Datasets:

laurentiubp

/

aquarat-scored

like 0

[ { "content": "The LCM of three numbers is four times their GCF. Which of the following must be true of the numbers?\nI. At least one of the numbers is odd.\nII. Two of the three numbers must be same.\nIII. At least one number is the same as GCF.\n\n['A)only', 'B)option II only', 'C)and III only', 'D)and II only', 'E)I and III only']", "role": "user", "uuid": "9de1f122-9c03-4426-95a3-57da069bda0c" }, { "content": "Consider the following set: {2, 4, 8}.\nGCF = 2.\nLCM = 8 = 4*2.\nThe set discards options I and II. Only B fits.\nAnswer: B.", "role": "assistant", "uuid": "d714d3a3-9267-4dd3-aae6-eebd7ac12796" } ]

{ "coherence": 2.82, "complexity": 1.67, "correctness": 1.89, "helpfulness": 1.99, "instruction-following": 2.41, "safety": 6.53, "verbosity": 0.66, "verbosity-coeff": -0.2014 }

[ { "content": "Difficulty:\nThere are five sales agents in a certain real estate office. One month Andy sold seven times as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold seven times as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?\n\n['A)Andy', 'B)Bob', 'C)Cary', 'D)Dora', 'E)Ellen']", "role": "user", "uuid": "a57e0d4d-2824-4eba-b2d3-f5f8212ccfd4" }, { "content": "a= 7e\nb =3 +e\nc = 7b = 21+ 7e (highest of all)\nd = b + e = 3+ e +e = 3 + 2e\nAns. C", "role": "assistant", "uuid": "7b88258c-0d1a-4b35-80d2-298d5a82320e" } ]

{ "coherence": 2.64, "complexity": 1.34, "correctness": 1.92, "helpfulness": 2.1, "instruction-following": 2.92, "safety": 6.34, "verbosity": 0.81, "verbosity-coeff": -0.1204 }

[ { "content": "Albert borrowed a total of $ 6000 from john and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years?\n\n['A)571', 'B)581', 'C)441', 'D)445', 'E)631']", "role": "user", "uuid": "524f4c59-594a-4306-b603-c972d426c883" }, { "content": "Let x be the amount borrowed form john. So amount borrowed form Charlie = 6000-x.\n1494 = 21/100x + 27/100(6000-x)\n=>x = 2100.\nInterest paid = 3*7/100*2100 = 441.\nC", "role": "assistant", "uuid": "7297ca64-9e6f-4db3-ad73-0d6602f3d7aa" } ]

{ "coherence": 2.86, "complexity": 1.83, "correctness": 2.49, "helpfulness": 2.53, "instruction-following": 2.86, "safety": 6.14, "verbosity": 0.88, "verbosity-coeff": -0.1208 }

[ { "content": "In an increasing sequence of 8 consecutive even integers, the sum of the first 4 integers is 292. What is the sum of all the integers in the sequence?\n\n['A)552', 'B)616', 'C)774', 'D)886', 'E)990']", "role": "user", "uuid": "2b5c8353-e348-4fc3-8bac-7027f3108b69" }, { "content": "let the first term of the sequence be x\nsince it is consecutive even integers the terms be we x, x+2,x+4...x+14 (up to 8 terms)\nnow,\nsum of first 4 terms =292\nor,\n4x+12=292\nx=280/4=70\nThus the answer can now be calculated by either summing up 70+72+74+... 8th term\nor\ns=n/2(2a+(n-1)d\n=8/2(2*70+(7*2))\n=4(140+14)=616\nB", "role": "assistant", "uuid": "711faab4-ec0d-4a80-a403-38be3964b9fa" } ]

{ "coherence": 2.14, "complexity": 1.82, "correctness": 1.79, "helpfulness": 1.81, "instruction-following": 2.45, "safety": 5.55, "verbosity": 1.59, "verbosity-coeff": -0.2066 }

[ { "content": "Ann can have her bicycle repaired for $50, or she can trade it in, as is, and receive $22 credit toward the purchase of a new bicycle that sells for $107. If Ann trades in her current bicycle, the cost to her of purchasing the new bicycle is what percent greater than the cost of having her current bicycle repaired?\n\n['A)44%', 'B)60%', 'C)70%', 'D)114%', 'E)170%']", "role": "user", "uuid": "65e93608-f0df-4be5-97d0-8d790e02b82c" }, { "content": "The cost for repair is $50;\nThe cost of new bicycle is $107-$22=$85;\nSo, the cost to Ann of purchasing the new bicycle is 85−50/50∗100=70 greater than the cost of having her current bicycle repaired.\nAnswer: C.", "role": "assistant", "uuid": "2b7ce8eb-75ce-491c-b777-868801c5825d" } ]

{ "coherence": 2.84, "complexity": 0.99, "correctness": 1.88, "helpfulness": 1.61, "instruction-following": 2.04, "safety": 4.85, "verbosity": 0.67, "verbosity-coeff": -0.1887 }

[ { "content": "If in a race of 90m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:\n\n['A)20m', 'B)16m', 'C)11m', 'D)10m', 'E)18m']", "role": "user", "uuid": "c55a9de7-2d91-44e9-a235-6b85acae81f9" }, { "content": "Explanation:\nThe difference in the timing of A and B is 5 seconds. Hence, A beats B by 5 seconds.\nThe distance covered by B in 5 seconds = (90 * 5) / 25 = 18m\nHence, A beats B by 18m.\nANSWER E", "role": "assistant", "uuid": "2cbef5ed-9852-4935-b27d-6f3b6105be2b" } ]

{ "coherence": 2.64, "complexity": 1.13, "correctness": 2.21, "helpfulness": 2.41, "instruction-following": 3.04, "safety": 4.48, "verbosity": 1.52, "verbosity-coeff": -0.1079 }

[ { "content": "What is the remainder when (71)(73) is divided by 8?\n\n['A)1', 'B)2', 'C)4', 'D)5', 'E)7']", "role": "user", "uuid": "85bad386-b37c-4bd9-91b8-366ff145fac0" }, { "content": "(71)(73) = (72-1)(72+1) = 72^2 - 1 which is 1 less than a multiple of 8.\nThen the remainder will be 7.\nThe answer is E.", "role": "assistant", "uuid": "ea2538ac-b7fd-42d0-a5c1-d62b4d037e27" } ]

{ "coherence": 3.15, "complexity": 1.89, "correctness": 2.35, "helpfulness": 2.39, "instruction-following": 2.82, "safety": 5.63, "verbosity": 1.28, "verbosity-coeff": -0.2302 }

[ { "content": "The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability A that Tommy CANNOT form a triangle from the 3 sticks?\n\n['A)11/32', 'B)13/32', 'C)15/32', 'D)17/32', 'E)19/32']", "role": "user", "uuid": "aea4bdca-b059-458a-92a7-520483306ba3" }, { "content": "In order to form a triangle, the sum of two sides must be greater than the third side.\nSo we can choose the combination of numbers which will NOT result in a triangle.\nFavorable outcomes:\n1,1,4 (4>1+1): 3 ways of arriving at this (1,1,4), (1,4,1), (4,1,1) or\n1,2,4 (4>1+2): 6 ways of arriving at this (1,2,4), (1,4,2), (2,1,4), (2,4,1), (4,1,2), (4,2,1) which is same as 3!\n1,3,4 (4=1+3): 6 ways of arriving at this\n2,2,4 (4=2+2): 3 ways of arriving at this\n1,1,3 (3>1+1): 3 ways of arriving at this\n1,2,3 (3=1+2): 6 ways of arriving at this\n1,1,2 (2+1+1): 3 ways of arriving at this\nOverall favourable outcomes: 30\nTotal outcomes: 4*4*4 = 64 (4 ways of choosing a stick from each of the 3 bags)\nProbability A that a triangle is not formed = 30/64 = 15/32\nC is the correct option here.", "role": "assistant", "uuid": "7798e449-3967-49b7-a748-9e3f5126bc2f" } ]

{ "coherence": 2.96, "complexity": 1.67, "correctness": 2.35, "helpfulness": 2.64, "instruction-following": 3.09, "safety": 4.3, "verbosity": 1.5, "verbosity-coeff": -0.1987 }

[ { "content": "Find the differece between largest and smallest number formerd by the digits 0,1,2,3,5\n\n['A)41375', 'B)42975', 'C)42775', 'D)43565', 'E)43589']", "role": "user", "uuid": "d5be205f-fd3e-4edf-8edb-316a3e6a6b6b" }, { "content": "Explanation:\n53210\n01235\n---------\n41975\nAnswer: Option B", "role": "assistant", "uuid": "d5266229-c21c-4884-936d-ecc54f432384" } ]

{ "coherence": 1.88, "complexity": 0.89, "correctness": 1.01, "helpfulness": 1.09, "instruction-following": 0.96, "safety": 3.8, "verbosity": 0.09, "verbosity-coeff": -0.1446 }

[ { "content": "Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?\n\n['A)2400', 'B)2888', 'C)277', 'D)271', 'E)128']", "role": "user", "uuid": "5c089c9f-915d-44e8-8001-5dd0fae6b63b" }, { "content": "First persons investment = x\nSecond persons investment = x + 1000\nThird persons investments = x + 2000\nx + x + 1000 + x + 2000 = 9000\n3x = 6000\nx = 2000\nRatio = 2000 : 3000 : 4000\n2:3:4\n4/9 * 54000 = 2400\nAnswer: A", "role": "assistant", "uuid": "437c062d-8cef-428e-b73d-7110f8369823" } ]

{ "coherence": 2.82, "complexity": 0.91, "correctness": 2.41, "helpfulness": 2.72, "instruction-following": 3.84, "safety": 5.52, "verbosity": 0.94, "verbosity-coeff": -0.1242 }

[ { "content": "The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1500 resolutions?\n\n['A)2112 m', 'B)2704 m', 'C)2278 m', 'D)2288 m', 'E)2378 m']", "role": "user", "uuid": "9cc0d70a-d061-457c-9812-396b70b5a1d5" }, { "content": "In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 1500 resolutions.\n= 1500 * 2 * 22/7 * 22.4 = 211200 cm\n= 2112 m\nAnswer: A", "role": "assistant", "uuid": "834e3a19-2490-4119-ac7f-0b5b0c37105a" } ]

{ "coherence": 3.13, "complexity": 1.38, "correctness": 2.62, "helpfulness": 3.02, "instruction-following": 4.3, "safety": 3.88, "verbosity": 1.21, "verbosity-coeff": -0.1073 }

[ { "content": "Tammy climbed a mountain in two days. She spent a total of 14 hours climbing the mountain. On the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. If the total distance she climbed during the two days is 52 kilometers, how many W kilometers per hour did Tammy walk on the second day?\n\n['A)3', 'B)3.5', 'C)4', 'D)4.5', 'E)6']", "role": "user", "uuid": "f22502f8-7fc3-441c-81f2-5fd2a77842b3" }, { "content": "Ans: C\nTotal time = 14 hrs\nLet time traveled during 1st day = x\nLet time traveled during 2nd day = x-2\nTotal time =14\nx+x-2 = 14\nx=8\nspeed * time = distance\ns*8 + (s+0.5)(8-2) = 52\nsolving s = 4.5\nnow speed for 2nd day is 0.5 less than the 1st day which is 4.5\nThus speed for 2nd day = 4\nIts simple algebra for s*8 + (s+0.5)(8-2) = 52 but for some reason Im getting 3.5 and not 4.5.\n8s+6s+3=52\n14s=49\ns=3.5", "role": "assistant", "uuid": "fe9a1ed4-cb5c-4212-be06-742b3dd336e1" } ]

