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[ { "content": "Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 90 players took part in that tournament.\nHow many matches were played?\n\n['A)99 matches.', 'B)89 matches.', 'C)77 matches.', 'D)66 matches.', 'E)55 matches.']", "role": "user", "uuid": "14fe7741-3bf6-4ce6-ab9b-a638217ee291" }, { "content": "Solution:\n89 matches.\nThe number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 89 matches were played.\nAnswer B", "role": "assistant", "uuid": "d16cb80f-1675-4570-b9c6-9ab961c27800" } ]

{ "coherence": 3.09, "complexity": 1, "correctness": 2.76, "helpfulness": 2.74, "instruction-following": 3.17, "safety": 5.05, "verbosity": 1.12, "verbosity-coeff": -0.0992 }

[ { "content": "If \"BEACH\" is given a code of 19, then what is the difference between \"SANDCASTLE\" and \"WAVES\"?\n\n['A)15', 'B)28', 'C)30', 'D)168', 'E)22']", "role": "user", "uuid": "e7c5ddbc-1065-48cf-83b1-fdd2954508ae" }, { "content": "Case – Codes : A - 1, B - 2, C - 3, D - 4, E - 5, F - 6, G - 7, H - 8, I - 9, J - 10, K - 11, L - 12, M - 13, N - 14, O - 15, P - 16, Q - 17, R - 18, S - 19, T - 20, U - 21, V - 22, W - 23, X - 24, Y - 25, Z - 26\nSANDCASTLE: 98\nWAVES: 70\nAnswer: B", "role": "assistant", "uuid": "560faeaa-a654-45e8-8292-6ab4d4de7892" } ]

{ "coherence": 1.82, "complexity": 1.04, "correctness": 1.05, "helpfulness": 1.11, "instruction-following": 1.66, "safety": 3.86, "verbosity": 1.4, "verbosity-coeff": -0.1093 }

[ { "content": "Two equal sums of money were invested, one at 4% and the other at 4.5%. At the end of 7 years, the simple interest received from the latter exceeded to that received from the former by 31.50. Each sum was :\n\n['A)1,200', 'B)600', 'C)750', 'D)900', 'E)None of these']", "role": "user", "uuid": "06c8bbe6-7ce2-4560-9e00-b35042a2bb7c" }, { "content": "Difference of S.I. = √31.50\nLet each sum be x. Then\nx×4 1/2×7 /100−x×4×7/100=31.50\nor 7⁄100x × 1⁄2 = 63⁄2\nor x = 900\nAnswer D", "role": "assistant", "uuid": "cf0518cf-f373-4a23-8500-756e7a67ee31" } ]

{ "coherence": 2.72, "complexity": 1.85, "correctness": 2.37, "helpfulness": 2.55, "instruction-following": 3.7, "safety": 5.12, "verbosity": 1.43, "verbosity-coeff": -0.1252 }

[ { "content": "Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is\n45 kmph. For how many minutes does the bus stop per hour?\n\n['A)12', 'B)11', 'C)10', 'D)9', 'E)20']", "role": "user", "uuid": "b8b219dc-c893-4cf7-a659-46e73610be87" }, { "content": "SPEED OF THE BUS EXCLUDING STOPPAGES = 54 KMPH\nSPEED OF THE BUS INCLUDING STOPPAGES = 45 KMPH\nLOSS IN SPEED INCLUDING STOPPAGES = 54-45 = 9 KMPH\nIN HOUR BUS COVERS 9 KM LESS DUE TO STOPPAGES\nHENCE DISTANCE/SPEED = 9/54 = 1/6 HR = 60/6 MIN = 10 MIN\nANSWER C", "role": "assistant", "uuid": "85979615-baf4-4642-8469-72ff7a1c8a78" } ]

{ "coherence": 2.74, "complexity": 1.29, "correctness": 2.82, "helpfulness": 2.88, "instruction-following": 3.66, "safety": 5.98, "verbosity": 1.5, "verbosity-coeff": -0.1382 }

[ { "content": "Of the mutual funds on a “select list,” 1/3 have 5-star ratings, and 2/5 of the remaining funds have 4-star ratings. If the remaining 400 funds on the list have 3-star ratings, how many funds are on the list?\n\n['A)500', 'B)750', 'C)1,000', 'D)1,200', 'E)1,500']", "role": "user", "uuid": "68a25ce4-a43e-4c59-ba56-deddeb28bfb1" }, { "content": "C\nFraction of 5- and 4-star funds: 1/3 + (2/5)*(2/3) = 5/15 + 4/15 = 9/15\nFraction of 3-star funds = 1 - 9/15 = 6/15\n(6/15)*Total = 400\nTotal = 1000", "role": "assistant", "uuid": "3eaf1501-8133-4cf7-942c-fa3b9b89243e" } ]

{ "coherence": 3.27, "complexity": 1.79, "correctness": 2.49, "helpfulness": 2.92, "instruction-following": 3.35, "safety": 4.01, "verbosity": 1.09, "verbosity-coeff": -0.1568 }

[ { "content": "A number Y is chosen at random from the numbers 1, -3, -1, 0, 1, 2, 3. What is the probability that |X|<3?\n\n['A)2/5', 'B)3/5', 'C)3/7', 'D)4/9', 'E)4/11']", "role": "user", "uuid": "923e17a6-75f1-4b0b-b00c-728a66ec6270" }, { "content": "|X||X| can take 7 values.\nTo get |X|<2|X|<2 ( i.e., −2<x<+2−2<x\n⇒ P(|X|<2)= Favourable CasesTotal CasesP(|X|<2)= Favourable CasesTotal Cases\n= 3/7\nC", "role": "assistant", "uuid": "47ab6a20-03bf-4223-a3d2-89b31f22f330" } ]

{ "coherence": 2.21, "complexity": 1.41, "correctness": 1.59, "helpfulness": 1.33, "instruction-following": 1.88, "safety": 5.09, "verbosity": 0.94, "verbosity-coeff": -0.2055 }

[ { "content": "In a certain code VOLITION is written as UMIEUKRR, MARTINET is written as LYOPJPMX. How is DESTROYS written in this code?\n\n['A)CCPPSQBW', 'B)CCPPSQBU', 'C)CCPPSQBV', 'D)CCPPSQBX', 'E)CCPPSQBZ']", "role": "user", "uuid": "9b386963-3e9d-4356-bb72-de7e7607db3c" }, { "content": "as per the sequence the\nans is D-1 = C\nE-2 = C\nS-3=P\nT-4=P\nR+1=S\nO+2=Q\nY+3=B\nS+4=W\nans is CCPPSQBW\nANSWER:A", "role": "assistant", "uuid": "141df2a6-fb30-4ba0-aac7-17bc352126c5" } ]

{ "coherence": 2.35, "complexity": 1.58, "correctness": 1.55, "helpfulness": 1.8, "instruction-following": 2.06, "safety": 4.07, "verbosity": 1.46, "verbosity-coeff": -0.1128 }

[ { "content": "What is the area of a square field whose diagonal of length 26 m?\n\n['A)287', 'B)269', 'C)338', 'D)200', 'E)230']", "role": "user", "uuid": "cb4982c4-0e9e-4dbb-8f7d-b7b8e4133432" }, { "content": "d2/2 = (26 * 26)/2\n= 338\nAnswer:C", "role": "assistant", "uuid": "7bc60a5d-43f9-4ee9-ba79-feb7ef6cc6f8" } ]

{ "coherence": 2.86, "complexity": 0.96, "correctness": 2.25, "helpfulness": 2.47, "instruction-following": 3.27, "safety": 6.34, "verbosity": 0.45, "verbosity-coeff": -0.145 }

[ { "content": "A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?\n\n['A)1.4', 'B)1.8', 'C)1.2', 'D)1.5', 'E)1.9']", "role": "user", "uuid": "8adc50b3-3374-4540-ad02-674a021bcbc9" }, { "content": "M = 4.5\nS = x\nDS = 4.5 + x\nUS = 4.5 + x\n4.5 + x = (4.5 - x)2\n4.5 + x = 9 -2x\n3x = 4.5\nx = 1.5\nAnswer:D", "role": "assistant", "uuid": "386ca17f-458e-42d0-80b9-aa9a40361e70" } ]

{ "coherence": 2.62, "complexity": 1.21, "correctness": 1.88, "helpfulness": 1.89, "instruction-following": 2.2, "safety": 3.99, "verbosity": 0.62, "verbosity-coeff": -0.1177 }

[ { "content": "Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?\n\n['A)1/2', 'B)2', 'C)3', 'D)5', 'E)6']", "role": "user", "uuid": "e5fc85ce-9c0b-45a0-aaa4-ed35ab291115" }, { "content": "Given rate at which A & B works at normal pace to complete 1 widget is (1/3).\nHence A's rate = B's rate = half of (1/3).\nHence A's rate is (1/6), so to complete 1 widget A requires 6 hours.\nANSWER:A", "role": "assistant", "uuid": "877c0130-1e44-4d5c-95fb-ed3cd3467f9f" } ]

{ "coherence": 2.47, "complexity": 1.36, "correctness": 1.71, "helpfulness": 1.84, "instruction-following": 2.06, "safety": 5.98, "verbosity": 0.96, "verbosity-coeff": -0.1752 }

[ { "content": "A person's present age is two-fifth of the age of his mother. After 8years, he will be one - half of the age of his mother. How old is the mother at present ?\n\n['A)25', 'B)40', 'C)32', 'D)45', 'E)28']", "role": "user", "uuid": "2e8ffcf7-9128-4d11-acfc-c011a71f9caa" }, { "content": "Let the mother's present age be x years\nThen the person's present age = 2x/5\n(2x/5)+8 = 1/2(x+8)\n2(2x+40) = 5 (x+8)\nx = 40\nAnswer is B", "role": "assistant", "uuid": "453e5abf-94ca-47bc-aa0d-a459159b59e0" } ]

{ "coherence": 3.23, "complexity": 1.76, "correctness": 2.78, "helpfulness": 2.82, "instruction-following": 3.52, "safety": 6.02, "verbosity": 1.08, "verbosity-coeff": -0.1193 }

[ { "content": "Find the compound interest on $1200 for 1year at 20% p.a. if CI is component yearly?\n\n['A)$120', 'B)$150', 'C)$240', 'D)$250', 'E)$300']", "role": "user", "uuid": "0a62cc34-5a12-4b75-af83-801285018c51" }, { "content": "A = P(1 + R/100)^T\n= 1200(1 + 20/100)^1\n= 1200*6/5\n=$1440\nCI = A-P = 1440-1200 = $240\nAnswer is C", "role": "assistant", "uuid": "27c70741-0b84-4e3a-a9b8-1885c6de3335" } ]

{ "coherence": 2.86, "complexity": 1.29, "correctness": 2.86, "helpfulness": 3.15, "instruction-following": 4.01, "safety": 4.46, "verbosity": 1.79, "verbosity-coeff": -0.1351 }

[ { "content": "60% of male in a town and 70% of female in a town are eligible to vote. out of which 70% of male and 60% of female who are eligible to vote voted for candidate A. what is the value of votes in % did A get?\n\n['A)22', 'B)221', 'C)288', 'D)2212', 'E)2211']", "role": "user", "uuid": "ecd18651-7ee4-4bf1-99e7-0bd23dab2436" }, { "content": "Let the ratio of men and women are 100 : k\nMale eligible votes = 60 and female eligible votes = 70% (k)\nNumber of males who voted for A = 70% (60) = 42\nNumber of females who voted for A = 60%(70% (K) = 42% (k)\nPercentage of votes got by A = 42+42100(K)60+70100(K)×100=4200+42K6000+70K×10042+42100(K)60+70100(K)×100=4200+42K6000+70K×100\nSo this value cannot be determined as the value of K is not known\nAnswer:\tB", "role": "assistant", "uuid": "611a6282-0b7c-4283-ad85-16d3694b207f" } ]

