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[ { "content": "Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.84. How much was lent at 5%?\n\n['A)600', 'B)2998', 'C)277', 'D)500', 'E)271']", "role": "user", "uuid": "2530ae84-776f-4569-b3a2-8897a47947bf" }, { "content": "(x*5*1)/100 + [(1500 - x)*6*1]/100 = 84\n5x/100 + 90 – 6x/100 = 84\nx/100 = 6\n=> x = 600.Answer: A", "role": "assistant", "uuid": "29a6dbf2-b3c1-46e8-bc8c-d657ec751966" } ]

{ "coherence": 3.15, "complexity": 1.46, "correctness": 2.8, "helpfulness": 2.8, "instruction-following": 3.76, "safety": 3.95, "verbosity": 0.9, "verbosity-coeff": -0.1251 }

[ { "content": "A password of a computer used five digits where they are from 0 and 9. What is the probability that the first digit of the password is a 0 and the second digit is even ?\n\n['A)1/10', 'B)1/15', 'C)1/20', 'D)1/100', 'E)1/200']", "role": "user", "uuid": "d230b074-d066-4a31-ac95-dc6ca8276cae" }, { "content": "There is one possibility out of ten that the first digit is zero, and five possibilities out of ten that the second digit is even. We don't care about the remaining digits, so the overall probability is 1/10 * 5/10 or 1/20 or answer C.", "role": "assistant", "uuid": "7cbb217c-d07f-44c3-b49c-2821d38b1f56" } ]

{ "coherence": 3.09, "complexity": 1.45, "correctness": 2.59, "helpfulness": 2.59, "instruction-following": 3.41, "safety": 5.28, "verbosity": 1.24, "verbosity-coeff": -0.1249 }

[ { "content": "If n is a 25-digit positive integer, all of whose digits are the same, which of the following must be true?\nI. n is divisible by 5\nII. n is divisible by 10\nIII. n is divisible by 25\n\n['A)I only', 'B)I and II only', 'C)I and III only', 'D)II and III only', 'E)I, II and III only']", "role": "user", "uuid": "c364a6ef-39ee-4cfc-ac3c-3dbb55111b79" }, { "content": "Rule for divisibility by 5: The sum of the digits of the number should be multiple of 3\nRule for divisibility by 10: The sum of the nos digits of the number should be divisible by 5 or the number should be divisible by 5 two times.\nRules for divisibility by 25: The sum of the digits should a multiple of 25\nConsider no 11111111...25 times = The sum 25*1=25----> divisbible by 5,10 and 25\nconsider number to be 222....25 times, then sum of the no. 25*2=50 divisibly by 5,10 and 25\nSo why so because when you sum the numbers either you can add the digits 25 times or multiply the digit *25..\nNote that since 25 is divisble by 25,10 and 5 and thus the sum of the nos will be divisible by all the nos.\nAns is E", "role": "assistant", "uuid": "8a839be2-b29d-40a0-8776-87f49df28185" } ]

{ "coherence": 2.31, "complexity": 2.51, "correctness": 1.72, "helpfulness": 1.68, "instruction-following": 1.48, "safety": 4.7, "verbosity": 1.9, "verbosity-coeff": -0.2337 }

[ { "content": "In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 70 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?\n\n['A)50%', 'B)53%', 'C)54%', 'D)55%', 'E)57%']", "role": "user", "uuid": "01ede239-5e64-41e7-beac-f5ef66b56b05" }, { "content": "Say there are total of 100 registered voters in that city. Thus 60 are Democrats and 40 are Republicans.\n60*0.70=42 Democrats are expected to vote for Candidate A;\n40*0.20=8 Republicans are expected to vote for Candidate A.\nThus total of 42+8=50 registered voters are expected to vote for Candidate A, which is 50% of the total number of registered voters.\nAnswer: A", "role": "assistant", "uuid": "9fc278f8-58d9-4cb5-aef2-16f105b249a4" } ]

{ "coherence": 3.33, "complexity": 1.49, "correctness": 2.84, "helpfulness": 2.64, "instruction-following": 3.17, "safety": 4.42, "verbosity": 1.54, "verbosity-coeff": -0.1995 }

[ { "content": "Debony normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Debony averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?\n\n['A)135', 'B)105', 'C)95', 'D)75', 'E)45']", "role": "user", "uuid": "d846674a-bd0a-4444-80e9-f1863a64d38a" }, { "content": "Debony normally drives to work in 45 minutes at an average speed of 40 miles per hour.\nUse formula D = RT\nCar:\nT1: 45 min\nR1: 40 mph\nD1: [(40*45)/60] = 30 miles\nBike:\nT1:?\nR2: 12 - 16 mph\nD2: 08*D1 = 24 miles\nT1: [(24*60)/12] = 120 min (Only 12 mph speed yields an answer given in the choices)\nTherefore, Deb has to leave 120 min - 45 min = 75 min early\nANSWER: D", "role": "assistant", "uuid": "98c08e46-c25a-4a4c-82ee-d7f2a01ec1bb" } ]

{ "coherence": 2.74, "complexity": 1.36, "correctness": 2.2, "helpfulness": 2.43, "instruction-following": 2.98, "safety": 5.95, "verbosity": 1.14, "verbosity-coeff": -0.1638 }

[ { "content": "The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\n\n['A)80,70 kmph', 'B)80,40 kmph', 'C)10,40 kmph', 'D)80,80 kmph', 'E)84,40 kmph']", "role": "user", "uuid": "2677e9ee-49e9-4b19-927b-5f2c00d53801" }, { "content": "Speed downstream = 60 + 20\n= 80 kmph\nSpeed upstream = 60 - 20\n= 40 kmph\nAnswer: B", "role": "assistant", "uuid": "7805807c-f2ca-4891-8bff-e6925bf5f16f" } ]

{ "coherence": 3.13, "complexity": 1.03, "correctness": 2.68, "helpfulness": 2.98, "instruction-following": 3.82, "safety": 4.89, "verbosity": 0.45, "verbosity-coeff": -0.1224 }