{ "coherence": 2.8, "complexity": 1.39, "correctness": 1.84, "helpfulness": 1.9, "instruction-following": 2.1, "safety": 4.34, "verbosity": 1.3, "verbosity-coeff": -0.1523 }

[ { "content": "A sum of money is sufficient to pay X's wages for 36 days and Y's wages for 45 days. The same money is sufficient to pay the wages of both for?\n\n['A)16', 'B)17', 'C)18', 'D)19', 'E)20']", "role": "user", "uuid": "9de8b8a9-7dfd-40a8-b682-931cd0fe7d71" }, { "content": "Let the total money be $x\nX's 1day work = $ x/36\nY's 1day work = $ x/45\nX+Y 1day work = $ x/20\nMoney is sufficient to pay the wages of both for 20days\nAnswer is E", "role": "assistant", "uuid": "46f33eec-2103-44fc-a56a-ba89260ea822" } ]

{ "coherence": 2.78, "complexity": 1.85, "correctness": 2.62, "helpfulness": 2.88, "instruction-following": 3.41, "safety": 5.16, "verbosity": 0.96, "verbosity-coeff": -0.186 }

[ { "content": "Find the compound interest on $ 16,000 at 20% per annum for 9 months, compounded quarterly\n\n['A)2532', 'B)2552', 'C)2524', 'D)2522', 'E)2512']", "role": "user", "uuid": "109ec24f-1dee-4f2b-adbe-a2a76b0d1050" }, { "content": "Principal = $ 16000; Time = 9 months =3 quarters;\nRate = 20% per annum = 5% per quarter.\nAmount = $ [16000 x (1+(5/100))^3] = $ 18522.\nCI. = $ (18522 - 16000) = $ 2522.\nAnswer D.", "role": "assistant", "uuid": "97c92a31-bf90-4b62-9ec6-1cc874a01746" } ]

{ "coherence": 2.94, "complexity": 0.96, "correctness": 2.31, "helpfulness": 2.57, "instruction-following": 3.5, "safety": 5.05, "verbosity": 1.42, "verbosity-coeff": -0.1206 }

[ { "content": "A man sells two articles for Rs.3600 each and he gains 25% on the first and loses 25% on the next. Find his total gain or loss?\n\n['A)9% loss', 'B)6.25% Loss', 'C)4000', 'D)324', 'E)8% LOSS']", "role": "user", "uuid": "2603f6b9-997d-4c46-8c9f-dd2ab6c38d02" }, { "content": "(25*25)/100 = 6.25%loss\nANSWER:B", "role": "assistant", "uuid": "57d355e2-58d9-4b0e-badd-a3b910b46c01" } ]

{ "coherence": 2.7, "complexity": 1.31, "correctness": 2.31, "helpfulness": 2.29, "instruction-following": 3.02, "safety": 5.05, "verbosity": 0.97, "verbosity-coeff": -0.1158 }

[ { "content": "Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 10 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?\n\n['A)4', 'B)5', 'C)6', 'D)12', 'E)None of these']", "role": "user", "uuid": "16e54a28-27ae-4731-808b-31dea9abd2eb" }, { "content": "The part of job that Suresh completes in 9 hours\n= 9⁄15 = 3⁄5\nRemaining job = 1 - 3⁄5 = 2⁄5\nRemaining job can be done by Ashutosh in 2⁄5 × 10 = 4 hours\nAnswer A", "role": "assistant", "uuid": "38a783b1-36cd-43ff-a9f1-bc5273e013aa" } ]

{ "coherence": 2.74, "complexity": 1.17, "correctness": 2.78, "helpfulness": 2.8, "instruction-following": 3.74, "safety": 5.87, "verbosity": 0.47, "verbosity-coeff": -0.1286 }

[ { "content": "Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 12 blocks. How many different 12-block routes may they take to travel the shortest possible distance to their aunt’s house?\n\n['A)12!/(7*5)', 'B)19!/(12!)', 'C)12!/(7!5!)', 'D)12!*7!*5!', 'E)7!*5!']", "role": "user", "uuid": "300bbb87-1e4e-4e70-a997-62c18ef5b799" }, { "content": "If they need to walk 7 blocks north and 5 blocks east, we can express this route as NNNNNNNEEEEE. The question thus asks us how many ways we can arrange those letters.\nThe number of arrangements of 12 things is 12!\nWe then divide by the repetitions of N's and E's, which are 7! and 5! respectively.\nThe number of walking routes is 12!/(7!5!).\nThe answer is C.", "role": "assistant", "uuid": "124af818-ee6f-450f-8658-4fa460b702c9" } ]

{ "coherence": 3.23, "complexity": 1.83, "correctness": 2.61, "helpfulness": 2.88, "instruction-following": 3.45, "safety": 4.97, "verbosity": 1.56, "verbosity-coeff": -0.1921 }

[ { "content": "A certain amount earns simple interest of Rs. 1750 after 7 years. Had the interest been 2% more, how much more interest would it have earned?\n\n['A)Rs. 35', 'B)Rs. 245', 'C)Rs. 350', 'D)Cannot be determined', 'E)None of these']", "role": "user", "uuid": "9bbac277-da0f-4284-9106-8dbba0dd45b3" }, { "content": "EXPLANATION\nWe need to know the S.I., principal and time to find the rate.\nSince the principal is not given, so data is inadequate.\nAnswer D", "role": "assistant", "uuid": "53da91c5-c5f7-4404-aa89-5ad9b232001e" } ]

{ "coherence": 2.8, "complexity": 1.36, "correctness": 2.16, "helpfulness": 2.35, "instruction-following": 2.82, "safety": 5.2, "verbosity": 0.91, "verbosity-coeff": -0.1142 }

[ { "content": "Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?\n\n['A)Nitin', 'B)Sukhbir', 'C)Manoj', 'D)Data inadequate', 'E)None of these']", "role": "user", "uuid": "2ff39e50-98d1-4db2-b7c5-de92f9ed6a90" }, { "content": "Data Inadequate. As No relation is given among Randhir and Nitin.\nANSWER:D", "role": "assistant", "uuid": "5a87776d-5462-4748-b208-525a9eb47f99" } ]

{ "coherence": 2.68, "complexity": 1.12, "correctness": 2.33, "helpfulness": 2.37, "instruction-following": 2.59, "safety": 5.59, "verbosity": 0.98, "verbosity-coeff": -0.1286 }

[ { "content": "The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?\n\n['A)1 years', 'B)2 years', 'C)3 years', 'D)4 years', 'E)5 years']", "role": "user", "uuid": "5a7a6ad7-afd2-403e-96e6-801860c7b762" }, { "content": "Amount = Rs. (30000 + 4347) = Rs. 34347.\nLet the time be n years.\nThen, 30000 1 + 7 n = 34347\n100\n107 n = 34347 = 11449 = 107 2\n100 30000 10000 100\nn = 2 years\nB", "role": "assistant", "uuid": "6f7d61de-c151-494a-a406-f3077b315ff7" } ]

{ "coherence": 2.55, "complexity": 1.22, "correctness": 1.78, "helpfulness": 1.63, "instruction-following": 3.09, "safety": 4.54, "verbosity": 0.9, "verbosity-coeff": -0.1229 }

[ { "content": "The sum of money at compound interest amounts to thrice itself in 3 years. In how many years will it be 9 times itself?\n\n['A)7', 'B)1', 'C)8', 'D)6', 'E)9']", "role": "user", "uuid": "c09ade99-8c18-4bb3-a0e4-4b35659556d5" }, { "content": "100 ---- 300 --- 3\n900 --- 3\n----\n6 years\nAnswer:D", "role": "assistant", "uuid": "8eb1335f-2ff3-4f8d-b73b-54eabe751607" } ]

{ "coherence": 2.66, "complexity": 1.32, "correctness": 2.04, "helpfulness": 2, "instruction-following": 2.29, "safety": 5.2, "verbosity": 0.45, "verbosity-coeff": -0.1579 }

[ { "content": "Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 8) and (14,4). What is the slope of line m?\n\n['A)-2', 'B)-1', 'C)0', 'D)1', 'E)2']", "role": "user", "uuid": "0540fe0e-c89d-436f-9d22-4adf3bea6c5b" }, { "content": "The midpoint of (2,8) and (14,4) is (8,6).\nThe slope of a line through (0,-2) and (8,6) is (6-(-2))/(8-0) = 8/8 = 1\nThe answer is D.", "role": "assistant", "uuid": "d82e4ff7-ca4c-4415-a9cd-a331f09c78f5" } ]

{ "coherence": 3.23, "complexity": 1.87, "correctness": 2.8, "helpfulness": 2.86, "instruction-following": 3.39, "safety": 5.52, "verbosity": 1.28, "verbosity-coeff": -0.2089 }

[ { "content": "A man can row a boat at 36 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 100 km upstream?\n\n['A)10/3', 'B)10/7', 'C)10/9', 'D)10/11', 'E)10/13']", "role": "user", "uuid": "55575126-f979-475e-b13e-72b7a280e5ea" }, { "content": "Speed upstream = 36-6=30 kmph.\nTime required to cover 100 km upstream = d/s = 100/30 = 10/3 hours. Answer:A", "role": "assistant", "uuid": "6493e76b-1144-4a16-b1d5-ab92b362885c" } ]

{ "coherence": 3.05, "complexity": 0.85, "correctness": 2.53, "helpfulness": 2.59, "instruction-following": 3.31, "safety": 5.48, "verbosity": 0.57, "verbosity-coeff": -0.1138 }

[ { "content": "The average of the marks of 10 students in a class is 40. If the marks of each student are doubled, find the new average?\n\n['A)78', 'B)56', 'C)80', 'D)27', 'E)40']", "role": "user", "uuid": "c6e5738d-ef9a-4b67-85f6-44557c74eb62" }, { "content": "Sum of the marks for the 10 students\n= 10 * 40 = 400. The marks of each student are doubled, the sum also will be doubled.\nThe new sum = 400 * 2 = 800. So, the new average\n= 800/10 = 80.\nAnswer: C", "role": "assistant", "uuid": "4fe28412-545c-4002-a9e0-69ba205e8401" } ]

{ "coherence": 3, "complexity": 1.65, "correctness": 3.02, "helpfulness": 3.11, "instruction-following": 4.13, "safety": 5.63, "verbosity": 1.6, "verbosity-coeff": -0.1163 }

[ { "content": "A man covers a distance of 180 Km at 72 Kmph and next 190km at 88 Kmph. what is his average speed For his whole journey of 370 Km?\n\n['A)77 Kmph', 'B)77.15 Kmph', 'C)77.25 Kmph', 'D)79 Kmph', 'E)80 Kmph']", "role": "user", "uuid": "68725bf3-20af-428e-90d5-5016cb90bea9" }, { "content": "Formula = 2*F.S*S.P/F.S+S.P\n= 2*72*88/88+72\n=79.2 Kmph\nOption 'C'", "role": "assistant", "uuid": "424276de-fd8f-4f76-a055-3017030597dd" } ]

{ "coherence": 2.25, "complexity": 1.61, "correctness": 0.91, "helpfulness": 1.07, "instruction-following": 2.02, "safety": 5.63, "verbosity": 0.85, "verbosity-coeff": -0.1187 }

[ { "content": "John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?\n\n['A)235 miles.', 'B)245 miles.', 'C)225 miles.', 'D)265 miles.', 'E)275 miles.']", "role": "user", "uuid": "85660db3-d240-4b66-b50f-cececa1947ca" }, { "content": "The total distance D traveled by John is given by\nD = 45 * 2 + 3 * 45 = 225 miles.\nAnswer C", "role": "assistant", "uuid": "0c0b23ae-1b04-45a9-92f9-e8a53d4da85a" } ]