{ "coherence": 2.49, "complexity": 1.39, "correctness": 1.98, "helpfulness": 1.92, "instruction-following": 2.06, "safety": 6.06, "verbosity": 1.3, "verbosity-coeff": -0.1267 }

[ { "content": "A man can row 30 km downstream and 20 km upstream in 4 hours. He can row 45 km downstream and 40 km upstream in 7 hours. Find the speed of man in still water?\n\n['A)12.8 kmph', 'B)23.9 kmph', 'C)21.9 kmph', 'D)12.5 kmph', 'E)13.8 kmph']", "role": "user", "uuid": "ba68ae2d-8a96-46d9-860c-9757f7334539" }, { "content": "Let the speed of the man in still water be a kmph and let the speed of the stream be b kmph.\nNow 30/(a + b) + 20/(a - b) = 4 and 45/(a + b) + 40/(a - b)\n= 7\nSolving the equation, the speed of man in still water is\n12.5 kmph.\nAnswer: D", "role": "assistant", "uuid": "08f167e9-9154-429a-81ca-b376e1eb4bb5" } ]

{ "coherence": 3.04, "complexity": 1.38, "correctness": 2.25, "helpfulness": 2.35, "instruction-following": 3.45, "safety": 5.16, "verbosity": 0.74, "verbosity-coeff": -0.106 }

[ { "content": "It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench,\n25 m broad and 15 m deep can be dug in 30 days ?\n\n['A)400 m', 'B)200 m', 'C)100 m', 'D)89m', 'E)56m']", "role": "user", "uuid": "2c7fd690-0810-4e17-be0d-4610dcaadb4e" }, { "content": "Expl : More days, more length (Direct)\nLess breadth, more length (Indirect)\nMore depth, less length (Indirect\nDays 10 : 30;\nBreadth 25 : 50; : : 100 : x\nDepth 15 : 10;\n:. 10 * 25* 15 * x = 30 *50 * 10 *100\nx= (30*50*10*100)/10*25*15 = 400\nSo the required length = 400m\nAnswer: A", "role": "assistant", "uuid": "6dd527ad-9b3b-454b-861d-90315f0bb647" } ]

{ "coherence": 2.98, "complexity": 1.64, "correctness": 2.53, "helpfulness": 2.62, "instruction-following": 3.15, "safety": 5.16, "verbosity": 1.16, "verbosity-coeff": -0.1174 }

[ { "content": "The radius of a semi circle is 6.3 cm then its perimeter is?\n\n['A)32.7', 'B)32.4', 'C)32.5', 'D)32.9', 'E)32.2']", "role": "user", "uuid": "9bf528be-6346-446d-809e-75166d3289c0" }, { "content": "36/7 r = 6.3\n=32.4\nAnswer: B", "role": "assistant", "uuid": "7434874e-3c2e-44ce-a7f2-0786ca78d924" } ]

{ "coherence": 2.41, "complexity": 0.88, "correctness": 1.86, "helpfulness": 2.21, "instruction-following": 3, "safety": 5.48, "verbosity": 0.51, "verbosity-coeff": -0.0953 }

[ { "content": "Ms.James invested in Fund T and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund T paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund T. How much did Ms. Morris invest in Fund T?\n\n['A) $32,000', 'B) $36,000', 'C) $40,000', 'D) $42,000', 'E) $45,000']", "role": "user", "uuid": "c73ea3c7-b962-4247-99fb-aaa861c8acd5" }, { "content": "0.17B-0.23T = 200 | * 100\n17B-23T=20,000\nT+B=100,000\nB=100,000 - T\n17(100,000 - T) - 23T = 20,000\n1,700,000 - 17T - 23T = 20,000\n1,680,000 = 40T\ndivide by 40\nfirst two digits: 42...so answer is D.", "role": "assistant", "uuid": "3ca51b4a-1fdf-4d48-8ed6-a49742f30cd6" } ]

{ "coherence": 2.66, "complexity": 1.14, "correctness": 2.2, "helpfulness": 2.41, "instruction-following": 2.61, "safety": 4.46, "verbosity": 0.49, "verbosity-coeff": -0.1321 }

[ { "content": "In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein?\n\n['A)41', 'B)43', 'C)42', 'D)45', 'E)48']", "role": "user", "uuid": "c703475d-b992-4c44-a61e-c7babc2cb17e" }, { "content": "3X+4y=240\nby substitute through options 48 is correct\nANSWER:D", "role": "assistant", "uuid": "b216a0c1-ad1a-476f-bb54-6753a9d0b434" } ]

{ "coherence": 2.31, "complexity": 1.46, "correctness": 1.85, "helpfulness": 1.84, "instruction-following": 2.16, "safety": 6.3, "verbosity": 0.68, "verbosity-coeff": -0.111 }

[ { "content": "An Olympic diver received the following scores: 2, 4, 6, 8. The standard deviation of her scores is in which of the following ranges?\n\n['A)4.01 to 4.99', 'B)1.01 to 1.99', 'C)3.01 to 3.99', 'D)2.01 to 2.99', 'E)5.01 to 5.99']", "role": "user", "uuid": "bf763efa-6038-4624-bb31-df5d5fe1319a" }, { "content": "2+4+6+8/4=5\n∣2-5∣^2 =3^2 = 9\n∣4-5∣^2 =1^2 = 1\n∣6-5∣^2 =1^2 = 1\n∣8-5∣^2 =3^2 = 9\nsqrt 20/4 =2.24\nAnswer : D", "role": "assistant", "uuid": "e66138a7-d997-4cf1-b236-b096a9d27127" } ]

{ "coherence": 2.72, "complexity": 1.01, "correctness": 1.79, "helpfulness": 1.71, "instruction-following": 2.1, "safety": 5.12, "verbosity": 0.7, "verbosity-coeff": -0.1801 }

[ { "content": "Compound X contains elements A and B at an approximate ratio, by weight, of 2:10. Approximately how many grams of element B are there in 108 grams of compound X?\n\n['A)90', 'B)162', 'C)250', 'D)270', 'E)322']", "role": "user", "uuid": "3b3fd55e-b8cc-4ac3-aac9-80ac8aa3f75f" }, { "content": "total number of fractions =2+10=12\nelement B constitutes =10 out of 12 parts of X\nSo in 108 gms of X have 108*10/12=90 gms of B\nand 108-90=18 gms of A.\ncross check:- A/B = 18/90 =2/10 (as given)\nAns A", "role": "assistant", "uuid": "83b419f0-bdf8-45b6-9ad9-d768e22309db" } ]

{ "coherence": 2.86, "complexity": 1.16, "correctness": 2.39, "helpfulness": 2.31, "instruction-following": 2.51, "safety": 5.05, "verbosity": 1.04, "verbosity-coeff": -0.1665 }

[ { "content": "A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?\n\n['A)Rs. 45', 'B)Rs. 50', 'C)Rs. 55', 'D)Rs. 60', 'E)Rs. 40']", "role": "user", "uuid": "0b17e572-abec-40a6-bece-f4d5b9d2abb2" }, { "content": "A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9.\nC's rent = Rs. (175 x9/35) = Rs. 45.\nTHE CORRECT ANSWER IS A.", "role": "assistant", "uuid": "553db719-ef8e-4648-9a10-c43a9a279706" } ]

{ "coherence": 3, "complexity": 0.81, "correctness": 2.51, "helpfulness": 2.66, "instruction-following": 3.33, "safety": 5.24, "verbosity": 0.56, "verbosity-coeff": -0.116 }

[ { "content": "A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, find the sum?\n\n['A)337', 'B)299', 'C)277', 'D)646', 'E)271']", "role": "user", "uuid": "5c0850b7-5a96-4ad9-b766-57f2d31014b3" }, { "content": "840 = P [1 + (10*3)/100]\nP = 646\nAnswer: D", "role": "assistant", "uuid": "cacee4ad-41fd-45db-b4d8-f2fca10186fe" } ]

{ "coherence": 2.88, "complexity": 1.01, "correctness": 2.1, "helpfulness": 2.37, "instruction-following": 3.25, "safety": 5.67, "verbosity": 0.26, "verbosity-coeff": -0.1133 }

[ { "content": "A train travels from Albany to Syracuse, a distance of 120 miles, at the average rate of 40 miles per hour. The train then travels back to Albany from Syracuse. The total travelling time of the train is 5 hours and 24 minutes. What was the average rate of speed of the train on the return trip to Albany?\n\n['A)45', 'B)20', 'C)30', 'D)40', 'E)50']", "role": "user", "uuid": "cc5249a1-695e-419c-8d21-80a2f3c10828" }, { "content": "40*T =120 THEREFORE T = 120/40 =3\nON RETURN SPEED * ( 5.4 -3) =120 THEREFORE T = 120/2.4 =50\nE", "role": "assistant", "uuid": "9e3710f8-f4ec-43ba-a122-61023d1c7048" } ]

{ "coherence": 2.37, "complexity": 1.22, "correctness": 1.89, "helpfulness": 1.9, "instruction-following": 2.59, "safety": 5.16, "verbosity": 0.84, "verbosity-coeff": -0.1727 }

[ { "content": "If two sides of a triangle have lengths 3 and 5, which of the following could be the perimeter of the triangle?\nI. 9\nII. 15\nIII. 19\n\n['A)None', 'B)I only', 'C)II only', 'D)II and III only', 'E)I, II, and III']", "role": "user", "uuid": "9149017e-4b85-4db5-a9d8-859c1cccc970" }, { "content": "The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.\nTherefore:\n(5-3) < {third side} < (5+3).\n2 < {third side} < 8.\nPerimeter = {third side} + 3 + 5 = {third side} + 8.\n10 < {perimeter} < 16.\nAnswer: C.", "role": "assistant", "uuid": "bfa35ee7-0aab-4ffb-ae18-85dee08385bd" } ]

{ "coherence": 2.55, "complexity": 1.97, "correctness": 1.39, "helpfulness": 1.46, "instruction-following": 2.27, "safety": 5.44, "verbosity": 1.16, "verbosity-coeff": -0.2289 }

[ { "content": "Find the missing figures: 0.50% of ? = 0.12\n\n['A)16', 'B)18', 'C)20', 'D)22', 'E)24']", "role": "user", "uuid": "c8f97448-e93c-491a-ad57-344deb0993dd" }, { "content": "Let 0.50% of x = 0.12. Then , 0.50*x/100 = 0.12\nX= [(0.12*100)/0.50] = 24.\nAnswer is E.", "role": "assistant", "uuid": "f9704f36-8bae-4ce9-b39b-affbf3f10e1f" } ]

{ "coherence": 2.98, "complexity": 1.65, "correctness": 3, "helpfulness": 3.13, "instruction-following": 3.64, "safety": 4.19, "verbosity": 1.33, "verbosity-coeff": -0.0991 }

[ { "content": "Find the smallest number of five digits exactly divisible by 16,24,36 and 54.\n\n['A)10368', 'B)10638', 'C)10836', 'D)10846', 'E)None of them']", "role": "user", "uuid": "76b2417e-52c8-4c70-8d36-bca890a03aec" }, { "content": "Smallest number of five digits is 10000.\nRequired number must be divisible by L.C.M. of 16,24,36,54 i.e 432,\nOn dividing 10000 by 432,we get 64 as remainder.\nTherefore, Required number = 10000 +( 432 – 64 ) = 10368.\nAnswer is A.", "role": "assistant", "uuid": "389297c8-9bde-45af-b0dd-de90bdd8dbb7" } ]