[ { "content": "A can do a work in 10days and B can do the same work in 8 days. They work together for 3days and then A goes away. In how many days will B finish the work?\n\n['A)11/17days', 'B)21/40days', 'C)31/40days', 'D)14/21days', 'E)15/31days']", "role": "user", "uuid": "574d29de-641f-459f-bd53-512cf41a081a" }, { "content": "A+B can do the work in 3 days = 3( 1/10 + 1/8) = 9/40\nRest of the work = 1 - 9/40 = 31/40\nB will do the rest of the work in = 1 - 9/40 = 31/40days\nAnswer is C", "role": "assistant", "uuid": "eb566af0-a3ab-4b1b-b592-2ea02ff47681" } ]

{ "coherence": 2.35, "complexity": 1.54, "correctness": 1.92, "helpfulness": 2.12, "instruction-following": 2.78, "safety": 5.09, "verbosity": 0.79, "verbosity-coeff": -0.1291 }

[ { "content": "A certain team consists of 3 professors and 6 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)\n\n['A)48', 'B)52', 'C)56', 'D)60', 'E)64']", "role": "user", "uuid": "919e047c-1e69-4fc7-9134-351eb5515e07" }, { "content": "The total number of ways to form a group of 3 from 9 people is 9C3 = 84\nThe number of ways to form a group without a professor is 6C3 = 20\nThe total number of ways to form a valid group is 84 - 20 = 64.\nThe answer is E.", "role": "assistant", "uuid": "0c600ff0-597f-435a-bd61-d896e91cadf8" } ]

{ "coherence": 3.15, "complexity": 1.12, "correctness": 2.62, "helpfulness": 2.64, "instruction-following": 3.02, "safety": 5.36, "verbosity": 1.28, "verbosity-coeff": -0.2453 }

[ { "content": "Lally's internet provider offers unlimited traffic which costs $0.5 per day charged off at 12 a.m. The service is discontinued when client's debt exceeds $5. If today in the morning Lally makes a payment of $7, for how many days, including today, will she be connected to the internet without any additional payments, given her initial balance was $0?\n\n['A) 15', 'B) 24', 'C) 25', 'D) 26', 'E) 13']", "role": "user", "uuid": "e4db563f-f515-41db-acdf-4e8e4644892a" }, { "content": "day 0- payment of $7 is made in the morning (after 12 am midnight)\nday 1 onwards(after 12 am midnight) internet service will begin and will run for 7*2=14 days i.e. at the end of day 15 balance will be zero.\nnow Lally can still use the internet till her debt reaches $5 which means total of 5*2=10 days.\nnow the question states for how many days, including today, will she be connected to the internet without any additional payments i.e. we will have to include day0 also in our final answer. therefore total no. of days =1+14+10=25=C", "role": "assistant", "uuid": "9b33144e-d683-490d-a372-ba6d21977236" } ]

{ "coherence": 2.76, "complexity": 1.9, "correctness": 1.97, "helpfulness": 1.88, "instruction-following": 2.64, "safety": 5.01, "verbosity": 1.67, "verbosity-coeff": -0.1963 }

[ { "content": "The area of a parallelogram is 242sq m and its altitude is twice the corresponding base. Then the length of the base is?\n\n['A)8', 'B)9', 'C)7', 'D)11', 'E)2']", "role": "user", "uuid": "cf015d7c-bcad-4823-b64b-44c763297d66" }, { "content": "2x * x = 242 => x= 11\nAnswer: D", "role": "assistant", "uuid": "41aeb47d-acf9-4391-b97a-58dd757be9f6" } ]

{ "coherence": 3, "complexity": 1.04, "correctness": 2.1, "helpfulness": 2.57, "instruction-following": 2.72, "safety": 6.14, "verbosity": -0.02, "verbosity-coeff": -0.1275 }

[ { "content": "There are 9 executives, including the CEO and CFO, that are asked to form a small team of 4 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?\n\n['A)97', 'B)99', 'C)101', 'D)103', 'E)105']", "role": "user", "uuid": "06c358c6-a08c-4d4f-9aef-5a1de11f22e9" }, { "content": "The total number of ways to form a team of 4 is 9C4=126.\nWe need to subtract the number of teams that have both the CEO and the CFO.\nThe number of teams with both the CEO and CFO is 7C2=21.\nThe number of ways to form an acceptable team is 126-21=105.\nThe answer is E.", "role": "assistant", "uuid": "e3eb30e3-56f3-47a8-8d31-5a8f663737c1" } ]

{ "coherence": 3.33, "complexity": 1.29, "correctness": 2.9, "helpfulness": 2.84, "instruction-following": 3.29, "safety": 4.93, "verbosity": 1.3, "verbosity-coeff": -0.2279 }

[ { "content": "If a fair 6-sided die is rolled three times, what is the probability that exactly one 3 is rolled?\n\n['A)25/216', 'B)50/216', 'C)25/72', 'D)25/36', 'E)5/6']", "role": "user", "uuid": "648c1182-0a64-43c1-a441-1e359c1c2cf1" }, { "content": "Total ways in which a 6-sided die can be rolled three times = 6*6*6 = 216\nTo get exactly one 3, there are three ways:\nA 3 on the first roll and non 3 on other two rolls. This can be done in 1*5*5 = 25 ways.\nThe 3 could be on the second or third roll too. So total favorable cases = 25*3 = 75\nRequired Probability = 75/216 = 25/72\nAnswer (C)", "role": "assistant", "uuid": "438dd6e3-2bbd-42bd-b532-f04d921fbdd0" } ]

{ "coherence": 2.61, "complexity": 0.97, "correctness": 1.68, "helpfulness": 1.76, "instruction-following": 2.64, "safety": 5.12, "verbosity": 0.53, "verbosity-coeff": -0.2345 }

[ { "content": "In a park there are two ponds with both brown ducks and green ducks. In the smaller pond there are 20 ducks and in the larger pond there are 80 ducks. If 20% of the ducks in the smaller pond are green and 15% of the ducks in the larger pond are green, then what percentage of ducks are green?\n\n['A)13%', 'B)14%', 'C)15%', 'D)16%', 'E)17%']", "role": "user", "uuid": "3d60f790-e896-4d18-b131-ab7c10286f96" }, { "content": "Number of ducks in small pond = 20\ngreen ducks in small pond = 20 % of 20 = 4 ducks\nNumber of ducks in large pond = 80\ngreen ducks in large pond = 15 % of 80 = 12 ducks\nTotal number of ducks = 20 + 80 = 100\ntotal number of green ducks = 4 + 12 = 16 ducks\npercentage of green ducks = 16/100 * 100 = 16%\nAnswer: D", "role": "assistant", "uuid": "595b37c2-34a7-474a-9e82-5e0ac8589314" } ]