{ "coherence": 2.96, "complexity": 0.81, "correctness": 2.66, "helpfulness": 2.62, "instruction-following": 3.29, "safety": 4.77, "verbosity": 0.93, "verbosity-coeff": -0.1756 }

[ { "content": "Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two\nmore nickels than dimes, and three times as many pennies as nickels. How many of each kind\nof coin does he have if the total value is $0.52?\n\n['A)1 dimes, 2 nickels, and 4 pennies.', 'B)2 dimes, 4 nickels, and 12 pennies.', 'C)5 dimes, 5 nickels, and 6 pennies.', 'D)7 dimes, 8 nickels, and 12 pennies.', 'E)5 dimes, 4 nickels, and 3 pennies.']", "role": "user", "uuid": "a6e8f5e1-6e3f-448f-a3a5-e44eac270a2e" }, { "content": "This problem involves money.\nThe question asks, “How many of each kind of coin”.\nThere is more than one unknown. So when doing the let statement, start with the\nsmallest quantity, in this case, the number of dimes.\nLet x the number of dimes\nx+2 the number of nickels\n3x+2= the number of pennies\nThe value of all the dimes$0.10x plus the value of all the nickels$0.5(x+2) plus the\nvalue of all the pennies$0.01(3)(x+2) equals the total value, $0.52.\nWrite the equation.\n0.10x+0.05(x+2)+0.03(x+2)=0.52\n10x+5(x+2)+3(x+2)=52\n10x+5x+10+3x+6=52\n18x=36\nx=2\nx+2=4\n3(x+2)=12\nThe answer: Michael has 2 dimes, 4 nickels, and 12 pennies.\ncorrect answer B", "role": "assistant", "uuid": "335aa266-eaf2-44dc-a06f-f193acfd8ab5" } ]

{ "coherence": 2.98, "complexity": 1.66, "correctness": 2.8, "helpfulness": 2.9, "instruction-following": 3.13, "safety": 3.91, "verbosity": 1.33, "verbosity-coeff": -0.1235 }

[ { "content": "A train 120 m in length crosses a telegraph post in 12 seconds. The speed of the train is?\n\n['A)16 kmph', 'B)88 kmph', 'C)36 kmph', 'D)18 kmph', 'E)19 kmph']", "role": "user", "uuid": "1bf61694-a375-4336-81f3-5e666cb51e0d" }, { "content": "S = 120/12 * 18/5\n= 36 kmph\nAnswer: C", "role": "assistant", "uuid": "6b7173e1-af32-4104-a6d4-a56d2d4bebe7" } ]

{ "coherence": 2.57, "complexity": 1.4, "correctness": 2.23, "helpfulness": 2.35, "instruction-following": 3.7, "safety": 5.01, "verbosity": 0.54, "verbosity-coeff": -0.1128 }

[ { "content": "In the equation ax^2 + bx + c = 0 a, b, and c are constants, and abc # 0. If one root of the equation is -2, and b = 7a then which of the following is c equal to?\n\n['A)a/12', 'B)a/8', 'C)6a', 'D)10a', 'E)12a']", "role": "user", "uuid": "93b0e5ae-ae39-4ed3-a734-fe70d0ff6711" }, { "content": "The sum of the roots is = -b/a = -7a/a = -7. Let the other root be x. Thus, x-2 = -7\nx = -5. Again, the product of the roots is -2*-5 = 10. Thus, c/a = 10. c = 10a.\nD.", "role": "assistant", "uuid": "98742141-0bfc-4000-8224-d8e097c5374e" } ]

{ "coherence": 2.76, "complexity": 0.99, "correctness": 1.69, "helpfulness": 1.92, "instruction-following": 1.39, "safety": 5.91, "verbosity": 0.26, "verbosity-coeff": -0.2054 }

[ { "content": "If 0.5% of A =65 paise, then the value of A is ?\n\n['A)Rs. 130', 'B)Rs. 17', 'C)Rs. 1.70', 'D)Rs. 4.25', 'E)None']", "role": "user", "uuid": "52710cbd-fc4c-4700-9097-cd5aec41e709" }, { "content": "Answer\n∵ 0.5/100 of A = 65/100\n∴ A = Rs. (65 / 0.5) = Rs. 130\nCorrect Option: A", "role": "assistant", "uuid": "dfa8682d-97ad-41a4-a7e3-49ee9c7336a0" } ]

{ "coherence": 2.9, "complexity": 1.49, "correctness": 2.14, "helpfulness": 2.45, "instruction-following": 3.54, "safety": 5.24, "verbosity": 0.94, "verbosity-coeff": -0.1162 }

[ { "content": "Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?\n\n['A)14', 'B)16', 'C)15', 'D)23', 'E)24']", "role": "user", "uuid": "0a111a02-9ebc-40d0-b5dd-a681a6fd054f" }, { "content": "Given, the preset ratio of the ages of Sameer and Anand is 5:4\nLet Age of Sameer/5 = Age of Anand/4= x\nPresent age of Sameer = 5x\nPresent age of Anand = 4x\nAfter 3 years,\nAge of Sameer woud be 5x+3\nAge of Anand woud be 4x+3\nSo (5x+3)/(4x+3)= 119\n= x = 6\nHence age of Anand will be 6X4 = 24 years. ANSWER : E", "role": "assistant", "uuid": "2796adc3-4295-4ed6-bcdc-399cc319aaa7" } ]

{ "coherence": 2.45, "complexity": 1.48, "correctness": 1.82, "helpfulness": 2.04, "instruction-following": 2.8, "safety": 6.41, "verbosity": 0.65, "verbosity-coeff": -0.1371 }

[ { "content": "0, 1, 2, 4, 6, 9, 12, 16, ?\nWhat number should replace the question mark?\n\n['A)24', 'B)20', 'C)19', 'D)26', 'E)47']", "role": "user", "uuid": "ceb7690b-0209-4753-a820-f98a3daa9763" }, { "content": "B\n20\nadd 1, 1, 2, 2, 3, 3, 4, 4.", "role": "assistant", "uuid": "7bdc44ed-dea2-4a9a-80c3-21b979a13774" } ]

{ "coherence": 2.41, "complexity": 1.13, "correctness": 1.9, "helpfulness": 2.06, "instruction-following": 2.18, "safety": 2.88, "verbosity": 0.54, "verbosity-coeff": -0.0922 }

[ { "content": "A father left a will of 68,000 to be divided between his two sons aged 10 years and 12 years such that they may get equal amount when each attains the age of 18 years If the money is reckoned at 10% p.a., find how much each gets at the time of the will.\n\n['A)30,000, 38,000', 'B)28,000, 40,000', 'C)32,000, 36,000', 'D)Cannot be determined.', 'E)None of these']", "role": "user", "uuid": "200d2ae7-6cc3-40cd-8dc0-b07ff20647f7" }, { "content": "Let one gets = x\nthen, second gets = (68,000 – x)\nGiven : A1 = A2\nx+x×10×8/100=(68,000−x)+(68,000−x)×10×6/100\n⇒ x[100 + 80] = (68,000 - x)[100 + 60]\n⇒ 180⁄160x = 68,000 - x\n⇒ 34x = 68000 × 16 ⇒ x = 32000\n∴ second gets = 36,000\nAnswer C", "role": "assistant", "uuid": "055d53c1-89eb-47f6-b295-f04a9004ca7d" } ]

{ "coherence": 2.41, "complexity": 2.14, "correctness": 1.8, "helpfulness": 1.79, "instruction-following": 3.11, "safety": 4.21, "verbosity": 0.96, "verbosity-coeff": -0.1291 }

[ { "content": "P software has coding line 5% more than N, N software has coding line 1/2 more than M. M software has 100 lines of coding. find P lines.\n\n['A)106', 'B)107', 'C)108', 'D)109', 'E)158']", "role": "user", "uuid": "3a812a2d-57f7-4adc-841f-36617c801100" }, { "content": "M s/w has 100 line of code\nN s/w has = 100+100*1/2= 150 line of code\nP s/w 5% more N' code 150+7.5=157.5\nor\n158 line of code\nANSWER:E", "role": "assistant", "uuid": "e7f0578b-b41c-4aa9-bb04-64df13b3dbbc" } ]

{ "coherence": 2.55, "complexity": 1.71, "correctness": 2.21, "helpfulness": 2.43, "instruction-following": 3.52, "safety": 4.81, "verbosity": 1.16, "verbosity-coeff": -0.1215 }

[ { "content": "Let f(x) = x^2 + bx + c. If f(1) = 0 and f(-5) = 0, then f(x) crosses the y-axis at what y-coordinate?\n\n['A)-5', 'B)-1', 'C)0', 'D)1', 'E)5']", "role": "user", "uuid": "5b84414f-0be8-4f85-9f53-503deeb7c49d" }, { "content": "When x = 1 and when x = -5, the expression f(x) = x² + bx + c equals 0.\nThen f(x) = (x-1)(x+5)\nf(0) = -5\nThe answer is A.", "role": "assistant", "uuid": "5c3fa9b0-632c-4389-a2df-b7d46469e35c" } ]

{ "coherence": 2.66, "complexity": 2.37, "correctness": 2.35, "helpfulness": 2.29, "instruction-following": 3.04, "safety": 4.66, "verbosity": 1.25, "verbosity-coeff": -0.1914 }

[ { "content": "In a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1/4 . If the probability that a number 12 or larger is drawn is 2/3 , what is the probability that a number less than or equal to 20 is drawn?\n\n['A) 1/18', 'B) 1/6', 'C) 1/3', 'D) 1/2', 'E) 7/12']", "role": "user", "uuid": "543cd94c-bfd1-48c1-813f-c1c12d57a617" }, { "content": "You can simply use sets concept in this question. The formula\nTotal = n(A) + n(B) - n(A and B) is applicable here too.\nSet 1: Number 12 or larger\nSet 2: Number 20 or smaller\n1 = P(Set 1) + P(Set 2) - P(Set 1 and Set 2) (combined probability is 1 because every number will be either12 or moreOR20 or lessOR both)\n2/3 + P(Set 2) - 1/4 = 1\nP(Set 2) = 7/12\nAnswer (E)", "role": "assistant", "uuid": "81fa1772-ba2b-4f61-a83c-2447bd25a39f" } ]

{ "coherence": 2.8, "complexity": 1.23, "correctness": 1.98, "helpfulness": 2.12, "instruction-following": 2.68, "safety": 5.2, "verbosity": 0.84, "verbosity-coeff": -0.1699 }

[ { "content": "Ron begins reading a book at 4: 30 p.m. and reads at a steady pace of 30 pages per hour. Michelle begins reading a copy of the same book at 7: 30 p.m. If Michelle started 5 pages behind the page that Ron started on and reads at an average pace of 50 pages per hour, at what time would Ron and Michelle be reading the same page?\n\n['A)7: 00 p.m.', 'B)7: 30 p.m.', 'C)7: 45 p.m.', 'D)10: 00 p.m.', 'E)10: 30 p.m.']", "role": "user", "uuid": "aa29825a-f543-46e1-90c5-b89130b7945c" }, { "content": "M gains 50-30=20 pages per hour on R\nat 7:30pm R has read 45 pages and M is 45+5=50 pages behind him\ntime=50/20=2.5 hours\nthey are on the same page at 10:00pm\nD", "role": "assistant", "uuid": "7dc23f0e-b67e-49ea-a256-388add3e45d4" } ]

{ "coherence": 2.55, "complexity": 1.33, "correctness": 1.83, "helpfulness": 1.89, "instruction-following": 2.41, "safety": 6.3, "verbosity": 0.82, "verbosity-coeff": -0.1743 }

