": -0.1864
} | 3.2 | f02fc516-228a-45df-a553-2aeaf8be3676 |
[
{
"content": "Given that there are 11 cricket players per team, how many ways can you select 3 cricket players from 4 teams if no more than one player can be selected from each team?\n\n['A)500', 'B)484', 'C)396', 'D)656', 'E)336']",
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},
{
"content": "First select 3 group out of available 4 groups. This cane be done in 4C3 ways = 4 ways\nNow from each group we have to select one person only: 11C1 * 11C1= 11 * 11 = 121\nTotal ways: 121 * 4 = 484 ways.\nAnswer is B",
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| aqua-rat | {
"coherence": 3.07,
"complexity": 1.45,
"correctness": 2.62,
"helpfulness": 2.7,
"instruction-following": 3.19,
"safety": 5.2,
"verbosity": 1.41,
"verbosity-coeff": -0.1952
} | 3.4 | 7c5e5611-6504-49ff-a384-77dca748f367 |
[
{
"content": "January 1, 2008 is Tuesday. What day of the week lies on Jan. 1, 2009 ?\n\n['A)Sunday', 'B)Monday', 'C)Wednesday', 'D)Thursday', 'E)Friday']",
"role": "user",
"uuid": "a2a3e868-0f88-4dbb-b470-09a8d33202bd"
},
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"content": "The year 2008 is a leap year. So, it has 2 odd days.\n1st day of the year 2008 is Tuesday (Given)\nSo, 1st day of the year 2009 is 2 days beyond Tuesday.\nHence, it will be Thursday.\nanswer :D",
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]
| aqua-rat | {
"coherence": 2.98,
"complexity": 1.57,
"correctness": 2.21,
"helpfulness": 2.39,
"instruction-following": 2.74,
"safety": 5.4,
"verbosity": 1.49,
"verbosity-coeff": -0.1596
} | 3.2 | fceb46a9-8857-48dc-9c73-8c95f41be760 |
[
{
"content": "Without stoppages, a train travels certain distance with an average speed of 80 km/h, and with stoppages, it covers the same distance with an average speed of 60 km/h. How many minutes per hour the train stops ?\n\n['A)15', 'B)18', 'C)10', 'D)16', 'E)None of these']",
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},
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"content": "Due to stoppages, it covers 20 km less .\nTime taken to cover 20 km = 20β80h = 1β4h\n= 1β4 Γ 60 min = 15 min\nAnswer A",
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]
| aqua-rat | {
"coherence": 2.82,
"complexity": 1.41,
"correctness": 2.84,
"helpfulness": 3.04,
"instruction-following": 3.76,
"safety": 5.63,
"verbosity": 1.14,
"verbosity-coeff": -0.134
} | 3.6 | 5c7611e0-29a4-4684-b4e8-68806ed31aa5 |
[
{
"content": "If two positive numbers are in the ratio 1/8 : 1/5, then by what percent is the second number more than the first?\n\n['A)40%', 'B)33 1/3%', 'C)60%', 'D)66 2/3%', 'E)None of these']",
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"uuid": "42b7b041-0362-477a-bde5-5b9df4650ba3"
},
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"content": "Given ratio = 1/8 : 1/5 = 5 : 8\nLet first number be 5x and the second number be 8x.\nThe second number is more than first number by 3x.\nRequired percentage = 3x/5x * 100 = 60%.\nANSWER:C",
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| aqua-rat | {
"coherence": 3.07,
"complexity": 2.23,
"correctness": 2.78,
"helpfulness": 2.72,
"instruction-following": 3.54,
"safety": 6.26,
"verbosity": 1.56,
"verbosity-coeff": -0.1356
} | 3.5 | 4d287bd6-4b45-47ca-8c12-54f5ace681fd |
[
{
"content": "An article is bought for Rs.600 and sold for Rs.400, find the loss percent?\n\n['A)33 1/4%', 'B)33 4/3%', 'C)33 2/3%', 'D)33 1/3%', 'E)33 8/3%']",
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},
{
"content": "600 ---- 200\n100 ---- ? => 33 1/3%\nAnswer: D",
"role": "assistant",
"uuid": "44aeb8cc-16ab-4096-86fc-7c24b7abe5e2"
}
]
| aqua-rat | {
"coherence": 2.9,
"complexity": 1.46,
"correctness": 2.9,
"helpfulness": 2.8,
"instruction-following": 3.97,
"safety": 6.14,
"verbosity": 0.92,
"verbosity-coeff": -0.1019
} | 3.8 | 40bcd5d5-b0c7-44d3-b05f-f2fe18452d7d |
[
{
"content": "Rs.8000 become Rs.8988.80 in a certain interval of time at the rate of 6% per annum of C.I. Find the time?\n\n['A)6 years', 'B)8 years', 'C)9 years', 'D)3 years', 'E)2 years']",