{ "coherence": 3.05, "complexity": 1.57, "correctness": 2.84, "helpfulness": 2.92, "instruction-following": 3.29, "safety": 6.1, "verbosity": 1.1, "verbosity-coeff": -0.1343 }

[ { "content": "Daniel 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 10%, then what was the cost of the tax free items?\n\n['A)A)19.7', 'B)B)20', 'C)C)21.3', 'D)D)21.7', 'E)E)22']", "role": "user", "uuid": "44cda600-25b5-4120-b247-25cd3ae38068" }, { "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 = 10%\n∴ (25−30/100−x)10/100 = 30/100\n⇒ 10(25 −0.3 −x) = 30\n⇒ (25 − 0.3 − x) = 3\n⇒ x = 25 − 0.3 − 3\n= 21.7\nD", "role": "assistant", "uuid": "fe116872-d762-49bc-a637-07c433f879b6" } ]

{ "coherence": 2.74, "complexity": 1.79, "correctness": 2.23, "helpfulness": 2.37, "instruction-following": 3.64, "safety": 5.67, "verbosity": 1.46, "verbosity-coeff": -0.1402 }

[ { "content": "If Scott has earned 924 dollars by working 6 hrs/day a week at a constant daily rate for 2 weeks, which of the following represents his daily wage?\n\n['A)13', 'B)12', 'C)11', 'D)17', 'E)14']", "role": "user", "uuid": "92a98d77-bf76-4e95-bcdb-04d7672a4d8b" }, { "content": "Scott total earning = 924\nNo days he worked = 6 * 7 = 42\nRate = 2 week\nDaily wage = total / (Rate * days)\n= 924/(6*7*2)\n= 11\nC is correct answer...", "role": "assistant", "uuid": "60e66cd7-8e94-4731-959a-9efd4839d937" } ]

{ "coherence": 2.98, "complexity": 1.1, "correctness": 1.92, "helpfulness": 2.18, "instruction-following": 2.35, "safety": 4.85, "verbosity": 0.49, "verbosity-coeff": -0.1575 }

[ { "content": "In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported 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)9X/80', 'B)13X/20', 'C)80/9X', 'D)20X/13', 'E)80X/7']", "role": "user", "uuid": "309a4f59-85a9-4d62-a6f5-6efdc4c1294c" }, { "content": "IMT = 0.25T\nJI = 0.35 IMT\n0.35 IMT = $x b\nIMT = $x/(0.35) b\nT = 4*IMT = 4x/0.35 = 4x*100/35 = 80x/7\nAns: \"E\"", "role": "assistant", "uuid": "5d2c6fbf-cc4b-4348-a722-168574c482a6" } ]

{ "coherence": 2.76, "complexity": 1.68, "correctness": 2.35, "helpfulness": 2.72, "instruction-following": 2.88, "safety": 3.5, "verbosity": 0.62, "verbosity-coeff": -0.165 }

[ { "content": "In the xy-coordinate system, if (m, n) and (m 1 2, n 1 k) are two points on the line\nwith the equation x 5 2y 1 5, then k 5\n\n['A)1/2', 'B)1', 'C)2', 'D)5/2', 'E)4']", "role": "user", "uuid": "c514027d-f2aa-4271-a370-6f90d6c5bd5e" }, { "content": "Step 1: Analyze the Question\nFor any question involving the equation of a line, a good\nplace to start is the slope-intercept form of the line,\ny = mx 1 b. Remember that if you have two points on a\nline, you can derive the entire equation, and if you have an\nequation of the line, you can calculate any points on that\nline.\nStep 2: State the Task\nWe are solving for k, which is the amount by which the\ny-coordinate increases when the x-coordinate increases\nby 2.\nStep 3: Approach Strategically\nThe slope of a line is the ratio between the change in y and\nthe change in x. In other words, every time the x-coordinate\nincreases by 1, the y-coordinate increases by the amount\nof the slope.\nThe equation of the line in the question stem is defined as\nx = 2y + 5. We must isolate y to have slope-intercept form:\nSo the slope of this line is 1/2 . This means that for every\nchange of +1 in the x direction, there is a change of + 1/2\nin the y direction. Then we know that, because there is an\nincrease in 2 units in the x direction when moving from\nm to m + 2, there must be a change of 1 unit in the y\ndirection when moving from n to n + k. So k = 1.\nSince there are variables that eventually cancel (m and n\nare not part of the answers), we can Pick Numbers. Let’s\nsay that you choose the y-coordinate of the point (m, n) to\nbe 0 to allow for easier calculations. Using the equation\nwe’re given to relate x- and y-coordinates, we can calculate\nthe x-coordinate:\nSo (m, n) is the point (5, 0).\nNow we’ll plug our values of m and n into the next point:\n(m + 2, n + k). That yields (7, k). All we have to do is plug\nan x-coordinate of 7 into the equation to solve for k, the\ny-coordinate:\nAnswer is B", "role": "assistant", "uuid": "244c55e8-97bd-4a6e-ad82-934bdb066741" } ]

{ "coherence": 2.59, "complexity": 2.04, "correctness": 2.35, "helpfulness": 2.55, "instruction-following": 2.98, "safety": 4.93, "verbosity": 1.67, "verbosity-coeff": -0.1389 }

[ { "content": "A bicyclist's wheel has a circumference of 9 meters. if the bicyclist covers 180 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)6']", "role": "user", "uuid": "21e21b5f-9c8a-42ae-bf4e-07fe2dcd37b9" }, { "content": "The bicyclist covers y meters in t hrs. So he covers y/t meters in one hour.\nTo cover y/t meters, the bicycle's wheel went round and round that is, multiple times, the wheel completed one circumference on the road. How many times did it complete one full rotation. Since the circumference is x, the number of times it completes the circumference is y/xt.=180/9*5=4\nAnswer (C)", "role": "assistant", "uuid": "0bb36277-fc96-425a-b7aa-902aa9348deb" } ]

{ "coherence": 2.61, "complexity": 1.26, "correctness": 1.59, "helpfulness": 1.6, "instruction-following": 1.84, "safety": 6.06, "verbosity": 0.81, "verbosity-coeff": -0.1638 }