[ { "content": "Dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?\n\n['A)30%', 'B)28%', 'C)32%', 'D)33%', 'E)34%']", "role": "user", "uuid": "1196e299-e13a-4e4d-b2b9-7c8831cbd5d3" }, { "content": "Say Dhoni's earning last month was $100.\nDhoni spent 40 percent of his earning last month on rent --> $40 on rent;\n20 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.8=$32 on the dishwasher.\nLeft over amount 100 - (40 + 32) = $28\nAnswer: B", "role": "assistant", "uuid": "9dd4ea79-061d-461e-8e3e-778d9948dd0a" } ]

{ "coherence": 3.15, "complexity": 0.99, "correctness": 3, "helpfulness": 2.94, "instruction-following": 3.68, "safety": 5.09, "verbosity": 1.05, "verbosity-coeff": -0.153 }

[ { "content": "A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?\n\n['A)12002', 'B)12000', 'C)12028', 'D)12020', 'E)12013']", "role": "user", "uuid": "220dfd44-566b-48aa-8334-94b9552027e5" }, { "content": "[1000 + (X-4000) * (2.5/100)] - X * (5/100)\n= 600\nX = 12000\nAnswer: B", "role": "assistant", "uuid": "f810bed2-d152-45f6-9c49-3b47f8952079" } ]

{ "coherence": 2.78, "complexity": 1.61, "correctness": 2.08, "helpfulness": 2.39, "instruction-following": 2.88, "safety": 5.28, "verbosity": 0.67, "verbosity-coeff": -0.1211 }

[ { "content": "In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of\n\n['A)Rs. 3100', 'B)Rs. 6500', 'C)Rs. 6240', 'D)Rs. 9600', 'E)Rs. 9800']", "role": "user", "uuid": "2bb155ca-b1f0-475b-9c8a-00076dabeba0" }, { "content": "Explanation :\nMarket Value = Rs. 96.\nRequired Income = Rs. 650.\nHere face value is not given. Take face value as Rs.100 if it is not given in the question\nTo obtain Rs.10 (ie,10% of the face value 100), investment = Rs.96\nTo obtain Rs.650, investment = 96/10×650=6240\nAnswer : Option C", "role": "assistant", "uuid": "13da3c12-749d-4dd5-8956-9465d6d1ce41" } ]

{ "coherence": 2.74, "complexity": 1.61, "correctness": 2.59, "helpfulness": 2.84, "instruction-following": 3.31, "safety": 3.93, "verbosity": 0.89, "verbosity-coeff": -0.1178 }

[ { "content": "If a and b are consecutive integers (b>a), which of the following statements could be false?\n1. The multiplication a+b is an even number.\n2. (b/a) > 1.\n3. (a + b) is always an odd number.\n\n['A)1 only.', 'B)2 only.', 'C)1 and 2 only.', 'D)1 and 3 only.', 'E)1, 2 and 3.']", "role": "user", "uuid": "930b5675-4444-4edf-a8bb-5bfec6019392" }, { "content": "Consecutive numbers means that one will be even and one will be odd.\n(b/a) > 1.\nIf b= 1 and a=0\nb/a= Undefined\nOr if b =-1 and a=-2\nb/a= 1/2 <1\nCould be False\n3. (a +b) is always an odd number.\nEven+ Odd= Odd. True\nC is the answer", "role": "assistant", "uuid": "c1dabb13-c7c8-4a46-b759-439cd8c53f9e" } ]

{ "coherence": 2.64, "complexity": 2.23, "correctness": 1.84, "helpfulness": 2.02, "instruction-following": 1.65, "safety": 5.48, "verbosity": 1.52, "verbosity-coeff": -0.1961 }

[ { "content": "What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, 38, 43 x\n\n['A)46', 'B)26', 'C)36', 'D)35', 'E)45']", "role": "user", "uuid": "79bd755f-8ae2-4de0-98b8-d80422322719" }, { "content": "(A)\nThe pattern is + 3, + 5, + 3, + 5, …………\nSo the missing term is = 43 + 3 = 46.", "role": "assistant", "uuid": "32bd84cd-e942-4abd-aae2-a4e020d84bb4" } ]

{ "coherence": 3.15, "complexity": 1.74, "correctness": 2.88, "helpfulness": 3.15, "instruction-following": 3.19, "safety": 3.54, "verbosity": 0.78, "verbosity-coeff": -0.0797 }

[ { "content": "The positive integers a and b leave remainders of 2 and 3, respectively, when divided by 6. a > b.\nWhat is the remainder when a – b is divided by 6?\n\n['A)4', 'B)3', 'C)5', 'D)2', 'E)1']", "role": "user", "uuid": "3a58b785-f4bc-4af9-b675-35a961c0c999" }, { "content": "Let's test out some values of m and n that satisfy the given information.\na leaves are remainder of 2 when divided by 6\nSo, a COULD equal 8\nb leaves are remainder of 3 when divided by 6\nSo, b COULD equal 3\nWhat is the remainder when a – b is divided by 6?\nSo, a - b = 8 - 3 = 5, and when we divide 5 by 6, we get 0 with remainder 5\nAnswer: C", "role": "assistant", "uuid": "6a96e8b8-d610-4939-b219-c7bd32074353" } ]

{ "coherence": 2.72, "complexity": 1.91, "correctness": 2.21, "helpfulness": 2.41, "instruction-following": 2.53, "safety": 5.32, "verbosity": 1.56, "verbosity-coeff": -0.2263 }

[ { "content": "Four machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 10 days?\n\n['A)5', 'B)3', 'C)4', 'D)6', 'E)1']", "role": "user", "uuid": "0352c799-2a2b-4e4c-a074-68bdf062e502" }, { "content": "Rate of one machine = 1 job / (20*4) days\nlet X = number of machines needed to complete the job in 10 days\n1/(4*20) * 10 * X = 1 job\nX = 8\n8-4= 4\nANSWER: C", "role": "assistant", "uuid": "020bd2e4-0c54-491c-a71e-93ff79d2e3c3" } ]

{ "coherence": 2.43, "complexity": 1.43, "correctness": 2.31, "helpfulness": 2.53, "instruction-following": 3.07, "safety": 5.91, "verbosity": 1.04, "verbosity-coeff": -0.2057 }

[ { "content": "Tom read a book containing 100 pages by reading the same number of pages each day. If he would have finished the book 10 days earlier by reading 30 pages a day more, how many days did Tom spend reading the book?\n\n['A)7', 'B)7.68', 'C)8', 'D)9', 'E)10']", "role": "user", "uuid": "b8b0f6f8-abf9-47c8-8a94-63436557f171" }, { "content": "Actually u can set up 2 equation\nP--stands for the pages\nD--stands for the days\n1) P*D=100 (we want to find the Days, soP=100/D)\n2) (P+30)(D-10)=100 => PD-10P+30D-300=100\nas the 1) stated u can put 1) into 2)\n=> 100-10P+30D-300=100 => 30D-10P=100\nput the bold one into it => 30D-10(100/D)=100\nthe we get the final equation 30D^2-1000=100D (divide 16)\n=> D^2-5D-150=0\n(D-15)(D+10)=0 so D=7.68 days. Ans:( B)", "role": "assistant", "uuid": "90afd043-5aaa-4734-a3fd-06e5859af432" } ]

{ "coherence": 2.14, "complexity": 1.5, "correctness": 1.31, "helpfulness": 1.27, "instruction-following": 1.74, "safety": 4.3, "verbosity": 0.83, "verbosity-coeff": -0.1324 }

[ { "content": "In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?\n\n['A)3 years', 'B)2 years', 'C)4 years', 'D)1 year', 'E)5 years']", "role": "user", "uuid": "d6ca5644-3488-4891-9017-d64df9567e69" }, { "content": "Principal = Rs. 1000; Amount = Rs. 1331; Rate = 10% p.a. Let the time be n years. Then,\n[ 1000 (1+ (10/100))n ] = 1331 or (11/10)n = (1331/1000) = (11/10)3\nn = 3 years.\nANSWER A 3 years", "role": "assistant", "uuid": "cacffdb9-2c3c-4bb3-844b-84e05b5d8b99" } ]

{ "coherence": 3.43, "complexity": 1.97, "correctness": 3.09, "helpfulness": 3.23, "instruction-following": 3.88, "safety": 3.8, "verbosity": 1.62, "verbosity-coeff": -0.1126 }

[ { "content": "A can do a piece of work in 90 days & Y can do it in 80 days. They began working together but A leaves after some days and then B completed the remaining work in 46 days. The number of days after which A left the work was?\n\n['A)10 days', 'B)11 days', 'C)16 days', 'D)17 days', 'E)18 days']", "role": "user", "uuid": "f8c3c7d3-b0e3-465e-b0ca-34ac79da39bf" }, { "content": "A and B did the work for some days.\nAfter that , B completed the remaining work in 46 days .\nIn 46 days, word done by B =\n1\n80\nx 46 =\n23\n45\nRemaining work = 1 – 23/45\n= 17/45\nRemaining work is done by both A and B together =\n17/45x 90 x 80/90 + 80\n= 16 days\nC", "role": "assistant", "uuid": "7a2a3e3c-3d88-47b2-a710-5c3e4fea5908" } ]

{ "coherence": 2, "complexity": 2.1, "correctness": 1.02, "helpfulness": 1.2, "instruction-following": 2.51, "safety": 6.06, "verbosity": 0.96, "verbosity-coeff": -0.1094 }

[ { "content": "The average of a couple was 18Yrs when they were married 20Yrs ago.The avg age of\nthe couple and a child, who was born during the interval, is 26Yrs now. How old is the\nchild now ?\n\n['A)2 Yrs', 'B)4 Yrs', 'C)3 Yrs', 'D)1 Yrs', 'E)None of these']", "role": "user", "uuid": "258328d1-d988-482e-b649-d336a1cbbdc6" }, { "content": "(a+b-20-20)/2=18;\na+b=76;\na+b+c/3=26;\nsolving both c=2\nANSWER:A", "role": "assistant", "uuid": "6a369d30-5513-48fb-9369-0360adc2f4b0" } ]

{ "coherence": 2.66, "complexity": 1.89, "correctness": 1.95, "helpfulness": 1.93, "instruction-following": 2.8, "safety": 5.12, "verbosity": 1.25, "verbosity-coeff": -0.1179 }

[ { "content": "Light glows for every 16 seconds . How many times did it between 1:57:58 and 3:20:47 am\n\n['A)311', 'B)322', 'C)313', 'D)314', 'E)385']", "role": "user", "uuid": "869e8a27-21fa-411d-ab15-e7f54cf70f39" }, { "content": "the diff in sec between 1:57:58 and 3:20:47 is 4969 sec, 4969/16 = 310.\nso total 311 times light ll glow\nANSWER:A", "role": "assistant", "uuid": "bf717e20-5b6f-44db-b7a1-031547eb0451" } ]

{ "coherence": 2.72, "complexity": 1.43, "correctness": 2.27, "helpfulness": 2.43, "instruction-following": 3.41, "safety": 5.24, "verbosity": 1.71, "verbosity-coeff": -0.1142 }

[ { "content": "in a party 65% of women wearing black tshirts 50% of the total people in party wearing black t shirts ,then what is the ratio of male is to female.35% of the man wearing black t shirs. There are 120 people in the party.\n\n['A)1:1', 'B)1:2', 'C)1:3', 'D)1:4', 'E)1:5']", "role": "user", "uuid": "fc0b67f6-8d78-4753-998b-92697d3ab201" }, { "content": "suppose male =m,female=f,\nso, 65% of f+35% of m=50% (f+m)\nsolving,\n65% of f +35% of m=50% of f +50%of m\n15% of f=15% of m\nf/m=15%/15% =1:1\nANSWER:A", "role": "assistant", "uuid": "6245ff9d-49b5-4b9d-92b6-7847a936baaf" } ]