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"uuid": "3de3c446-90fa-4bcf-997d-c8f8ada81066"
},
{
"content": "8988.80 = 8000(53/50)N\n(53/50)^2 = (53/50)^N\nN = 2\nAt the end of two years what will be the comp.Answer: E",
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"uuid": "72555880-5930-4690-b35d-a0d5eb9374a2"
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| aqua-rat | {
"coherence": 2.18,
"complexity": 1.35,
"correctness": 1.71,
"helpfulness": 1.64,
"instruction-following": 2.8,
"safety": 5.87,
"verbosity": 0.65,
"verbosity-coeff": -0.1131
} | 3.2 | 9fadd297-ad09-4737-af2e-bbc86b5c6c38 |
[
{
"content": "Sandy walked 20 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 20 meters. She then turned to her right and walked 10 meters. What distance is she from the starting point and in which direction?\n\n['A)35 m East', 'B)35 m North', 'C)30 m West', 'D)45 m West', 'E)30 m East']",
"role": "user",
"uuid": "84778a11-23ca-462b-88e7-a8ecdc0be7f5"
},
{
"content": "The net distance is 20 + 10 = 30 meters to the east.\nThe answer is E.",
"role": "assistant",
"uuid": "f74810c8-fd59-4df9-8893-1c96d75c926e"
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| aqua-rat | {
"coherence": 3.02,
"complexity": 1.37,
"correctness": 2.14,
"helpfulness": 2.12,
"instruction-following": 2.41,
"safety": 5.75,
"verbosity": 0.78,
"verbosity-coeff": -0.1221
} | 3.3 | 0b377305-9dab-4079-ad3b-2f940f936797 |
[
{
"content": "Jim covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\n\n['A)15 Kmph', 'B)18 Kmph', 'C)19 Kmph', 'D)20 Kmph', 'E)21 Kmph']",
"role": "user",
"uuid": "51ab1dc7-6dd4-4f93-b98b-bb20b69dd02d"
},
{
"content": "Total distance = 8 Km\nTotal time = 50 Km\nTime taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours\nRemaining distance = 8 - 3 = 5 Km\nRequired speed = 5/1/3 = 15 Kmph\nA)",
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]
| aqua-rat | {
"coherence": 2.7,
"complexity": 1.28,
"correctness": 1.78,
"helpfulness": 1.85,
"instruction-following": 2.55,
"safety": 5.52,
"verbosity": 0.37,
"verbosity-coeff": -0.1082
} | 3.2 | 5f72805f-3305-4ce8-b763-d06102fab475 |
[
{
"content": "Three unbased coins are tossed. the probability of getting at most three T is ?\n\n['A)1/2', 'B)7/8', 'C)3/4', 'D)1/8', 'E)2/3']",
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"uuid": "e2fa19c0-d98d-4d6f-b866-7936fa1a655e"
},
{
"content": "S={TTT,TTH,THT,HTT,THH,HTH,HHT,HHH}\nE be the event of getting at least two head is {TTT}\nP(E)=n(E)/n(S)=1/8\nAnswer(D)",
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}
]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1.7,
"correctness": 2.25,
"helpfulness": 2.2,
"instruction-following": 2.96,
"safety": 5.16,
"verbosity": 0.77,
"verbosity-coeff": -0.1022
} | 3.3 | 0544c4d6-d9e9-4baf-a73f-3a684ba36625 |
[
{
"content": "For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?\n\n['A)1 : 4', 'B)3 : 4', 'C)2 : 7', 'D)3 : 7', 'E)1 : 3']",
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},
{
"content": "Let the speed of the train be x km/hr and that of the car be y km/hr.\nThen, 120 + 480 = 8 1 + 4 = 1 ....(i)\nx y x y 15\nAnd, 200 + 400 = 25 1 + 2 = 1 ....(ii)\nx y 3 x y 24\nSolving (i) and (ii), we get: x = 60 and y = 80.\nRatio of speeds = 60 : 80 = 3 : 4.\nB",
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"uuid": "018f078f-5857-4cb1-9282-75e0a2c943dd"
}
]
| aqua-rat | {
"coherence": 2.94,
"complexity": 1.58,
"correctness": 1.99,
"helpfulness": 2.04,
"instruction-following": 2.51,
"safety": 4.85,
"verbosity": 1.23,
"verbosity-coeff": -0.1227
} | 3.1 | 4fd88cf0-036e-46ec-b200-e125353badf2 |
[
{
"content": "(2^x) (30^3) = (2^3) (3^3) (4^3) (5^3)\nIn the above equation, what is the value of x?\n\n['A)10', 'B)5', 'C)8', 'D)7', 'E)6']",
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"uuid": "1892edd1-6e89-4d3a-93ec-3329678356e7"
},
{
"content": "E\n6\nExplanation:\n(2^x)(30^3) = (2^3) (3^3) (4^3) (5^3)\n(2^x)(30^3) = (120^3)\n(2^x) = (120^3)/ (30^3)\n(2^x) = (4^3)\n(2^x) = 64\nln(2^x) = ln(64)\nx ln(2) = ln(64)\nx = ln(64)/ln(2)\nx = 6\nThus x = 6.",