[ { "content": "A woman on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:\n\n['A)71.11 km/hr.', 'B)68.11 km/hr.', 'C)44.11 km/hr.', 'D)88.11 km/hr.', 'E)31.11 km/hr.']", "role": "user", "uuid": "e08ff6fe-f3f0-4e2e-990a-e65981437d8e" }, { "content": "A\n71.11 km/hr.\nTotal time taken = 160/64 + 160/80 = 9/2 hours\n--> Average speed = 320 x 2/9 = 71.11 km/hr.", "role": "assistant", "uuid": "9d1d8427-732f-400f-a05a-6972dedf0810" } ]

{ "coherence": 3.37, "complexity": 1.37, "correctness": 2.45, "helpfulness": 2.61, "instruction-following": 3.23, "safety": 4.4, "verbosity": 0.82, "verbosity-coeff": -0.1129 }

[ { "content": "Mike weighs twice as much as Mary. Mike's weight is 150% of Michelle's weight. Alan weighs 140% of Charlie's weight. Charlie weighs 180% of Mary's weight. Which of these 5 people weighs the highest?\n\n['A)Mary', 'B)Mike', 'C)Michelle', 'D)Alan', 'E)Charlie']", "role": "user", "uuid": "f64e1885-e6cf-46e2-99a1-5222d92e0b2d" }, { "content": "Mary < Michelle < Mike\nCharlie < Alan\nLet x be Mary's weight.\nMike's weight is 2x and Alan's weight is 1.4*1.8x = 2.52x.\nThe answer is D.", "role": "assistant", "uuid": "041f824b-671a-4734-8fac-9e8a85fda31c" } ]

{ "coherence": 3.07, "complexity": 2.2, "correctness": 2.45, "helpfulness": 2.53, "instruction-following": 2.39, "safety": 4.7, "verbosity": 1.66, "verbosity-coeff": -0.1322 }

[ { "content": "Jill has 7 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?\n\n['A)3', 'B)6', 'C)9', 'D)12', 'E)14']", "role": "user", "uuid": "976eff71-4e00-4478-ba21-d535265074d1" }, { "content": "Let the number of each size of jar = w\rthen 1/4w + 1/2w + w = 7 1 3/4w = 7\rw=4\rThe total number of jars = 3w =12\rAnswer: D", "role": "assistant", "uuid": "66ed38d8-23b8-4738-8cb0-977a8fa94510" } ]

{ "coherence": 2.88, "complexity": 1.24, "correctness": 1.98, "helpfulness": 2.31, "instruction-following": 3.35, "safety": 6.14, "verbosity": 0.42, "verbosity-coeff": -0.1495 }

[ { "content": "When a producer allows 36% commission on retail price of his product, he earns a profit of 8.8%. what would be his profit % if the commission is reduced by 24%?\n\n['A)45.9', 'B)47.9', 'C)49.6', 'D)51.9', 'E)None of them']", "role": "user", "uuid": "21e4c09c-f9f1-4669-b63a-75d50f6ad6ca" }, { "content": "Let the retail price =Rs 100.then, commission=Rs 36\nS.P=Rs(100-36)=Rs 64\nBut, profit=8.8%\nC.P=Rs(100/108.8*64)=Rs 1000/17\nNew commission =Rs12. New S.P=Rs(100-12)Rs 88\nGain=Rs(88-1000/17)=Rs 496/17\nGain%=(496/17*17/1000*100)%=49.6%\nAnswer is C.", "role": "assistant", "uuid": "b4d957a9-b831-4642-bcd2-9873d3f9f116" } ]

{ "coherence": 2.45, "complexity": 2.02, "correctness": 1.72, "helpfulness": 1.71, "instruction-following": 2.59, "safety": 5.87, "verbosity": 1.77, "verbosity-coeff": -0.117 }

[ { "content": "To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.\n\n['A)375', 'B)475', 'C)575', 'D)675', 'E)775']", "role": "user", "uuid": "afda6eb5-5f40-426b-8b31-fb20d3a2f615" }, { "content": "Let x be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made:\n3⋅25+(x−3)⋅30=75+30(x−3)\nTherefore: 25x=75+30(x−3)−100\n25x=75+30x−90−100\n190−75=30x−25\n115=5x\nx=23\nSo the company worked 23 days and they made 23⋅25+100=675 pieces.\ncorrect answer D", "role": "assistant", "uuid": "cf2c7540-1907-45b8-8a44-8ad1392cd90c" } ]

{ "coherence": 3.27, "complexity": 1.99, "correctness": 2.61, "helpfulness": 2.51, "instruction-following": 3.23, "safety": 4.46, "verbosity": 1.34, "verbosity-coeff": -0.1354 }

[ { "content": "Difference of two parallel sides of atrapezium is 4cm. perpendicular distance between them is10cm. If the area of the trapezium is 250cm^2. Find the lengths of the parallel side?\n\n['A)20 cm and 21 cm', 'B)25 cm and 23 cm', 'C)27 cm and 23 cm', 'D)30 cm and 34 cm', 'E)28 cm and 36 cm']", "role": "user", "uuid": "89238545-5aa8-427d-9543-e07b4592cb5c" }, { "content": "Let the two parallel sides of the trapezium be a cm and b cm.\nThen, a-b = 4 ------ (1)\nAnd, (1/2) x (a+b) x 10 = 475 =>(a+b) =((250 x 2)/10) => a + b = 50------- (2)\nSolving 1 and 2, we get: a=27,b=23\nSo, the two parallel sides are 27 cm and 23 cm.\nC", "role": "assistant", "uuid": "e5530060-5eb8-45c2-83ed-b0ee7beb7381" } ]

{ "coherence": 3.09, "complexity": 1.59, "correctness": 2.16, "helpfulness": 2.27, "instruction-following": 3.23, "safety": 5.55, "verbosity": 0.7, "verbosity-coeff": -0.1117 }

[ { "content": "A man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time. Find the speed of the stream ?\n\n['A)5 kmph', 'B)6 kmph', 'C)8 kmph', 'D)1 kmph', 'E)2 kmph']", "role": "user", "uuid": "f7ff0246-19e5-4b4e-8e97-ddcee4d0af8b" }, { "content": "Explanation:\nSpeed of the boat downstream =\nSpeed of the boat upstream\n\\small \\therefore The speed of the stream =\nAnswer: A", "role": "assistant", "uuid": "1e5005bf-897e-4b2c-b673-779d8fe9eb52" } ]

