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[ { "content": "If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?\n\n['A)27 2/23 %', 'B)33 1/3 %', 'C)30%', 'D)19%', 'E)29%']", "role": "user", "uuid": "e98bcbed-2ef3-4350-b422-49f5bf333f9b" }, { "content": "100\n150\n------\n150-------50\n100-------? => 331/3%\nANSWER:B", "role": "assistant", "uuid": "93cc4c91-f036-4bfc-8cda-5ab1c65497ef" } ]

{ "coherence": 2.37, "complexity": 1.55, "correctness": 1.79, "helpfulness": 1.97, "instruction-following": 2.45, "safety": 6.26, "verbosity": 1.15, "verbosity-coeff": -0.1144 }

[ { "content": "The difference between the simple interest received from two different sources on Rs. 500 for 3 years is Rs. 13.50. The difference between their rates of interest is?\n\n['A)A)2.4%', 'B)B)6.6%', 'C)C)0.3%', 'D)D)2.0%', 'E)E)1.3%']", "role": "user", "uuid": "51a608a4-603d-410b-be60-4205281420d7" }, { "content": "(500 * R1 * 3)/100 - (500 * R2 * 3)/100 = 13.50 1500(R1 - R2) = 1350\nR1 - R2 = 6.6%\nAnswer:B", "role": "assistant", "uuid": "78907c1b-75a4-4eca-be77-93da9a36ae4f" } ]

{ "coherence": 2.76, "complexity": 1.45, "correctness": 1.83, "helpfulness": 2.14, "instruction-following": 2.9, "safety": 5.32, "verbosity": 0.66, "verbosity-coeff": -0.1224 }

[ { "content": "A person crosses a 1800 m long street in 12 minutes. What is his speed in km per hour?\n\n['A)4.1', 'B)4.5', 'C)4.8', 'D)5.4', 'E)9']", "role": "user", "uuid": "e5786f8a-0dc9-4620-92da-266686143cfd" }, { "content": "Speed = 1800/(12x60) m/sec\n= 2.5 m/sec.\nConverting m/sec to km/hr =2.5 x(18/5) km/hr\n= 9 km/hr.\nANSWER :E", "role": "assistant", "uuid": "4f9960aa-c7b6-47a5-8c7b-90de1fb5b37f" } ]

{ "coherence": 2.8, "complexity": 1.44, "correctness": 2.45, "helpfulness": 2.51, "instruction-following": 3.72, "safety": 4.32, "verbosity": 0.83, "verbosity-coeff": -0.1139 }

[ { "content": "The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?\n\n['A)77 cm2', 'B)66 cm2', 'C)54 cm2', 'D)44 cm2', 'E)35 cm2']", "role": "user", "uuid": "fbd7ce0e-ba03-419c-be2d-93b825a3ca2a" }, { "content": "Area of a triangle = r * s\nWhere r is the inradius and s is the semi perimeter of the triangle.\nArea of triangle = 2.5 * 28/2 = 35 cm2\nAnswer: E", "role": "assistant", "uuid": "bf34051b-8055-4613-85cf-dccc6b092e11" } ]

{ "coherence": 3.07, "complexity": 1.32, "correctness": 2.55, "helpfulness": 2.7, "instruction-following": 3.09, "safety": 5.24, "verbosity": 0.95, "verbosity-coeff": -0.1606 }

[ { "content": "What is the units digit of 13^4*17^2*29^3?\n\n['A)9', 'B)7', 'C)5', 'D)3', 'E)1']", "role": "user", "uuid": "e22fc82f-97fb-4471-be6a-51eb87dda8d9" }, { "content": "3^1=3\n3^2=9\n3^3=7\n3^4=1, it is first digit\n7^2=9, it is second digit\n9^3=9, it is third digit\n1*9*9=1\nANSWER:E", "role": "assistant", "uuid": "e3e6e09f-3c83-4e91-96bc-ae9f95c90d60" } ]

{ "coherence": 2.57, "complexity": 2.2, "correctness": 1.74, "helpfulness": 1.69, "instruction-following": 1.53, "safety": 5.44, "verbosity": 0.96, "verbosity-coeff": -0.2112 }

[ { "content": "Bradley owns b video game cartridges. If Bradley’s total is one-seventh the total owned by Andrew and four times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?\n\n['A)27b / 4', 'B)29b / 4', 'C)31b / 4', 'D)33b / 4', 'E)35b / 4']", "role": "user", "uuid": "eef92ab2-2f38-40be-8b7c-2415c1f0cd00" }, { "content": "b = Bradley’s total\n7b = Andrew’s total\nb/4 = Charlie’s total\nThe total number of cartridges is:\nb + 7b+ b/4 = (4b + 28b + b) / 4 = 33b / 4\nThe answer is D.", "role": "assistant", "uuid": "154271d5-1d22-4b0c-88bc-769d613891d7" } ]

{ "coherence": 2.96, "complexity": 1.31, "correctness": 1.79, "helpfulness": 2.14, "instruction-following": 2.64, "safety": 5.01, "verbosity": 0.24, "verbosity-coeff": -0.1468 }

[ { "content": "If –3 < x < 3 and x ≠ 0, which of the following inequalities must be true?\nI. x^3 < x\nII. x^2 < |x|\nIII. x^4 – x^5 > x^3 – x^2\n\n['A) I only', 'B) II only', 'C) III only', 'D) II and III only', 'E) I, II, and III']", "role": "user", "uuid": "a26db2fc-4df6-4353-9a34-5738ec4f5cc4" }, { "content": "Answer is D. Let's look at the statements one by one\nStmt I. x^3 < x\nif 0<x<1 then x^3< x but if -1<x<0 then x^3>x\nSo this statement is not always true\nStmt II. x^2 < |x|\nBecause we know that x is a number less than one but not equal to zero then x^2 will always be less than |x|.\nWhy? think of positive fractions (and you can think in terms of positive fractions because the inequality is in regards to |x|). Lets set x = 1/2, then x^2 = 1/4 and 1/4<1/2\nSo Stmt II is always true\nStmt III. x^4 – x^5 > x^3 – x^2\nThis one may seem tricky but lets break it down. x^4 – x^5 > x^3 – x^2 = x^4(1-x)>x^2(x-1).\nBecause lets concentrate on (1-x) and (x-1). We are given that -1<x<1 which means that (1-x)>0 and (x-1)<0. x^4 will always be positive and x^2 will always be positive so without doing any math we are looking at positive > negative... which is always true.\nSo Stmt III is always true\nE", "role": "assistant", "uuid": "9b993333-efc9-4ece-8d16-f9bafcc16d57" } ]

{ "coherence": 2.84, "complexity": 2.51, "correctness": 1.79, "helpfulness": 1.85, "instruction-following": 2.41, "safety": 5.87, "verbosity": 1.5, "verbosity-coeff": -0.2079 }

[ { "content": "A man saves Rs 200 at the end of each year and lends the money at 5% compound interest. How\nmuch will it become at the end of 3 years.\n\n['A)Rs 662', 'B)Rs 662.01', 'C)Rs 662.02', 'D)Rs 662.03', 'E)None of these']", "role": "user", "uuid": "d46f6b77-bb98-444e-84da-e8c0196a8c72" }, { "content": "Explanation:\n=[200(2120×2120×2120)+200(2120×2120)+200(2120)]=662.02\nAnswer: C", "role": "assistant", "uuid": "6562a8a4-9d02-4d3e-8db8-8055633e8ba4" } ]

{ "coherence": 2.35, "complexity": 1.53, "correctness": 1.45, "helpfulness": 1.54, "instruction-following": 2.16, "safety": 5.16, "verbosity": 0.61, "verbosity-coeff": -0.126 }

[ { "content": "Each week a restaurant serving Mexican food uses the same volume of chili paste, which comes in either 25-ounce cans or 15-ounce cans of chili paste. If the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how manysmallercans are required to fulfill its weekly needs?\n\n['A)60', 'B)70', 'C)75', 'D)100', 'E)120']", "role": "user", "uuid": "b97a6120-ee86-4696-9215-20d264267314" }, { "content": "let x be the number of 25 ounce cans. Therefore (x+30) is the number of 15 ounce cans.\nTotal volume is same, therefore\n25x=15(x+30)\n10x=450\nx=45\nTherefore, number of 15 ounce cans=45+30=75\nAns - C", "role": "assistant", "uuid": "bbe22a87-a58d-4efd-b642-efbd02fa11bc" } ]

{ "coherence": 3.05, "complexity": 1.46, "correctness": 2.37, "helpfulness": 2.57, "instruction-following": 3.62, "safety": 5.44, "verbosity": 0.56, "verbosity-coeff": -0.1954 }

[ { "content": "Stacy and Heather are 15 miles apart and walk towards each other along the same route. Stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles/hour. If Heather starts her journey 24 minutes after Stacy, how far from the original destination has Heather walked when the two meet?.\n\n['A)6.5mile', 'B)5.7mile', 'C)7.0mile', 'D)8.0mile', 'E)12 mile']", "role": "user", "uuid": "18b6d8a7-e11b-4ce1-b9b2-61c05ebb1f6d" }, { "content": "Ss - Stacy's speed = 6m/hr\nSh - Heather's speed = 5m/hr\nIn 24 minutes Stacy will cover = (24/60)*6 = 2.4miles\nNow since both are walking in opposite directions, add their speeds - 6+5 =11m/hr and distance to cover is 15 -2.4 = 12.6\nTime taken = Distance/ Speed = 12.6/11 = 1.145 hrs\nHeather will cover = 5*1.145 = 5.72miles.\nAnswer B", "role": "assistant", "uuid": "5d505bbc-1973-4cbe-b80b-680b09dd396d" } ]

{ "coherence": 2.68, "complexity": 0.69, "correctness": 1.9, "helpfulness": 2.14, "instruction-following": 2.53, "safety": 4.42, "verbosity": 0.76, "verbosity-coeff": -0.1307 }

[ { "content": "The distance from City A to City B is 240 miles. While driving from City A to City B, Jim drives at a constant speed of 40 miles per hour. Kerri leaves City A 60 minutes after Jim. What is the minimum constant speed in miles per hour that Kerri must exceed in order to arrive in City B before Jim?\n\n['A)42', 'B)44', 'C)46', 'D)48', 'E)50']", "role": "user", "uuid": "02dd0cb8-8c86-4e34-9629-c014026b9d9e" }, { "content": "The time it takes Jim to drive to City B is 240 / 40 = 6 hours.\nHannah needs to take less than 5 hours for the trip.\nHannah needs to exceed a constant speed of 240 / 5 = 48 miles per hour.\nThe answer is D.", "role": "assistant", "uuid": "cf6f0640-1a1f-42a8-9bd8-793c316bfed8" } ]

{ "coherence": 2.92, "complexity": 1.09, "correctness": 2.27, "helpfulness": 2.35, "instruction-following": 2.39, "safety": 5.2, "verbosity": 0.5, "verbosity-coeff": -0.2293 }

[ { "content": "A fruit seller had some mangoes. He sells 30% mangoes and still has 280 mangoes. Find the number of mangoes he had.\n\n['A)228 mangoes', 'B)400 mangoes', 'C)287 mangoes', 'D)408 mangoes', 'E)289 mangoes']", "role": "user", "uuid": "8b43c363-d87a-4236-b429-2f6e0dea2489" }, { "content": "Explanation:\nSuppose originally he had X mangoes.\nThen, (100 – 30)% of X = 280\n70/100 * X = 280\nX = (280 * 100) / 70 = 400\nANSWER: B", "role": "assistant", "uuid": "5cfe2bf0-c048-4cca-b210-8831e9e63fcb" } ]