{ "coherence": 2.78, "complexity": 2.27, "correctness": 2.37, "helpfulness": 2.33, "instruction-following": 2.9, "safety": 5.01, "verbosity": 1.42, "verbosity-coeff": -0.1858 }

[ { "content": "A man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?\n\n['A)3kmph', 'B)4kmph', 'C)5.1kmph', 'D)6kmph', 'E)7kmph']", "role": "user", "uuid": "4247fcb7-7788-4a57-9aec-72c5eef6de83" }, { "content": "M = 5.5\nS = 1.5\nDS = 7\nUS = 4\nAS = (2 * 7 * 4) /11 = 4\nAnswer:C", "role": "assistant", "uuid": "d0c7f3bc-ace3-48d3-bf9e-409e5dbfcba7" } ]

{ "coherence": 2.78, "complexity": 1.38, "correctness": 2, "helpfulness": 1.95, "instruction-following": 2.96, "safety": 5.52, "verbosity": 0.8, "verbosity-coeff": -0.1175 }

[ { "content": "What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?\n\n['A)64.19', 'B)64.12', 'C)62.1', 'D)64.1', 'E)64.11']", "role": "user", "uuid": "136c1551-bba2-44d4-88a1-2f632e773165" }, { "content": "S.I. = (1000 * 10 * 4)/100 = Rs. 400\nC.I. = [1000 * (1 + 10/100)4 - 1000] = Rs. 464.10 Difference = (464.10 - 400) = Rs. 64.10\nAnswer: D", "role": "assistant", "uuid": "10c09565-a648-4e75-a84d-7be93feee761" } ]

{ "coherence": 3.09, "complexity": 1.93, "correctness": 2.49, "helpfulness": 2.84, "instruction-following": 4.15, "safety": 5.75, "verbosity": 1.29, "verbosity-coeff": -0.1143 }

[ { "content": "Kunal walks 10 km towards North. From there he walks 6 Km towards South. Then, he walks 3 Km towards east. How far and in which direction is he with reference to his starting point ?\n\n['A)5 km north', 'B)5 km south', 'C)5 km east', 'D)5 km north-east', 'E)7 km south-east']", "role": "user", "uuid": "c3a7c7a2-d585-40a0-9a82-6dacc4162c4b" }, { "content": "Clearly, Kunal moves from A 10 Km northwards upto B, then moves 6 Km southwards upto C, turns towards east and moves 3 km upto D.\nThen AC = (AB-BC) = 4 Km\nSo AD is 5 Km also with reference to starting point Kunal's direction is North-East.\nANSWER D", "role": "assistant", "uuid": "028c86ed-6775-4594-ac4f-0905f2d15835" } ]

{ "coherence": 2.72, "complexity": 1.53, "correctness": 2.37, "helpfulness": 2.49, "instruction-following": 2.96, "safety": 6.73, "verbosity": 1.91, "verbosity-coeff": -0.1093 }

[ { "content": "What is the sum between the place values of two 3's in the numeral 63130\n\n['A)3111', 'B)300', 'C)3029', 'D)3030', 'E)3003']", "role": "user", "uuid": "b8dd6e85-0596-4cd4-8f43-a0388842e3b0" }, { "content": "Required sum = 3000+30 = 3030\nAnswer is D", "role": "assistant", "uuid": "707b79a9-8c40-4870-84d9-6b636021ff44" } ]

{ "coherence": 2.62, "complexity": 1.45, "correctness": 2.51, "helpfulness": 2.57, "instruction-following": 3.58, "safety": 4.97, "verbosity": 0.94, "verbosity-coeff": -0.106 }

[ { "content": "Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 42 yr. How old is E?\n\n['A)10 yr', 'B)40 yr', 'C)45yr', 'D)64 yr', 'E)NOne']", "role": "user", "uuid": "d8c5a5b3-04a1-4ffc-b276-668567e5aeea" }, { "content": "Solution:\nTotal present age of A, B, C and D,\n= (45*4)+(4*5) = 200 yr;\nTotal age present age of A, B, C, D and E,\n= 42*5 = 210 yr.\nSo, age of E = 10 yr.\nAnswer: Option A", "role": "assistant", "uuid": "fa87dbad-d1c5-49dc-b720-b04a0b4de9fd" } ]

{ "coherence": 2.84, "complexity": 2.08, "correctness": 2.47, "helpfulness": 2.59, "instruction-following": 3.04, "safety": 4.38, "verbosity": 1.02, "verbosity-coeff": -0.1149 }

[ { "content": "If population of certain city increases at the rate of 5%. If population in 1981 was 231525, then population in 1978 was?\n\n['A)120000', 'B)228788', 'C)266891', 'D)267689', 'E)200000']", "role": "user", "uuid": "6ca10b6a-0f1d-4c73-ae3d-545d2e4d5888" }, { "content": "X * (105/100) * (105/100) * (105/100) = 232525\nX = 231525/1.157625\nX = 200000\nAnswer:E", "role": "assistant", "uuid": "5f355106-6bfc-4417-8daf-d0f57132f270" } ]

{ "coherence": 2.88, "complexity": 1.08, "correctness": 2.33, "helpfulness": 2.43, "instruction-following": 3.21, "safety": 4.81, "verbosity": 0.95, "verbosity-coeff": -0.1165 }

[ { "content": "The average of ages of 10 persons in a club was 32. What should be the age of the new person joining in the club so as to increase the average by 4 ?\n\n['A)76', 'B)2366', 'C)299', 'D)277', 'E)221']", "role": "user", "uuid": "7fee1a6f-b9f6-44e0-ab3b-17e06487370e" }, { "content": "Correct Option: D\nExplanation:\nTotal age of 10 persons = 10 × 32 = 320\nTotal age of 11 persons = 11 × 36 = 396 (as the new average is 4 more than present average)\nSo the age of the person joining is = 396 - 320 = 76\nAnswer:A", "role": "assistant", "uuid": "718192d1-45eb-4475-9b17-41a582c1a9e4" } ]

{ "coherence": 3.07, "complexity": 1.55, "correctness": 2.68, "helpfulness": 2.94, "instruction-following": 3.91, "safety": 5.55, "verbosity": 1.15, "verbosity-coeff": -0.1391 }

[ { "content": "If f(f(n)) + f(n) = 2n+3, f(0) = 1 then f(2016) = ?\n\n['A)2017', 'B)2088', 'C)270', 'D)1881', 'E)1781']", "role": "user", "uuid": "6f4c1a0b-9ba6-4b6b-8f27-85e6a5c7c66c" }, { "content": "f (f(0)) + f(0) = 2(0) + 3 ⇒⇒ f(1) = 3-1 = 2, f(1) = 2\nf(f(1)) + f(1) = 2(1) + 3 ⇒⇒ f(2) = 5-2 = 3, f(2) = 3\nf(f(2)) + f(2) = 2(2) + 3 ⇒⇒ f(3) = 7-3 = 4, f(3) = 4\n..............\nf(2016) = 2017\nAns: A", "role": "assistant", "uuid": "e0099089-9c31-4ad5-be80-15fa64b0eb2c" } ]

{ "coherence": 2.92, "complexity": 1.99, "correctness": 2.2, "helpfulness": 2.33, "instruction-following": 3.27, "safety": 5.36, "verbosity": 0.62, "verbosity-coeff": -0.1244 }

[ { "content": "Ben and Shari have invited three other couples to their apartment for a game of charades. Everyone is to be split into two equal teams, but each team must consist of either two couples or no couples. How many different pairs of teams are possible?\n\n['A)11', 'B)14', 'C)22', 'D)35', 'E)70']", "role": "user", "uuid": "1914acd0-9df3-4f84-9653-ef2825c4dd67" }, { "content": "Ben and Shari can be paired with any of the other three couples, leaving the remaining two for the other team. So, the number of ways to split 4 couples into two teams is 3:\n{1, 2} - {3, 4}\n{1, 3} - {2, 4}\n{1, 4} - {2, 3}\nThe number of teams where there are no couples:\n{Ben, any from couple 2, any from couple 3, any from couple 4} and the remaining 4 people form team #2. The number of team for Ben = 2*2*2 = 8.\nTotal = 3 + 8 = 11.\nAnswer: A", "role": "assistant", "uuid": "e46d34e4-0dad-4a7f-864e-53dd4e207419" } ]

{ "coherence": 2.88, "complexity": 1.21, "correctness": 2.27, "helpfulness": 2.29, "instruction-following": 2.04, "safety": 5.24, "verbosity": 1.5, "verbosity-coeff": -0.2208 }

[ { "content": "Income and expenditure of a person are in the ratio 9 : 8. If the income of the person is Rs. 18000, then find his savings?\n\n['A)Rs.3600', 'B)Rs.3603', 'C)Rs.2000', 'D)Rs.3632', 'E)Rs.3602']", "role": "user", "uuid": "f125f988-5dea-4f5c-81bc-20430bc9cdfd" }, { "content": "Let the income and the expenditure of the person be Rs. 9x and Rs. 8x respectively.\nIncome, 9x = 18000 => x = 2000\nSavings = Income - expenditure = 9x - 8x = x\nSo, savings = Rs.2000\nAnswer:C", "role": "assistant", "uuid": "f92270ae-c603-4f21-8ede-c9f6e1fd72fd" } ]

{ "coherence": 3.21, "complexity": 1.39, "correctness": 2.82, "helpfulness": 3.02, "instruction-following": 4.03, "safety": 4.73, "verbosity": 1.22, "verbosity-coeff": -0.1223 }

[ { "content": "How many of the positive divisors of 480 are also multiples of 4 not including 480?\n\n['A)15', 'B)16', 'C)19', 'D)20', 'E)24']", "role": "user", "uuid": "55b2918a-7d2c-4029-8b51-22f5f229f48e" }, { "content": "480 = 2^6 * 3 * 5 = (4) * 2^3 * 3 * 5\nBesides (4), the exponents of 2, 3, and 5 are 3, 1, and 1.\nThere are (3+1)(1+1)(1+1) = 16 ways to make multiples of 4.\nWe must subtract 1 because one of these multiples is 480.\nThe answer is A.", "role": "assistant", "uuid": "227244ec-b9c3-46fd-952a-af612de21b66" } ]

{ "coherence": 2.8, "complexity": 1.85, "correctness": 2.04, "helpfulness": 1.98, "instruction-following": 2.39, "safety": 6.14, "verbosity": 1.24, "verbosity-coeff": -0.2535 }

[ { "content": "Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 30%, 30% and 10% savings. Assuming that they operate independently, what is the net saving achieved?\n\n['A)56%', 'B)64%', 'C)55.9%', 'D)68%', 'E)61%']", "role": "user", "uuid": "66be0b0d-6d01-4a3a-9cc0-895829af40ec" }, { "content": "If initial cost is Rs 100, then\nFinal cost will be 100*0.7*0.7*0.9 = Rs. 44.1\nsavings = 100-44.1=55.9\nso 55.9%\nANSWER:C", "role": "assistant", "uuid": "1d8538e1-836b-478c-a98d-f9f62778df77" } ]

{ "coherence": 2.51, "complexity": 1.53, "correctness": 2.06, "helpfulness": 2.04, "instruction-following": 3.45, "safety": 6.65, "verbosity": 1.33, "verbosity-coeff": -0.1308 }