{ "coherence": 2.8, "complexity": 2.02, "correctness": 2.35, "helpfulness": 2.14, "instruction-following": 2.84, "safety": 4.62, "verbosity": 1.84, "verbosity-coeff": -0.111 }

[ { "content": "Find the greatest number that will divide 205, 626 and 588 leaving 5, 6 and 8 as remainders respectively\n\n['A)19', 'B)17', 'C)13', 'D)9', 'E)20']", "role": "user", "uuid": "ee24a8ea-9a7d-4d64-aff9-e73986a12872" }, { "content": "Explanation:\nAnswer will be HCF of (205-5, 626-6, 588-8)\nHCF of (200, 626, 580) = 20\nOption E", "role": "assistant", "uuid": "ac5e54a0-adc3-483e-ac2e-faf7a1b31f91" } ]

{ "coherence": 2.59, "complexity": 1.79, "correctness": 1.7, "helpfulness": 1.79, "instruction-following": 1.99, "safety": 6.14, "verbosity": 0.79, "verbosity-coeff": -0.1194 }

[ { "content": "If x = -12/5 and y = -6/7, what is the value of the expression -2x – y^2?\n\n['A)741/357', 'B)456/789', 'C)636/735', 'D)564/263', 'E)-636/735']", "role": "user", "uuid": "0c4ff8a0-d7da-4c1d-bb0f-99b927c6263d" }, { "content": "x = -12/15 and y = -6/7\n==> -2(-12/15) - (-6/7)^2 = 24/15 - 36/49 = 636/735\nAns: C", "role": "assistant", "uuid": "0826c485-220c-40ab-b265-512f4547a767" } ]

{ "coherence": 2.39, "complexity": 1.59, "correctness": 1.7, "helpfulness": 1.87, "instruction-following": 2.92, "safety": 4.85, "verbosity": 0.67, "verbosity-coeff": -0.1078 }

[ { "content": "In a certain code language, 'book' is coded as 'pencil', 'pencil' is coded as 'mirror', 'mirror' is coded as 'board'. Then what is useful to write on a paper?\n\n['A)2', 'B)6278', 'C)277', 'D)281', 'E)22']", "role": "user", "uuid": "212847fd-a0ff-4e74-9bc9-0da7e542bc08" }, { "content": "We use pencil to write on a paper but here pencil is coded as mirror. So, the answer is mirror.\nAnswer:A", "role": "assistant", "uuid": "6b7f0688-0425-49f8-a020-643919e5cca2" } ]

{ "coherence": 3.17, "complexity": 1.74, "correctness": 2.66, "helpfulness": 2.86, "instruction-following": 2.66, "safety": 4.85, "verbosity": 1.55, "verbosity-coeff": -0.0909 }

[ { "content": "A farmer is having a total of 20 fruits (apples or oranges). He made two type packets with these fruits. All the fruits are in either apple packets of orange packets. Apple Packets contain 3 apples each and Orange packets contain 2 oranges each.\nIf |apple packets| < 4\nThen How many packets of apples the farmer can have. When number of apple and orange packets are both positive integers above zero.\n\n['A)2', 'B)3', 'C)4', 'D)7', 'E)6']", "role": "user", "uuid": "0f579faf-18be-4244-8948-814b7ff67b89" }, { "content": "Let us start by understand the meaning of 4 > |Number of Apples|\n1) when we write |-x| this means the same as |x|.\n2) Mod is very easy concept if you solve mod question by considering as a distance. when a mod is written as |x-(a)| = b, this means the distance from point 'a' (both side left and right of 'a' on number line) is b. |x-(a)| < b means the distance is between the two extreme distance(left and right side of 'a' on number line, considering the max distance is 'b' from 'a' - as per this scenario.....hence the value of 'a' must be between these two extremes. |x-(a)| > b means the distance is greater than the distance of 'b'..i.e the value of a could be anywhere more than 'b'.\nNow come to the question. Let number of apple packets be ‘a’ and number of oranges packets be ‘b’. First its given |a| < 4 ==> |a-0| < 4 ==> the distance from zero is less than 4. So the point ‘a’ will be -3,-2,-1,0,1,2,3 as distance from 0 to these values is less than 4. Number of apple packets is above zero so possible values of ‘a’ left are 1,2,3.\nAs per the given information there are total of 20 fruits and they are in packets (3 per packet for apples and 2 per packets for oranges) so we can write it as follows:\n3a + 2b = 20 ==> b = 10 – (3*a)/2. If b is an integer then ‘a’ must be divisible by 2. If we take only those values of ‘a’ that are divisible by 2 then we are left with 2 only. So there are two packets of apples. If there are two packets of apples then b = 10 – (3*2)/2 ==> b = 7. So we have 7 packets of oranges and 2 packets of apples. So A is the answer. 7 packets (2 orange each) and 2 packets of apples (3 apples each) make 20 fruits in total.", "role": "assistant", "uuid": "eded9b56-e1c2-4ab4-8b9e-59d0c55aa296" } ]

{ "coherence": 2.39, "complexity": 2.1, "correctness": 2.18, "helpfulness": 2.29, "instruction-following": 2.41, "safety": 5.52, "verbosity": 1.94, "verbosity-coeff": -0.1119 }

[ { "content": "When n is divided by 19, the remainder is 7. Find thee difference between previous remainder and the remainder when 18n is divided by 9 ?\n\n['A)7', 'B)5', 'C)0', 'D)3', 'E)9']", "role": "user", "uuid": "bb274dcb-86ea-415e-aac7-71c927a23cba" }, { "content": "Let n=7 (leaves a remainder of 7 when divided by 19)\n18n = 18(7) =126, which leaves a remainder of 0 when divided by 9.\ndifference = 7 - 0 = 7.\nAnswer A", "role": "assistant", "uuid": "c3ce3d7f-4b83-4c58-99ca-5ff79f7864dd" } ]

{ "coherence": 3.02, "complexity": 1.77, "correctness": 2.16, "helpfulness": 2.37, "instruction-following": 2.41, "safety": 4.85, "verbosity": 1.23, "verbosity-coeff": -0.1712 }

[ { "content": "A person P takes 4 hrs time to complete a job and Q takes 6 hrs to complete the same job if they work together how much time will they require to complete the job?\n\n['A)1.2 hrs', 'B)1.8 hrs', 'C)2.4 hrs', 'D)3.0 hrs', 'E)None of these']", "role": "user", "uuid": "4bf50b79-9602-44b8-913b-41a5eae59b46" }, { "content": "Explanation:\nP’s 1 hr work =1/4\nQ’s 1 hr work =1/6\n(P+Q)’s 1 hr work= 1/4 +1/6 =5/12=> time = 12/5 =2.4 hrs\nAnswer: Option C", "role": "assistant", "uuid": "2a49061b-830d-44b5-bf23-7047d0f69388" } ]

{ "coherence": 3.04, "complexity": 1.39, "correctness": 2.96, "helpfulness": 3.13, "instruction-following": 3.52, "safety": 5.87, "verbosity": 0.84, "verbosity-coeff": -0.1053 }

[ { "content": "The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $45,000?\n\n['A)$43,848.', 'B)$40,000.', 'C)$38,976.', 'D)$39,679.', 'E)$36,796.']", "role": "user", "uuid": "3aa1d7e2-c648-4504-b468-3a5e8fa35c1c" }, { "content": "45,000 *1.16*.84= 43,848\nAnswer A", "role": "assistant", "uuid": "647ce5f8-ea6a-4fc1-9dad-7d816e9bfb9b" } ]

{ "coherence": 2.88, "complexity": 0.82, "correctness": 2.25, "helpfulness": 2.14, "instruction-following": 3.11, "safety": 4.73, "verbosity": 0.51, "verbosity-coeff": -0.1214 }

[ { "content": "A contractor hires 100 men to finish a job in 50 days. After 20 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)15', 'D)12', 'E)8']", "role": "user", "uuid": "17a44303-db1d-48aa-8ba0-b23fddf6270d" }, { "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 20 Days = 20* 2= 40% of work is finished. remaining is 60% ( which means if same 100 men were about to complete the job they would have required 30 more days)\nStep3: Let us assume all people have left job. therefore contractor hires 2n people. initially it was taking 30 days to compete for n people. at present 2n people are present to finish job. hence 15 more days.\nC", "role": "assistant", "uuid": "5c08af5b-87ab-4142-b665-ef7d9b3c70d6" } ]

{ "coherence": 2.55, "complexity": 1.33, "correctness": 1.88, "helpfulness": 1.8, "instruction-following": 2.47, "safety": 5.09, "verbosity": 1.04, "verbosity-coeff": -0.2116 }

[ { "content": "what is the remainder when 4.4!*5.5!*6.6!...........19*19! is divided by 64\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "ce14a8a7-7c8f-4b72-bf48-45fe439180a4" }, { "content": "(4*4*3*2*5*5!*6*5*.......*1*7*7!..........)/64=(int value) no remender there\nANSWER:A", "role": "assistant", "uuid": "228d0eef-14c5-4cdd-b255-f7902098ec32" } ]

{ "coherence": 2.68, "complexity": 1.75, "correctness": 1.92, "helpfulness": 1.78, "instruction-following": 1.38, "safety": 3.56, "verbosity": 0.97, "verbosity-coeff": -0.1169 }

[ { "content": "If the product of the integers from 1 to n is divisible by 1029, what is the least possible value of n?\n\n['A)7', 'B)14', 'C)21', 'D)28', 'E)35']", "role": "user", "uuid": "c481ca15-662f-48df-aa6b-e4ca132d9c10" }, { "content": "1029 = 7 x 7 x 7 x 3\nN must include at least 7, 2*7, and 3*7.\nThe answer is C.", "role": "assistant", "uuid": "adc102b1-addc-49f0-9d6a-7e535186473d" } ]

{ "coherence": 2.59, "complexity": 1.92, "correctness": 1.74, "helpfulness": 1.84, "instruction-following": 1.9, "safety": 5.48, "verbosity": 0.78, "verbosity-coeff": -0.2499 }

[ { "content": "In how many ways can the letters of the word ED456 be rearranged such that the numbers always appear together?\n\n['A)25', 'B)16', 'C)36', 'D)9', 'E)29']", "role": "user", "uuid": "f6b1f928-50f0-4311-bbbf-d5e1a024ca96" }, { "content": "ED456\n456 will come together as a group which can be arranged in 3!=6ways.\n456,E,D can be arranged in 3!=6 ways.\ntotal possible arrangements = 6*6=36 ways\nANSWER:C", "role": "assistant", "uuid": "44f89f1b-4a0d-4d71-83b3-a024febfc063" } ]

{ "coherence": 2.43, "complexity": 1.78, "correctness": 2.2, "helpfulness": 2.21, "instruction-following": 3.23, "safety": 4.77, "verbosity": 1.58, "verbosity-coeff": -0.1387 }

[ { "content": "Suppose you work for a manufacturing plant that pays you $12.50 an hour and $.16 for each widget you make. How many widgets must you produce in a 40 hour week to earn $800 (before payroll deductions)?\n\n['A)1800', 'B)1825', 'C)1850', 'D)1855', 'E)1875']", "role": "user", "uuid": "a7b022c4-99c7-4715-a08d-48e33c8e0157" }, { "content": "Hourly = $12.50/hour\nTotalHours = 40\nPieceWork = $0.16/widget\nTotalPieces = ????\nTotal Pay = (Hourly * TotalHours) + (PieceWork * TotalPieces)\nso, put it all together:\n$800 = ($12.50 * 40) + ($0.16 * Total Pieces)\nTotalPieces = ($800 - ($12.50*40)) / $0.16 = 1875 Widgets\nE. 1875", "role": "assistant", "uuid": "d182bb3f-377f-40c3-85ff-605dd65e33e5" } ]