{ "coherence": 2.8, "complexity": 1.3, "correctness": 2.37, "helpfulness": 2.74, "instruction-following": 3.91, "safety": 4.85, "verbosity": 1.01, "verbosity-coeff": -0.1202 }

[ { "content": "The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is?\n\n['A)32cm', 'B)48cm', 'C)50cm', 'D)28cm', 'E)30cm']", "role": "user", "uuid": "be618946-945a-42cc-b0ba-2e7176952ef2" }, { "content": "Ratio of sides = 1/2 : 1/3 : 1/4 = 6:4:3\nLargest side = 104*6/13 = 48cm\nAnswer is B", "role": "assistant", "uuid": "1498ad32-c79c-4245-bf1e-d4292c513dca" } ]

{ "coherence": 2.8, "complexity": 1.05, "correctness": 1.81, "helpfulness": 2.14, "instruction-following": 3.04, "safety": 5.09, "verbosity": -0.01, "verbosity-coeff": -0.112 }

[ { "content": "The area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm. What is the perimeter of the square?\n\n['A)236', 'B)256', 'C)456', 'D)656', 'E)756']", "role": "user", "uuid": "147dd8a5-97af-465b-ab2c-85d080f61088" }, { "content": "Area of the square = s * s = 2(32 * 64)\n=> s = 64 cm\nPerimeter of the square = 4 * 64= 256cm.\nAnswer: Option B", "role": "assistant", "uuid": "8441fd01-203c-49f6-9b90-f6c02c20789e" } ]

{ "coherence": 3.04, "complexity": 1.15, "correctness": 2.41, "helpfulness": 2.82, "instruction-following": 3.19, "safety": 5.63, "verbosity": 0.47, "verbosity-coeff": -0.1387 }

[ { "content": "A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate?\n\n['A)Rs.256.20', 'B)Rs.256.08', 'C)Rs.256.02', 'D)Rs.256.34', 'E)Rs.256.25']", "role": "user", "uuid": "f53ce1c3-bb48-4090-a98c-35f02ab97a8d" }, { "content": "Let the principal be Rs.P\nS.I at 5% p.a in 8 years on Rs.P = Rs.500\n(P)(8)(5)/100 = 500\nP = 1250\nC.I on Rs.2P i.e., Rs.2500 at 5% p.a in two years\n=2500{ [1 + 5/100]2 - 1} = 2500{ 212 - 202 /202}\n= 2500/400(441 - 400)\n= 25/4(41) = 1025/4 = Rs.256.25\nAnswer: E", "role": "assistant", "uuid": "f593aced-0c91-4015-a0a5-d6663a83288b" } ]

{ "coherence": 2.68, "complexity": 1.92, "correctness": 1.94, "helpfulness": 2.27, "instruction-following": 3.68, "safety": 4.85, "verbosity": 1.57, "verbosity-coeff": -0.115 }

[ { "content": "A basketball is dropped from a height of 40 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.\n\n['A)50', 'B)55', 'C)110', 'D)75', 'E)80']", "role": "user", "uuid": "a92a14e5-53b4-459d-a8a7-4cecde6bb0d4" }, { "content": "Initial distance = 40 feet\nfirst bounce = 20 feet up + 20 feet down = 40 feet\nsecond bouche = 10 feet up + 10 feet down = 20 feet\nthird bounce = 5 feet up and 5 feet down= 10 feet\ntotal distance covered = 40+40+20+10= 110\nANSWER IS C", "role": "assistant", "uuid": "6674561a-a04e-408c-9199-0e505fad21c9" } ]

{ "coherence": 2.8, "complexity": 1.54, "correctness": 2.49, "helpfulness": 2.66, "instruction-following": 3.35, "safety": 4.81, "verbosity": 1.34, "verbosity-coeff": -0.172 }

[ { "content": "A man travelled for 13 hours. He covered the first half of the distance at 20 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by the man?\n\n['A)168 km', 'B)864 km', 'C)200 km', 'D)240 km', 'E)460 km']", "role": "user", "uuid": "143ac76b-a647-42be-9b40-46f5a74164b5" }, { "content": "Let the distance travelled be x km.\nTotal time = (x/2)/20 + (x/2)/25 = 13 => x/40 + x/50\n= 13 => (5x + 4x)/200 = 13 => x\n= 200 km\nAnswer: C", "role": "assistant", "uuid": "2660f23d-7578-4400-b59a-9ce251d95816" } ]

{ "coherence": 3, "complexity": 2.1, "correctness": 2.25, "helpfulness": 2.53, "instruction-following": 3.74, "safety": 5.16, "verbosity": 0.92, "verbosity-coeff": -0.1197 }

[ { "content": "Find the invalid no.from the following series 15 46 63 71 75 77 78\n\n['A)23', 'B)46', 'C)45', 'D)59', 'E)40']", "role": "user", "uuid": "a44455bc-b71c-4601-aff9-11a02c96133b" }, { "content": "In this question, if you start from the beginning, firstly the difference is 31, then the difference is 17, then the difference is 8. So there is no logic. If you start backwards,you can see that firstly, 1 is added, then 2 is added, then 4 is added, then 8,16 and 32 should have been added. So you have got the right clue. So 15 + 32 the first number should be 47 and afterwards, the series becomes + 16, + 8, + 4and so on. 46\nB", "role": "assistant", "uuid": "f22f5574-0b93-4c21-96f7-7286f8b71913" } ]

{ "coherence": 2.31, "complexity": 1.5, "correctness": 2.2, "helpfulness": 2, "instruction-following": 2.33, "safety": 4.66, "verbosity": 1.72, "verbosity-coeff": -0.0934 }

[ { "content": "In an election between the two candidates ,The candidates who gets 60% of votes polled is winned by 280 votes majority. What is the total number of votes polled?\n\n['A)1200', 'B)1400', 'C)1600', 'D)1500', 'E)1540']", "role": "user", "uuid": "be0a969c-f1e0-4c8b-902d-af9a80929c35" }, { "content": "Note : majority (20 %) = difference in votes polled to win (60 %) & defeated candidates (40 %)\n20 % = 60 % - 40 %\n20% -----> 280 (20×14 = 280 )\n100% -----> 1400 (100×14 = 1400)\nOption 'B'", "role": "assistant", "uuid": "6b439b35-3862-43d8-acfb-1725f318311b" } ]

{ "coherence": 2.78, "complexity": 1.9, "correctness": 2.37, "helpfulness": 2.31, "instruction-following": 2.82, "safety": 6.18, "verbosity": 1.42, "verbosity-coeff": -0.1081 }

[ { "content": "The letters O,L and T are rearranged to form the word 'Lot'. Find its probability.\n\n['A)1/18', 'B)1/12', 'C)1/4', 'D)1/8', 'E)1/6']", "role": "user", "uuid": "82dd4316-ebcb-48ec-8db7-605c2b1ca3f0" }, { "content": "Explanation :\nThere are total 3 letters. The probability that O gets the first position is 1/3.\nLikewise, probability for L and T are 1/2 and 1/1.\nHence, the required probability is:-\n=> (1/3) x (1/2) x 1.\n=> 1/6.\nAnswer : E", "role": "assistant", "uuid": "1d042fbb-60a4-4644-be38-6f59ca17d969" } ]

{ "coherence": 2.68, "complexity": 1.71, "correctness": 2.62, "helpfulness": 2.66, "instruction-following": 3.21, "safety": 4.09, "verbosity": 1.38, "verbosity-coeff": -0.1074 }

[ { "content": "What least number must be subtracted from 427398 so that remaining no.is divisible by 12\n\n['A)3', 'B)5', 'C)6', 'D)7', 'E)8']", "role": "user", "uuid": "a2e01274-30f4-478a-b9dc-d7d959a66b9c" }, { "content": "Explanation:\nOn dividing 427398 by 12 we get the remainder 6, so 6 should be subtracted\nAnswer: Option C", "role": "assistant", "uuid": "aff69bc1-7f19-424d-bf45-aa7077d8991a" } ]

{ "coherence": 2.9, "complexity": 1.42, "correctness": 2.7, "helpfulness": 2.8, "instruction-following": 2.96, "safety": 4.85, "verbosity": 0.83, "verbosity-coeff": -0.1064 }

[ { "content": "A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?\n\n['A)7 + 4 + 10', 'B)7 × 4 × 10', 'C)21 × 20 × 19', 'D)7! + 4! + 10!', 'E)7! × 4! × 10!']", "role": "user", "uuid": "a7f4eda4-f928-4847-8b34-4062f696c5e2" }, { "content": "Number of ways one person can be hired for the position of Sales Manager= C71C17=7\nNumber of ways one person can be hired for the position of Shipping Clerk= C41=4\nNumber of ways one person can be hired for the position of Receptionist= C101=10\nTherefore total number of different hiring possible for the three positions = 7 * 4 * 10\nAnswer: B", "role": "assistant", "uuid": "e35662f4-3f78-4278-a3d8-16a0f85c7536" } ]

{ "coherence": 2.7, "complexity": 1.16, "correctness": 2.2, "helpfulness": 2.41, "instruction-following": 2.78, "safety": 6.14, "verbosity": 1, "verbosity-coeff": -0.2323 }

[ { "content": "In a class there are less than 500 students.When it is divided by 3 it gives a whole number. Similarly when it is divided by 4, 5 or 7 gives a whole number. Find the number of students in the class?\n\n['A)410', 'B)420', 'C)430', 'D)440', 'E)450']", "role": "user", "uuid": "a7756d36-ca48-49b4-aff1-9ca29d43484f" }, { "content": "L.C.M of 3,4,5,7 = 420\nANSWER:B", "role": "assistant", "uuid": "b578f467-e8d2-411f-902d-67694b155767" } ]

{ "coherence": 2.8, "complexity": 1.58, "correctness": 2.78, "helpfulness": 2.78, "instruction-following": 3.23, "safety": 6.14, "verbosity": 1.05, "verbosity-coeff": -0.1119 }

[ { "content": "What is the 10th term in this sequence?\n3,5,8,15,25,40,67,104,171\n\n['A)273', 'B)278', 'C)279', 'D)377', 'E)277']", "role": "user", "uuid": "a7482083-dc9d-4ca9-b69e-2fc5bd2d42df" }, { "content": "3+5 =8 +0 =8\n8+5 =13+2 =15\n15+8 =23+2 =25\n25+15=40+0 =40\n40+25=65+2 =67\n67+35=102+2 =104\n104+67=171+0=171\n171+104=275+2=277\nso 9th term is 277\nANSWER:E", "role": "assistant", "uuid": "74990ac8-9b8d-4c8a-87c1-97397b2f96f1" } ]

{ "coherence": 2.18, "complexity": 0.86, "correctness": 1.74, "helpfulness": 1.82, "instruction-following": 2.37, "safety": 4.3, "verbosity": 1.03, "verbosity-coeff": -0.1151 }

[ { "content": "Total of ages of A,B and C at present is 90 years. If ratio of this ages is 2 : 3 : 4 what will be the age of C after 8 years?\n\n['A)45 years', 'B)42 years', 'C)40 years', 'D)48 years', 'E)None of the above']", "role": "user", "uuid": "4ce8e548-9feb-441e-a52d-db57a5bf2ab2" }, { "content": "2+3+4=9\n4*(90/9)=40yrs\nafter 8 yrs=48\nANSWER:D", "role": "assistant", "uuid": "b9a02647-7136-4a45-bbab-ecd822627d51" } ]