[ { "content": "David obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics,Physics, Chemistry and Biology What are his average marks ?\n\n['A)75', 'B)77', 'C)28', 'D)29', 'E)26']", "role": "user", "uuid": "96c84753-a98a-4c8a-b54a-4cbe47f20549" }, { "content": "Explanation:\nAverage = (76 + 65 + 82 + 67 + 85 )/ 5 = 375/5 = 75.\nAnswer: A) 75", "role": "assistant", "uuid": "d0103898-3a22-4615-8644-67a8116930d6" } ]

{ "coherence": 3.5, "complexity": 0.91, "correctness": 3.48, "helpfulness": 3.64, "instruction-following": 4.13, "safety": 3.07, "verbosity": 1.03, "verbosity-coeff": -0.0879 }

[ { "content": "A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is?\n\n['A)24007', 'B)24000', 'C)24028', 'D)240011', 'E)240121']", "role": "user", "uuid": "405e7b42-ed68-45c1-a0f5-3d8841fa922d" }, { "content": "Ratio of investments of A and B is (70000 * 12) : (120000 * 6) = 7 : 6\nTotal profit = Rs. 52000\nShare of B = 6/13 (52000) = Rs. 24000\nAnswer:B", "role": "assistant", "uuid": "619460d5-f424-40ff-a2ad-abb7f69777c2" } ]

{ "coherence": 3.25, "complexity": 0.96, "correctness": 2.74, "helpfulness": 3.07, "instruction-following": 3.76, "safety": 4.54, "verbosity": 1.16, "verbosity-coeff": -0.124 }

[ { "content": "A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?\n\n['A)28 min past 7pm on wednesday', 'B)20 min past 7pm on wednesday', 'C)20 min past 8pm on wednesday', 'D)29 min past 7pm on wednesday', 'E)20 min past 5pm on wednesday']", "role": "user", "uuid": "168e8eea-6a5b-44c6-8cad-968a78a32eee" }, { "content": "Explanation:\nThis sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains min in a time of (7×24)+12 = 180 hours.\nTo show the correct tine, it has to gain 5 min.\nAnswer: B) 20 min past 7pm on wednesday\nSo the correct time will be shown on wednesdy at 7:20 PM", "role": "assistant", "uuid": "0e4f2b8a-7079-4211-91ed-0cdb697338d5" } ]

{ "coherence": 2.8, "complexity": 1.55, "correctness": 2.37, "helpfulness": 2.61, "instruction-following": 2.98, "safety": 5.16, "verbosity": 0.77, "verbosity-coeff": -0.1086 }

[ { "content": "The average marks of a class of 20 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?\n\n['A)44.28', 'B)54.28', 'C)34.28', 'D)64.28', 'E)74.28']", "role": "user", "uuid": "039433dd-baad-41e3-9a25-d7f33fe782c7" }, { "content": "Sum of the marks for the class of 20 students = 20 * 40 = 800\nSum of the marks for the class of 50 students = 50 * 60 = 3000\nSum of the marks for the class of 70 students =\n800 + 3000 = 3800\nAverage marks of all the students = 3800/70 = 54.28\nANSWER:B", "role": "assistant", "uuid": "b0768b5d-846d-4ed7-8581-f04d146404c9" } ]

{ "coherence": 2.96, "complexity": 1.79, "correctness": 2.59, "helpfulness": 2.84, "instruction-following": 4.25, "safety": 4.54, "verbosity": 1.67, "verbosity-coeff": -0.1218 }

[ { "content": "This year, MBB Consulting fired 10% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?\n\n['A)99%', 'B)100.0%', 'C)102.8%', 'D)104.5%', 'E)105.0%']", "role": "user", "uuid": "76535125-87c6-4802-944e-5e33f9bc51e0" }, { "content": "100 employees getting 1000$ avg, so total salary for 100 ppl = 100000\n10% reduction in employees lead to 90 employees and a salary increase of 10% of previous avg salary\nThus the new avg salary is = 10%(1000)+1000 = 1100\nso total salary of 90 employees is 90*1100 = 99000\nNow the new salary is more than previous salary by x%. x = (99000/100000)*100 = 99%\nSo the Answer is A", "role": "assistant", "uuid": "f0466979-ad6e-46b0-ac77-fc9a24acc29f" } ]

{ "coherence": 2.59, "complexity": 2.27, "correctness": 2.23, "helpfulness": 2.2, "instruction-following": 2.35, "safety": 5.59, "verbosity": 1.97, "verbosity-coeff": -0.1567 }

[ { "content": "if a@b = a * b^(1/2) then 4@9 = ?\nself made\n\n['A)12', 'B)6', 'C)3', 'D)8', 'E)4']", "role": "user", "uuid": "d88c6468-bd24-4290-a2dd-7956b5860116" }, { "content": "a@b = a * b^(1/2)\n4@9 = 4*9^(1/2) = 4*3 = 12\nCorrect Option: A", "role": "assistant", "uuid": "c4c53135-017d-4d21-9403-ad7ec870ebae" } ]

{ "coherence": 3.58, "complexity": 1.79, "correctness": 3.45, "helpfulness": 3.54, "instruction-following": 4.03, "safety": 4.66, "verbosity": 1.29, "verbosity-coeff": -0.1155 }

[ { "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. 35000. What was Simran's share in the profit?\n\n['A)Rs. 9423', 'B)Rs. 10,250', 'C)Rs. 12,500', 'D)Rs. 15,000', 'E)None of these']", "role": "user", "uuid": "a132e112-f8aa-4b8e-b680-973a60172915" }, { "content": "Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4\nSimran's share = 35000 * 3/7 = Rs. 15000\nANSWER:D", "role": "assistant", "uuid": "55336f4e-25f6-49a1-ae5e-c5b9330f662c" } ]

{ "coherence": 2.88, "complexity": 1.38, "correctness": 2.37, "helpfulness": 2.61, "instruction-following": 3.62, "safety": 5.36, "verbosity": 1.16, "verbosity-coeff": -0.111 }

[ { "content": "Ajay can ride 50km in 1 hour. In how many hours he can ride 1250km?\n\n['A)10hrs', 'B)15hrs', 'C)20hrs', 'D)25hrs', 'E)18hrs']", "role": "user", "uuid": "794eaf8a-33e1-41ce-80ae-7bcc3ed5557e" }, { "content": "1 hour he ride 50km\nhe ride 1250km in = 1250/50 * 1 = 25hours\nAnswer is D", "role": "assistant", "uuid": "ee3f40c8-88c1-4677-ac3d-b37cca81aaee" } ]

{ "coherence": 3.04, "complexity": 1.43, "correctness": 3.02, "helpfulness": 3.02, "instruction-following": 3.07, "safety": 5.09, "verbosity": 1.23, "verbosity-coeff": -0.1162 }

[ { "content": "If grapes are 92% water and raisins are 20% water, then how much did a quantity of raisins, which currently weighs 13 pounds, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.)\n\n['A)25 pounds', 'B)46 pounds', 'C)92 pounds', 'D)130 pounds', 'E)146 pounds']", "role": "user", "uuid": "78801922-9acf-4057-a596-2665adb7244a" }, { "content": "Since only water evaporates, then the weight of pulp (non-water) in grapes and raisins is the same. Thus 0.08*{weight of grapes}=0.8*{weight of raisins} --> 0.08x = 0.8*13 --> x = 130.\nAnswer: D.", "role": "assistant", "uuid": "84ceb0a6-f257-4d4f-a1ba-36a4277a6d36" } ]

{ "coherence": 3.09, "complexity": 1.35, "correctness": 2.31, "helpfulness": 2.47, "instruction-following": 2.96, "safety": 6.06, "verbosity": 0.42, "verbosity-coeff": -0.1811 }

[ { "content": "A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set?\n\n['A)33', 'B)35', 'C)38', 'D)48', 'E)75']", "role": "user", "uuid": "50a384c6-5745-46f9-af00-5f28c1b0db67" }, { "content": "The average of 7 numbers is 23 --> the sum of these numbers is 7*23=161;\nThe median of 7 numbers is 23 --> 23 is the middle term: {*, *, *, 23, *, *, *};\nThe largest value is equal to 15 more than 4 times the smallest number --> say the smallest number is x then the largest number would be 4x+15, so our set is {x, *, *, 23, *, *, 4x+15};\nNow, in order to maximize the range we need to make the second and the third numbers equal to x and the fifth and sixth numbers equal to 23, so the set should be {x, x, x, 23, 23, 23, 4x+15}.\nSince the sum is 161 then x+x+x+23+23+23+4x+15=161 --> x=11.\nThe range is (4x+15)-x=3x+15=48.\nAnswer: D.", "role": "assistant", "uuid": "d9a5b611-6191-4007-8806-df7744778fcb" } ]

{ "coherence": 3.15, "complexity": 1.61, "correctness": 2.33, "helpfulness": 2.47, "instruction-following": 3, "safety": 5.4, "verbosity": 1.04, "verbosity-coeff": -0.1649 }

[ { "content": "julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $120 and $126 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?\n\n['A)600', 'B)720', 'C)1080', 'D)1200', 'E)1440']", "role": "user", "uuid": "ac95ec86-745f-43e6-9c2a-6409d1fd7b80" }, { "content": "$120 for 2 years = $60 per year.\nExtra $6 yearned with the compound interest is the percent yearned on percent. So, $6 is yearned on $60, which means that the interest = 10%.\nThis on the other hand means that half of the savings = 60*10 = $600. Twice of that = $1,200.\nAnswer: D.", "role": "assistant", "uuid": "de4b5d73-5ac5-42b0-babf-ad63d2ed1da9" } ]

{ "coherence": 3.02, "complexity": 1.29, "correctness": 2.43, "helpfulness": 2.92, "instruction-following": 3.19, "safety": 4.25, "verbosity": 0.83, "verbosity-coeff": -0.166 }

[ { "content": "Vijay went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?\n\n['A)19.7', 'B)20.1', 'C)21.4', 'D)21.7', 'E)21.8']", "role": "user", "uuid": "cadf6621-8049-4de9-adcc-ab279b11f63f" }, { "content": "Total cost of the items he purchased = Rs.25\nGiven that out of this Rs.25, 30 Paise is given as tax\n=> Total tax incurred = 30 Paise = Rs.30/100\nLet the cost of the tax free items = x\nGiven that tax rate = 6%\n∴ (25−30/100−x)6/100 = 30/100\n⇒ 6(25 −0.3 −x) = 30\n⇒ (25 − 0.3 − x) = 5\n⇒ x = 25 − 0.3 − 5 = 19.7\nA)", "role": "assistant", "uuid": "66640348-9c34-40d3-884d-dd1a46663ee6" } ]

{ "coherence": 2.78, "complexity": 1.68, "correctness": 2.06, "helpfulness": 2.23, "instruction-following": 3.45, "safety": 4.73, "verbosity": 1.31, "verbosity-coeff": -0.1482 }

[ { "content": "Susan rolls 4 six-sided dice at once to win a bet with her neighbour Jeff. If all 4 dice return the same number after only one roll, Susan wins her bet. What is the probability that Susan LOSES the bet?\n\n['A)Less than 50%', 'B)Between 50% and 70%', 'C)Between 70% and 90%', 'D)Between 90% and 99%', 'E)Greater than 99%']", "role": "user", "uuid": "ed4ecef9-f776-41b5-8b24-1203befa61a7" }, { "content": "The acceptable rolls are all of the Quad-tuples: 1111, 2222, 3333, 4444, 5555, 6666. Thus there are six possibilities. The four dice can roll 6*6*6*6 (6^4) number of ways. The probability that Susan wins the bet is: 6/6^4 = 1/6^3 = 0.0046 = 0.46%.\nTherefore probability that Susan loses is 1 - probability of Susan winning:\n1 - 0.46% = 99.5% > 99%\nAnswer: E.", "role": "assistant", "uuid": "d1c331a9-ba05-4240-b7da-4f9d26976ef8" } ]