{ "coherence": 3.21, "complexity": 1.09, "correctness": 2.61, "helpfulness": 2.84, "instruction-following": 2.94, "safety": 2.92, "verbosity": 1.02, "verbosity-coeff": -0.1196 }

[ { "content": "The average of runs of a cricket player of 10 innings was 36. How many runs must he make in his next innings so as to increase his average of runs by 4 ?\n\n['A)76', 'B)80', 'C)85', 'D)87', 'E)89']", "role": "user", "uuid": "97f9690f-0ca5-4646-bee7-c2441ef094ea" }, { "content": "Explanation:\nAverage = total runs / no.of innings = 36\nSo, total = Average x no.of innings = 36 x 10 = 360.\nNow increase in avg = 4runs. So, new avg = 36+4 = 40runs\nTotal runs = new avg x new no. of innings = 40 x 11 = 440\nRuns made in the 11th inning = 440 - 360 =80 Answer: B", "role": "assistant", "uuid": "9b794e9c-3b96-4812-ae68-c9758b0cadfb" } ]

{ "coherence": 3.02, "complexity": 1.65, "correctness": 2.45, "helpfulness": 2.9, "instruction-following": 3.43, "safety": 5.63, "verbosity": 0.77, "verbosity-coeff": -0.1561 }

[ { "content": "Mrs. Evans gave a test to her freshmen economics class, which has 25 students enrolled and 22 of them answered question 1 correctly. If 20 answered question 2 correctly and 3 did not take the test then how many answered both questions correctly?\n\n['A)30', 'B)20', 'C)23', 'D)17', 'E)19']", "role": "user", "uuid": "cf68269c-a36e-4eec-a46a-2a71da8808c8" }, { "content": "Total number of enrolled students = 25\nNumber of students who did not take test = 3\nHence, number of students who took test = 25 - 3 = 22\nNumber of students who answered Q2 correctly =20, therefore, all students who took test answered Q2 correctly.\nSo, number of students who answered Q1 correctly, also answered Q2 correctly = 20.\nNumber of students who answered both Q1 & Q2 correctly = 20.\nANSWER:B", "role": "assistant", "uuid": "085278c0-acf0-495f-8780-a1d35c2fc653" } ]

{ "coherence": 2.53, "complexity": 1.3, "correctness": 1.92, "helpfulness": 2.14, "instruction-following": 2.06, "safety": 5.2, "verbosity": 1.65, "verbosity-coeff": -0.1631 }

[ { "content": "When tossed, a certain six-sided die has an equal probability of landing on any of the six sides. If the die is tossed 4 times, what is the probability that it will land on the same side each time?\n\n['A)1/12', 'B)1/18', 'C)1/36', 'D)1/216', 'E)1/1296']", "role": "user", "uuid": "38f064c4-c906-436f-8d12-82fb2351c3f3" }, { "content": "On the first toss, the die will land on one of the sides.\nOn the second toss, the probability of landing on the same side is 1/6.\nOn the third toss, the probability of landing on the same side is 1/6.\nOn the fourth toss, the probability of landing on the same side is 1/6.\nP(same side four times)=1/6*1/6*1/6=1/216.\nThe answer is D.", "role": "assistant", "uuid": "2cefff65-aac9-4c6c-b150-dc0c4edb993d" } ]

{ "coherence": 2.96, "complexity": 1.52, "correctness": 2.37, "helpfulness": 2.47, "instruction-following": 3, "safety": 4.58, "verbosity": 1.35, "verbosity-coeff": -0.1646 }

[ { "content": "An apple tree has 30 apples. 10 apples have fallen off of the tree. How many apples remain on the tree?\n\n['A)20', 'B)1', 'C)0', 'D)5', 'E)100']", "role": "user", "uuid": "ec7924a4-5ee9-4c03-94c4-8c4b9fe149bd" }, { "content": "A. 20", "role": "assistant", "uuid": "5d20c168-3314-414b-aa16-c23078d4e2ba" } ]

{ "coherence": 3.33, "complexity": 0.13, "correctness": 2.98, "helpfulness": 3.23, "instruction-following": 2.86, "safety": 4.58, "verbosity": 0.49, "verbosity-coeff": -0.1082 }

[ { "content": "Find the odd man out\n15, 35, 45, 24 ,55, 65, 95\n\n['A)15', 'B)24', 'C)55', 'D)95', 'E)35']", "role": "user", "uuid": "9e39afea-c98a-4d8b-90cb-ad86e34f747f" }, { "content": "In the series, 24 is the number which is not divisible by 5.\nANSWER:B", "role": "assistant", "uuid": "4a038f6d-8d48-4a53-9ee8-7621a18ad1c3" } ]

{ "coherence": 3.04, "complexity": 1, "correctness": 2.96, "helpfulness": 3, "instruction-following": 3.09, "safety": 3.58, "verbosity": 1.09, "verbosity-coeff": -0.086 }

[ { "content": "A certain country is divided into 5 provinces. Each province consists entirely of Progressives and Traditionalists. If each province contains the same number of Traditionalists and the number of Traditionalists in any given province is 1/15 the total number of Progressives in the entire country, what fraction of the country is Traditionalist?\n\n['A)1/5', 'B)1/3', 'C)1/2', 'D)2/3', 'E)3/4']", "role": "user", "uuid": "cbcac10d-bed6-4e12-b146-6cb21865687a" }, { "content": "Let P be the number of Progressives in the country as a whole.\nIn each province, the number of traditionalists is P/15\nThe total number of traditionalists is 5P/15 = P/3.\nThe total population is P + P/3 = 4P/3\nP / (4P/3) = 3/4\nThe answer is E.", "role": "assistant", "uuid": "798c43a9-c342-4775-bb3c-138d2acad13e" } ]

{ "coherence": 3.25, "complexity": 1.9, "correctness": 2.57, "helpfulness": 2.76, "instruction-following": 2.61, "safety": 4.66, "verbosity": 0.93, "verbosity-coeff": -0.1932 }

[ { "content": "The C.P of 10 pens is equal to the S.P of 16 pens. Find his gain % or loss%?\n\n['A)loss 16 2/8%', 'B)loss 16 6/3%', 'C)loss 16 2/3%', 'D)loss 18 2/3%', 'E)loss 37.5%']", "role": "user", "uuid": "0a638987-e438-4cd4-ad7c-dc0aa0aa38bc" }, { "content": "10 CP = 16 SP\n16 --- 6 CP loss\n100 --- ? => 37.5% loss\nAnswer:E", "role": "assistant", "uuid": "353259e6-8ebc-43a8-b5f5-9f4b6498233d" } ]

{ "coherence": 2.84, "complexity": 1.58, "correctness": 2.51, "helpfulness": 2.49, "instruction-following": 3.27, "safety": 4.09, "verbosity": 0.67, "verbosity-coeff": -0.1105 }

[ { "content": "Find the number of zeros in the product 5 x 10 x 25 x 40 x 50 x 55 x 65 x 125 x 80\n\n['A)8', 'B)9', 'C)12', 'D)13', 'E)16']", "role": "user", "uuid": "0322f3af-b58c-4b74-8db3-c9d05435bb5a" }, { "content": "Explanation :\nFrom the question understand whether number of 2's are more or number of 5's are more...count the lesser one only...the number of zero will be equal to that as they will be responsible in creating zeros by being multiplied by 5\nAnswer : B", "role": "assistant", "uuid": "5b74be10-7a5e-43c8-b22f-b13ef53573c0" } ]

{ "coherence": 1.92, "complexity": 1.47, "correctness": 1.55, "helpfulness": 1.49, "instruction-following": 2.02, "safety": 6.84, "verbosity": 1.12, "verbosity-coeff": -0.1116 }

[ { "content": "If a(a + 2) = 48 and b(b + 2) = 48, where a ≠ b, then a + b =\n\n['A)-10', 'B)-9', 'C)-5', 'D)-4', 'E)-2']", "role": "user", "uuid": "715e120c-d41d-47ef-b35b-729910eb1d2e" }, { "content": "i.e. if a = 6 then b = -8\nor if a = -8 then b = 6\nBut in each case a+b = -8+6 = -2\nAnswer:B", "role": "assistant", "uuid": "8ffb1b6b-4400-4ee7-90b9-8ea7f26282dd" } ]

{ "coherence": 2.18, "complexity": 1.27, "correctness": 1.5, "helpfulness": 1.48, "instruction-following": 1.55, "safety": 4.85, "verbosity": 0.96, "verbosity-coeff": -0.1089 }

[ { "content": "The area of a triangle will be when a = 2m, b = 4m, c = 6m, a, b, c being lengths of respective sides?\n\n['A)3', 'B)7', 'C)5', 'D)6', 'E)4']", "role": "user", "uuid": "5ac3bbc0-05a8-4cc4-99b9-6cd6b697fa88" }, { "content": "S = (2 + 4 + 6)/2\n= 6\nAnswer: D", "role": "assistant", "uuid": "46a8bedd-ca72-4fd5-8458-a0fac54b1ca8" } ]

{ "coherence": 2.92, "complexity": 0.79, "correctness": 2.12, "helpfulness": 2.49, "instruction-following": 2.66, "safety": 5.75, "verbosity": 0.38, "verbosity-coeff": -0.0969 }

[ { "content": "A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.\n\n['A)15/7', 'B)4/17', 'C)7/18', 'D)19/6', 'E)7/15']", "role": "user", "uuid": "3f86ad99-3166-4a49-a18a-2237d0f0c4de" }, { "content": "Let S be the sample space\nThen n(S)=no of ways of drawing 2 balls out of (6+4)=10c2=(10*9)/(2*1)=45\nLet E=event of getting both balls of same colour\nThen n(E)=no of ways(2 balls out of six) or(2 balls out of 4)\n=(6c2+4c2)=(6*5)/(2*1)+(4*3)/(2*1)=15+6=21\nP(E)=n(E)/n(S)=21/45=7/15\nOption E", "role": "assistant", "uuid": "38ef264b-107b-4bc6-ada2-b589809a3d3c" } ]

{ "coherence": 3.02, "complexity": 1.67, "correctness": 2.57, "helpfulness": 2.66, "instruction-following": 3.72, "safety": 4.81, "verbosity": 1.5, "verbosity-coeff": -0.1207 }

[ { "content": "A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $20,000, what is the total profit?\n\n['A)$38,000', 'B)$42,000', 'C)$46,000', 'D)$50,000', 'E)$54,000']", "role": "user", "uuid": "6faafc8b-1521-4aa9-8534-000638b8c033" }, { "content": "A:B:C = 45000:63000:72000 which is a ratio of 5:7:8.\nLet the total profit be x.\nx * 8/20 = 20000\nx = 20000*20/8 = 50,000.\nThe answer is D.", "role": "assistant", "uuid": "18e2e76d-0173-4fb7-a3da-05e36beeae1f" } ]

{ "coherence": 3.02, "complexity": 1.6, "correctness": 2.8, "helpfulness": 2.96, "instruction-following": 3.56, "safety": 3.45, "verbosity": 0.86, "verbosity-coeff": -0.1555 }

[ { "content": "Express of the following as a fraction:\n25%\n\n['A)1/4', 'B)1/8', 'C)2/9', 'D)3/6', 'E)None of them']", "role": "user", "uuid": "4f9cae42-59df-4b1e-9826-05773a9f41d6" }, { "content": "25% = 25/100= 1/4.\nAnswer is A.", "role": "assistant", "uuid": "c86b44bf-307c-438d-845e-08e8772c8b52" } ]

{ "coherence": 3.43, "complexity": 1.79, "correctness": 3.62, "helpfulness": 3.41, "instruction-following": 3.52, "safety": 5.16, "verbosity": 1.46, "verbosity-coeff": -0.1016 }