{ "coherence": 2.51, "complexity": 1.41, "correctness": 2.2, "helpfulness": 2.29, "instruction-following": 2.78, "safety": 5.91, "verbosity": 0.63, "verbosity-coeff": -0.1278 }

[ { "content": "Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability Q that Jane will be on the same committee as Albert?\n\n['A) 12%', 'B) 20%', 'C) 33%', 'D) 40%', 'E) 50%']", "role": "user", "uuid": "40400799-0305-49f7-aceb-0dc1a7e85e41" }, { "content": "Total number of ways to choose 3 member committee - 6C3=(6!/3!3!)=20\nNo. of ways Albert n Jane are in same committee:- (4C1 * 2)= 8\nProbability Q= (8/20) *100 =40%.\n+1 for me.. :D", "role": "assistant", "uuid": "cefdcef1-b346-45bd-b2d2-30683f512e38" } ]

{ "coherence": 2.64, "complexity": 1.59, "correctness": 2.08, "helpfulness": 2.08, "instruction-following": 2.04, "safety": 4.97, "verbosity": 1.1, "verbosity-coeff": -0.1453 }

[ { "content": "In a group of 10 doctors, 3 doctors are only pediatricians; the others are surgeons or general practitioners - but not both. A team of 3 doctors is to be chosen which must have at least 1 pediatrician, how many different teams can be chosen?\n\n['A)85', 'B)140', 'C)60', 'D)80', 'E)75']", "role": "user", "uuid": "3c5ad4ad-e521-4d20-9591-f522ef6d7c80" }, { "content": "The problem asks for a combination, since order doesn't matter. Now, selecting r items from a set of n gives the Combination Formula: nCr= n!/r!(n-r)!\nn = 10\nr = 3\nSo, total teams is 10C3 = 10!/(3!(10 - 3)!) = 120, and\nn = 10 - 3 = 7\nr = 3\nfor teams without a pediatrician is 7C3 = 7!/(3!(7 - 3)!) = 35,\nso, teams with at least 1 pediatrician = 120 - 35 = 85\nAnswer: A", "role": "assistant", "uuid": "f1401084-f072-445a-85df-966330303b27" } ]

{ "coherence": 3.05, "complexity": 1.1, "correctness": 2.49, "helpfulness": 2.57, "instruction-following": 3.04, "safety": 4.93, "verbosity": 1.23, "verbosity-coeff": -0.2098 }

[ { "content": "Given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km?\n\n['A)22754.3', 'B)22254.2', 'C)25754.2', 'D)22753.2', 'E)22254.2']", "role": "user", "uuid": "8a9625e5-6f83-4615-b663-5198d97a1217" }, { "content": "2 * 22/7 * 3.62 * x = 22754.3\nx = 1000\nAnswer: A", "role": "assistant", "uuid": "75d91f22-e9fc-4d3f-84e0-fe909b690123" } ]

{ "coherence": 2.51, "complexity": 0.92, "correctness": 1.6, "helpfulness": 1.64, "instruction-following": 2.23, "safety": 4.17, "verbosity": 0.74, "verbosity-coeff": -0.0986 }

[ { "content": "If a = -0.6, which of the following is true?\n\n['A)a < a^2 < a^3', 'B)a < a^3 < a^2', 'C)a^2 < a < a^3', 'D)a^3 < a < a^2', 'E)a^2 < a^3 < a']", "role": "user", "uuid": "2fdde019-5aa5-408f-80e0-64e7e6642d95" }, { "content": "a=-0.6;\na^2=0.36;\na^3=-0.216;\nAnswer : B", "role": "assistant", "uuid": "a60ef89d-6182-4e36-bc2d-8de7555c1e69" } ]

{ "coherence": 2.96, "complexity": 1.63, "correctness": 2.41, "helpfulness": 2.35, "instruction-following": 3.07, "safety": 4.7, "verbosity": 1.08, "verbosity-coeff": -0.1368 }

[ { "content": "On Sunday, Bill ran 4 more miles than he ran on Saturday. Julia did not run on Saturday, but she ran twice the number of miles on Sunday that Bill ran on Sunday. If Bill and Julia ran a total of 28 miles on Saturday and Sunday, how many miles did Bill run on Sunday?\n\n['A)5', 'B)6', 'C)7', 'D)8', 'E)9']", "role": "user", "uuid": "a3f5d4c9-1a93-428d-bb52-9a5acb2d90a1" }, { "content": "Let Bill run x on saturday, so he will run x+4 on sunday..\nJulia will run 2*(x+4) on sunday..\ntotai= x+x+4+2x+8=28..\n4x+12=28..\nx=4..\nans =x+4=4+4=8\nAswer D", "role": "assistant", "uuid": "0b73c334-e5e2-4e2f-b1d3-f4e02956f344" } ]

{ "coherence": 2.68, "complexity": 0.98, "correctness": 1.85, "helpfulness": 2.04, "instruction-following": 2.59, "safety": 6.26, "verbosity": 0.74, "verbosity-coeff": -0.2046 }

[ { "content": "The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what ia the pice of each of these two books ?\n\n['A)10,12', 'B)10,16', 'C)10,18', 'D)10,19', 'E)10,91']", "role": "user", "uuid": "58a1b66c-ef46-4ead-a3bc-11a6f833ef7b" }, { "content": "Explanation:\nTotal pice of the two books = Rs. [(12 x 10) - (11.75 x 8)]\n= Rs. (120 - 94) = Rs. 26.\nlet the price of one book be Rs. x\nThen, the price of other book = Rs. (x + 60% of x) = Rs. = Rs.\nSo,\nThe prices of the two books are Rs. 10 and Rs. 16\nAnswer: B) 10,16", "role": "assistant", "uuid": "7e3f0ee4-9066-497b-ba01-9ab516c11b51" } ]

{ "coherence": 2.74, "complexity": 0.96, "correctness": 1.77, "helpfulness": 2.21, "instruction-following": 2.49, "safety": 4.81, "verbosity": 0.28, "verbosity-coeff": -0.185 }

[ { "content": "Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?\n\n['A)150 km', 'B)127 km', 'C)1717 km', 'D)166 km', 'E)177 km']", "role": "user", "uuid": "3c1d863e-08b3-44e3-bc3f-4eb57a1e6ed0" }, { "content": "ANSWER: A", "role": "assistant", "uuid": "a1093d3d-f1d7-4a67-919d-970f860878c5" } ]

{ "coherence": 2.45, "complexity": 0.67, "correctness": 1.67, "helpfulness": 1.78, "instruction-following": 2.02, "safety": 5.28, "verbosity": 0.54, "verbosity-coeff": -0.1256 }

[ { "content": "In a series of football matches, the probability that Team P wins a match against Team Q is 1/3 and the probability that the match ends in a draw is 1/5. If the two teams play five matches, what is the probability that all five matches end in a draw?\n\n['A)1/1625', 'B)1/2225', 'C)1/3125', 'D)1/4225', 'E)1/5425']", "role": "user", "uuid": "bd7399a5-ff46-495f-ad7d-49e87528ac2f" }, { "content": "P(5 draws)=(1/5)^5=1/3125\nThe answer is C.", "role": "assistant", "uuid": "3429cd2c-e5b0-4aeb-9e6e-1d569d3ca04b" } ]

{ "coherence": 3.31, "complexity": 0.9, "correctness": 2.76, "helpfulness": 2.92, "instruction-following": 3.6, "safety": 5.16, "verbosity": 0.95, "verbosity-coeff": -0.1553 }

[ { "content": "A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?\n\n['A) 1:2', 'B) 4:5', 'C) 1:1', 'D) 3:2', 'E) 5:3']", "role": "user", "uuid": "94bce26d-7d4f-4395-97eb-298c36180483" }, { "content": "A Raz's company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. 1996- x----- y------- x+y\n1997- x1---- y1-- x1+y1\nx1= a*x .....(P)\ny1= 1.07*y...(Q)\nx1+y1/x+y = 1.01\nsolve using P and Q and find x/y", "role": "assistant", "uuid": "f0f3a956-34ac-4715-a271-d55b057a3f91" } ]

{ "coherence": 2.12, "complexity": 1.32, "correctness": 0.88, "helpfulness": 0.93, "instruction-following": 1.37, "safety": 5.98, "verbosity": 0.52, "verbosity-coeff": -0.2097 }

[ { "content": "Lottery balls numbered consecutively from one through one hundred are placed in a spinner. If one ball is drawn at random, what is the probability that it will have the number 1 on it exactly once?\n\n['A)9/100', 'B)1/10', 'C)11/100', 'D)19/100', 'E)1/5']", "role": "user", "uuid": "4be575fa-b6b5-463e-8c73-8815d4eafdad" }, { "content": "Probability = No of balls with exactly one 1 / total number of balls\n= {1,10,12 to 19, 21,31,41,51,61,71,81,91,100}/100\n= 19/100\nAnswer is D", "role": "assistant", "uuid": "44d37913-7309-4b10-b278-655ce1011b7f" } ]

{ "coherence": 2.62, "complexity": 1.08, "correctness": 2.02, "helpfulness": 2.25, "instruction-following": 3.25, "safety": 5.83, "verbosity": 1.13, "verbosity-coeff": -0.1425 }

[ { "content": "In a ratio which is equal to 2:4, if the antecedent is 50, then the consequent is?\n\n['A)72', 'B)85', 'C)100', 'D)51', 'E)80']", "role": "user", "uuid": "716086ed-11c3-481d-9203-4e889c40db92" }, { "content": "We have 2/4 = 50/x\n2x = 50*4\nx = 100\nconsequent = 100\nAnswer is C", "role": "assistant", "uuid": "c3072976-37cf-44ed-91d6-647ce4ac0386" } ]

{ "coherence": 3, "complexity": 1.42, "correctness": 2.53, "helpfulness": 2.57, "instruction-following": 2.82, "safety": 4.89, "verbosity": 0.77, "verbosity-coeff": -0.1107 }

[ { "content": "If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y\n\n['A)8', 'B)2', 'C)6', 'D)4', 'E)3']", "role": "user", "uuid": "b4d06f82-c589-4dbe-b9e1-5e2356079fa6" }, { "content": "2(l+b)=x;\n2(l+y+b+y)=x+16;\n2(l+b)+4y=x+16;\nx+4y=x+16;\ny=4\nANSWER:D", "role": "assistant", "uuid": "3b33c361-5cac-45a8-9c68-27bc191e1bbb" } ]

{ "coherence": 2.55, "complexity": 2.02, "correctness": 2.2, "helpfulness": 2.25, "instruction-following": 2.59, "safety": 4.81, "verbosity": 1.42, "verbosity-coeff": -0.1135 }

[ { "content": "Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\n\n['A)4', 'B)8', 'C)12', 'D)13', 'E)15']", "role": "user", "uuid": "545f207b-3a53-4d54-b50e-0ea18e7e1a28" }, { "content": "The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.\nAnswer: E.", "role": "assistant", "uuid": "2dc59949-d4ea-4537-901d-e5915893f778" } ]

{ "coherence": 2.78, "complexity": 1.15, "correctness": 2.25, "helpfulness": 2.37, "instruction-following": 2.47, "safety": 5.52, "verbosity": 0.71, "verbosity-coeff": -0.2013 }

[ { "content": "On a test, 15% of the students received an A, 60% of the remaining students received a below a B. What percentage of the students received a B?\n\n['A)15% of the students received a B.', 'B)60% of the students received a B.', 'C)51% of the students received a B.', 'D)66% of the students received a B.', 'E)None of these.']", "role": "user", "uuid": "715a71b6-a17f-4e15-9e1c-4fcc2b682320" }, { "content": "Explanation:\rLet total number of students be 100,\rThen, number of students who received an A = 15.\rNumber of students receiving below a B = 60% of 85 = 51.\rTotal number of students arriving alone = 100 – (15 + 51) = 34.\rThus, 34% of the students received a B.\rAnswer: Option E.", "role": "assistant", "uuid": "a4b071e3-43d3-40c1-bc3a-7d5c013d1eb3" } ]