{ "coherence": 2.53, "complexity": 1.46, "correctness": 1.75, "helpfulness": 1.78, "instruction-following": 2.49, "safety": 5.12, "verbosity": 1.26, "verbosity-coeff": -0.1705 }

[ { "content": "If the radius of a circle is increased by 10% then the area is increased by:\n\n['A)44%', 'B)120%', 'C)144%', 'D)40%', 'E)21%']", "role": "user", "uuid": "e468705d-a22c-49a7-8322-c863dfd7d15a" }, { "content": "initially A=pi*r2\nnow R2=110/100r\nthen area=Pi*(110R/100)2\narea=121R/100\nthat is area increases from 100 to 121=increase in area=21%\nANSWER:E", "role": "assistant", "uuid": "47d3fc23-b186-4660-b5a8-885f804e29d2" } ]

{ "coherence": 2.49, "complexity": 1.5, "correctness": 2.16, "helpfulness": 2.08, "instruction-following": 2.62, "safety": 5.2, "verbosity": 1.45, "verbosity-coeff": -0.0938 }

[ { "content": "The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\n\n['A)500', 'B)342', 'C)250', 'D)362', 'E)879']", "role": "user", "uuid": "285a2b9d-7619-4982-9157-d8dbcfc407ef" }, { "content": "Explanation:\n400*(90/100)*(95/100) = 342\nAnswer:B", "role": "assistant", "uuid": "cd5379de-468c-470a-a562-a74d0d13312b" } ]

{ "coherence": 3.09, "complexity": 0.72, "correctness": 2.9, "helpfulness": 3.13, "instruction-following": 4.19, "safety": 4.93, "verbosity": 0.96, "verbosity-coeff": -0.0984 }

[ { "content": "Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 9:00 am and Pipe B at 10:00 am, at what time will the pool be full?\n\n['A)19:00', 'B)17:00', 'C)16:00', 'D)18:00', 'E)20:00']", "role": "user", "uuid": "6e0d0816-560a-4609-a901-3bfc68496e55" }, { "content": "Pipe A fills the pool in 4 hrs.\n1 hour's work : 1/4\nPipe B empties the pool in 6 hrs.\n1 hour's work : 1/6\nTogether if they work, 1 hour's work = 1/4 -1/6 = 1/12\nGiven : Pipe A started at 9:00 a.m and Pipe B at 10:00 a.m\nPool filled after 1 hour by Pipe A : 1/4 or 3/12\nAfter 10:00 a.m\nPool filled after 1 hour with both the pipes on : 1/12\nPool filled after 9 hours with both pipes on : 9/12\nPool filled in 1 hour + Pool filled in 9 hours = 3/12 +9/12 =1\nTherefore, it takes 10 hrs to fill the pool\nAs Pipe A started at 9:00 a.m, pool is full at 19:00 hrs\nAnswer : A", "role": "assistant", "uuid": "05b84baa-768f-46e8-bda7-ca98704de9a6" } ]

{ "coherence": 3, "complexity": 1.9, "correctness": 2.74, "helpfulness": 2.96, "instruction-following": 3.31, "safety": 5.05, "verbosity": 1.87, "verbosity-coeff": -0.1156 }

[ { "content": "The price of lunch for 12 people was $207 including a 15% gratuity for service. What was the average price per person, EXCLUDING the gratuity?\n\n['A)11.73', 'B)12', 'C)13.8', 'D)14', 'E)15']", "role": "user", "uuid": "138337ec-1be3-43a5-bda0-a596f58ffac6" }, { "content": "Clearly E is the answer\nI used POE here\nLets consider option (E)\n12*15= 180 now 180(115/100)=207\n=> possible ANSWER IMO E", "role": "assistant", "uuid": "b6519221-8a3a-44e4-b6a9-f563858ee59a" } ]

{ "coherence": 2.51, "complexity": 1.16, "correctness": 1.92, "helpfulness": 1.74, "instruction-following": 1.48, "safety": 5.52, "verbosity": 0.96, "verbosity-coeff": -0.1563 }

[ { "content": "A and B can do a piece of work in 10 days, B and C in 15 days, C and A in 12 days. How long will C take to do it?\n\n['A)70 days', 'B)55 days', 'C)24 days', 'D)40 days', 'E)11 days']", "role": "user", "uuid": "ad6c80f8-7d0e-475d-8084-a464a08c509f" }, { "content": "2c = 1/15+ 1/12– 1/10 = 1/20\nc = 1/40 => 40 days\nAnswer: D", "role": "assistant", "uuid": "da1343a0-7c37-4232-9805-3b0a25190528" } ]

{ "coherence": 2.57, "complexity": 1.29, "correctness": 2.23, "helpfulness": 2.45, "instruction-following": 3.29, "safety": 6.69, "verbosity": 0.41, "verbosity-coeff": -0.1125 }

[ { "content": "A train running at the speed of 60 km/hr crosses a pole in 3 seconds. Find the length of the train.\n\n['A)60', 'B)50', 'C)75', 'D)100', 'E)120']", "role": "user", "uuid": "4d2bb14e-46b3-47ee-820c-8824567e516e" }, { "content": ":\nSpeed = 60*(5/18) m/sec = 50/3 m/sec\nLength of Train (Distance) = Speed * Time\n(50/3) * 3 = 50 meter\nAnswer:B", "role": "assistant", "uuid": "d3e5fd49-058f-44bc-a0dd-248c5f5bcf1c" } ]

{ "coherence": 2.61, "complexity": 1.27, "correctness": 2.47, "helpfulness": 2.62, "instruction-following": 3.7, "safety": 5.91, "verbosity": 1.07, "verbosity-coeff": -0.116 }

[ { "content": "A company produces 72000 bottles of water everyday. If a case can hold 10 bottles of water .How many cases are required by the company to hold its one day production\n\n['A)2000', 'B)4500', 'C)5000', 'D)7200', 'E)9000']", "role": "user", "uuid": "3244e827-eb06-410f-b146-5a28b3a9d8af" }, { "content": "Number of bottles that can be held in a case =10\nNumber of cases required to hold 72000 bottles = 72000/10=7200 cases.\nSo the answer is D =7200", "role": "assistant", "uuid": "dcb1c486-e0d5-4003-8ab2-03ebf56bb645" } ]

{ "coherence": 3.23, "complexity": 1.4, "correctness": 2.98, "helpfulness": 3.17, "instruction-following": 3.21, "safety": 4.97, "verbosity": 1.26, "verbosity-coeff": -0.0917 }

[ { "content": "Find the value of 72519 x 9999 = m?\n\n['A)234567745', 'B)674225565', 'C)570909643', 'D)725117481', 'E)768965324']", "role": "user", "uuid": "1ab0c49e-6389-401f-a21e-117f7faa1ba4" }, { "content": "72519 x 9999 = 72519 x (10000 - 1)\n= 72519 x 10000 - 72519 x 1\n= 725190000 - 72519\n= 725117481\nD", "role": "assistant", "uuid": "4ee452e8-2c2f-4c2d-8516-a93669e1c37a" } ]

{ "coherence": 3.15, "complexity": 0.9, "correctness": 2.31, "helpfulness": 2.66, "instruction-following": 3.8, "safety": 4.01, "verbosity": 0.96, "verbosity-coeff": -0.087 }

[ { "content": "A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?\n\n['A)65 seconds', 'B)86 seconds', 'C)40 seconds', 'D)43 seconds', 'E)15 seconds']", "role": "user", "uuid": "6db99a13-af39-4df5-977f-17634c49eb1c" }, { "content": "Speed = 45 Km/hr = 45*(5/18) m/sec = 25/2 m/sec\nTotal distance = 360+140 = 500 meter\nTime = Distance/speed\n= 500 * (2/25) = 40 seconds\nAnswer: C", "role": "assistant", "uuid": "765abb4a-1060-4548-95e5-47be470d3d25" } ]

{ "coherence": 2.76, "complexity": 1.88, "correctness": 2.43, "helpfulness": 2.57, "instruction-following": 4.11, "safety": 6.02, "verbosity": 1.69, "verbosity-coeff": -0.1194 }

[ { "content": "If x and y are positive, which of the following must be greater that 1/sqrt(x + y)?\nI. sqrt(x + y)/2x\nII. [sqrt(x) + sqrt(y)]/(x + y)\nIII. [sqrt(x) - sqrt(y)]/(x + y)\n\n['A)None', 'B)I only', 'C)II only', 'D)I and II', 'E)III and II']", "role": "user", "uuid": "d17f9daa-d466-40a2-b415-5efba28cb574" }, { "content": "solving i ) Y > X ( which could be true or false)\nsloving ii) 2 Sqrt(xy) > 0 ( which is true-given x and y are positive)\nsolving iii) -2 Squrt(xy) > 0 ( which is false)\nTherefore C should be the answer.", "role": "assistant", "uuid": "15aeaa79-7be9-473e-8d6e-92d6d62c0cc9" } ]

{ "coherence": 2.57, "complexity": 2.2, "correctness": 1.33, "helpfulness": 1.27, "instruction-following": 1.12, "safety": 5.2, "verbosity": 0.95, "verbosity-coeff": -0.2408 }

[ { "content": "A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?\n\n['A)Rs.59', 'B)Rs.58', 'C)Rs.09', 'D)Rs.50', 'E)Rs.13']", "role": "user", "uuid": "3b61dae3-4687-4258-ab9e-3ab556bef166" }, { "content": "SP per metre = 18000/400\n= Rs. 45 Loss per metre\n= Rs. 5 CP per metre = 45 + 5\n= Rs.50\nAnswer: D", "role": "assistant", "uuid": "dbb1c872-488c-4828-9e49-63b384772782" } ]

{ "coherence": 2.82, "complexity": 1.21, "correctness": 2.12, "helpfulness": 2.57, "instruction-following": 2.62, "safety": 5.01, "verbosity": 1.01, "verbosity-coeff": -0.1185 }

[ { "content": "For any non-zero a and b that satisfy |ab| = ab and |a| = -a\n|b + 4| + |ab - b| = ?\n\n['A)a) ab - 4', 'B)b) 2b - a - 4', 'C)c) ab - 2b - 4', 'D)d) ab - 2b + 4', 'E)e) 4 - ab']", "role": "user", "uuid": "d4975ff6-b801-4791-9491-5df264b72820" }, { "content": "|a| = -a Suggests that 'a' is Negative\n|ab| = ab Suggests that 'ab' is Positive\n'ab' is Positive Suggests that 'a' and 'b' have same Sign i.e. either both positive or both negative\nBut since 'a' is Negative therefore 'b' is Negative too.\nSince b is negative so |b - 4| = -b-4\nSince ab is Positive and b is Negative so |ab - b| = ab - b\ni.e. |b + 4| + |ab - b| = -b-4 + ab - b =ab - 2b - 4\nAnswer: Option C", "role": "assistant", "uuid": "1359ea85-6ae8-4af6-9372-b2a9436c594e" } ]

{ "coherence": 2.61, "complexity": 2.68, "correctness": 2, "helpfulness": 2.21, "instruction-following": 2.7, "safety": 5.59, "verbosity": 1.82, "verbosity-coeff": -0.1412 }