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"uuid": "0a0b6ac1-e115-4925-ac79-f1f99edc4d8d"
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]
| aqua-rat | {
"coherence": 2.96,
"complexity": 2.29,
"correctness": 2.39,
"helpfulness": 2.43,
"instruction-following": 2.76,
"safety": 4.32,
"verbosity": 1.31,
"verbosity-coeff": -0.1174
} | 3 | 51e545cc-db44-4b93-8120-3f3c1242fcee |
[
{
"content": "A father said to his son, \"I was as old as you are at present at the time of your birth.\" If the father's age is 38 years now, the son's age five years back was:\n\n['A)11 years', 'B)14 years', 'C)77 years', 'D)88 years', 'E)99 years']",
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"uuid": "f64bb099-4094-4123-85bb-9d0e1961aefb"
},
{
"content": "Let the son's present age be x years.\nThen, (38 - x) = x\n2x = 38 => x = 19\nSon's age 5 years back = (19 - 5) = 14 years.\nAnswer:B",
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]
| aqua-rat | {
"coherence": 3.5,
"complexity": 0.58,
"correctness": 3.39,
"helpfulness": 3.64,
"instruction-following": 4.25,
"safety": 4.3,
"verbosity": 0.8,
"verbosity-coeff": -0.1041
} | 4 | 162605e6-1024-40bf-86dc-41b30c3fc465 |
[
{
"content": "In how many different ways can 10 people be seated in a room with 12 chairs?\n\n['A)40,320', 'B)181,440', 'C)403,200', 'D)1,814,400', 'E)239,500,800']",
"role": "user",
"uuid": "885fdf31-c7ea-43cb-8b1b-5c1a91fa8a12"
},
{
"content": "Order doesn't matter\nWith 12 chairs and only 10 to seat\n10!- Number of ways the 10 can seat on the chair\n12C2 - Number of ways the 2 empty sits can be vary with the 10 seated\n10! * 12C2 = 239,500,800 Answer - E",
"role": "assistant",
"uuid": "2894247b-41ca-43ab-9d88-0c128c43f5c9"
}
]
| aqua-rat | {
"coherence": 2.78,
"complexity": 1.41,
"correctness": 2.08,
"helpfulness": 2.08,
"instruction-following": 2.59,
"safety": 4.29,
"verbosity": 1.1,
"verbosity-coeff": -0.2057
} | 3 | d26b624d-afdc-49ca-89f5-614badd5492b |
[
{
"content": "If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 3 strokes ?\n\n['A)15/16', 'B)7/8', 'C)1/4', 'D)1/8', 'E)1/16']",
"role": "user",
"uuid": "f405c9fb-3b9e-4d93-9094-a60ecc9e4676"
},
{
"content": "Left After 1st stroke = 1/2\nLeft After 2nd stroke = 1/2 * 1/2 = 1/4\nLeft After 3rd stroke = 1/2 * 1/4 = 1/8\nSo removed = 1- 1/8 = 7/8=B",
"role": "assistant",
"uuid": "bd309b48-3fc8-4665-9e33-5dcec18b05f8"
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]
| aqua-rat | {
"coherence": 3,
"complexity": 2.08,
"correctness": 2.45,
"helpfulness": 2.49,
"instruction-following": 3.13,
"safety": 5.67,
"verbosity": 0.82,
"verbosity-coeff": -0.1861
} | 3.4 | c3c5b047-2ce6-480b-b493-64e536a4cfbc |
[
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"content": "10 people went to a hotel for combine dinner party 8 of them spent Rs. 10 each on their dinner and rest spent 4 more than the average expenditure of all the 10. What was the total money spent by them.\n\n['A)1628.4', 'B)110', 'C)1492', 'D)1496', 'E)None of these']",
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},
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"content": "Solution: Let average expenditure of 10 people be x.\nthen,\n10x = 8*10+2*(x+4);\nOr, 10x = 10*10+2x+8;\nOr, x = 11;\nSo, total money spent = 11*10 = Rs. 110.\nAnswer: Option B",
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| aqua-rat | {
"coherence": 2.88,
"complexity": 1.28,
"correctness": 2.14,
"helpfulness": 2.59,
"instruction-following": 2.88,
"safety": 5.75,
"verbosity": 0.68,
"verbosity-coeff": -0.1246
} | 3.5 | bf58f3d4-49f3-4089-afee-b46c5103aeb4 |
[
{
"content": "How many positive integers will divide evenly into 370?\n\n['A)4', 'B)6', 'C)8', 'D)12', 'E)16']",
"role": "user",
"uuid": "a00a2d52-afa2-40fe-a98e-60cfbbda6139"
},
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"content": "The question is asking how many factors 370 has.\n370 = 2*5*37\nThe number of factors is 2^3 = 8\nThe answer is C.",