{ "coherence": 2.68, "complexity": 1.76, "correctness": 2.04, "helpfulness": 2.14, "instruction-following": 2.53, "safety": 5.36, "verbosity": 1.65, "verbosity-coeff": -0.1375 }

[ { "content": "A train A leaves Mysore at 6 a.m. and reaches Bangalore at 10 a.m. Another train leaves B Bangalore at 8 a.m. and reaches Mysore at 11.30 a.m. At what time do the two trains cross each other ?\n\n['A)8.30 a.m.', 'B)8.45 a.m.', 'C)8.56 a.m.', 'D)9 a.m.', 'E)None of these']", "role": "user", "uuid": "ab6bdef4-e9aa-44e5-ac6d-4a7bd57dd1d8" }, { "content": "Explanation :\nSolution: Let the distance between mysore and bangalore be x km and let the trains meet y hours after 8 a.m.\nClearly, A covers x km in 4 hours and B covers x km in 4.5 hrs = (7/2) hrs\n.'. Speed of A = x/4 kmph, speed of B = 2x/7 kmph.\nDistance covered by A in (y+2) hrs + distance covered by B in y hrs = x.\n.'. x/4(y+2) + 2x/7 * y = x\n=> (y+2)/4 + 2y/7 = 1\n=> y = 14/15 hrs =14*60/15 = 56 min.\nHence, the trains meet at 8.56 a.m.\nAnswer : C", "role": "assistant", "uuid": "d3f25c4f-2567-4183-b60f-dec95c2ac836" } ]

{ "coherence": 2.41, "complexity": 2.31, "correctness": 2, "helpfulness": 2.18, "instruction-following": 3.13, "safety": 6.73, "verbosity": 1.84, "verbosity-coeff": -0.1029 }

[ { "content": "The speed of a boat in still water in 22 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:\n\n['A)10.6', 'B)10.2', 'C)10.8', 'D)10.4', 'E)10.0']", "role": "user", "uuid": "ba6c4b1a-a7c0-4dfe-8cb3-a4dbfa071d75" }, { "content": "Speed downstream = (22 + 5) = 27 kmph\nTime = 24 minutes =24/60 hour = 2/5 hour\nDistance travelled = Time × speed =2/5×27 = 10.8 km\nAnswer is C.", "role": "assistant", "uuid": "35ba5680-3e05-41e3-a924-e08ecef77985" } ]

{ "coherence": 3.17, "complexity": 0.87, "correctness": 2.88, "helpfulness": 3, "instruction-following": 4.13, "safety": 4.58, "verbosity": 0.47, "verbosity-coeff": -0.1202 }

[ { "content": "The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?\n\n['A)30', 'B)40 years', 'C)20', 'D)50', 'E)25']", "role": "user", "uuid": "76416666-2516-4fae-b078-98e2ae6ede0d" }, { "content": "Let the present age of the husband = h\nPresent age of the wife = w\nPresent age of the child = c\n3 years ago, average age of husband, wife and their child = 27\n=> Sum of age of husband, wife and their child before 3 years = 3 × 27 = 81\n=> (h-3) + (w-3) + (c-3) = 81\n=> h + w + c = 81 + 9 = 90 --- equation(1)\n5 years ago, average age of wife and child = 20\n=> Sum of age of wife and child before 5 years = 2 × 20 = 40\n=> (w-5) + (c-5) = 40\n=> w + c = 40 + 10 = 50 --- equation(2)\nSubstituting equation(2) in equation(1)\n=> h + 50 = 90\n=> h = 90 - 50 = 40\ni.e., Present age of the husband = 40\nAnswer is B.", "role": "assistant", "uuid": "a7742cea-5de3-4635-8d56-fd1c6baae91d" } ]

{ "coherence": 3.09, "complexity": 1.8, "correctness": 2.61, "helpfulness": 3, "instruction-following": 4.03, "safety": 5.05, "verbosity": 1.63, "verbosity-coeff": -0.1413 }

[ { "content": "After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 700 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?\n\n['A)2160', 'B)2350', 'C)2000', 'D)2300', 'E)1800']", "role": "user", "uuid": "90c4d719-449b-4da5-bd9d-f2f87515b1da" }, { "content": "Explanation :\nTotal Exp = 5000+1500+4500+2500+2000+700 = 16200\nExp in % = 100-10 = 90%, 16200 = 90%\nSaving = 10 % = 16200 X 10/90 = Rs. 1800\nAnswer : E", "role": "assistant", "uuid": "60f6c437-3d19-4add-921c-218723b9056e" } ]

{ "coherence": 2.49, "complexity": 1, "correctness": 1.69, "helpfulness": 1.97, "instruction-following": 3, "safety": 5.12, "verbosity": 0.64, "verbosity-coeff": -0.1148 }

[ { "content": "Given that f(1) = 1 and f(2) = 1. If f(n) = f(n+1) - f(n - 1), then find the value of f(8)−f(7)+f(5)f(7)−f(6)−f(4)\n\n['A)13/2', 'B)13/9', 'C)13/1', 'D)13/6', 'E)13/4']", "role": "user", "uuid": "6e6288f4-b9b5-4b78-88d4-9e15e670c7ce" }, { "content": "f(n) = f(n+1) - f(n - 1)\n⇒⇒ f(n - 1) = f(n + 1) = f(1)\nf(8) - f(7) = f(6) and f(7) - f(6) = f(5)\n⇒⇒f(n + 1) = f(n) + f(n - 1)\n⇒⇒f(3) = f(2) + f(1) = 1 + 1 = 2\n⇒⇒f(4) = f(3) + f(2) = 2 + 1 = 3\n⇒⇒f(5) = f(4) + f(3) = 3 + 2 = 5\n⇒⇒ f(6) = f(5) + f(4) = 5 + 3 = 8\nf(8)−f(7)+f(5)f(7)−f(6)−f(4)=f(6)+f(5)f(5)−f(4)=8+55−3=13/2\nAnswer:A", "role": "assistant", "uuid": "7da6e6fc-48c1-4ce4-a83e-eec10353093e" } ]

{ "coherence": 2.86, "complexity": 2.47, "correctness": 1.99, "helpfulness": 1.81, "instruction-following": 2.66, "safety": 3.41, "verbosity": 1.32, "verbosity-coeff": -0.1235 }

[ { "content": "One out of every 3000 computer chips is defective. If 2 out of every 30 defective chips have defective processors and there are 30 defective processors in the first batch, how many computer chips are there in the first batch?\n\n['A)450', 'B)900', 'C)90,000', 'D)1350,000', 'E)900,000']", "role": "user", "uuid": "08a9b36b-4506-43d2-8833-18816f423a5e" }, { "content": "(D) Read the whole question to get the feel of what they are asking you to find. Then start with the smallest amount and work your way outwards. We are told that two out of every 30 defective chips have a defective processor. Let x be the total number of defective processors in the batch. Because we know 2 out of every 30 defective chips will have defective processors, and the total number of defective processors in the batch is 30, we can write out an equation: (2/30)x = 30. This can be simplified to (1/15)x = 30. Multiplying each side by 15, we arrive at x = 450. This tells us that there are 450 defective chips in the whole batch. Because we know that 1 out of every 1000 chips is defective, we can set up a proportion. If 1 out of every 3000 chips is defective, then 450 out of y chips would be defective, where y is the total number of chips in the batch. This can be set up as an equation as follows: 1/3000 = 450/y. Solve for y and you will get the total number of chips in the batch: 1350,000.\nThe answer is (D).", "role": "assistant", "uuid": "967e1e67-2927-42fb-8734-c0d44a9ec3bb" } ]

{ "coherence": 2.72, "complexity": 1.27, "correctness": 2.43, "helpfulness": 2.51, "instruction-following": 2.64, "safety": 4.13, "verbosity": 1.65, "verbosity-coeff": -0.1259 }

[ { "content": "On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?\n\n['A)Sunday', 'B)Friday', 'C)Saturday', 'D)Monday', 'E)Tuesday']", "role": "user", "uuid": "c438088e-ec92-4f7d-92e9-3532cebfb42e" }, { "content": "Given that 8th Feb, 2005 was Tuesday\nNumber of days from 8th Feb, 2004 to 7th Feb, 2005 = 366 (Since Feb 2004 has 29 days as it is a leap year)\n366 days = 2 odd days\nHence 8th Feb, 2004 = (Tuesday - 2 odd days) = Sunday\nAnswer:A", "role": "assistant", "uuid": "582d407a-0941-4f30-be50-2454525c9885" } ]

{ "coherence": 2.86, "complexity": 1.25, "correctness": 2.29, "helpfulness": 2.45, "instruction-following": 3.41, "safety": 4.46, "verbosity": 1.7, "verbosity-coeff": -0.1183 }

[ { "content": "What is the sum of the digits of integer k, if k = (10^30- 36)\n\n['A)251', 'B)260', 'C)263', 'D)269', 'E)262']", "role": "user", "uuid": "b4421087-e400-401e-8961-2ef9a818564c" }, { "content": "There are 31 digits in 10^30\nWhen we subtract 36 from it, there will be 30 digits left.\n10^30 can be written as 9999999....(30 times) + 1\nSo,\n10^30 - 36 = 9999999....(30 times) + 1 - 36 = 9999999....(30 times) -35\nConsider the last 2 digits,\n99-35 = 64\nThe last 2 digits will be 64.\nAnd our number would be 99999......99964 with 2 less 9s after subtraction.\nNumber of 9s left are 28 and the last two digits are 64\nThe sum of the digits will be\n(28*9) + 6 + 4 =262\nAnswer:- E", "role": "assistant", "uuid": "ca934726-f3d9-473f-a6c3-ecf44cfccc05" } ]

{ "coherence": 2.25, "complexity": 2.02, "correctness": 1.9, "helpfulness": 1.83, "instruction-following": 2.59, "safety": 4.77, "verbosity": 1.46, "verbosity-coeff": -0.1845 }

[ { "content": "A radio station has to choose a week of the four in a month to broadcast a certain program, and that set will repeat each month. The program can be broadcast equally on any of the four week —- 1st week vs. last week don’t matter at all —- nor does it matter whether the week the program airs are adjacent or not. Absolutely any week of the 4 weeks can be chosen. How many different week combinations of the 4 weeks can be constructed?\n\n['A)4', 'B)15', 'C)21', 'D)35', 'E)56']", "role": "user", "uuid": "c3848609-14b6-4862-ae11-9b21844ba4f4" }, { "content": "Pick 1 week out of 4.. 4C1 =4\nAnswer : A", "role": "assistant", "uuid": "418655f6-b1b2-4d46-a765-7ac2023bd7f7" } ]

{ "coherence": 2.57, "complexity": 0.76, "correctness": 2.1, "helpfulness": 2.08, "instruction-following": 2.25, "safety": 4.44, "verbosity": 0.92, "verbosity-coeff": -0.1515 }