[ { "content": "If the probability that Stock A will increase in value during the next month is 0.54, and the probability that Stock B will increase in value during the next month is 0.68. What is the greatest value for the probability that neither of these two events will occur?\nA.\nB.\nC.\nD.\nE.\n\n['A)0.22', 'B)0.32', 'C)0.37', 'D)0.46', 'E)0.63']", "role": "user", "uuid": "71c39a7b-117a-4b3f-b15c-a2547e94564d" }, { "content": "This would be a different question if we knew the probabilities were independent --- that is, any increase in Stock A would tell you nothing about whether or not Stock B increased, and vice versa. If the question guaranteed that, then probability P(not A *and* not B) = P(not A)*P(not B) = (1 - 0.54)*(1 - 0.68) = (0.46)*(0.32) = 0.1472 We can't do that here, because the question does not specify that A and B are independent, but I share that because that's also a common type of question on the GMAT.\nThe best way to think about this particular question is this. Visualize a big circle: that's the space of everything that could happen with these two stocks next year, what statisticians call the \"sample space.\" That represents 100%. The \"B space\", the area of that space where Stock B increases is 68% of that space, so only 32% is outside the \"B space\". We don't know the relationship of Stock A & Stock B, but we'd like to know where to put Stock A on the diagram to maximize the area that's outside of both the \"A space\" and the \"B space.\" Well, with just the \"B space\" in the big circle, already 68% is taken up, and only 32% is free. If any of the \"A space\" is outside of the \"B space\", then it will eat up some of that free 32%. The only way to maximize that free space, to keep all 32% free, would be to put the entirety of \"A space\" inside \"B space\", that is, overlapping with \"B space.\" That would be the real world situation in which Stock A rises *only if* Stock B rises: Stock B could go up without Stock A going up, but the the only way that Stock A can go up is if Stock B goes up too. That configuration would leave the maximum amount, 32%, in the region that overlaps with neither \"A space\" or \"B space\". Thus, the greatest value for the probability that neither of these two events will occur is 32%, or 0.32. Answer choice = B.", "role": "assistant", "uuid": "d9ac84ba-8397-47c0-bb09-e7c92868d50c" } ]

{ "coherence": 3.02, "complexity": 1.76, "correctness": 2.68, "helpfulness": 2.84, "instruction-following": 2.76, "safety": 4.3, "verbosity": 2.18, "verbosity-coeff": -0.1509 }

[ { "content": "A father said to his son, \"I was as old as you are at the 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)14 years', 'B)19 years', 'C)33 years', 'D)38 years', 'E)42 years']", "role": "user", "uuid": "5e0cca7e-e8b4-4e1d-b6ff-74159a17949e" }, { "content": "Let the son's present age be x years. Then, (38 - x) = x\n2x = 38.\nx = 19.\nSon's age 5 years back (19 - 5) = 14 years.\nAnswer: Option A", "role": "assistant", "uuid": "31191ef9-d381-41b3-982e-935e24d8aff8" } ]

{ "coherence": 3.33, "complexity": 1.15, "correctness": 3.05, "helpfulness": 3.33, "instruction-following": 3.62, "safety": 4.58, "verbosity": 0.91, "verbosity-coeff": -0.1138 }

[ { "content": "The median annual household income in a certain community of 21 households is $50,000. If the mean E income of a household increases by 10% per year over the next 2 years, what will the median income in the community be in 2 years?\n\n['A) $50,000', 'B) $60,000', 'C) $60,500', 'D) $65,000', 'E) Cannot be determined']", "role": "user", "uuid": "6c1aba65-f1c9-4843-afef-d4ce712a2b21" }, { "content": "Answer is E, because there are different numbers in the set and we are not sure which side of the numbers in the set will be increased so the mean E is increase by 10%. It could be the case that small number of higher end incomes increased a little or many low end incomes increased - it cannot be identified.", "role": "assistant", "uuid": "b7cd612b-a4a9-450c-b889-127e206a29c5" } ]

{ "coherence": 2.59, "complexity": 1.25, "correctness": 1.64, "helpfulness": 1.73, "instruction-following": 1.47, "safety": 5.01, "verbosity": 1.15, "verbosity-coeff": -0.1386 }

[ { "content": "What day of the week does May 28 2006 fall on\n\n['A)Saturday', 'B)Monday', 'C)Sunday', 'D)Thursday', 'E)Friday']", "role": "user", "uuid": "2dae12ea-0319-4a1b-9011-8e2b83e4fa88" }, { "content": "Explanation:\n28th May 2006 = (2005 years + period from 1-Jan-2006 to 28-May-2006)\nWe know that number of odd days in 400 years = 0\nHence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)\nNumber of odd days in the period 2001-2005\n= 4 normal years + 1 leap year\n= 4 x 1 + 1 x 2 = 6\nDays from 1-Jan-2006 to 28-May-2006 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 30 (Apr) + 28(may)\n= 148\n148 days = 21 weeks + 1 day = 1 odd day\nTotal number of odd days = (0 + 6 + 1) = 7 odd days = 0 odd day\n0 odd day = Sunday\nHence May 28 2006 is Sunday.\nAnswer: Option C", "role": "assistant", "uuid": "d7328d36-6a25-4a5d-807b-c0363e017864" } ]

{ "coherence": 2.96, "complexity": 1.94, "correctness": 2.43, "helpfulness": 2.61, "instruction-following": 3.17, "safety": 5.12, "verbosity": 2.76, "verbosity-coeff": -0.1132 }

[ { "content": "Express a speed of 90 kmph in meters per second?\n\n['A)25mps', 'B)20 mps', 'C)35 mps', 'D)19 mps', 'E)21 mps']", "role": "user", "uuid": "dd65e82f-2a4d-42c2-b580-98969ee29a5f" }, { "content": "90 * 5/18 = 25 mps\nAnswer: A", "role": "assistant", "uuid": "02963593-5799-41bf-b7ec-bf64db6673ac" } ]

{ "coherence": 2.98, "complexity": 1.17, "correctness": 2.59, "helpfulness": 2.78, "instruction-following": 3.62, "safety": 3.88, "verbosity": 0.79, "verbosity-coeff": -0.1053 }

[ { "content": "A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?\n\n['A)2 1/4', 'B)3 1/4', 'C)4 1/3', 'D)6 1/2', 'E)8 1/2']", "role": "user", "uuid": "63a38355-d3f2-42c3-8c7f-d2ef448c1e20" }, { "content": "P ---- 2P ---- 8 years\n2 1/4 P ---- 10 years\nANSWER A", "role": "assistant", "uuid": "ead001bf-ccb2-404d-b960-102e44ac362c" } ]

{ "coherence": 2.92, "complexity": 1.28, "correctness": 2.37, "helpfulness": 2.33, "instruction-following": 2.96, "safety": 4.77, "verbosity": 0.8, "verbosity-coeff": -0.1267 }

[ { "content": "Shahrukh starts from Barabanki to Fatehpur , 1 hour after Ajay starts. Shahrukh meets Kajol 1.5 hours after Shahrukh starts. If the speed of Shahrukh is at least 20km/h faster than the speed of Kajol.\nWhat is the minimum speed of Shahrukh to overtake Ajay, before he meets Kajol?\n\n['A)32', 'B)21', 'C)27', 'D)None of these', 'E)18']", "role": "user", "uuid": "e68bc5e0-2eec-4261-9f30-429af1c3f58d" }, { "content": "Explanation:\nLet t be the time after Kajol starts, when she meets Ajay, then\n\\inline t=\\frac{300}{(x+y)}\nThis should be less than 2.5 or (x+y)>120\nSince y= \\inline \\frac{3x}{2} \\inline \\Rightarrow y>72\nThis (y>72) is greater than 67.5 km/h and hence Shahrukh will always overtake Ajay before he meets Kajol.\nAnswer: D", "role": "assistant", "uuid": "1c18b47f-500d-4f21-ab66-83a5ee024784" } ]

{ "coherence": 2.33, "complexity": 1.71, "correctness": 1.38, "helpfulness": 1.41, "instruction-following": 1.67, "safety": 6.22, "verbosity": 0.97, "verbosity-coeff": -0.1218 }

[ { "content": "Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is\n\n['A)7 days', 'B)8 days', 'C)9 days', 'D)10 days', 'E)11 days']", "role": "user", "uuid": "3772b56a-1424-41ef-b2b6-2df44f02e5fe" }, { "content": "If A can complete a work in x days and B can complete the same work in y days, then, both\nof them together can complete the work in x y/ x+ y days.\nThat is, the required No. of days = 10 × 40/50 = 8 days.\nB", "role": "assistant", "uuid": "1b843ff0-6b89-4dcd-bdac-466b8577d38e" } ]

{ "coherence": 2.68, "complexity": 1.28, "correctness": 2.31, "helpfulness": 2.43, "instruction-following": 3.54, "safety": 5.05, "verbosity": 1.22, "verbosity-coeff": -0.1182 }

[ { "content": "Two pens and three pencils cost 86. Four pens and a pencil cost 112. What is the difference between the cost of a pen and that of a pencil?\n\n['A)25', 'B)13', 'C)19', 'D)Cannot be determined', 'E)None of these']", "role": "user", "uuid": "a735c2cb-767a-4857-a537-11a412f68bdd" }, { "content": "Let the cost of a pen and a pencil be ‘x’ and ‘y’ respectively. We have to find (x – y).\nFrom the question,\n2x + 3y = 86 ..... (i)\n4x + y = 112 ......(ii)\nSubtracting (i) from (ii), we get\n2x – 2y = 26 or, x – y = 13\nAnswer B", "role": "assistant", "uuid": "f4435eab-bcb5-45b1-99c0-72a78436409b" } ]

{ "coherence": 3.04, "complexity": 1.6, "correctness": 2.62, "helpfulness": 2.62, "instruction-following": 3.58, "safety": 5.16, "verbosity": 1.22, "verbosity-coeff": -0.1832 }

[ { "content": "The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 6500, brokerage being 1/4%, is:\n\n['A)90.03', 'B)114', 'C)114.75', 'D)124', 'E)124.75']", "role": "user", "uuid": "7a1c8615-96a1-4ddb-8c27-c1a4330391f3" }, { "content": "Face Value = Rs. 6500.\nDividend = 10.5%.\nAnnual Income = Rs. 756.\nBrokerage per Rs. 100 = Rs. 0.25.\nDividend is always paid on the face value of a share.\nFace Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income.\n= 6500 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 100.\n= Market Value of Rs. 100 stock + Brokerage per Rs. 100 = Rs. 90.27.\n= Market Value of Rs. 100 stock = Rs. 90.27 - Re. 0.25.\n= Market Value of Rs. 100 stock = Rs. 90.03.\nanswer : A", "role": "assistant", "uuid": "da098238-d366-4250-8710-e846bb60f639" } ]

{ "coherence": 2.9, "complexity": 1.02, "correctness": 2.31, "helpfulness": 2.74, "instruction-following": 3.7, "safety": 3.46, "verbosity": 1.28, "verbosity-coeff": -0.1201 }

[ { "content": "Find the least number of complete years in which a sum of money put out at 25% compound interest will be more than double of itself?\n\n['A)8 years', 'B)9 years', 'C)6 years', 'D)4 years', 'E)5 years']", "role": "user", "uuid": "7cf0bbbc-058c-451f-9fd6-b1a3f063d73f" }, { "content": "4 years\nAnswer:D", "role": "assistant", "uuid": "03e6d52d-5bf2-4257-a8cd-53071d906ace" } ]

{ "coherence": 2.76, "complexity": 1.04, "correctness": 1.99, "helpfulness": 1.91, "instruction-following": 2.31, "safety": 5.28, "verbosity": 0.76, "verbosity-coeff": -0.2199 }