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"uuid": "9f806867-20cc-436a-b908-659c6648a8ad"
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]
| aqua-rat | {
"coherence": 2.96,
"complexity": 1.88,
"correctness": 2.59,
"helpfulness": 2.57,
"instruction-following": 2.94,
"safety": 5.4,
"verbosity": 1.09,
"verbosity-coeff": -0.2136
} | 3.4 | 6160ca19-e30b-4e8c-a96e-7493410851ba |
[
{
"content": "If (1/2)^18 (1/81)^k = 1/18^18, then k =\n\n['A)9', 'B)12', 'C)16', 'D)24', 'E)36']",
"role": "user",
"uuid": "a0210d84-780e-48e4-b5ec-a23cf5017a6e"
},
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"content": "I'm going to focus on denominator only..\n(2^18) . ((3^4)^k = 18^18\n(2^18) . ((3^4k) = (2. 3^2)^18\n(2^18) . ((3^4k) = (2^24) . (3^2)^18\nhence\n4k = 36\nk = 9\nanswer A\nI hope it's quite clear",
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| aqua-rat | {
"coherence": 2.39,
"complexity": 2.1,
"correctness": 1.71,
"helpfulness": 1.53,
"instruction-following": 1.49,
"safety": 3.99,
"verbosity": 1.2,
"verbosity-coeff": -0.1511
} | 2.5 | 820d1192-2efb-43e9-b691-38638b6f53b2 |
[
{
"content": "Lovely shop runs a sale on goldfish and platys. If one customer buys 13 goldfish and 12 platys for $5.60, and another buys 14 goldfish and 21 platys for $8.05, what is the ratio of the price of goldfish to platys?\n\n['A)0.8', 'B)0.75', 'C)c) 8/9', 'D)5/7', 'E)6/8']",
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"content": "The approach of plugging in the numbers is a fine approach. But, in this case, the answer was the first option and thus, by plugging in a number in the ration given, we arrived at the answer quickly!\nHowever, what if the correct ratio was option D or C?\nIn any case, the algebraic solution isn't that complex if you realize a key concept:\nThe number 7 can be factored out of the second equation!\nHere's the working:Lovely shop runs a sale on goldfish and platys.\n13x + 12y = 5.60 <<<<< Equation 1\n14x + 21y = 8.05 <<<<< Equation 2\n2x + 3y = 1.15 [Factor Out 7 from equation 2] <<<<< Equation 3\n8x + 12y = 4.6 [Multiply Equation 3 with 4]\n5x = 1.0 [Equation 1 - Equation 2]\nx = 0.2\n3y = 1.15 - 0.4 = 0.75 [Substitute for x in Equation 1]\ny = 0.25\nx/y = 0.2/0.25 = 20/25 = 4/5 = 0.8 [Answer A]\nThe whole thing must have taken me about 45 s :D",
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| aqua-rat | {
"coherence": 2.39,
"complexity": 1.64,
"correctness": 1.72,
"helpfulness": 1.72,
"instruction-following": 1.8,
"safety": 4.29,
"verbosity": 1.42,
"verbosity-coeff": -0.1279
} | 2.7 | aa27fbd6-1814-4da9-9e83-8c0bdfc24924 |
[
{
"content": "A box contains three pairs of blue gloves and two pairs of green gloves. Each pair consists of a left-hand glove and a right-hand glove. Each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. If three gloves are randomly selected from the box, what is the probability that a matched set (i.e., a left- and right-hand glove of the same color) will be among the three gloves selected?\n\n['A)3/10', 'B)23/60', 'C)7/12', 'D)41/60', 'E)5/6']",
"role": "user",
"uuid": "f4172b70-1187-46df-b445-b26dd4b5b39d"
},
{
"content": "You can use the 'calculating the reverse' method used by Bunuel above or if you would like to calculate the probability of getting a matched set in the usual way, you can think of it in this way:\nBleft (3), Bright(3), Gleft (2), Gright(2)\nBleft, Bright, G\nGet a Bleft and Bright in (3/10)*(3/9) ways. Then get any green in 4/8 ways.\nProbability of getting B pair and a G = (3/10)*(3/9)*(4/8)*3!\n(You multiply by 3! here because you could pick in some other order e.g. Bright, Bleft, G or Bleft, G, Bright etc)\nBleft, Bright, B\nGet a Bleft and Bright in (3/10)*(3/9) ways. Then get any blue in 4/8 ways.\nProbability of getting B pair and another B = (3/10)*(3/9)*(4/8)*3!/2!\n(You multiply by 3! here to account for the order e.g. Bright, Bleft, Bleft or Bleft, Bright, Bright etc but two gloves will be identical so you divide by 2!)\nGleft, Gright, B\nGet a Gleft and Gright in (2/10)*(2/9) ways. Then get any Blue in 6/8 ways.\nProbability of getting G pair and a B = (2/10)*(2/9)*(6/8)*3!\nGleft, Gright, G\nGet a Gleft and Gright in (2/10)*(2/9) ways. Then get any other G in 2/8 ways.\nProbability of getting G pair and a G = (2/10)*(2/9)*(2/8)*3!/2!\nAdding them all up, you get 41/60.\nANSWER:D",