[ { "content": "If w persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?\n\n['A)z', 'B)x', 'C)x/y', 'D)z/x', 'E)y/z']", "role": "user", "uuid": "0acdb33d-7da6-42b0-a7de-d314e97cac12" }, { "content": "the Q doesn't seem to be having the any correct answer as a choice..\nsince we are looking for days, lets keep days in end and work out a solution..\nw person can do z jobs in y days..\nso w person can do 1 job in y/z days..\nand 1 person can do 1 job in y^2/z days..\nso y person can complete 1 job in y^2/zy=y/z..\nso the answer should be y/z=E", "role": "assistant", "uuid": "43f5c871-5cfa-443e-bec1-626512792665" } ]

{ "coherence": 2.53, "complexity": 1.73, "correctness": 1.52, "helpfulness": 1.58, "instruction-following": 1.5, "safety": 4.48, "verbosity": 1.35, "verbosity-coeff": -0.1077 }

[ { "content": "When a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that the merchant paid was $109.20, what was the total value of the item?\n\n['A)$1,600', 'B)$1,850', 'C)$2,250', 'D)$2,440', 'E)$2,560']", "role": "user", "uuid": "afe08a8b-55ad-4c52-84b5-924b15f721c4" }, { "content": "Let x be the value of the item.\n0.07*(x-1000) = 109.20\nx = 2560\nThe answer is E.", "role": "assistant", "uuid": "cfb7ed08-5846-4bd0-b897-b5372aeae85d" } ]

{ "coherence": 2.92, "complexity": 0.67, "correctness": 2.21, "helpfulness": 2.39, "instruction-following": 3.09, "safety": 4.48, "verbosity": 0.41, "verbosity-coeff": -0.2059 }

[ { "content": "The average of 10 members is 15665. If 2 members have 20000 then what is the average of remaining?\n\n['A)12581.25', 'B)13581.25', 'C)14581.25', 'D)15581.25', 'E)16581.25']", "role": "user", "uuid": "ece19a9b-49e8-4e10-9589-edeef58c0093" }, { "content": "20000*2+8*x=15665*10\n8x=156650-40000\nx=116650/8\nx=14581.25\nANSWER:C", "role": "assistant", "uuid": "23fcd4db-ad93-49c0-977f-088dc2be20ad" } ]

{ "coherence": 2.88, "complexity": 1.46, "correctness": 2.25, "helpfulness": 2.37, "instruction-following": 3.41, "safety": 5.12, "verbosity": 1.1, "verbosity-coeff": -0.1199 }

[ { "content": "(2^2-1)(2^2+1)(2^4+1)(2^10+1)=\n\n['A)2^18 - 1', 'B)2^16 + 1', 'C)2^32 - 1', 'D)2^128 - 1', 'E)2^16(2^16-1)']", "role": "user", "uuid": "6d1e5f19-0b16-42ea-90bd-63305266c277" }, { "content": "A: is correct\n(2^2-1)* (2^2+1)=(2^4-1)\n(2^4-1)*(2^4+1)=2^8-1\n(2^8-1)*(2^10 +1)=2^18-1\nYou can apply to this formula: a^2- b^2=(a-b)*(a+b)", "role": "assistant", "uuid": "9c491ef9-e282-4198-8941-337441cd996b" } ]

{ "coherence": 3.35, "complexity": 2.49, "correctness": 3.04, "helpfulness": 2.74, "instruction-following": 2.72, "safety": 3.78, "verbosity": 1.22, "verbosity-coeff": -0.1219 }

[ { "content": "My 5 sons are enrolled in an army's platoon of 80 men. The General is choosing randomly 2 men to a suicide mission. What is the probability of both of the selected men will be two of my sons?\n\n['A) 1/80', 'B) 2/80', 'C) 5/80', 'D) 1/316', 'E) 2/316']", "role": "user", "uuid": "ecff2ccb-6d50-4d39-b9e4-d488bbc07414" }, { "content": "My sons are 5 in a group of 80 men. Thus the probability of choosing 2 of my sons is: (5/80)(4/79) = 1/316. The correct answer is D.", "role": "assistant", "uuid": "8b674ed0-1df9-4a90-954d-c6ecc486e5e7" } ]

{ "coherence": 3.09, "complexity": 1.2, "correctness": 2.41, "helpfulness": 2.61, "instruction-following": 3.13, "safety": 5.01, "verbosity": 1.07, "verbosity-coeff": -0.1142 }

[ { "content": "Two airplanes, one from Atlanta to New York and the other from New York to Atlanta, start simultaneously. After they meet, the airplanes reach their destinations after 16 hours and 4 hours respectively The ratio of their speeds is\n\n['A)2 : 3', 'B)4 : 3', 'C)4 : 2', 'D)1 : 2', 'E)None']", "role": "user", "uuid": "09b44d15-5538-495d-b72f-4c61e5e01059" }, { "content": "Solution\nLet us name the planes\nas A and B.\t= (A'S speed) : (B's speed)\n=√b : √a\n= √16 : √4\n= 4 : 2\nAnswer C", "role": "assistant", "uuid": "2a0d239d-041d-4a14-930a-df38085ef582" } ]

{ "coherence": 2.35, "complexity": 1.87, "correctness": 2.02, "helpfulness": 2.08, "instruction-following": 2.59, "safety": 4.85, "verbosity": 1.72, "verbosity-coeff": -0.1493 }

[ { "content": "In a certain series, each term is m greater than the previous term. If the 19th term is 760 and the 16th term is 700, what is the first term?\n\n['A)200', 'B)300', 'C)400', 'D)450', 'E)500']", "role": "user", "uuid": "d97bc80d-5f3c-4549-8293-c3e90d8fe756" }, { "content": "a + 18m = 760 (17th term)\na + 15m = 700 (16th term)\nYou get a = 400 and m = 20\nAnswer: C", "role": "assistant", "uuid": "2aa19750-5cdb-4955-9c44-312f74272b62" } ]

{ "coherence": 2.59, "complexity": 1.59, "correctness": 1.81, "helpfulness": 1.89, "instruction-following": 2.64, "safety": 4.44, "verbosity": 0.62, "verbosity-coeff": -0.1805 }

[ { "content": "The average weight of 4 person's increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. What might be the weight of the new person?\n\n['A)129 kg', 'B)134 kg', 'C)180 kg', 'D)185 kg', 'E)190 kg']", "role": "user", "uuid": "98bbb26f-5ef0-492b-88da-913d693477c4" }, { "content": "Total weight increased = (4 x 8.5) kg = 34 kg.\nWeight of new person = (95 + 34) kg = 129 kg\nOption A", "role": "assistant", "uuid": "58d56c43-e759-4068-8ae9-36ebcd8a7049" } ]

{ "coherence": 3.21, "complexity": 1.39, "correctness": 2.51, "helpfulness": 2.8, "instruction-following": 3.02, "safety": 5.44, "verbosity": 0.86, "verbosity-coeff": -0.1369 }

[ { "content": "If 7% of the sale price of a watch is equivalent to 8% of its cost price and 9% of its sale price exceeds 10% of its cost price by Re 1, then what is the cost price of the watch?\n\n['A)Rs 400', 'B)Rs 350', 'C)Rs 300', 'D)Rs 280', 'E)Rs 380']", "role": "user", "uuid": "2dcb113c-fa36-4cb1-a05b-477d51c29bd4" }, { "content": "Let C.P. = X and S.P. = Y\n=> 7 % of Y = 8% of X and 9% of Y =10% of X + 1\n=> 7Y = 8X and 9Y = 10X + 100\n=> 9 x (8X / 7) = 10 X + 100\n=> X = Rs. 350\nANSWER:B", "role": "assistant", "uuid": "887029b6-83ce-46d8-ab42-8c3c39f61b82" } ]

{ "coherence": 2.7, "complexity": 1.57, "correctness": 1.9, "helpfulness": 2.31, "instruction-following": 3.74, "safety": 5.75, "verbosity": 1.11, "verbosity-coeff": -0.1282 }

[ { "content": "Shawn has $150 to buy a new guitar. he found a guitar strap for $20, a guitar amplifier\nfor $80, and some guitar picks for $8. How much does he have left to buy the guitar?\n\n['A)$52', 'B)$42', 'C)$32', 'D)$22', 'E)$12']", "role": "user", "uuid": "d2f3221f-efd4-4a96-9d84-98ed37933646" }, { "content": "we know that shawn had 150 dollars\nthen we have\n$150all-$20strap-$80 amplifier-$8picks\nwe take\n$52 dollars\ncorrect answer A", "role": "assistant", "uuid": "d2037d57-b32b-48ac-a0fc-3d640cda2fb2" } ]

{ "coherence": 2.88, "complexity": 0.4, "correctness": 2.61, "helpfulness": 2.55, "instruction-following": 3, "safety": 4.93, "verbosity": 1.02, "verbosity-coeff": -0.1178 }

[ { "content": "A taxi company charges $1.85 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?\n\n['A)4 miles', 'B)4 1/4 miles', 'C)4 3/4 miles', 'D)5 1/3 miles', 'E)6 1/4 miles']", "role": "user", "uuid": "cd85410d-0d76-451a-9f7c-57a3cd885c74" }, { "content": "If we start out with $4.90 and have to spend $1.85 for the first quarter-mile, we will have $3.05 left to spend on quarter-mile intervals.\nSince $3.05/$0.15 = 20.33, we can buy 20.33 more quarter-miles, and will travel 21.33 quarter miles in all:\n21.33 × 1/4 = 5 1/3 miles.\nThe correct answer is choice (D).", "role": "assistant", "uuid": "1d89a7c0-83c7-40f0-a0ec-01416634590c" } ]

{ "coherence": 2.96, "complexity": 2.06, "correctness": 2.23, "helpfulness": 2.27, "instruction-following": 3.13, "safety": 4.34, "verbosity": 1.46, "verbosity-coeff": -0.1741 }

[ { "content": "If 3x - y = 6 and x+2y = 8, then what is the value of 4x + y?\n\n['A)1/7', 'B)14', 'C)15', 'D)52/7', 'E)60/7']", "role": "user", "uuid": "838b7df7-cdb6-424c-8789-afabfc0d0eb4" }, { "content": "3x-y=6 ...equation 1\nx+2y=8 ...equation 2\nadding both the equations\n4x+y=14\ncorrect answer option B", "role": "assistant", "uuid": "395f39f9-d672-4b13-bc54-233113ae1146" } ]

{ "coherence": 3.23, "complexity": 1.41, "correctness": 2.86, "helpfulness": 2.9, "instruction-following": 3, "safety": 4.97, "verbosity": 0.98, "verbosity-coeff": -0.163 }

[ { "content": "the total age of A and B is 12 year more than the total age of B and C. C is how many years younger than A ?\n\n['A)12', 'B)24', 'C)data inadequate', 'D)None of these', 'E)34']", "role": "user", "uuid": "d9ac08c2-afeb-40a9-acc6-6d0f2ae0b335" }, { "content": "Solution\n(A + B ) - (B + C) = 12 ⇔ A - C = 12. Answer A", "role": "assistant", "uuid": "20b8193a-0bba-4a2d-8ac5-113f44b36ab8" } ]

{ "coherence": 3.13, "complexity": 1.47, "correctness": 2.78, "helpfulness": 2.94, "instruction-following": 3.31, "safety": 5.59, "verbosity": 0.64, "verbosity-coeff": -0.1255 }