[ { "content": "Without stoppages a train travels a certain distance with an average speed of 80 km/h and with stoppages with an average speed speed of 60 km/h. How many minutes per hour does the train stops ?\n\n['A)25 min', 'B)10 min', 'C)18 min', 'D)15 min', 'E)20 min']", "role": "user", "uuid": "458d3b50-2d4f-421b-80fc-88b6036dc489" }, { "content": "let us assume the distance is x km.\nif the train travels 80km/h without stopages then it takes (x/80) hour to rech.\nand with stopage it takes (x/60) hour.\nlet the train stops t min per hour.\nthen according to the question\n(x/80)=(x/60)+(t/60)*(x/60)\nthen t=15 min.\nANSWER:D", "role": "assistant", "uuid": "3d7fb108-4699-4610-8bd9-48cf7ff5bff5" } ]

{ "coherence": 2.76, "complexity": 1.62, "correctness": 2.35, "helpfulness": 2.31, "instruction-following": 2.8, "safety": 5.91, "verbosity": 1.5, "verbosity-coeff": -0.1399 }

[ { "content": "How many different subsets of the set {0, 1, 2, 3} do not contain 0?\n\n['A)A.3', 'B)B.7', 'C)C.8', 'D)D.2', 'E)E.4']", "role": "user", "uuid": "46643e24-13c5-4cb3-a62a-e6374d22bb00" }, { "content": "Number of subset\nSince we have 3 digits other than 0, we can take any numbers from the set of 3 to make a subset. Also it is a matter of selection and not arrangement.So we will consider combinations.\n3c1+3c2+3c3=7\nAnd one set is the NULL set having no elements in it so\n7+1=8.\nANSWER C.", "role": "assistant", "uuid": "4ca63822-3b12-4b8e-8c31-5656aabb1a78" } ]

{ "coherence": 2.35, "complexity": 1.51, "correctness": 1.77, "helpfulness": 1.85, "instruction-following": 2.43, "safety": 5.48, "verbosity": 1.27, "verbosity-coeff": -0.2091 }

[ { "content": "A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.\n\n['A)30', 'B)40', 'C)50', 'D)60', 'E)70']", "role": "user", "uuid": "7c94a8c2-6b8d-45b4-add5-3963816548d4" }, { "content": "Let C.P=100\nGain=25%\nS.P=125\nSupposed C.P=80\nGain=30%\nS.P=(130*80)/100=104\nDiff=(125-104)=21\nDiff 21 when C.P=100\nthen Diff 10.50 when C.P=(100*10.50)/21=50\nANSWER:C", "role": "assistant", "uuid": "c22b2dda-840e-4dd6-8482-bef5580cb01e" } ]

{ "coherence": 2.9, "complexity": 1.68, "correctness": 2.21, "helpfulness": 2.37, "instruction-following": 3.54, "safety": 6.06, "verbosity": 1.36, "verbosity-coeff": -0.1321 }

[ { "content": "Two trains are running in opposite directions with the same speed. If the length of each train is 180 m and they cross each other in 12 sec, then the speed of each train is?\n\n['A)54', 'B)26', 'C)36', 'D)99', 'E)27']", "role": "user", "uuid": "157697d7-eda3-40d9-8832-2ca01aa032ef" }, { "content": "Let the speed of each train be x m/sec.\nThen, relative speed of the two trains = 2x m/sec.\nSo, 2x = (180 + 180)/12 => x = 15\nSpeed of each train = 15 m/sec.\n= 15 * 18/5 =54 km/hr.\nAnswer: A", "role": "assistant", "uuid": "b8e09541-033f-4b1a-8642-b9bf5e2a00d7" } ]

{ "coherence": 3.25, "complexity": 1.76, "correctness": 2.86, "helpfulness": 3.11, "instruction-following": 4.05, "safety": 5.36, "verbosity": 1.81, "verbosity-coeff": -0.1119 }

[ { "content": "A local bank that has 20 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 20 codes?\n\n['A)3', 'B)4', 'C)7', 'D)6', 'E)5']", "role": "user", "uuid": "6c54c3fd-f52d-4496-8005-21398b554c74" }, { "content": "Pick any two integer.\nIntegers: 12\nCode: 11, 12, 21, 22 = 4 Codes\nAdd one more integer: 3\n13, 31, 33, 23, 32 = 5 Codes\nAdd one more integer: 4\n44, 14, 41, 24, 42, 34, 43 = 7 Codes\nAdd one more integer: 5\n55, 15, 51, 25, 52, 35, 53,54,45 = 9 Codes\nTotal = 25 Codes. Enough.\nAnswer: E", "role": "assistant", "uuid": "d1982307-0535-4d0f-8e0f-930430e81b67" } ]

{ "coherence": 2.21, "complexity": 1.17, "correctness": 1.66, "helpfulness": 1.76, "instruction-following": 2.18, "safety": 5.2, "verbosity": 0.84, "verbosity-coeff": -0.2242 }

[ { "content": "You collect coins. Suppose you start out with 18. Since you're nice, you give Sharon 3 coins. Since you're nice, you give Steven 4 coins. How many coins do you have at the end?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)11']", "role": "user", "uuid": "7631f2d7-547e-476d-93a1-a3e3034286a5" }, { "content": "Solution\nStart with 18 coins.\nSharon takes 3 coins from you: 18 - 3 = 15 coins.\nSteven takes 4 coins from you: 15 - 4 = 11 coins.\nSo you have 11 at the end.\nCorrect answer : E", "role": "assistant", "uuid": "808b5319-6122-45d5-969a-a9be857ed700" } ]

{ "coherence": 2.86, "complexity": 1.02, "correctness": 2.8, "helpfulness": 3, "instruction-following": 3.93, "safety": 5.05, "verbosity": 0.98, "verbosity-coeff": -0.1149 }

[ { "content": "During a certain week, a seal ate 50% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?\n\n['A)32', 'B)40', 'C)55', 'D)64', 'E)80']", "role": "user", "uuid": "1b997fe4-aaf8-4824-b20a-c55f290b90e9" }, { "content": "Total smelt = x.\nThen, 0.5*80+0.3(x-80)=0.4*x --> x=160 --> 0.4*x=64.\nAnswer: D.", "role": "assistant", "uuid": "3ff00823-a496-4588-a3d4-5eb98d941e51" } ]

{ "coherence": 2.92, "complexity": 1.25, "correctness": 2.41, "helpfulness": 2.33, "instruction-following": 3.29, "safety": 5.2, "verbosity": 0.54, "verbosity-coeff": -0.1504 }

[ { "content": "Students of three different classes appeared in common examination. Pass average of 10 students of first class was 55%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?\n\n['A)74%', 'B)75%', 'C)69%', 'D)72%', 'E)None']", "role": "user", "uuid": "104cffac-35f8-40ee-88ec-a65f26cb7f5e" }, { "content": "Solution:\nSum of pass students of first, second and third class,\n= (55% of 10) + (60% of 15)+ (80% of 25)\n= 5.5+9+20 = 34.5\nTotal students appeared,\n= 10+15+25 = 50\nPass average,\n= 34.5*100/50 = 69%.\nAnswer: Option C", "role": "assistant", "uuid": "1dbcea5c-919d-43af-83ed-4bbc4a291951" } ]

{ "coherence": 3.02, "complexity": 1.76, "correctness": 2.8, "helpfulness": 2.94, "instruction-following": 3.8, "safety": 6.06, "verbosity": 1.56, "verbosity-coeff": -0.1284 }

[ { "content": "A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?\n\n['A)3.6', 'B)7.2', 'C)8.4', 'D)10', 'E)12']", "role": "user", "uuid": "be877d83-f686-4938-b4f9-eaf470fb5d3e" }, { "content": "Explanation:\nSpeed =\t(600 / 5 X60)m/sec =2 m/sec.\nConverting m/sec to km/hr = (2 X 18/5)km/hr\n= 7.2 km/hr.\nANSWER IS B", "role": "assistant", "uuid": "e4422be7-6178-4d54-b882-3e767c4171bd" } ]

{ "coherence": 2.88, "complexity": 1.54, "correctness": 2.49, "helpfulness": 2.59, "instruction-following": 3.68, "safety": 4.36, "verbosity": 0.99, "verbosity-coeff": -0.1118 }

[ { "content": "What is the next number of the following sequence.\n3, 10, 13, 20, 23, 30,\n\n['A)28', 'B)29', 'C)30', 'D)33', 'E)36']", "role": "user", "uuid": "429e155d-e98e-4067-8de9-3241bcf14acc" }, { "content": "3\n3+7=10\n10+3=13\n13+7=20\n20+3=23\n23+7=30\n30+3=33\nANSWER:D", "role": "assistant", "uuid": "dd777307-f8d3-4cfe-906d-039e41c366a3" } ]

{ "coherence": 2.59, "complexity": 1.27, "correctness": 2.45, "helpfulness": 2.62, "instruction-following": 3.25, "safety": 4.29, "verbosity": 1.22, "verbosity-coeff": -0.1123 }

[ { "content": "If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 12), what is the value of x?\n\n['A)9', 'B)11', 'C)13', 'D)15', 'E)14']", "role": "user", "uuid": "6d4d0006-cb22-445f-93ce-f910ece0adde" }, { "content": "I am guessing the question is:\n(2 to the power x) - (2 to the power (x-2)) = 3 (2 to the power 12)\n2^x - 2^(x-2) = 3. 2^12\nHence x = 14.\nAnswer is E", "role": "assistant", "uuid": "b1109a71-4287-4d09-9383-7bd62c151592" } ]

{ "coherence": 2.76, "complexity": 1.73, "correctness": 1.97, "helpfulness": 2.06, "instruction-following": 2.1, "safety": 4.62, "verbosity": 0.66, "verbosity-coeff": -0.1252 }

[ { "content": "A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 200. How much did he have with him in the beginning?\n\n['A)s 200', 'B)s 500', 'C)s 300', 'D)s 450', 'E)s 550']", "role": "user", "uuid": "56406e82-841e-4a57-87f7-e8ba61f1c845" }, { "content": "Suppose the amount in the beginning was Rs ’x’\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\nBalance = 2x/3 - 2x/15 = Rs 8x/15\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\nTherefore 2x/5 = 200 = 500\nANSWER:B", "role": "assistant", "uuid": "7ac54e7a-1197-455a-a32f-2eec7611139f" } ]

{ "coherence": 2.62, "complexity": 1.63, "correctness": 2.33, "helpfulness": 2.57, "instruction-following": 2.84, "safety": 4.66, "verbosity": 1.63, "verbosity-coeff": -0.1173 }

[ { "content": "Find the average of the series : 220, 180, 328, 147 and 160?\n\n['A)230', 'B)200', 'C)250', 'D)201', 'E)207']", "role": "user", "uuid": "df8b5547-a616-47fc-8157-3aca2b8296df" }, { "content": "Average = (220 + 180 + 328 + 147 + 160)/5\n= 1035/5\n= 207\nAnswer: E", "role": "assistant", "uuid": "ce282785-8d2b-4e08-8c57-36fbd75e87eb" } ]

{ "coherence": 2.8, "complexity": 0.93, "correctness": 2.21, "helpfulness": 2.29, "instruction-following": 3.97, "safety": 5.28, "verbosity": 0.93, "verbosity-coeff": -0.1155 }

[ { "content": "A set S = {x, -8, -7, -6, 6, 8, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?\n\n['A)1', 'B)0', 'C)2', 'D)-1', 'E)Cannot be determined']", "role": "user", "uuid": "d54a9756-e831-4003-815d-11de1bb25760" }, { "content": "Median of the set = (-6+6)/2 = 0\nAs per statement, Mean of the set = 0\nMean of the set\n|y|- |x| +23-21 = 0 (where x is negative n y is positive)\n|y|- |x| = -2\nSo the absolute difference between two numbers is 2\nAnswer C", "role": "assistant", "uuid": "c3f70b41-8f32-4132-913c-b0863b6c7951" } ]