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| aqua-rat | {
"coherence": 2.92,
"complexity": 2.04,
"correctness": 2.33,
"helpfulness": 2.45,
"instruction-following": 3.37,
"safety": 5.75,
"verbosity": 1.87,
"verbosity-coeff": -0.2097
} | 3.3 | 6762d845-94eb-42a4-8e3d-8710ce0c3a8e |
[
{
"content": "5 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?\n\n['A)4', 'B)6', 'C)16', 'D)24', 'E)256']",
"role": "user",
"uuid": "dcb51629-ddb6-4bff-9ea8-ea58d8e53272"
},
{
"content": "it is like a circular arrangement.\ntotal ways for n people to arrange in a circle is = factorial (n-1)\nin this case n= 5\nhence ans = 4 factorial = 24\nhence D",
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"uuid": "334f6321-f386-4e20-a62c-29064142ac6a"
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"coherence": 2.61,
"complexity": 1.48,
"correctness": 2.37,
"helpfulness": 2.41,
"instruction-following": 2.64,
"safety": 5.2,
"verbosity": 1.46,
"verbosity-coeff": -0.2208
} | 3.2 | 4f12d951-da46-4a12-9028-f7acce969df4 |
[
{
"content": "Simran started a software business by investing Rs. 50,000. After six months, Nanda joined^her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?\n\n['A)Rs. 9423', 'B)Rs. 10,250', 'C)Rs. 12,500', 'D)None of these', 'E)Data inadequate']",
"role": "user",
"uuid": "fc9cdad3-e4e1-47e4-93c7-3d4ec5ec8a66"
},
{
"content": "Explanation:\nSimran : Nanda = (50000 * 36) : (80000 * 30) = 3 : 4.\nΓ’ΛΒ΄\nSimran's share = Rs.\n(24500Γ’Λβ3/7)\n= Rs. 10500.\nANSWER IS D",
"role": "assistant",
"uuid": "a4c8223f-8fd2-4d2a-84b4-71d5f22a7d04"
}
]
| aqua-rat | {
"coherence": 2.21,
"complexity": 2.1,
"correctness": 1.84,
"helpfulness": 2.21,
"instruction-following": 2.53,
"safety": 6.06,
"verbosity": 1.57,
"verbosity-coeff": -0.1203
} | 3 | 0ec5ef2e-0052-4a20-8d94-d764846018a1 |
[
{
"content": "Set A is {1, 3, 5, 7, 9}\nSet B is {14, 16, 18, 20, 22}\nFor the sets of numbers above, which of the following is true?\nI. The mean of Set B is greater than the mean of Set A.\nII. The median of Set B is greater than the median of Set A.\nIII. The standard deviation of Set B is greater than the standard deviation of Set A.\n\n['A)I only', 'B)I and II only', 'C)I and III only', 'D)II and III only', 'E)I, II, and III']",
"role": "user",
"uuid": "ecddbaba-166f-4a30-9b20-5e29f89fe955"
},
{
"content": "The mean and median of Set A is 5.\nThe mean and median of Set B is 18.\nThus statements I and II are both true.\nThe standard deviation is related to the distance from the mean.\nSince the elements of both sets are spaced identically around the mean (+/- 2, +/- 4), the standard deviations of both sets are equal.\nThe answer is B.",
"role": "assistant",
"uuid": "03c217c1-2e21-4f3a-9f7d-011dc2565129"
}
]
| aqua-rat | {
"coherence": 2.74,
"complexity": 1.76,
"correctness": 2.08,
"helpfulness": 2.04,
"instruction-following": 2.43,
"safety": 5.28,
"verbosity": 1.45,
"verbosity-coeff": -0.1558
} | 3.1 | da2ad406-590e-46f6-9c51-5f5f8ba87f02 |
[
{
"content": "Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?\n\n['A)8 min', 'B)5 min', 'C)10 min', 'D)14 min', 'E)18 min']",
"role": "user",
"uuid": "839edad5-77b3-42d3-a9e0-c4a9d4319da7"
},
{
"content": "Due to stoppages, it covers 9 km less.\nTime taken to cover 9 km = (9/54 x 60) min = 10 min\nAnswer : C",
"role": "assistant",
"uuid": "10a544d5-599a-4640-bcd9-83863baca1d5"
}
]
| aqua-rat | {
"coherence": 2.68,
"complexity": 1.17,
"correctness": 2.57,
"helpfulness": 2.61,
"instruction-following": 3.89,
"safety": 6.38,
"verbosity": 1.14,
"verbosity-coeff": -0.1392
} | 3.7 | c9924a77-b214-4324-99ad-32ee7f2aface |
[
{
"content": "If P(x) = ax^4+bx^3+cx^2+dx+e has roots at x = 1, 2, 3, 4 and P(0) = 48, what is P(5)?\n\n['A)48', 'B)24', 'C)0', 'D)50', 'E)40']",
"role": "user",