{ "coherence": 2.47, "complexity": 1.35, "correctness": 1.34, "helpfulness": 1.37, "instruction-following": 1.67, "safety": 5.44, "verbosity": 0.18, "verbosity-coeff": -0.109 }

[ { "content": "The sum of the present ages of a father and his son is 50 years. five years ago, father's age was five times the age of the son. After 5 years, son's age will be:\n\n['A)16', 'B)16.2', 'C)16.1', 'D)16.66', 'E)17']", "role": "user", "uuid": "0d674e73-9460-4386-ba0c-3d09b02a9495" }, { "content": "Let the present ages of son and father be x and (50 -x) years respectively.\nThen, (50 - x) - 5 = 5(x - 5)\n45 - x = 5x - 25\n6x = 70\nx = 70/6= 11.66 years\nSon's age after 6 years = (x+ 5) = 16.66 years.\nanswer :D", "role": "assistant", "uuid": "81c19368-601b-4483-b2d8-e55d2f9bcbd6" } ]

{ "coherence": 2.68, "complexity": 1.04, "correctness": 2.06, "helpfulness": 2.2, "instruction-following": 3, "safety": 4.77, "verbosity": 0.79, "verbosity-coeff": -0.1187 }

[ { "content": "A pizzeria in Castroville creates its own special blend of shredded cheese at a cost of $696.05 per kilogram. The blend includes Mozzarella, at $504.35 per kilogram, and Romano cheese, at $887.75 per kilogram. If the employees have already shredded 19 kilograms of Mozzarella cheese, how many kilograms of Romano cheese will they need to shred now?\n\n['A)19kg', 'B)13kg', 'C)10kg', 'D)23kg', 'E)15kg']", "role": "user", "uuid": "eae635e7-d652-49ae-85f1-0e81e9a4f78e" }, { "content": "504.35(19)+887.75x\t=696.05(19 + x)\nSolve the equation.\n504.35(19) + 887.75x = 696.05(19 + x)\n9,582.65 + 887.75x = 13,224.95 + 696.05x\n9,582.65 + 191.7x = 13,224.95\n191.7x = 3,642.3\nx = 19\t.\nAnswer is A.", "role": "assistant", "uuid": "d9a79011-b7c2-42ab-9942-d7ee654203cb" } ]

{ "coherence": 2.7, "complexity": 1.67, "correctness": 1.64, "helpfulness": 2.06, "instruction-following": 2.88, "safety": 3.91, "verbosity": 1.54, "verbosity-coeff": -0.1306 }

[ { "content": "A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?\n\n['A)6 min to empty', 'B)7 min to full', 'C)6 min to full', 'D)7 min to empty', 'E)None of these']", "role": "user", "uuid": "66d6fc1b-1092-4e23-97d2-9a079b65e4cf" }, { "content": "Explanation:\nThere are two important points to learn in this type of question,\nFirst, if both will open then tank will be empty first.\nSecond most important thing is,\nIf we are calculating filling of tank then we will subtract as (filling-empting)\nIf we are calculating empting of thank then we will subtract as (empting-filling)\nSo lets come on the question now,\nPart to emptied 2/5\nPart emptied in 1 minute = 1/6-1/10=1/15\n=>1/15:2/5::1:x\n=>2/5∗15=6mins\nANSWER IS A", "role": "assistant", "uuid": "bda6749b-f211-49d7-86fe-0a19020a121a" } ]

{ "coherence": 2.21, "complexity": 2.31, "correctness": 1.79, "helpfulness": 1.93, "instruction-following": 2.49, "safety": 5.91, "verbosity": 2.35, "verbosity-coeff": -0.1182 }

[ { "content": "A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?\n\n['A)1600', 'B)1602', 'C)2768', 'D)2686', 'E)1297']", "role": "user", "uuid": "19162db7-b7a6-42a0-95b5-b80eb317f83e" }, { "content": "Explanation:\nLet Peter’s share be x.\nHence, David gets x/4 and Alex gets x/2.\nx + x/4 + x/2 = 2800\n7x/4 = 2800\nx = Rs.1600\nANSWER: A", "role": "assistant", "uuid": "4336c3e0-f893-46f9-ae83-7d89c6290fa4" } ]

{ "coherence": 3.15, "complexity": 1.52, "correctness": 2.68, "helpfulness": 2.86, "instruction-following": 3.93, "safety": 4.66, "verbosity": 1.19, "verbosity-coeff": -0.1221 }

[ { "content": "5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?\n\n['A)6:6', 'B)6:1', 'C)6:9', 'D)6:5', 'E)6:2']", "role": "user", "uuid": "4b187f90-eb7b-488f-900e-f49edab80fe2" }, { "content": "5M + 12B ----- 4 days\n7M + 6B ------- 5 days\n20M + 48B = 35M + 30B\n18B = 15M => 5M = 6B\nM: B = 6:5\nAnswer: D", "role": "assistant", "uuid": "8bd467f1-3fc2-4327-a53d-4cb53a75a7cd" } ]

{ "coherence": 2.82, "complexity": 0.72, "correctness": 2.31, "helpfulness": 2.55, "instruction-following": 3.05, "safety": 6.57, "verbosity": 0.02, "verbosity-coeff": -0.1291 }

[ { "content": "Mary's income is 40 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?\n\n['A) 124%', 'B) 120%', 'C) 96%', 'D) 80%', 'E) 84%']", "role": "user", "uuid": "6c0bcad4-9fd7-4166-8f1e-461a24656f4b" }, { "content": "Juan's income = 100 (assume);\nTim's income = 60 (40 percent less than Juan's income);\nMary's income = 84 (40 percent more than Tim's income).\nThus, Mary's income (84) is 84% of Juan's income (100).\nAnswer: E.", "role": "assistant", "uuid": "3b482e86-859a-4623-92fc-2013e6809a61" } ]

{ "coherence": 3.23, "complexity": 1.52, "correctness": 2.7, "helpfulness": 2.86, "instruction-following": 3.31, "safety": 4.81, "verbosity": 0.55, "verbosity-coeff": -0.1665 }