[ { "content": "Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?\n\n['A)Rs.12:29', 'B)Rs.18:90', 'C)Rs.16.28', 'D)Rs.16.50', 'E)Rs.82.09']", "role": "user", "uuid": "adf9267a-58f8-4ee6-a6eb-dd6639d5e3a1" }, { "content": "Let the quantities of A and B mixed be 3x kg and 7x kg.\nCost of 3x kg of A = 9(3x) = Rs. 27x\nCost of 7x kg of B = 15(7x) = Rs. 105x\nCost of 10x kg of the mixture = 27x + 105x = Rs. 132x\nCost of 5 kg of the mixture = 132x/10x (5) = Rs. 66\nProfit made in selling 5 kg of the mixture = 25/100 (cost of 5 kg of the mixture) = 25/100 * 66 = Rs. 16.50\nAnswer:D", "role": "assistant", "uuid": "f4d673d7-c43b-4cbd-9ad9-e6411b00b4c1" } ]

{ "coherence": 3.07, "complexity": 1.92, "correctness": 2.16, "helpfulness": 2.49, "instruction-following": 3.41, "safety": 4.23, "verbosity": 1.7, "verbosity-coeff": -0.1186 }

[ { "content": "A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?\n\n['A)2.89 km', 'B)2.88 km', 'C)3.99 km', 'D)3.78 km', 'E)3.98 km']", "role": "user", "uuid": "da2e0c91-639d-4058-89cf-de669830c052" }, { "content": "M = 6\nS = 1.2\nDS = 6 + 1.2 = 7.2\nUS = 6 - 1.2 = 4.8\nx/7.2 + x/4.8 = 1\nx = 2.88\nAnswer:B", "role": "assistant", "uuid": "f0f27163-21d7-49fd-963d-ee38c6dc86d6" } ]

{ "coherence": 3.04, "complexity": 1.21, "correctness": 2.72, "helpfulness": 2.84, "instruction-following": 3.84, "safety": 5.71, "verbosity": 1.09, "verbosity-coeff": -0.1534 }

[ { "content": "How many two letter words are formed using the letters of the word MICKY?\n\n['A)28', 'B)21', 'C)26', 'D)20', 'E)29']", "role": "user", "uuid": "071bbfc0-a400-4fcb-917f-334df343aa0b" }, { "content": "The number of letters in the given word is four.\nThe number of three letter words that can be formed using these four letters is 5P2\n= 5 * 4 = 20.\nAnswer: D", "role": "assistant", "uuid": "46e57444-e9c4-411a-9229-a959a9f2e684" } ]

{ "coherence": 2.41, "complexity": 0.82, "correctness": 1.52, "helpfulness": 1.74, "instruction-following": 1.77, "safety": 4.85, "verbosity": 0.88, "verbosity-coeff": -0.0897 }

[ { "content": "Two pipes can fill a tank in 14 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?\n\n['A)5.5 Hours', 'B)7.5 Hours', 'C)8.5 Hours', 'D)9.5 Hours', 'E)6.5 Hours']", "role": "user", "uuid": "eb7c74b3-4018-43fd-b8c0-16a3a0ff7c18" }, { "content": "In 1 hour it fill 1/14 + 1/12 - 1/20 = 2/19\nSo fill tank fill up in 19/2= 9.5 Hours\nANSWER:D", "role": "assistant", "uuid": "a8028752-15f8-425e-87fd-50da3d0389c5" } ]

{ "coherence": 2.62, "complexity": 1.16, "correctness": 1.91, "helpfulness": 2, "instruction-following": 2.66, "safety": 5.52, "verbosity": 0.71, "verbosity-coeff": -0.1113 }

[ { "content": "The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?\n\n['A)60 sq.units', 'B)158 sq.units', 'C)187 sq.units', 'D)607 sq.units', 'E)815 sq.units']", "role": "user", "uuid": "e0da723d-2c8f-459f-bd44-8d839b4f805d" }, { "content": "Given that the area of the square = 225 sq.units\n=> Side of square = √225 = 15 units\nThe radius of the circle = side of the square = 15 units\nLength of the rectangle = 2/5 * 15 = 6 units\nGiven that breadth = 10 units\nArea of the rectangle = lb = 6 * 10 = 60 sq.units\nAnswer: A", "role": "assistant", "uuid": "6d75e197-7d31-4d84-a17a-9d92ed93156a" } ]

{ "coherence": 3.64, "complexity": 1.17, "correctness": 3.13, "helpfulness": 3.56, "instruction-following": 4.19, "safety": 5.09, "verbosity": 0.85, "verbosity-coeff": -0.1133 }

[ { "content": "Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:\n\n['A)39, 30', 'B)41, 32', 'C)42, 33', 'D)43, 34', 'E)42, 34']", "role": "user", "uuid": "cc2f235b-75c6-413f-983d-3a5bca109d11" }, { "content": "Let their marks be (x + 9) and x.\nThen, x + 9 = 56/100(x + 9 + x)\n25(x + 9) = 14(2x + 9)\n3x = 99\nx = 33\nSo, their marks are 42 and 33.\nanswer :C", "role": "assistant", "uuid": "bd9fa840-9f7c-4f66-bf91-f8752ddfa49c" } ]

{ "coherence": 2.72, "complexity": 2.1, "correctness": 2.55, "helpfulness": 2.55, "instruction-following": 3.66, "safety": 5.09, "verbosity": 1.57, "verbosity-coeff": -0.1142 }

[ { "content": "How much interest can a person get on Rs. 6280 at 15.5% p.a. simple interest for a period of five years and six months?\n\n['A)5353.72', 'B)5353.71', 'C)5353.7', 'D)5353.73', 'E)5353.74']", "role": "user", "uuid": "678e4ca0-b269-4707-90f1-1bbf6913b0c3" }, { "content": "I = (6280 * 5.5 * 15.5)/100\n= (6280 * 11 * 31)/(100 * 2 * 2)\n= Rs. 5353.7\nAnswer: C", "role": "assistant", "uuid": "a3a08d3d-6397-46fa-8a82-30d5d4cee1e4" } ]

{ "coherence": 2.66, "complexity": 0.93, "correctness": 1.68, "helpfulness": 1.86, "instruction-following": 3.72, "safety": 5.01, "verbosity": 0.58, "verbosity-coeff": -0.1231 }

[ { "content": "Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 32 laps around the track per hour and Nick completes 12 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 5 more laps around the track than Nick?\n\n['A)5', 'B)8', 'C)12', 'D)15', 'E)20']", "role": "user", "uuid": "d8626636-bb4c-4194-bbd7-607bc1caad3e" }, { "content": "Marla runs 32 laps per hour ==> 0.53 laps per min\nNick runs 12 laps per hour ==> 0.2 laps per min\nfor every min Marla is taking 0.33 laps advantage\nthe time when Marla takes 5 laps advantage ==> 5/0.33 = 15.15 ~ 15\nAnswer D", "role": "assistant", "uuid": "53425f50-fc0c-4cec-ae41-cf7e55f9e03e" } ]

{ "coherence": 2.74, "complexity": 1.22, "correctness": 2.51, "helpfulness": 2.59, "instruction-following": 3.52, "safety": 5.67, "verbosity": 1.13, "verbosity-coeff": -0.2064 }

[ { "content": "A factory produces 5500 toys per week. If the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?\n\n['A)1100 toys', 'B)5487 toys', 'C)6113 toys', 'D)2354 toys', 'E)1375 toys']", "role": "user", "uuid": "84d6cc1a-0883-4b59-8de5-ed8eb50fcbf4" }, { "content": "To find the number of toys produced every day, we divide the total number of toys produced in one week (of 5 days) by 5.\n5500 /5 = 1100 toys\ncorrect answer A", "role": "assistant", "uuid": "82e8d2ef-591b-4a5b-8fe7-e58c5c7dfbdc" } ]

{ "coherence": 3.21, "complexity": 0.81, "correctness": 2.84, "helpfulness": 2.96, "instruction-following": 3.66, "safety": 4.7, "verbosity": 1.41, "verbosity-coeff": -0.1127 }

[ { "content": "Priya covers journey from kavali to nellore by car at average speed of 80 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?\n\n['A)50Km/hr', 'B)53.33Km/hr', 'C)60Km/hr', 'D)66Km/hr', 'E)72km/hr']", "role": "user", "uuid": "db9d1fc8-3b1e-4772-a6b3-a8b2b513ba35" }, { "content": "Explanation:\nAverage speed = 2 xy/x+y\n= 2*80*40/120\n= 53.33 Km/hr\nAnswer: Option B", "role": "assistant", "uuid": "62710578-ff7a-4f0f-b875-3b7d2d0c7977" } ]

{ "coherence": 2.92, "complexity": 1.59, "correctness": 2.64, "helpfulness": 2.88, "instruction-following": 3.76, "safety": 5.48, "verbosity": 0.95, "verbosity-coeff": -0.109 }

[ { "content": "The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 9 p.m. from Delhi. When will they meet?\n\n['A)40.00 a.m.', 'B)10.00 a.m.', 'C)12.00 a.m.', 'D)11.00 a.m.', 'E)19.00 a.m.']", "role": "user", "uuid": "f2b29619-7608-41a5-b320-fc8d7db006fb" }, { "content": "Explanation:\nD = 110 – 20 = 90\nRS = 20 + 25 = 45\nT = 90/45 = 2 hours\n9 a.m. + 2 = 11 a.m.\nAnswer: Option D", "role": "assistant", "uuid": "90751ace-01dc-40a1-b2fa-e9b1406cb726" } ]

{ "coherence": 2.55, "complexity": 1.85, "correctness": 2.41, "helpfulness": 2.8, "instruction-following": 2.7, "safety": 5.32, "verbosity": 0.99, "verbosity-coeff": -0.1176 }

[ { "content": "Ashish is given Rs. 158 in one-rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re 1 and Rs. 158 can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?\n\n['A)11', 'B)12', 'C)13', 'D)14', 'E)None of these']", "role": "user", "uuid": "e3661663-b995-4abe-9cde-c8cfd85e3444" }, { "content": "No. of one rupee coins = 158.\nPossible arrangement of coins are listed as\n1,2,4,8,16,32,64 and 31.\nSo, number of arrangements = 8.\nHence, the least number of bags required is 8.\nAnswer : E", "role": "assistant", "uuid": "6c2fc3fd-3242-4dc9-b96c-cdc3ac43a99b" } ]

{ "coherence": 2.37, "complexity": 1.41, "correctness": 1.52, "helpfulness": 1.61, "instruction-following": 1.93, "safety": 5.44, "verbosity": 0.81, "verbosity-coeff": -0.1265 }

[ { "content": "If x is the sum of six consecutive integers, then x is divisible by which of the following:\nI. 6\nII. 4\nIII. 11\n\n['A)I only', 'B)II,III only', 'C)III only', 'D)I,III only', 'E)II only']", "role": "user", "uuid": "4c15abf2-184d-49d9-96d4-bfaca4d1a678" }, { "content": "We're told that X is the SUM of 6 CONSECUTIVE INTEGERS. We're asked what X is divisible by....\nLet's TEST VALUES....\nIF we use the 6 consecutive integers: 3, 4, 5, 6, 7 and 8, then the sum = 33.\n33 is divisible by 11\n33 is NOT divisible by 4\n33 is NOT divisible by 6\nThere's only one answer that 'fits' with these facts. Answer : C", "role": "assistant", "uuid": "2dadce4c-a043-4b2f-8b2b-e609f1d67517" } ]

{ "coherence": 2.49, "complexity": 2.29, "correctness": 1.53, "helpfulness": 1.63, "instruction-following": 1.9, "safety": 6.18, "verbosity": 1.47, "verbosity-coeff": -0.2083 }