[ { "content": "In a candy dish the ratio of red to yellow candies is 2:5, the ratio of red to green candies is 3:8, and the ratio of yellow ot blue candies is 9:2.what is the maximum total number E of yellow and green candies combined if the maximum combined number of red and blue candies is fewer than 85?\n\n['A)144', 'B)189', 'C)234', 'D)279', 'E)309']", "role": "user", "uuid": "a9598662-2e44-41f1-937b-f055ac574b96" }, { "content": "Given that Red is to yellow is 2:5, Red is to green is 3:8 and Yellow is to blue is 9:2.\nTherefore, the total number of red, yellow, blue and green balls will be 18x, 45x, 10x and 48x respectively, where x is a constant.\nIf the combined number of red and blue balls is fewer than 85, i.e. max 84 balls, then the maximum number of yellow and green balls will be 279.\n(10x+18x) < 85.\n28x < 85, i.e. 28x <= 84 (Since number of balls cannot be in fraction). Thus, x<=3.\n(45x+48x) = 93x.\nMax (93x) E= 279.\nAnswer is D.", "role": "assistant", "uuid": "e3434aa4-2be6-4629-b0a1-b7f1192f735a" } ]

{ "coherence": 2.8, "complexity": 1.92, "correctness": 2.41, "helpfulness": 2.57, "instruction-following": 3.05, "safety": 5.05, "verbosity": 1.47, "verbosity-coeff": -0.1908 }

[ { "content": "Express 15 mps in kmph?\n\n['A)54', 'B)88', 'C)90', 'D)27', 'E)21']", "role": "user", "uuid": "f605b046-483c-499f-a021-bbf94c0c76d2" }, { "content": "15 * 18/5 = 54 kmph\nAnswer:A", "role": "assistant", "uuid": "0bf69afe-44e5-4893-80eb-4eae53a1645e" } ]

{ "coherence": 3.04, "complexity": 0.95, "correctness": 2.94, "helpfulness": 3.05, "instruction-following": 3.56, "safety": 3.93, "verbosity": 0.68, "verbosity-coeff": -0.1097 }

[ { "content": "The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone.\n\n['A)49 π cm2', 'B)40 π cm2', 'C)48 π cm2', 'D)43 π cm2', 'E)41 π cm2']", "role": "user", "uuid": "37fded06-0887-489b-b57a-87026e058fa1" }, { "content": "Explanation:\nπ * 12 * 4 = 48\nAnswer: Option C", "role": "assistant", "uuid": "0029f657-a103-4fe5-b48c-1e1c88413e54" } ]

{ "coherence": 2.78, "complexity": 0.93, "correctness": 2.31, "helpfulness": 2.55, "instruction-following": 2.7, "safety": 5.32, "verbosity": 0.6, "verbosity-coeff": -0.0972 }

[ { "content": "A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is\n\n['A)6%', 'B)5%', 'C)12%', 'D)10%', 'E)8%']", "role": "user", "uuid": "3c67ffb1-4be9-4884-8c07-ade68f92eaf5" }, { "content": "S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.\nS.I. for 5 years = Rs.\t2205/3x 5= Rs. 3675\nPrincipal = Rs. (9800 - 3675) = Rs. 6125.\nHence, rate =(100 x 3675)/(6125 x 5)%\t= 12%\nanswer : C", "role": "assistant", "uuid": "67b5bb65-fa2c-46bb-87f1-663bf0f71f29" } ]

{ "coherence": 2.78, "complexity": 1.47, "correctness": 2.1, "helpfulness": 2.41, "instruction-following": 3.7, "safety": 5.75, "verbosity": 0.88, "verbosity-coeff": -0.1138 }

[ { "content": "Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 20 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?\n\n['A)565', 'B)444', 'C)676', 'D)767', 'E)432']", "role": "user", "uuid": "6da7c763-506b-429b-b752-6fd80f5d7d2e" }, { "content": "1h ----- 4\n? ------ 60\n12 h\nRS = 16 + 20 = 36\nT = 12\nD = 36 * 12 =432\nAnswer: E", "role": "assistant", "uuid": "88632be2-7f13-4c88-8336-a27f3ea128e2" } ]

{ "coherence": 2.33, "complexity": 1.12, "correctness": 1.53, "helpfulness": 1.86, "instruction-following": 2.29, "safety": 5.83, "verbosity": 0.48, "verbosity-coeff": -0.1172 }

[ { "content": "In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?\n\n['A)2.5', 'B)3', 'C)4', 'D)5', 'E)6']", "role": "user", "uuid": "0a949668-4c9a-4ed7-b938-48e4ac418804" }, { "content": "Speed = 144 * 5/18 = 40 m/sec\nTime taken = 100/40 = 2.5 sec.\nAnswer: Option A", "role": "assistant", "uuid": "c4659679-cfa3-4411-be09-0f92b16920b4" } ]

{ "coherence": 2.78, "complexity": 1.45, "correctness": 2.94, "helpfulness": 2.9, "instruction-following": 3.93, "safety": 5.52, "verbosity": 1.09, "verbosity-coeff": -0.1021 }

[ { "content": "A sum of money deposited at C.I. amounts to Rs.1820 in 4 years and to Rs.2402 in 5 years. Find the rate percent?\n\n['A)30%', 'B)31%', 'C)34%', 'D)19%', 'E)50%']", "role": "user", "uuid": "c539ce1f-0064-4488-a158-36fff6ed1777" }, { "content": "1820 --- 582\n100 --- ? => 31%\nAnswer: B", "role": "assistant", "uuid": "8de54943-e4c7-44c1-8617-832a08635bf6" } ]

{ "coherence": 2.35, "complexity": 1.08, "correctness": 1.65, "helpfulness": 1.81, "instruction-following": 2.39, "safety": 5.98, "verbosity": 0.22, "verbosity-coeff": -0.1255 }

[ { "content": "If M and N are positive integers that have remainders of 2 and 3, respectively, when divided by 5, which of the following could NOT be a possible value of M+N?\n\n['A)80', 'B)52', 'C)35', 'D)25', 'E)10']", "role": "user", "uuid": "ecf8a211-b4bb-428c-8208-b1d89bcd4a34" }, { "content": "M=5p+2\nN=5q+3\nWe need M+N=5p+2+5q+3=5(p+q)+5\nPick numbers for pq\nSince it is an addition of pq and the answer to this expression should be an integer (because all the numbers being added are integers),\nwe just need to choose values so that we get integer multiples of 5 so\np+q=0 ; M+n = 5\np+q=1 ; M+N = 10\nP+q=2 ; M+N = 15\nand so on, so basically you get something like - 5,,10,15,20,25,30,..... all are multiples of 5 except 52\nSo Answer B.", "role": "assistant", "uuid": "529bd9ec-9869-4ba0-8de5-fce9ea12e79a" } ]

{ "coherence": 2.64, "complexity": 1.84, "correctness": 2.31, "helpfulness": 2.33, "instruction-following": 2.33, "safety": 5.28, "verbosity": 1.5, "verbosity-coeff": -0.2322 }

[ { "content": "Having received his weekly allowance, a student spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.40 at the candy store. What is this student’s weekly allowance?\n\n['A)$1.20', 'B)$1.50', 'C)$1.80', 'D)$2.00', 'E)$2.50']", "role": "user", "uuid": "88107e6a-69bc-49c6-b3dd-a21936609339" }, { "content": "Let x be the value of the weekly allowance.\n(2/3)(2/5)x = 40 cents\n(4/15)x = 40\nx = $1.50\nThe answer is B.", "role": "assistant", "uuid": "ad8e2167-aa83-473c-bd02-ffec91e4915e" } ]

{ "coherence": 3.09, "complexity": 1.37, "correctness": 2.41, "helpfulness": 2.55, "instruction-following": 3.58, "safety": 4.07, "verbosity": 0.58, "verbosity-coeff": -0.1299 }

[ { "content": "Ravi bought 5 pencil and 10 eraser for Rs 4 . Sheetal bought 3 pencil and 9 eraser for Rs 3 then what would be the cost of pencil and eraser.\n\n['A).15p, .30p', 'B).50p,.27p', 'C).40p,.20p', 'D).20p,.40p', 'E).50p,.40p']", "role": "user", "uuid": "a191db74-7170-4e08-8d75-b53aff81e2d1" }, { "content": "Let pencil be x and eraser be y so\n5x+10y=4\n3x+9y=3\nBy solving the above two equations we get x=.40p and y=.20p correct ans is C", "role": "assistant", "uuid": "e0adf789-a1ec-40af-920a-20f6ff8e3910" } ]

{ "coherence": 2.9, "complexity": 1.67, "correctness": 2.18, "helpfulness": 2.18, "instruction-following": 3.13, "safety": 6.34, "verbosity": 0.61, "verbosity-coeff": -0.1192 }

[ { "content": "Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\n\n['A)Rs.1261', 'B)Rs.9261', 'C)Rs.9621', 'D)Rs.9162', 'E)Rs.9100']", "role": "user", "uuid": "c6498917-6d30-4e8e-ac26-6a90afeaadfb" }, { "content": "Explanation:\nA = 8000(21/20)3 = 9261\nANSWER IS B", "role": "assistant", "uuid": "d502de92-4245-4b14-9305-58584749e8be" } ]

{ "coherence": 2.66, "complexity": 1.51, "correctness": 2.29, "helpfulness": 2.57, "instruction-following": 3.8, "safety": 5.55, "verbosity": 0.95, "verbosity-coeff": -0.1107 }

[ { "content": "Tough and Tricky questions: Exponents.\nIf a and b are positive integers and x = 8^a and y = 7^b, which of the following is a possible units digit of xy?\n\n['A)1, 4', 'B)4, 1, 2', 'C)5, 8', 'D)2, 4, 6 and 8', 'E)8, 6']", "role": "user", "uuid": "6485706a-0809-4459-879b-dbeca7ec9b3a" }, { "content": "Only Units digit of X and Y contribute to the Units digit of XY.\nFinding all values ofXfor positive values ofa\nWhen,\na=1; X=8\na=2; X=64\na=3; X=512\na=4; X=2048........ Units digit repeat in a cycle of 8,4,2,8......\nSimilarly, Finding all values ofYfor positive values ofb\nWhen,\nb=1; Y=7\nb=2; Y= 49\nb=3; Y= 343\nb=4; Y=2041\nb=5; Y=16807....... Units digit repeat in cycle of 7,9,3,1,7,9,3....\nSo, possible value of Units digit of XY can be found by considering all possibilities of Units digit of X and Y\nWhen X=8 and Y=7: Units digit of XY = 56\nWhen X=8 and Y=9: Units digit of XY = 72\nWhen X=8 and Y=3: Units digit of XY = 24\nWhen X=4 and Y=7: Units digit of XY = 28\nWhen X=4 and Y=9: Units digit of XY = 36\nWhen X=4 and Y=3: Units digit of XY = 12\nWhen X=2 and Y=7: Units digit of XY = 14\nWhen X=2 and Y=9: Units digit of XY = 18\nWhen X=2 and Y=3: Units digit of XY = 6\nOnly four possibilities for Units digit of XY i.e. 2, 4, 6 and 8\ntherefore answer is D", "role": "assistant", "uuid": "f9f31442-dfc3-4900-a9d5-a2a8c5bd9728" } ]

{ "coherence": 3.02, "complexity": 2.35, "correctness": 2.76, "helpfulness": 2.88, "instruction-following": 2.98, "safety": 6.77, "verbosity": 1.95, "verbosity-coeff": -0.134 }

[ { "content": "If 314,314 football shoes need to be placed in boxes and each box can contain at most 6 pair of football shoes. How many pair of football shoes will be in the last unfilled box?\nOptions:\n\n['A)1football shoes', 'B)3 football shoes', 'C)4 football shoes', 'D)7 football shoes', 'E)9 football shoes']", "role": "user", "uuid": "1a783588-1d92-4402-83ff-a9e0a77e9afb" }, { "content": "The number of football shoes that can be placed in boxes of 6 football shoes is the first number that is divisible by 6 that occurs before 314,314.\nIn order to divide the sum in 6 parts, the amount must be divisible by 6\nDivisibility rule of 6: The sum of the digits must be divisible by 6\nSum of digits of 314,314 = 16 and 6 is divisible by 6.\nHence, we need to remove 4 to this number for it to be divisible by 6\nCorrect Option: c", "role": "assistant", "uuid": "16b6e8b9-600c-4c65-bdcf-f49763f1ee8a" } ]