[ { "content": "If x^2+(1/x^2)=9, x^4+(1/x^4)=?\n\n['A)10', 'B)11', 'C)12', 'D)14', 'E)79']", "role": "user", "uuid": "031b37c6-bc7d-45b8-bdd5-8157f73b6b47" }, { "content": "-> x^4+(1/x^4)=(x^2)^2+(1/x^2)^2=(x^2+1/x^2)^2-2x^2(1/x^2)=9^2-2=79.\nThus, the answer is E.", "role": "assistant", "uuid": "c48eaf6b-fae1-405e-8b97-85b798ccb707" } ]

{ "coherence": 2.98, "complexity": 1.7, "correctness": 2.21, "helpfulness": 2.31, "instruction-following": 3.09, "safety": 5.55, "verbosity": 0.92, "verbosity-coeff": -0.1671 }

[ { "content": "What percent of the different arrangements of the letters of the word AFACUT are those in which the vowels appear together?\n\n['A)25%', 'B)20%', 'C)30%', 'D)40%', 'E)50%']", "role": "user", "uuid": "9da1d577-2498-436f-bbfd-ace19845d312" }, { "content": "let's determine the number of total possibilities in arranging the letters. There are six spaces, so the total number of arrangements is 6!, or 360.\nNext, we need to figure out how to determine the number of ways that we can arrange the 3 vowels together - simply place them together (as in AAU) and call that a single place.\nNext, we must determine the number of ways to arrange the now 4 units (i.e., AAU, B, C, S). Like above, there are 4 units and 4 places so the number of arrangements is 4!, or 24.\nFinally, we need to account for the number of ways we can arrange AAU. We can either write out each unique iteration (AAU, AUA and UAA) or calculate as 3!/2! and get 3.\nPutting this all together, we get the number of ways to arrange the letters so that the vowels are together is 4! x 3 ==> 72\nthe number of total arrangements of all the letters is 6! ==> 360\n72/360 = 1/5, or 20%\nCorrect answer is B", "role": "assistant", "uuid": "9a8d0291-fd8b-4d3c-99ee-e8640d8869fd" } ]

{ "coherence": 2.9, "complexity": 2.25, "correctness": 2.59, "helpfulness": 2.31, "instruction-following": 3.37, "safety": 4.4, "verbosity": 1.9, "verbosity-coeff": -0.2364 }

[ { "content": "Which of these must the factor Q of the product of four consecutive even integers:-\n1) 48\n2) 64\n3) 96\n4) 192\n5) 80\n\n['A)1,2 only', 'B)Q=2,3 only', 'C)Q=1,2,3 only', 'D)Q=1,2,3,4 only', 'E)All of them']", "role": "user", "uuid": "a1fbc153-ff4a-4646-880c-fce9aa894a9e" }, { "content": "Let the four variables be a< b< c< d.\nAssume a worst case scenario where the a equal to a prime number (hence odd).\ntherefore\na = divisible by 1\nb = a + 1 (divisible by 2)\nc = a + 3 (divisible by 3)\nd = a + 4 (divisible by 4)\ntherefore\neach answer choice must be divisible Q by 2 x 3 x 4 = 24\nonly 80 is not divisible. Therefore answer = D", "role": "assistant", "uuid": "39a5ece8-29bd-4d85-9f1b-25bb8af0d709" } ]

{ "coherence": 1.82, "complexity": 2.43, "correctness": 1.27, "helpfulness": 1.22, "instruction-following": 0.96, "safety": 5.28, "verbosity": 1.3, "verbosity-coeff": -0.1595 }

[ { "content": "The sum of 9 hours 25 minutes and 4 hours 35 minutes is approximately what percent of a day?\n\n['A) 64%', 'B) 56%', 'C) 58%', 'D) 48%', 'E) 72%']", "role": "user", "uuid": "a28fce43-ea89-40dc-ba7d-f227e4f376e4" }, { "content": "Since the question is asking for an approximate percentage\n9:25+4:35 = 14 hours\n% of day = 14*100/24 = 7*100/25 ~ 58%\nAnswer is C.", "role": "assistant", "uuid": "65c1ac36-0ed3-4959-b991-f560495e027b" } ]

{ "coherence": 2.76, "complexity": 1.47, "correctness": 2.08, "helpfulness": 2.04, "instruction-following": 2.55, "safety": 5.48, "verbosity": 1.16, "verbosity-coeff": -0.1518 }

[ { "content": "When 2 dices tossed, what is the probability that 2 numbers faced have difference 2?\n\n['A)1/9', 'B)2/9', 'C)1/3', 'D)4/9', 'E)5/9']", "role": "user", "uuid": "45b25ae1-97cd-4c62-ae3f-4a9c758c7145" }, { "content": "Combinations are (1,3), (2,4), (3,5), (4,6), (3,1), (4,2), (5,3), (6,4)\nSo, total = 8\nHence, Probability = 8/36 = 2/9\nanswer:B", "role": "assistant", "uuid": "f1c632b2-2415-4362-92d2-104478c02a4a" } ]

{ "coherence": 2.59, "complexity": 1.38, "correctness": 2.14, "helpfulness": 2.23, "instruction-following": 3.29, "safety": 5.09, "verbosity": 1.14, "verbosity-coeff": -0.1464 }

[ { "content": "What range of values of 'x' will satisfy the inequality 15x - 2/x > 1?\n\n['A)x > 0.4', 'B)x < 1/3', 'C)-1/3 < x < 0.4, x > 15/2', 'D)-1/3 < x < 0, x > 2/5', 'E)x < --1/3 or x > 2/5']", "role": "user", "uuid": "1b6a7874-052b-472d-9fa9-116dc482a57b" }, { "content": "This will hold true for the following values of 'x': -1313 < x < 2/5 and x < 0.\nCombining, we get -1/3 < x < 0.\nTherefore, the range of values of x for which the above inequality will hold true is:\n-1/3 < x < 0 ∪ x > 2/5.\nANSWERT : D", "role": "assistant", "uuid": "b4e30eae-b283-4e8b-9f60-ca2525130c93" } ]

{ "coherence": 2.41, "complexity": 1.83, "correctness": 1.69, "helpfulness": 1.92, "instruction-following": 2.02, "safety": 4.44, "verbosity": 1.44, "verbosity-coeff": -0.1968 }