"uuid": "dc83a68f-c7b4-49e5-bb1f-1b92ea92e9e4"
},
{
"content": "Roots are 1,2,3,4\nSo we can write this\nequation As p(x)=\na(x-1)(x-2)(x-3)(x-4).....eq1\nPut x=0here we p(0)=48=24a\nTheN a=2\nNow put a in eq1\nAnd get the answer...\nP(5)=a.4.3.2.1=48\nANSWER:A",
"role": "assistant",
"uuid": "ede02162-e870-4431-ab2b-c3790f7f79ed"
}
]
| aqua-rat | {
"coherence": 2.68,
"complexity": 2.2,
"correctness": 2.39,
"helpfulness": 2.25,
"instruction-following": 2.49,
"safety": 5.12,
"verbosity": 1.54,
"verbosity-coeff": -0.1446
} | 3 | 610882ab-9d64-4a79-aa01-8960b0962f4b |
[
{
"content": "80% of the population of a village is 32000. The total population of the village is?\n\n['A)40000', 'B)24000', 'C)26682', 'D)29973', 'E)12312']",
"role": "user",
"uuid": "88c041de-b6b2-4e6c-b2d2-b1f3bd3b3992"
},
{
"content": "X * (80/100) = 32000\nX = 400 * 100\nX = 40000\nAnswer: A",
"role": "assistant",
"uuid": "9398bbaf-ad7e-49b9-b5a2-4800a562535a"
}
]
| aqua-rat | {
"coherence": 3.29,
"complexity": 1.55,
"correctness": 3.04,
"helpfulness": 3.27,
"instruction-following": 3.62,
"safety": 4.54,
"verbosity": 1.17,
"verbosity-coeff": -0.1123
} | 3.6 | edb7e782-e64b-41a6-874d-39a9a8566f93 |
[
{
"content": "A 12 month project had a total budget of $18,000. After five months, the project had spent $6,400. At this point, how much was the project under budget?\n\n['A)$1000', 'B)$1100', 'C)$1200', 'D)$1300', 'E)$1400']",
"role": "user",
"uuid": "5615fc4f-e436-42c7-aadd-ca856c693d68"
},
{
"content": "Each month, the project should spend $18,000 / 12 = $1500.\nIn 5 months, the project should spend 5*$1500=$7500.\nThe project is under budget by $7500 - $6400 = $1100.\nThe answer is B.",
"role": "assistant",
"uuid": "59ccb3d1-99ea-4222-bc91-c435912f2b4f"
}
]
| aqua-rat | {
"coherence": 3.27,
"complexity": 0.1,
"correctness": 2.92,
"helpfulness": 2.84,
"instruction-following": 3.6,
"safety": 2.78,
"verbosity": 0.95,
"verbosity-coeff": -0.1286
} | 3.5 | b8facf91-9d5c-4728-b6be-03d5ad1816d8 |
[
{
"content": "For one toss of a certain coin, the probability that the outcome is heads is 0.3. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?\n\n['A)(0.3)^5', 'B)2(0.3)^4', 'C)3(0.3)^4', 'D)4(0.3)^4(0.7) + (0.3)^5', 'E)5(0.3)^4(0.7) + (0.3)^5']",
"role": "user",
"uuid": "9cfad31d-975a-4560-b0cd-09fef3ffd40c"
},
{
"content": "P(5 heads) = (0.3)^5\nThere are 5 ways to get 4 heads: HHHHT, HHHTH, HHTHH, HTHHH, THHHH\nP(4 heads) = 5*(0.3)^4(0.7)\nThe answer is E.",
"role": "assistant",
"uuid": "0aaadaf3-b9e3-463f-a6c6-ef3e2f527a7b"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.64,
"correctness": 1.95,
"helpfulness": 1.99,
"instruction-following": 2.49,
"safety": 4.29,
"verbosity": 1.06,
"verbosity-coeff": -0.1973
} | 3 | 8681c5ce-b7e5-4d5c-80cd-516b71673908 |
[
{
"content": "P starts a business with Rs. 4,000. After 4 months, Q joins with P as his partner.\nAfter a year, the profit is divided in the ratio 2 : 3. Q's contribution in the capital is ?\n\n['A)Rs. 7,000', 'B)Rs. 11,000', 'C)Rs. 8,000', 'D)Rs. 10,000', 'E)Rs. 9,000']",
"role": "user",
"uuid": "4fc44d6c-10b4-4f1e-824a-8b7f07fcee90"
},
{
"content": "Solution: Let's Q's capital is x.\nP : Q = (4,000 * 12): (x : 8) = 2 : 3 .\nSo Q's share = (4000 * 12/8x) = 2/3\n=> x = (4000 * 12 * 3)/(2 * 8) =Rs. 9,000\nAnswer: Option E",
"role": "assistant",
"uuid": "2bcb6a10-9ab9-4c5b-8eda-ae1ee3f3d59f"
}
]
| aqua-rat | {
"coherence": 2.66,
"complexity": 1.49,
"correctness": 1.94,
"helpfulness": 2.27,
"instruction-following": 2.53,
"safety": 4.58,
"verbosity": 0.7,
"verbosity-coeff": -0.1188
} | 3.1 | 6169860e-98b2-413e-8ba2-0cd22c835ae3 |
[
{
"content": "If each edge of cube increased by 50%, the percentage increase in\n\n['A)100', 'B)114', 'C)115', 'D)125', 'E)105']",
"role": "user",
"uuid": "6cfafc5a-1d2c-45ca-bc25-9bf0295e9aab"
},
{
"content": "100 Γ (150)/100 Γ (150)/100 = 225 => 125%\nAnswer is D.",
"role": "assistant",
"uuid": "a84c714e-821a-45d0-a2f5-41534626ac18"
}
]
| aqua-rat | {
"coherence": 2.8,
"complexity": 1.35,
"correctness": 2.04,
"helpfulness": 2.12,
"instruction-following": 2.27,