{ "coherence": 2.27, "complexity": 1.51, "correctness": 1.81, "helpfulness": 1.79, "instruction-following": 2.23, "safety": 4.81, "verbosity": 1.15, "verbosity-coeff": -0.1884 }

[ { "content": "How many positive 5-digit integers have the odd sum R of their digits?\n\n['A)9*10^2', 'B)9*10^3', 'C)10^4', 'D)45*10^3', 'E)9*10^4']", "role": "user", "uuid": "15c6ea05-536b-40dc-ac4d-5b739f131c67" }, { "content": "We are looking at numbers between 10000 and 99999 both inclusive.\nThere are 90000 numbers.\nNow for\n10000 : sum of digits is odd;\n10001 :sum of digits is even;\n10002 : sum of digits is odd ; so on and so forth. So every alternate number is such that the sum of digit is odd.\n(Exception for the above statement :\nWhen it is 10009 the sum is even and for 10010 again the sum is even; But if you look at 10019 :sum is odd; 10020 : sum is odd\nand this pattern continues so basically the number of odd sum of digits and even sum of digits are equal)\nThis means exactly half of the numbers will have odd sum of their digits. i.e 45000\nAnswer :D", "role": "assistant", "uuid": "d77978e0-604d-4c6f-9ef1-bf2abfa1db64" } ]

{ "coherence": 2.64, "complexity": 1.82, "correctness": 2.12, "helpfulness": 1.98, "instruction-following": 2.55, "safety": 6.69, "verbosity": 1.66, "verbosity-coeff": -0.2397 }

[ { "content": "A single letter is selected at random from the word 'MISSING'. The probability that it is a vowel is..??\n\n['A)2/11', 'B)2/7', 'C)4/11', 'D)3/7', 'E)1']", "role": "user", "uuid": "25301f63-db06-4043-ac9b-3afb7103c620" }, { "content": "total vowels = 2, total number of letters = 7\nso probability = 2/7\nANSWER:B", "role": "assistant", "uuid": "d14caee2-4426-436e-a8d3-fdcd7fbeba21" } ]

{ "coherence": 2.76, "complexity": 0.84, "correctness": 2.23, "helpfulness": 2.49, "instruction-following": 3.37, "safety": 4.54, "verbosity": 0.56, "verbosity-coeff": -0.0952 }

[ { "content": "A certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday(inc. the first day it was planted).\nif this plant grew by 30% b/w the 4th day and 10 th day after it was planted ,how many feet per day does the plant grow\n\n['A)a) 2', 'B)b) 4.5', 'C)c) 0.69', 'D)d) 5.5', 'E)e) 3']", "role": "user", "uuid": "6a64a33a-73cf-45f7-9886-19cb268ba3d4" }, { "content": "If the plant is 11 feet tall when it is planted, it will be 11 + k feet tall at the end of the day (where k is the constant length it grows by every day).\nSimilarly, at the end of the 4th day the plant must be 11 + 4k feet tall and at the end of the 10th day it must be 11 + 10k feet tall.\nTherefore 6k = 0.3 (11 + 4k)\n=> k = 0.69\nTherefore the plant grows by 0.69 feet every day.\nOption (C)", "role": "assistant", "uuid": "fa161359-7e63-4a35-bd33-1ad00ec96a60" } ]

{ "coherence": 2.98, "complexity": 1.63, "correctness": 1.89, "helpfulness": 2.16, "instruction-following": 2.29, "safety": 4.7, "verbosity": 0.87, "verbosity-coeff": -0.1114 }

[ { "content": "A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.\n\n['A)64%', 'B)65%', 'C)66%', 'D)67%', 'E)68%']", "role": "user", "uuid": "3322f8dc-ed33-43e8-bf53-19b7a1697d8f" }, { "content": "Explanation:\nLet the number be x,\nthen,\n5/3−3/5=16/15x\nError% =\n(16/15x∗3/5∗100)\nAnswer: Option A", "role": "assistant", "uuid": "504e622c-031a-49a4-ae8c-074cf56a3985" } ]

{ "coherence": 2.7, "complexity": 2.29, "correctness": 1.92, "helpfulness": 1.65, "instruction-following": 1.6, "safety": 4.4, "verbosity": 1.35, "verbosity-coeff": -0.1762 }

[ { "content": "The length of 3 rods are in the ratio 4 : 5 : 6. If the sum of the weights of the longest and the shortest rod is 10 metres more than the length of the third rod, what is the length of the shortest rod?\n\n['A)21m', 'B)20m', 'C)8m', 'D)18m', 'E)of these']", "role": "user", "uuid": "f1f5f82d-908e-4525-8af7-b58b16632002" }, { "content": "Let the length of the three rods be 4k, 5k and 6k respectively.\n4k + 6k = 5k + 10\n=> 5k = 10 => k = 2\nTherefore the weight of the lightest boy\n= 4k = 4(2) = 8 m.\nANSWER:C", "role": "assistant", "uuid": "70c93721-7e75-4941-bbdf-35bbc84f9a13" } ]

{ "coherence": 2.84, "complexity": 1.03, "correctness": 2.27, "helpfulness": 2.39, "instruction-following": 3.72, "safety": 4.44, "verbosity": 0.6, "verbosity-coeff": -0.1485 }

[ { "content": "If the sum of a number and its square is 182, What is the number?\n\n['A)16', 'B)77', 'C)25', 'D)87', 'E)13']", "role": "user", "uuid": "3d89024a-ad34-4859-a982-243af805f500" }, { "content": "Explanation:\nLet the integer be x.\nThen, x + x2 = 182\nx2 + x - 182 = 0\n(x + 14) (x – 13) = 0\nx = 13\nANSWER: E", "role": "assistant", "uuid": "e58949f7-9a13-4c19-8870-b595d1f386e3" } ]

{ "coherence": 2.96, "complexity": 1.6, "correctness": 2.31, "helpfulness": 2.64, "instruction-following": 3.43, "safety": 4.34, "verbosity": 0.86, "verbosity-coeff": -0.1517 }

[ { "content": "A coin is tossed live times. What is the probability that there is at the least one tail?\n\n['A)31/32', 'B)31/36', 'C)31/30', 'D)31/36', 'E)31/312']", "role": "user", "uuid": "527c8f27-a235-4605-bdc0-db86f4a0bf88" }, { "content": "Let P(T) be the probability of getting least one tail when the coin is tossed five times.\n= There is not even a single tail.\ni.e. all the outcomes are heads.\n= 1/32 ; P(T) = 1 - 1/32 = 31/32\nAnswer:A", "role": "assistant", "uuid": "3c4d16d4-4856-4a9a-9f1c-9bf00693b448" } ]

{ "coherence": 2.92, "complexity": 1.42, "correctness": 2.88, "helpfulness": 3.07, "instruction-following": 3.82, "safety": 4.46, "verbosity": 1.43, "verbosity-coeff": -0.1175 }

[ { "content": "A grocery store bought some mangoes at a rate of 5 for a dollar. They were separated into two stacks, one of which was sold at a rate of 4 for a dollar and the other at a rate of 6 for a dollar. What was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?\n\n['A)1:4', 'B)1:5', 'C)2:3', 'D)3:2', 'E)2:5']", "role": "user", "uuid": "11f180d4-d1c9-4ae6-93a3-056b02f8cfaf" }, { "content": "The cost price of a mango = 1/5 dollars.\nThe selling price of a mango from the first stack = 1/4 dollars --> the profit from one mango = 1/4 - 1/5 = 1/20 dollars.\nThe selling price of a mango from the second stack = 1/6 dollars --> the loss from one mango = 1/5 - 1/6 = 1/30 dollars.\nThe profit from one mango from the first stack is 4 times the loss from one mango from the second stack. the ratio is\n1/20*30/1= 3:2\nD", "role": "assistant", "uuid": "5190f6d9-bf55-482b-bf25-be7d4cdc0af0" } ]

{ "coherence": 2.88, "complexity": 1.9, "correctness": 2.1, "helpfulness": 2.16, "instruction-following": 2.74, "safety": 5.24, "verbosity": 1.22, "verbosity-coeff": -0.2239 }

[ { "content": "In a kilo meter race, if A gives B a 40 m start, A wins by 19 s. But if A gives B a 30 s start, B wins by 40 m. Find the time taken by B to run 5,000 m?\n\n['A)150 s', 'B)450 s', 'C)750 s', 'D)825 s', 'E)925 s']", "role": "user", "uuid": "1a8dbfdd-52e3-424a-8811-a3540a0aaf4c" }, { "content": "When B is given a 40 m start then B runs 960m in T secs and A runs 1000m in T-19 secs.\nWhen B is given a 30 second start then B runs 1000m in t secs and A runs 960m in t - 30 secs.\nAssume that the speed of A (Va) and B (Vb) is constant in both situations.\nThen Vb = 960 ÷ T = 1000 ÷ t, and Va = 1000 ÷ (T - 19) = 960 ÷ (t - 30)\nSo 960t = 1000T, and 1000t - 30000 = 960T - 18240. Then 40t = -40T + 11760, t = -T + 294.\nSubstituting for t in 960t = 1000T\ngives : -960T + 282240 = 1000T\n1960T = 282240\nT = 144\nB 's speed is 960 / T = 960 / 144 = 6.67 metres per second.\nAssuming the same constant speed to run 5000 metres then the time taken is\n5000 / 6.67 = 750 seconds\nANSWER:C", "role": "assistant", "uuid": "16f7ef15-72f2-489b-acf5-981174be0245" } ]

{ "coherence": 2.25, "complexity": 1.92, "correctness": 1.82, "helpfulness": 1.88, "instruction-following": 3.21, "safety": 4.23, "verbosity": 1.7, "verbosity-coeff": -0.1304 }

[ { "content": "Ratio between 2 numbers is 5 : 7 and their product is 560.what is the difference between 2 numbers?\n\n['A)6', 'B)7', 'C)8', 'D)9', 'E)2']", "role": "user", "uuid": "fdea6213-765f-41f6-a76e-b2a71547acb7" }, { "content": "Explanation:\nx/y = 5/7\nx × y = 560 ⇒ x = 560/y\nSubstituting this value in first equation, we get 560/yy=57560/yy=57 ⇒560y2=57560y2=57 ⇒ y = 28\nx = 20\nSo difference between the numbers could be\nx – y = –8\ny – x = 8\nAnswer: C", "role": "assistant", "uuid": "9bae0518-47c7-486c-aa2e-df41549803a6" } ]

{ "coherence": 2, "complexity": 2.25, "correctness": 1.32, "helpfulness": 1.21, "instruction-following": 2.18, "safety": 5.2, "verbosity": 1.14, "verbosity-coeff": -0.1133 }

[ { "content": "What will come in place of the x in the following Number series? 6, 12, x, 33 , 48\n\n['A)33', 'B)35', 'C)39', 'D)41', 'E)21']", "role": "user", "uuid": "60f02cf7-e415-4645-a028-138c8ca04b55" }, { "content": "The pattern is + 6, + 9, + 12, +15 ………..\nSo the missing term is = 12 + 9 = 21\nAnswer : E", "role": "assistant", "uuid": "e60390fc-c344-4e50-a55e-0ac69daab7b1" } ]

{ "coherence": 2.43, "complexity": 1.42, "correctness": 1.68, "helpfulness": 2.14, "instruction-following": 2.18, "safety": 3.64, "verbosity": 1.05, "verbosity-coeff": -0.0827 }