[ { "content": "If the number of 53,n87, where n represents the hundreds digit, is a multiple of 3, then the value of n could be which of the following?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "7444c3ab-6296-4753-a23f-41c5965470cc" }, { "content": "Then for any number to be a multiple of 3,The sum of its digits should be the multiple of 3.\ni.e 5+3+n+8+7 = multiple of three\nor, 23 + n = multiple of 3.\nIf n=1, 23 + n =24,which is a multiple of 3.\nHence answer is B.", "role": "assistant", "uuid": "b61ec896-f323-40a1-8307-9b5adcb2d128" } ]

{ "coherence": 2.82, "complexity": 1.86, "correctness": 2.31, "helpfulness": 2.49, "instruction-following": 2.82, "safety": 5.4, "verbosity": 1.38, "verbosity-coeff": -0.1838 }

[ { "content": "Find the probability that a number selected from numbers 1, 2, 3,..., 50 is a prime number, when each of the given numbers is equally likely to be selected?\n\n['A)10/50', 'B)15/50', 'C)8/50', 'D)3/50', 'E)7/50']", "role": "user", "uuid": "ae1dcd7b-8788-495f-b21c-9ff817b6d3ce" }, { "content": "Let X be the event of selecting a prime number.\nX = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47}\nn(X) = 15,\nn(S) = 50\nHence, the required probability is 15/50.\nANSWER:B", "role": "assistant", "uuid": "582474de-8b6d-4452-a804-32f221887a03" } ]

{ "coherence": 3.27, "complexity": 1.97, "correctness": 3.04, "helpfulness": 2.98, "instruction-following": 3.89, "safety": 5.16, "verbosity": 1.71, "verbosity-coeff": -0.2163 }

[ { "content": "A can give B 100 meters start and C 170 meters start in a kilometer race. How much start can B give C in a kilometer race?\n\n['A)11.77 meters', 'B)55.77 meters', 'C)77.77 meters', 'D)113.77 meters', 'E)None of these']", "role": "user", "uuid": "49134508-b4de-43a5-8644-4c98f067f5b6" }, { "content": "Explanation:\nA runs 1000 meters while B runs 900 meters and C runs 830 meters.\nTherefore, B runs 900 meters while C runs 830 meters.\nSo, the number of meters that C runs when B runs 1000 meters = (1000 x 830)/900 = 922.22 meters\nThus, B can give C (1000 - 922.22) = 77.77 meters start\nAnswer: C", "role": "assistant", "uuid": "989a57a4-f129-4a0f-a35d-294d95b3a6d3" } ]

{ "coherence": 2.78, "complexity": 1.06, "correctness": 1.96, "helpfulness": 2.1, "instruction-following": 3.43, "safety": 4.42, "verbosity": 0.59, "verbosity-coeff": -0.1153 }

[ { "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. 9020, then what will be the share of Sameer in the profit?\n\n['A)s.3080', 'B)s.2380', 'C)s.2329', 'D)s.2329', 'E)s.2312']", "role": "user", "uuid": "5065cff7-8d01-434b-9fe5-ff5122b0b386" }, { "content": "Kamal : Sameer = (9000 * 12) : (8000 * 7)\n= 108:56 = 27:14\nSameer's share = 9020 * 14/41\n= Rs.3080.\nAnswer: A", "role": "assistant", "uuid": "1dc828a0-20f9-4ade-80ca-9ac9999ba80d" } ]

{ "coherence": 2.7, "complexity": 1.02, "correctness": 2.33, "helpfulness": 2.29, "instruction-following": 3.5, "safety": 3.78, "verbosity": 0.8, "verbosity-coeff": -0.117 }

[ { "content": "A man buys an article for $110. and sells it for $125. Find the gain percent?\n\n['A)10%', 'B)13.6%', 'C)25%', 'D)20%', 'E)30%']", "role": "user", "uuid": "95efbccb-e2f9-40c2-88b4-269228c7b671" }, { "content": "C.P. = $110\nS.P. = $125\nGain = $15\nGain% = 15/110 *100 = 13.6%\nAnswer is B", "role": "assistant", "uuid": "19ba0217-5b88-4401-bc61-b4cbd28a3f56" } ]

{ "coherence": 2.92, "complexity": 1.43, "correctness": 2.57, "helpfulness": 2.68, "instruction-following": 3.76, "safety": 4.93, "verbosity": 1, "verbosity-coeff": -0.1095 }

[ { "content": "What least number should be subtracted from 13600 such that the remainder is divisible by 87 ?\n\n['A)27', 'B)29', 'C)28', 'D)30', 'E)31']", "role": "user", "uuid": "9f72b85f-7df9-48bb-8fe8-457d3a7e72e7" }, { "content": "13600 ÷ 87 = 156, remainder = 28\nHence 28 is the least number which can be subtracted from 13600 such that the remainder\nis divisible by 87\nAnswer is C", "role": "assistant", "uuid": "74228d7c-125a-4e9a-bc87-1c5654db17bc" } ]

{ "coherence": 2.9, "complexity": 1.81, "correctness": 2.47, "helpfulness": 2.49, "instruction-following": 2.98, "safety": 5.67, "verbosity": 1.17, "verbosity-coeff": -0.157 }

[ { "content": "P alone can complete a piece of work in 12 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?\n\n['A)6 (1/4) days', 'B)9 days', 'C)7 (3/4) days', 'D)8 days', 'E)9 (3/4) days']", "role": "user", "uuid": "fc4cb312-e331-46e6-b045-af1a9678dc09" }, { "content": "Work done by P alone in one day = 1/12th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/12 of the total) = 1/36 of the total.\nWork done by P and Q, working together in one day = 1/12 + 1/36 = 4/36=1/9 of the total\nThey would take 9 days to complete the work working together.\nANSWER:B", "role": "assistant", "uuid": "61e1580f-5467-4796-944a-a82e849cc015" } ]

{ "coherence": 2.72, "complexity": 1.29, "correctness": 2.08, "helpfulness": 2.27, "instruction-following": 3.04, "safety": 6.06, "verbosity": 1.22, "verbosity-coeff": -0.1286 }