"safety": 3.86,
"verbosity": 0.86,
"verbosity-coeff": -0.1314
} | 3 | 084a5e1e-a5b6-4930-b82f-ae9afda7fe92 |
[
{
"content": "The area of a square is equal to nine times the area of a rectangle of dimensions 121 cm * 144 cm. What is the perimeter of the square?\n\n['A)1500 cm', 'B)1800 cm', 'C)1584 cm', 'D)1718 cm', 'E)1086 cm']",
"role": "user",
"uuid": "3ea82843-16eb-48e5-83f4-9c3ede5ef5ac"
},
{
"content": "Area of the square = s * s = 9(121 * 144)\n=> s = 3* 11 * 12 = 396 cm\nPerimeter of the square = 4 * 396 = 1584 cm.\nAnswer: C",
"role": "assistant",
"uuid": "3dacd5ca-be22-43db-a964-743932eb9b72"
}
]
| aqua-rat | {
"coherence": 3.29,
"complexity": 1.29,
"correctness": 2.31,
"helpfulness": 2.72,
"instruction-following": 3.91,
"safety": 5.4,
"verbosity": 0.45,
"verbosity-coeff": -0.1363
} | 3.7 | bbfb3dd9-c1db-4591-8755-a720199d606f |
[
{
"content": "On flipping 3 coins together what is the outcomes for at least four tail?\n\n['A)1/7', 'B)0', 'C)1', 'D)4/13', 'E)5/13']",
"role": "user",
"uuid": "fb494b6c-7bcc-47f2-adde-49d344662cb1"
},
{
"content": "Sample space, S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}\nFavorable outcomes for at least two heads\n= favorable outcomes for exactly two heads and favorable outcomes for more than two heads\n= {0}\n0\nB",
"role": "assistant",
"uuid": "3dff5785-f02e-4587-b619-9367e966a4fb"
}
]
| aqua-rat | {
"coherence": 2.2,
"complexity": 1.52,
"correctness": 1.42,
"helpfulness": 1.46,
"instruction-following": 1.49,
"safety": 5.36,
"verbosity": 0.98,
"verbosity-coeff": -0.104
} | 2.8 | a04b2a03-4b9a-4fa1-adfb-0631c435f0d4 |
[
{
"content": "in a certain flower shop, which stocks four types of flowers, there are 1/3 as many violets as carnations, and 1/3 as many tulips as violets. If there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?\n\n['A)63', 'B)64.28', 'C)65', 'D)66', 'E)68']",
"role": "user",
"uuid": "426a81f0-a684-4d26-b7ac-2626e641e02c"
},
{
"content": "Given :-\nViolets - C/3\nCarnations - C\nTulip - C/9\nRose - C/9\nTotal flowers in terms of C = C/3+C+C/9+C/9 = 14C/9\nPercentage of Carnations = C/14C/9 *100 =64.28%\nAnswer B",
"role": "assistant",
"uuid": "2b9e0eac-1609-4062-9219-c3e341677b71"
}
]
| aqua-rat | {
"coherence": 2.72,
"complexity": 1.29,
"correctness": 1.99,
"helpfulness": 2.14,
"instruction-following": 3.05,
"safety": 4.62,
"verbosity": 1.07,
"verbosity-coeff": -0.1773
} | 3.2 | 4a819ab7-bff5-4f09-8320-ce311efe3061 |
[
{
"content": "Average age of boys in a class is 16 years and average age of girls is 15 years, what is the average age of all\n\n['A)15.5', 'B)15', 'C)16', 'D)17', 'E)Cant be computed']",
"role": "user",
"uuid": "c81461c2-a079-4142-b2c7-79339ffee1c9"
},
{
"content": "Explanation:\nAs number of girls and boys is not given so result cant be computed\nOption D",
"role": "assistant",
"uuid": "51d5266b-ce57-4aeb-9a79-050a0c3ad120"
}
]
| aqua-rat | {
"coherence": 2.45,
"complexity": 1.09,
"correctness": 1.59,
"helpfulness": 1.67,
"instruction-following": 2.16,
"safety": 5.52,
"verbosity": 0.87,
"verbosity-coeff": -0.1219
} | 3.1 | c0f7d9d4-8f08-4dbb-ad3d-0b90fffb9dcc |
[
{
"content": "A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 72 km/hr, what is the length of the platform?\n\n['A)338', 'B)240', 'C)520', 'D)267', 'E)191']",
"role": "user",
"uuid": "ab83129a-ba54-4b1c-b99a-ff40a7e9df36"
},
{
"content": "Speed = (72 * 5/18) m/sec = 20 m/sec. Length of the train = (20 x 10)m = 200 m. Let the length of the platform be x meters. Then, (x + 200)/36 = 20 ==> x + 200 = 720 ==> x = 520 m.\nAnswer: C",
"role": "assistant",
"uuid": "9fe4550a-eb83-4230-a282-043ed1895bfc"
}
]
| aqua-rat | {
"coherence": 2.96,
"complexity": 1.78,
"correctness": 2.43,
"helpfulness": 2.61,
"instruction-following": 4.09,
"safety": 5.52,
"verbosity": 1.24,
"verbosity-coeff": -0.118
} | 3.5 | bb3af55f-88bc-4ee8-b1c7-aa2f01b50bdc |
[
{
"content": "When d is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when d + y is divided by 5?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']",
"role": "user",