{ "coherence": 2.2, "complexity": 1.79, "correctness": 1.07, "helpfulness": 1.19, "instruction-following": 0.9, "safety": 5.24, "verbosity": 1.63, "verbosity-coeff": -0.1154 }

[ { "content": "What percent of the year 2017 is 219 days?\n\n['A)56%', 'B)72%', 'C)64,5%', 'D)51%', 'E)60%']", "role": "user", "uuid": "f32bbc78-4790-47c3-9329-11fc01a6f49b" }, { "content": "Explanation :\nTotal days in the year 2017 = 365\nRequired percentage = (219/365) × 100 = 60%\nAnswer : Option D", "role": "assistant", "uuid": "c1edb4da-ca6e-4f0f-ab4d-35e978459a64" } ]

{ "coherence": 2.78, "complexity": 1.29, "correctness": 2.2, "helpfulness": 2.33, "instruction-following": 2.27, "safety": 4.93, "verbosity": 1.16, "verbosity-coeff": -0.1145 }

[ { "content": "0.0023*0.13/0.236=my age\n0.022*0.12/0.220=my wife age\nthen what is difference b/w ages?\n\n['A)0.01073', 'B)0.02073', 'C)0.03076', 'D)0.04078', 'E)0.0578']", "role": "user", "uuid": "bf84eea6-d903-434c-aca0-4dcbd444258f" }, { "content": "My age = 0.0023*0.13/0.236 = 0.000299/0.236 = 0.001266949\nMy wife age = 0.022*0.12/0.220 = 0.00264/0.220 = 0.012\ndifference b/w ages = 0.012 - 0.001266949 = 0.01073\nANSWER:A", "role": "assistant", "uuid": "0517ba3a-e1d1-44a8-a70b-d584e6599b62" } ]

{ "coherence": 2.86, "complexity": 1.43, "correctness": 2.2, "helpfulness": 2.25, "instruction-following": 2.9, "safety": 3.23, "verbosity": 1.39, "verbosity-coeff": -0.1176 }

[ { "content": "A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?\n\n['A)299', 'B)277', 'C)240', 'D)88', 'E)112']", "role": "user", "uuid": "c72bc88c-961e-4719-8a44-53490d71c03e" }, { "content": "Speed = [54 * 5/18] m/sec = 15 m/sec.\nLength of the train = (15 * 20) m = 300 m.\nLet the length of the platform be x meters.\nThen, x + 300 / 36 = 15\nx + 300 = 540\nx = 240 m.\nAnswer:C", "role": "assistant", "uuid": "8eb1337f-2c69-4103-939b-efc5281bcde6" } ]

{ "coherence": 3, "complexity": 1.5, "correctness": 2.59, "helpfulness": 2.74, "instruction-following": 4.21, "safety": 5.87, "verbosity": 1.46, "verbosity-coeff": -0.1175 }

[ { "content": "A person was asked to state his age in years. His reply was , \"Take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old I am.\" What was the age of the person ?\n\n['A)18', 'B)20', 'C)24', 'D)30', 'E)35']", "role": "user", "uuid": "0453f6a1-4ad7-4471-a95d-ca9e5003f626" }, { "content": "Explanation:\nLet the present age of person be x years.\nThen, 3(x + 3) - 3(x - 3 ) = x <=> (3x + 9) - (3x - 9) = x <=> x = 18\nANSWER IS A", "role": "assistant", "uuid": "34e0507b-1465-4be4-a50c-50bc865e8e37" } ]

{ "coherence": 2.72, "complexity": 2.41, "correctness": 2, "helpfulness": 2.18, "instruction-following": 3.43, "safety": 4.38, "verbosity": 1.81, "verbosity-coeff": -0.1259 }

[ { "content": "Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.3200?\n\n['A)8100', 'B)3388', 'C)7767', 'D)4050', 'E)2288']", "role": "user", "uuid": "c1edffb4-e62f-4501-82ba-a01df6abfc2c" }, { "content": "3200* 9/8 * 9/8\n= 4050\nAnswer: D", "role": "assistant", "uuid": "cccfbaae-00ba-4db4-b7f6-b8333ae5249e" } ]

{ "coherence": 2.76, "complexity": 0.96, "correctness": 2.29, "helpfulness": 2.59, "instruction-following": 3.6, "safety": 5.95, "verbosity": 0.52, "verbosity-coeff": -0.1121 }

[ { "content": "A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?\n\n['A)30', 'B)31.25', 'C)31', 'D)32', 'E)33']", "role": "user", "uuid": "ba1dae6f-f1d4-4ce7-acdf-ef6ccfeb3206" }, { "content": "Distance d = 1200km\nlet x be the speed\nhe walks 15 hours a day(ie 24 - 9)... so totally he walks for 1050hrs...\nx = 1200/1050 => 120/105 = 24/21 => 8/7kmph\ngiven 1 1/2 of prev speed\nso 3/2 * 8/7= 24/14 = 12/7\nnew speed = 12/7kmph\nnow he rests 10 hrs a day ... means he walks 14 hrs a day...\ntime = 750 * 7 /12 => 437.5hrs\n=> 437.5/14 = 31.25\nANSWER:B", "role": "assistant", "uuid": "0cec1c85-f521-4638-b256-777d38df8435" } ]

{ "coherence": 2.51, "complexity": 1.39, "correctness": 2.27, "helpfulness": 2.35, "instruction-following": 3.6, "safety": 5.09, "verbosity": 1.56, "verbosity-coeff": -0.1325 }

[ { "content": "When x - p is divided by p , the quotient is n and there is no remainder. Which of the following must be the value of x?\n\n['A)p(n + 1)', 'B)n(p + 1)', 'C)p(n + 1) + 2n', 'D)p(n - 1) + 2n', 'E)n(p + 1) (p − 1)']", "role": "user", "uuid": "3a55a1f4-1c55-41df-b457-3b63a42ef3a3" }, { "content": "Given in question (x-p)/p= n\n=> x-p= np\n=>x= np+p\nNow we are good to check the options\nx= p(n+1)\nAnswer A", "role": "assistant", "uuid": "021a4e5a-8b0a-4e5f-81fd-789ed1eadf78" } ]

{ "coherence": 2.84, "complexity": 1.81, "correctness": 2.16, "helpfulness": 2.27, "instruction-following": 2.39, "safety": 4.73, "verbosity": 0.87, "verbosity-coeff": -0.1531 }

[ { "content": "The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\n\n['A)80,47 kmph', 'B)80,80 kmph', 'C)80,42 kmph', 'D)90,50 kmph', 'E)83,40 kmph']", "role": "user", "uuid": "131e4593-0556-4113-bd1f-c0eb2533b9fb" }, { "content": "Speed downstream = 70 + 20 = 90 kmph\nSpeed upstream = 70 - 20 = 50 kmph.Answer:D", "role": "assistant", "uuid": "a3913408-7fc8-4194-88bc-bba55d285289" } ]

{ "coherence": 2.94, "complexity": 1.01, "correctness": 2.45, "helpfulness": 2.59, "instruction-following": 2.74, "safety": 4.89, "verbosity": 0.48, "verbosity-coeff": -0.1199 }

[ { "content": "((1^m)/(5^m))((1^17)/(4^17)) = 1/(2(10)^33)\nWhat is m?\n\n['A)17', 'B)18', 'C)34', 'D)35', 'E)33']", "role": "user", "uuid": "88102ff6-c126-4385-bf93-4bc79f740f1d" }, { "content": "((1^m)/(5^m))((1^17)/(4^17)) = 1/(2(10)^33)\n((1/5)^m ) * ((1/2)^34) = 1/ (2 * (2*5)^33))\n2^36 will cancel out,since 1 can be written as 1^35 ,So (1/5)^m= (1/5)^33\n((1/5)^m ) * ((1/2)^34) = 1/[(2^34)*(5^33)]\nSo, m=33\nAnswer E", "role": "assistant", "uuid": "b262798d-d22b-4658-8842-9b6399aed73a" } ]

{ "coherence": 2.68, "complexity": 2.14, "correctness": 2.02, "helpfulness": 1.7, "instruction-following": 2.18, "safety": 4.5, "verbosity": 1.59, "verbosity-coeff": -0.1233 }

[ { "content": "275.124 x 16.98 ÷ 5.001 + 22.22 = ?\n\n['A)983.578', 'B)659.121', 'C)957.641', 'D)656.112', 'E)456.512']", "role": "user", "uuid": "e9124a20-9a6d-49bd-b74f-650cb2cab2b3" }, { "content": "Explanation:\n? = 275.124 x 16.98 ÷ 5.001 + 22.22 = ?\n≈ (275.124 x 17/5) + 22.22 ≈ 935.421 + 22.22 ≈ 957.641\nAnswer: Option C", "role": "assistant", "uuid": "5fde8db9-2e57-498a-bd3d-94fd533863e0" } ]

{ "coherence": 2.18, "complexity": 1.3, "correctness": 1.99, "helpfulness": 2.2, "instruction-following": 2.92, "safety": 3.78, "verbosity": 1.48, "verbosity-coeff": -0.0747 }

[ { "content": "What is the square root of 239,121?\n\n['A)476', 'B)489', 'C)497', 'D)511', 'E)524']", "role": "user", "uuid": "a4d01a4e-bf91-41db-9514-a52ea1fc0cab" }, { "content": "According to divisibility rules, 239,121 is divisible by 9.\n2+3+9+1+2+1=18\nThis means, that the answer choice must be divisible by 3\nA) 4+7+6= 17 NO\nB) 4+8+9= 21 YES\nC) 4+9+7= 20 NO\nD) 5+1+1= 7 NO\nE) 5+2+4= 11 NO\nB is the only answer", "role": "assistant", "uuid": "752c17de-10dd-41ec-9da5-fbd10ce1d477" } ]

{ "coherence": 2.39, "complexity": 1.45, "correctness": 1.51, "helpfulness": 1.52, "instruction-following": 1.36, "safety": 4.73, "verbosity": 1.1, "verbosity-coeff": -0.1018 }

[ { "content": "12.5% of 192 = 50% of ?\n\n['A)48', 'B)96', 'C)24', 'D)None of these', 'E)Cannot be determined']", "role": "user", "uuid": "991f65a6-0319-47a7-9f77-84ffbfed351f" }, { "content": "Answer\nLet 12.5% of 192 = 50% of A,\n⇒(12.5 x 192) / 100 = (50 x A) / 100\n∴ A = (12.5 x 192) / 50 = 48\nCorrect Option: A", "role": "assistant", "uuid": "1fb5b265-85f4-474e-9258-941a56d98e4b" } ]

{ "coherence": 2.86, "complexity": 1.68, "correctness": 2.12, "helpfulness": 2.25, "instruction-following": 3.11, "safety": 5.91, "verbosity": 0.95, "verbosity-coeff": -0.1203 }