[ { "content": "Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of Rs. 8000. If at the end of the year, they earn a profit of Rs. 8200, then what will be the share of Sameer in the profit?\n\n['A)s.2323', 'B)s.2380', 'C)s.2800', 'D)s.2329', 'E)s.2312']", "role": "user", "uuid": "bfa90613-d5a7-4fe3-95ae-f1cc66ceb3bf" }, { "content": "Kamal : Sameer = (9000 * 12) : (8000 * 7)\n= 108:56 = 27:14\nSameer's share = 8200 * 14/41\n= Rs.2800.\nAnswer: C", "role": "assistant", "uuid": "a775da80-aee2-41f9-94be-a287789f94a0" } ]

{ "coherence": 2.61, "complexity": 1.17, "correctness": 2.25, "helpfulness": 2.25, "instruction-following": 3.45, "safety": 4.17, "verbosity": 0.93, "verbosity-coeff": -0.1162 }

[ { "content": "In a mixture there is ratio of alcohol and water is 4:3.if in this mixture we will add 3litre of water.then ratio become 4:5.then calculate the amount of alcohol?\n\n['A)4', 'B)5', 'C)6', 'D)8', 'E)9']", "role": "user", "uuid": "354f6f59-3dc7-4d2b-b4ed-248e1d862418" }, { "content": "Let in mixture alcohol=4x litre,and water=3x litre\n4x/3x+3=4/5\nX=1.5\nAmount of alcohol=(4×1.5)=6 litre\nAnswer C", "role": "assistant", "uuid": "e4fc453e-096e-4df7-abb2-99b8d33d12a4" } ]

{ "coherence": 2.92, "complexity": 1.77, "correctness": 2.21, "helpfulness": 2.2, "instruction-following": 3.23, "safety": 5.63, "verbosity": 0.93, "verbosity-coeff": -0.1122 }

[ { "content": "In year Y imported machine tools accounted for 60 percent of total machine-tools sales in the United States, and Japanese imports accounted for 30 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?\n\n['A)55x/9', 'B)50x/9', 'C)60x/9', 'D)65x/9', 'E)75x/9']", "role": "user", "uuid": "876f03de-9b1e-4f2d-ac16-d3a8bd314fd3" }, { "content": "Sales of imported tools = 60% of the total sales = 0.60*{total} = 3{total}/5;\nSales of Japanese tools = 30% of the sales of imported tools = 3/10*3{total}/5 = 9{total}/50.\nSince the sales of of Japanese tools was x, then 9{total}/50 = x -->9 {total} = 50x\n{total} = 50x/9\nAnswer: B", "role": "assistant", "uuid": "1a9cc2ca-7e4e-41e6-b0b5-fc2de32b6f1b" } ]

{ "coherence": 3, "complexity": 1.48, "correctness": 2.68, "helpfulness": 2.94, "instruction-following": 3.09, "safety": 4.97, "verbosity": 0.82, "verbosity-coeff": -0.1824 }

[ { "content": "Number X is 30% more than that of Number Y . Find what percent of Number Y is less than Number X ?\n\n['A)25 1/3%', 'B)26 1/3%', 'C)24 1/3%', 'D)23 1/3%', 'E)23 2/3%']", "role": "user", "uuid": "b3ff10f5-2662-4b5b-86b3-03db00702c21" }, { "content": "Explanation:\ny=100 x=130\n130---------30\n100---------? => 23 1/3%\nAnswer D", "role": "assistant", "uuid": "7e2c3e6a-4623-403e-b2a8-58376c9a66ad" } ]

{ "coherence": 2.88, "complexity": 1.68, "correctness": 2.31, "helpfulness": 2.31, "instruction-following": 2.98, "safety": 5.71, "verbosity": 0.52, "verbosity-coeff": -0.1263 }

[ { "content": "Number of ways in which the letters of word GALE can be arranged with vowels in alphabetical order, is\n\n['A)360', 'B)240', 'C)12', 'D)480', 'E)None of these']", "role": "user", "uuid": "3ef792f9-7f02-4174-a8b3-62700abf467d" }, { "content": "Solution\nOrder of vowels of fixed\n∴ required number of ways are 4!/2!.\nAnswer C", "role": "assistant", "uuid": "16564887-5efc-42ec-b07d-8de747647e20" } ]

{ "coherence": 2.02, "complexity": 1.66, "correctness": 1.63, "helpfulness": 1.65, "instruction-following": 2.1, "safety": 4.66, "verbosity": 1.75, "verbosity-coeff": -0.1122 }

[ { "content": "In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 44, the dividend is:\n\n['A)5330', 'B)5336', 'C)4884', 'D)5345', 'E)5350']", "role": "user", "uuid": "d6f9e983-b597-418b-a5ca-042277d0c1e9" }, { "content": "Divisor = (5 * 44) = 220\n= 10 * Quotient = Divisor\n=> Quotient = 220/10 = 22\nDividend = (Divisor * Quotient) + Remainder\nDividend = (220 * 22) + 42 = 4884.\nC", "role": "assistant", "uuid": "3a73fa9d-89c9-404f-9caf-b22083486752" } ]

{ "coherence": 2.8, "complexity": 2.02, "correctness": 2.23, "helpfulness": 2.29, "instruction-following": 2.37, "safety": 3.46, "verbosity": 1.22, "verbosity-coeff": -0.1239 }

[ { "content": "Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?\n\n['A)4 hrs 46 min', 'B)4 hrs 24 min', 'C)4 hrs 34 min', 'D)3 hrs 34 min', 'E)4 hrs 14 min']", "role": "user", "uuid": "8db564e0-5c0a-45a8-b35d-19f8fa5cc528" }, { "content": "1/4 + 1/5 = 9/20\n20/9 = 2 2/9\n9/20 * 2 = 9/10 ---- 4 hours\nWR = 1 - 9/10 = 1/10\n1 h ---- 1/4\n? ----- 1/10\n2/5 * 60 = 24 = 4 hrs 24 min\nAnswer: B", "role": "assistant", "uuid": "5743e930-2840-4047-a2d8-fef2ade6fa8f" } ]

{ "coherence": 2.27, "complexity": 1.14, "correctness": 1.91, "helpfulness": 2.18, "instruction-following": 2.96, "safety": 6.57, "verbosity": 0.85, "verbosity-coeff": -0.1125 }

[ { "content": "How many positive integers less than 24 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?\n\n['A)19', 'B)25', 'C)24', 'D)22', 'E)20']", "role": "user", "uuid": "d42ba13a-900d-4d12-8093-bcc1cdc316bc" }, { "content": "9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}\n2 odd multiples of 5: {5, 15}\n9 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22}\nNotice, that 5 is in two sets, thus total # of integers satisfying the given conditions is 9+2+9-1=19.\nAnswer: A.", "role": "assistant", "uuid": "5cae6063-4bae-425d-af51-b3aa644b33e3" } ]

{ "coherence": 2.82, "complexity": 1.61, "correctness": 2.35, "helpfulness": 2.59, "instruction-following": 2.8, "safety": 5.91, "verbosity": 1.35, "verbosity-coeff": -0.2641 }

[ { "content": "Each Machine of type A has 3 steel parts and 3 chrome parts. Each machine of type B has 6 steel parts and 5 chrome parts. If a certain group of type A and type B machines has a total of 60 steel parts and 44 chrome parts, how many machines are in the group\n\n['A)12', 'B)13', 'C)14', 'D)15', 'E)16']", "role": "user", "uuid": "c40cbd91-2b29-449c-9741-833be4bf4a2d" }, { "content": "Look at the below representation of the problem:\nSteel Chrome total\nA 3 3 60 >>no. of type A machines=60/6=10\nB 6 5 44 >>no. of type B machines=44/11=4\nSo the answer is 14 i.e C.\nHope its clear .", "role": "assistant", "uuid": "35d8ba5f-af8a-4268-beaa-78953e7f148b" } ]

{ "coherence": 2.7, "complexity": 1.61, "correctness": 1.98, "helpfulness": 2.08, "instruction-following": 1.74, "safety": 5.16, "verbosity": 0.71, "verbosity-coeff": -0.1461 }

[ { "content": "1,3,5,7,9,....50 find term of sequnce\n\n['A)1000', 'B)1200', 'C)1300', 'D)1800', 'E)2500']", "role": "user", "uuid": "013f7dd3-525b-4de4-8db9-9cc6e9a4682d" }, { "content": "This is an arithmetic progression, and we can write down\na=1a=1 ,d=2d=2 , n=50n=50 .\nWe now use the formula, so that\nSn=12n(2a+(n−1)l)Sn=12n(2a+(n−1)l)\nS50=12×50×(2×1+(50−1)×2)S50=12×50×(2×1+(50−1)×2)\n=25×(2+49×2)=25×(2+49×2)\n=25×(2+98)=25×(2+98)\n=2500=2500 .\nE", "role": "assistant", "uuid": "9d891b80-c33b-4798-b261-e4251e975488" } ]

{ "coherence": 2.35, "complexity": 1.95, "correctness": 2.14, "helpfulness": 1.96, "instruction-following": 2.66, "safety": 3.86, "verbosity": 1.72, "verbosity-coeff": -0.0858 }

[ { "content": "8 man's increases average weight by 2.5 kg when a new man comes in place of one of them weighing 65 kg. What might be the weight of the new man?\n\n['A)85 kg', 'B)70 kg', 'C)75 kg', 'D)90 kg', 'E)79 kg']", "role": "user", "uuid": "dd9ff981-503b-4d30-b9d3-1478ee01a608" }, { "content": "Total weight = (8 x 2.5) kg = 20 kg.\nWeight - new man = (65 + 20) kg = 85 kg\nANSWER A", "role": "assistant", "uuid": "2433c4b3-8b62-4e9c-95de-d7e365ecf656" } ]

{ "coherence": 2.9, "complexity": 2.06, "correctness": 2.23, "helpfulness": 2.39, "instruction-following": 2.27, "safety": 4.66, "verbosity": 1.3, "verbosity-coeff": -0.1236 }

[ { "content": "A triangle has two angles with ratio of 4:3, and the third angle is the sum of the first two. Find the smallest angle of the triangle in degrees.\n\n['A)130/11', 'B)270/7', 'C)270/11', 'D)310/7', 'E)35']", "role": "user", "uuid": "6ff1b804-2074-406b-abc6-a7d07b5f64dc" }, { "content": "The angles are 4x, 3x, and (4x+3x) = 7x for some value x\nthe three angles of a triangle add up to 180, so\n4x+3x+7x=180\n14x=180\nx=180/14\nx=90/7\nthe smallest angle is 3x = 3*(90/7) = 270/7\nB", "role": "assistant", "uuid": "c35e453c-09e7-4a74-9299-afe0dca6ae42" } ]

{ "coherence": 3.25, "complexity": 1.62, "correctness": 2.82, "helpfulness": 2.82, "instruction-following": 3.52, "safety": 4.25, "verbosity": 0.91, "verbosity-coeff": -0.1352 }

[ { "content": "The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?\n\n['A)12', 'B)17', 'C)18', 'D)77', 'E)21']", "role": "user", "uuid": "9d908c5d-0ff0-4f02-8e4f-aca080956757" }, { "content": "Let the length and the breadth of the floor be l m and b m respectively.\nl = b + 200% of b = l + 2b = 3b\nArea of the floor = 324/3 = 108 sq m\nl b = 108 i.e., l * l/3 = 108\nl2 = 324 => l = 18.\nAnswer: C", "role": "assistant", "uuid": "97b84725-b3b3-4e95-9462-73bd655bf07e" } ]

{ "coherence": 3.05, "complexity": 1.71, "correctness": 2.37, "helpfulness": 2.72, "instruction-following": 3.5, "safety": 5.83, "verbosity": 0.97, "verbosity-coeff": -0.1205 }