"uuid": "c366d8ca-6446-49e7-b1aa-4a76eb6f128e"
},
{
"content": "In my view the answer should be C\nd/5 has Remainder=3 -> d = 5 x Q + 3\nY/5 has a Remainder=4 -> Y = 5 x Q + 3\nCombining both\n((5 x Q1 + 3) + (5 x Q2 + 3))/5 =\n5(Q1+Q2)/5 + 7/5 =\nQ1+Q2 + 7/5\n7/5 = 1+ 2/5 => Remainder 2\nAnswer C",
"role": "assistant",
"uuid": "66abfc23-7d39-4efb-a331-c56a13805092"
}
]
| aqua-rat | {
"coherence": 2.39,
"complexity": 2.16,
"correctness": 1.71,
"helpfulness": 1.79,
"instruction-following": 1.86,
"safety": 4.7,
"verbosity": 1.33,
"verbosity-coeff": -0.2195
} | 2.7 | be8f1f58-7941-437e-9c14-4640c5dea02f |
[
{
"content": "Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?\n\n['A)2000 m^2', 'B)2340 m^2', 'C)2520 m^2', 'D)2556 m^2', 'E)2534 m^2']",
"role": "user",
"uuid": "abc30a80-2e9b-4cfa-914c-2ff9b428d050"
},
{
"content": "Solving the two equations, we get: l = 63 and b = 40.\nArea = (l x b) = (63 x 40) m2 = 2520 m^2\nC",
"role": "assistant",
"uuid": "1f348e02-694b-439e-a13a-1f95725e1f1f"
}
]
| aqua-rat | {
"coherence": 3.46,
"complexity": 1.5,
"correctness": 2.76,
"helpfulness": 2.78,
"instruction-following": 3.48,
"safety": 5.63,
"verbosity": 0.65,
"verbosity-coeff": -0.1051
} | 3.7 | 7b110438-8748-4aa7-9fb2-32a67fb8da28 |
[
{
"content": "Population of a city in 20004 was 1000000. If in 2005 there isan increment of 15%, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007\n\n['A)975335', 'B)974563', 'C)976442', 'D)974257', 'E)1083875']",
"role": "user",
"uuid": "15c7610f-f3b2-481c-b09b-6ac662ee4789"
},
{
"content": "Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)\n= P (1 + 15/100)(1 - 35/100)(1 + 45/100)\n= 1083875\nE",
"role": "assistant",
"uuid": "a1e23e81-e729-4115-9621-909aa11cff74"
}
]
| aqua-rat | {
"coherence": 2.86,
"complexity": 1.68,
"correctness": 2.31,
"helpfulness": 2.49,
"instruction-following": 3.45,
"safety": 4.54,
"verbosity": 1.51,
"verbosity-coeff": -0.1235
} | 3.2 | 947a1789-5cf5-4e6d-b551-9a2fa07b2445 |
[
{
"content": "57 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?\n\n['A)10', 'B)13', 'C)14', 'D)15', 'E)19']",
"role": "user",
"uuid": "36c1a0b6-9c4b-48a0-9970-f6c2787bafb1"
},
{
"content": "According to the chain rule,\nM1 x T1 = M2 x T2\nTherefore, 57 x 12 x 5 = 30 x 6 x X\nX = 19\nHence, the number of days = 19.\nANSWER:E",
"role": "assistant",
"uuid": "1afbcf84-7924-481f-a7de-c2c8e3b13de1"
}
]
| aqua-rat | {
"coherence": 2.88,
"complexity": 1.71,
"correctness": 2.55,
"helpfulness": 2.59,
"instruction-following": 3.88,
"safety": 5.91,
"verbosity": 1.24,
"verbosity-coeff": -0.1388
} | 3.6 | 82345b70-756d-48d3-9ca3-e2b5fb1d46f5 |
[
{
"content": "Which of the number is the odd one out?\n\n['A)21165', 'B)17642', 'C)81002', 'D)52832', 'E)72927']",
"role": "user",
"uuid": "293eb7f0-e054-475b-9320-26623b6f10b1"
},
{
"content": "D\n52832\nAll the others are three digit numbers followed by their square root, eg 729 followed by its square root, 27.\nAnswer is D",
"role": "assistant",
"uuid": "e431a5b9-821b-47f2-a0d2-29287623d059"
}
]
| aqua-rat | {
"coherence": 2.37,
"complexity": 1.1,
"correctness": 1.18,
"helpfulness": 1.28,
"instruction-following": 1.17,
"safety": 2.21,
"verbosity": 1.04,
"verbosity-coeff": -0.0836
} | 2.3 | cf5f6b86-627e-4d50-861c-4c6bbea9dd97 |
[
{
"content": "The average age of the mother and her 6 children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?\n\n['A)42 years', 'B)40 years', 'C)48 years', 'D)50 years', 'E)None of these']",
"role": "user",
"uuid": "514d9039-2468-48de-abb1-a4748be724a1"
},
{
"content": "Total age of the mother and six children = 12 Γ 7 = 84 years.\nTotal age of six children = 7 Γ 6 = 42 years. (since average is reduced by 5)\nMother is 42 years old.\nANSWER:A",
"role": "assistant",
"uuid": "7d75ec04-ae2c-4a03-a3c8-3e523a41cad2"
}
]
| aqua-rat | {
"coherence": 2.98,
"complexity": 1.43,
"correctness": 2.21,
"helpfulness": 2.57,
"instruction-following": 3.74,
"safety": 4.48,
"verbosity": 0.8,
"verbosity-coeff": -0.1237
} | 3.4 | a00e6004-2d9e-4426-b543-0f7bb0aa4046 |
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