[ { "content": "Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?\n\n['A)a. 4', 'B)b. 5/2', 'C)c. 2', 'D)d. 3/2', 'E)e. 5/4']", "role": "user", "uuid": "ff544371-2b37-4fba-9da6-f513f3ab17d6" }, { "content": "let the weight of nail be n and that of screw be s..\nso s+w=1/2 * (6s+1n)...\nor 1n = 4s..\nlets see the weight of 3 s and 3n= 3s+3*4s=15s..\nand weight of 1s and 5n= 1s+5*1s=6s..\nratio= 15s/6s=15/6=5/2\nB", "role": "assistant", "uuid": "36852e59-796b-45aa-beb5-3dcacf9fb5e8" } ]

{ "coherence": 2.39, "complexity": 1.79, "correctness": 1.83, "helpfulness": 1.91, "instruction-following": 2.64, "safety": 4.93, "verbosity": 1.48, "verbosity-coeff": -0.151 }

[ { "content": "If the perimeter of a rectangular garden is 680 m, its length when its breadth is 82 m is?\n\n['A)286 m', 'B)899 m', 'C)200 m', 'D)166 m', 'E)258 m']", "role": "user", "uuid": "0e8c2972-3159-4971-869d-639074e22752" }, { "content": "2(l + 82) = 680 => l\n= 258 m\nAnswer: E", "role": "assistant", "uuid": "96cae400-2b10-40f3-aea0-ce8e939a7c08" } ]

{ "coherence": 3.07, "complexity": 0.92, "correctness": 2.2, "helpfulness": 2.72, "instruction-following": 3.37, "safety": 6.22, "verbosity": 0.55, "verbosity-coeff": -0.1125 }

[ { "content": "Simple interest on a certain sum is 36 over 25 of the sum. Find the rate per cent and time, if both are equal.\n\n['A)8% and 8 years', 'B)6% and 6 years', 'C)10% and 10 years', 'D)12 % and 12 years', 'E)None of these']", "role": "user", "uuid": "2ca189f5-ad59-4837-a82b-62df76003f82" }, { "content": "36⁄25P = P×R×R/100\n⇒ R^2 = 3600⁄25 ⇒144=> R = 12%\nAlso, time = 12 years\nAnswer D", "role": "assistant", "uuid": "d837570d-fa83-492c-852d-89218a8ec107" } ]

{ "coherence": 2.23, "complexity": 1.99, "correctness": 2.23, "helpfulness": 2.31, "instruction-following": 3.29, "safety": 5.63, "verbosity": 1.62, "verbosity-coeff": -0.0994 }

[ { "content": "A,B,C can complete a piece of work in 25,5,10 days. Working together, they complete the same work in how many days?\n\n['A)2', 'B)4/5', 'C)50/17', 'D)10', 'E)24/7']", "role": "user", "uuid": "14862320-a322-4300-b8c6-56cf2823bdd2" }, { "content": "A+B+C 1day work = 1/25 + 1/5 + 1/10 = 17/50\nA,B,C together will complete the job in 50/17 days\nAnswer is C", "role": "assistant", "uuid": "72eed803-b3a6-48f1-b233-28ec0d0e622a" } ]

{ "coherence": 2.82, "complexity": 1.25, "correctness": 2.45, "helpfulness": 2.57, "instruction-following": 3.72, "safety": 5.2, "verbosity": 0.85, "verbosity-coeff": -0.1254 }

[ { "content": "1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?\n\n['A)12.8', 'B)12.4', 'C)12.5', 'D)16.8', 'E)92.7']", "role": "user", "uuid": "01ee51e3-54bb-486d-b8d6-2017c3bd1a46" }, { "content": "1000*15\n= 1200*x\nx = 12.5\nAnswer: C", "role": "assistant", "uuid": "46005c71-e79a-4c93-bc3a-f640407b47ce" } ]

{ "coherence": 2.55, "complexity": 1.13, "correctness": 1.99, "helpfulness": 2.1, "instruction-following": 2.49, "safety": 5.48, "verbosity": 0.52, "verbosity-coeff": -0.1201 }

[ { "content": "A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $186, how many hours overtime did he work?\n\n['A)8', 'B)5', 'C)9', 'D)6', 'E)11']", "role": "user", "uuid": "82872761-5787-408e-bc2d-6346fa24346a" }, { "content": "At $3 per hour up to 40 hours, regular pay = $3 x 40 = $120 If total pay = $168, overtime pay = $186 - $120 = $66 Overtime rate (twice regular) = 2 x $3 = $6 per hour => number of overtime hours = $66/$6 = 11\nAns is E", "role": "assistant", "uuid": "f8e52951-a8a6-4b7e-ac2c-6edd0bf95a5b" } ]

{ "coherence": 2.9, "complexity": 1.43, "correctness": 2.53, "helpfulness": 2.74, "instruction-following": 3.09, "safety": 4.62, "verbosity": 1.41, "verbosity-coeff": -0.1625 }

[ { "content": "Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.4500. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?\n\n['A)Rs.750, Rs.2250', 'B)Rs.2000, Rs.750', 'C)Rs.750, Rs.2000', 'D)Rs.800, Rs.1250', 'E)Rs.900, Rs.1250']", "role": "user", "uuid": "71efcdee-96c2-4b21-bc0f-5aa89ad60730" }, { "content": "Minu’s one day’s work = 1/3 - 1/6 + 1/9= 1/3 - 5/18 = 1/18\nAnu’s wages: Binu’s wages: Minu’s wages = 1/6 : 1/9 : 1/18 = 6: 4: 2\nMinu’s share = Rs.4500* 2/12 = Rs.750\nAnu’s share = Rs.4500* 6 /12 = Rs.2250\nANSWER:A", "role": "assistant", "uuid": "8eeaac8c-5ae4-4bc7-b132-b62cfa174262" } ]

{ "coherence": 2.98, "complexity": 0.88, "correctness": 2.33, "helpfulness": 2.68, "instruction-following": 3.66, "safety": 4.85, "verbosity": 0.72, "verbosity-coeff": -0.1123 }

[ { "content": "The sides of a square region, measured to the nearest centimeter, are 5 centimeters long. The least possible value of the actual area of the square region is\n\n['A)25.25 sq cm', 'B)20.25 sq cm', 'C)30.25 sq cm', 'D)36.25 sq cm', 'E)40.25 sq cm']", "role": "user", "uuid": "ae12d53e-8e3d-40ed-8cc2-bb960744f304" }, { "content": "Though there might be some technicalities concerning the termnearest(as 4.5 is equidistant from both 4 and 5) the answer still should be : 4.5^2=20.25.\nAnswer: B", "role": "assistant", "uuid": "792c9893-d3d1-4e8e-aac1-6c88f07e69c3" } ]

{ "coherence": 2.8, "complexity": 1.08, "correctness": 2.33, "helpfulness": 2.37, "instruction-following": 3.02, "safety": 5.87, "verbosity": 1.11, "verbosity-coeff": -0.1833 }

[ { "content": "Sandy invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Sandy got back 2 times the original investment. What is the value of n?\n\n['A)12.5', 'B)18.5', 'C)24.5', 'D)30.5', 'E)36.5']", "role": "user", "uuid": "6b3ede82-1291-481a-844b-5d3cb62cbe1a" }, { "content": "n* 0.08 * principal + principal = 2 * principal\nn * 0.08 = 1\nn = 12.5 years\nThe answer is A.", "role": "assistant", "uuid": "accef707-1066-45db-a294-39d1f40f06b8" } ]

{ "coherence": 3.31, "complexity": 1.23, "correctness": 2.39, "helpfulness": 2.68, "instruction-following": 3.35, "safety": 4.93, "verbosity": 0.33, "verbosity-coeff": -0.1352 }

[ { "content": "The average weight of 46 students in a class is 52 kg. 5 of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class ?\n\n['A)51 1⁄23', 'B)52 15/23', 'C)52 15⁄3', 'D)43.42', 'E)None of these']", "role": "user", "uuid": "eb427885-61cc-457a-847a-729ca22ee6f3" }, { "content": "Total weight of 46 students\n= 46 × 52 = 2392 kg\nTotal weight of 5 students who leave\n= 5 × 48 = 240 kg\nTotal weight of 5 students who join\n= 5 × 54 = 270 kg\nTherefore, new total weight of 46 students\n= 2392 – 240 + 270 = 2422\n⇒ New average weight = 2422⁄46 = 52 15/23 kg\nAnswer B", "role": "assistant", "uuid": "c8775296-5384-4190-a3ae-38f055f6397a" } ]

{ "coherence": 2.82, "complexity": 1.47, "correctness": 2.8, "helpfulness": 3.02, "instruction-following": 4.5, "safety": 5.63, "verbosity": 1.43, "verbosity-coeff": -0.122 }

[ { "content": "30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.\n\n['A)10', 'B)11', 'C)12', 'D)13', 'E)14']", "role": "user", "uuid": "fc23df6a-515f-4f07-b74a-c06cdc8a7345" }, { "content": "Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (510 – 150) = 360\n∴ Average price of a pen = 360⁄60 = 12\nAnswer C", "role": "assistant", "uuid": "7a672c71-4b5e-4eab-8141-b38dccefdfcc" } ]

{ "coherence": 2.7, "complexity": 1.36, "correctness": 2.02, "helpfulness": 2, "instruction-following": 3.25, "safety": 5.05, "verbosity": 1.3, "verbosity-coeff": -0.1157 }

[ { "content": "The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be:\n\n['A)5:2', 'B)7:3', 'C)9:2', 'D)13:4', 'E)3:4']", "role": "user", "uuid": "f47e86c1-5024-4cee-82c1-3c94d6de6f9a" }, { "content": "Let the age of father and son 10 years ago be 3x and x years respectively.\nThen, (3x + 10) + 10 = 2[(x + 10) + 10]\n3x + 20 = 2x + 40 => x = 20.\nRequired ratio = (3x + 10):(x + 10) = 70:30 = 7:3\nANSWER:B", "role": "assistant", "uuid": "10f023af-9417-4b9a-b977-71e21ee240ab" } ]

{ "coherence": 2.82, "complexity": 1.65, "correctness": 2.47, "helpfulness": 2.72, "instruction-following": 3.31, "safety": 5.01, "verbosity": 1.17, "verbosity-coeff": -0.1312 }

[ { "content": "A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?\n\n['A)11:00', 'B)11:30', 'C)12:00', 'D)12:30', 'E)1:00']", "role": "user", "uuid": "035b6b88-89ec-4da0-8d87-e6f365d67141" }, { "content": "In thirty minutes the first train travels 35 km.\nThe second train catches the first train at a rate of 84 km/h - 70 km/h = 14 km/h.\nThe second train will catch the first train in 35/14 = 2.5 hours, so at 12:00 noon.\nThe answer is C.", "role": "assistant", "uuid": "d8f1d7e4-17c0-4ede-9da0-c03dbbb71ca4" } ]

{ "coherence": 3.07, "complexity": 1.63, "correctness": 2.76, "helpfulness": 2.92, "instruction-following": 3.76, "safety": 5.01, "verbosity": 1.28, "verbosity-coeff": -0.129 }

[ { "content": "If 5^5 × 5^x = (125)^4 , then what is the value of x?\n\n['A)2', 'B)3', 'C)5', 'D)6', 'E)7']", "role": "user", "uuid": "81b93b0f-a405-45c3-989f-79c56814426c" }, { "content": "5^5 × 5^x = (125)^4\n5^(5+x) = 5^12\nSince they have the same base we can just set the exponents equal to each other: (5+x) = 12\nx=7\nAns. E) 7", "role": "assistant", "uuid": "8d83d19e-8782-410c-8866-801992794184" } ]

{ "coherence": 2.96, "complexity": 1.88, "correctness": 2.37, "helpfulness": 2.49, "instruction-following": 2.92, "safety": 4.62, "verbosity": 1.06, "verbosity-coeff": -0.1255 }