[ { "content": "In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A?\n\n['A)0', 'B)5', 'C)10', 'D)15', 'E)25']", "role": "user", "uuid": "49a4b28f-bed9-405f-a194-7c36e58d9665" }, { "content": "You should notice that 55*2=110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0=0. Next number divisible by 55 is 11,000+55=11,055: B*A=5*3=15 (next number won't have 110 as the first 3 digits so we have only two options 0 and 25).\nAnswer: D.\n!\nPlease post PS questions in the PS subforum:gmat-problem-solving-ps-140/\nPlease post DS questions in the DS subforum:gmat-data-sufficiency-ds-141/\nNo posting of PS/DS questions is allowed in the mainMath forum.\nD", "role": "assistant", "uuid": "79e27b50-86e1-4c11-a6f9-84cd292b4321" } ]

{ "coherence": 2.94, "complexity": 1.64, "correctness": 2.43, "helpfulness": 2.35, "instruction-following": 2.16, "safety": 4.81, "verbosity": 1.4, "verbosity-coeff": -0.2369 }

[ { "content": "By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 7 p.c?\n\n['A)38028', 'B)38000', 'C)37200', 'D)38128', 'E)38982']", "role": "user", "uuid": "9329b186-bade-45c9-91e7-87cb82a8cde6" }, { "content": "CP + CP/8 = 45000\nCP = 40000\nSP = 40000*(93/100)\n= 37200\nAnswer:C", "role": "assistant", "uuid": "7686ce7c-30e6-4c82-a2d3-cc6e067ffa23" } ]

{ "coherence": 2.8, "complexity": 1.32, "correctness": 2.59, "helpfulness": 2.66, "instruction-following": 3.99, "safety": 5.71, "verbosity": 0.77, "verbosity-coeff": -0.1342 }

[ { "content": "In a garden there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is\n\n['A)20 m', 'B)22 m', 'C)24 m', 'D)26 m', 'E)16 m']", "role": "user", "uuid": "908ca47e-e874-4ee2-80d3-f39f2d94b45d" }, { "content": "Each row contains 12 plants.\nThere are 11 gapes between the two corner trees (11 x 2) metres and 1 metre on each side is left.\nTherefore Length = (22 + 2) m = 24 m.\nANSWER:C", "role": "assistant", "uuid": "4700f4f4-58a9-4ac6-8044-677324a2fcec" } ]

{ "coherence": 2.96, "complexity": 1.84, "correctness": 2.57, "helpfulness": 2.78, "instruction-following": 3.33, "safety": 3.88, "verbosity": 1.57, "verbosity-coeff": -0.1086 }

[ { "content": "If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is:\n\n['A)50 km', 'B)56 km', 'C)60 km', 'D)70 km', 'E)80 km']", "role": "user", "uuid": "29f6c4b4-0fc9-4897-a061-5c2a093ee9c3" }, { "content": "Let the actual distance travelled be x km.\nx/10 = (x+20)/14\n14x = 10x + 200\n4x = 200\nx = 50 km.\nanswer :A", "role": "assistant", "uuid": "b1b5684b-edb0-4e43-bd56-a30acd962a8b" } ]

{ "coherence": 3.43, "complexity": 1.45, "correctness": 2.94, "helpfulness": 3.09, "instruction-following": 4.09, "safety": 4.66, "verbosity": 0.9, "verbosity-coeff": -0.1202 }

[ { "content": "Find the value of (√1.1)/(√0.81) + (√1.44)/(√0.49) is\n\n['A)195/63', 'B)2.879', 'C)155/63', 'D)125/63', 'E)185/63']", "role": "user", "uuid": "f750bb85-9c9a-42cc-97ba-e5b8f2bf4bd0" }, { "content": "(√1.1)/(√0.81) + (√1.44)/(√0.49)\n=> 2.879\nAnswer is B", "role": "assistant", "uuid": "7001d52f-6824-4ae2-99a7-aee6a5d632e2" } ]

{ "coherence": 2.68, "complexity": 1.28, "correctness": 1.58, "helpfulness": 1.74, "instruction-following": 1.96, "safety": 3.78, "verbosity": 0.67, "verbosity-coeff": -0.1247 }

[ { "content": "It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 10 minutes, how much time will she spend doing yoga? (rounded to minutes)\n\n['A)10 min.', 'B)41 min.', 'C)17 min.', 'D)23 min.', 'E)25 min.']", "role": "user", "uuid": "e9ea65a5-3113-4edf-90e8-05a4ef4965f7" }, { "content": "The ratio is 2:3 = gym:ride, so (10)(3/2) = 15 minutes at the gym, and 15 + 10 = 25 minutes exercise, so (2/3)(25) = 17 minutes yoga.\nAnswer: C", "role": "assistant", "uuid": "afd2fd9a-688f-4333-ab29-56c466b56dab" } ]

{ "coherence": 2.8, "complexity": 0.85, "correctness": 2.33, "helpfulness": 2.37, "instruction-following": 3.72, "safety": 6.1, "verbosity": 0.85, "verbosity-coeff": -0.1183 }

[ { "content": "If P(A) = 2/15, P(B) = 7/15, and P(A ∪ B) = 16/15 Find P(A|B)\n\n['A)1/2', 'B)16/7', 'C)3/2', 'D)4/5', 'E)4/7']", "role": "user", "uuid": "af09a559-6955-409a-b16f-630a69b6c9b8" }, { "content": "P(A|B) = P(A ∪ B)/P(B)\nP(A|B) = (16/15)/(7/15) = 16/7.\nB", "role": "assistant", "uuid": "0edcda78-7e73-48cd-b007-3c7b709b40ba" } ]

{ "coherence": 3.11, "complexity": 1.9, "correctness": 2.82, "helpfulness": 2.68, "instruction-following": 2.98, "safety": 4.13, "verbosity": 1.13, "verbosity-coeff": -0.1466 }

[ { "content": "A sum of Rs. 12500 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?\n\n['A)4%', 'B)5%', 'C)6%', 'D)8%', 'E)14%']", "role": "user", "uuid": "d1bb61eb-51dc-4086-ad62-f5c1dddf8b29" }, { "content": "S.I. = (15500 - 12500) = Rs. 3000/-\nRate = (100 * 3000) / (12500 * 4) = 6%\nANSWER:C", "role": "assistant", "uuid": "40505e88-ccfa-488a-9c49-86d6128b8f4e" } ]

{ "coherence": 3.11, "complexity": 1.79, "correctness": 2.82, "helpfulness": 3.02, "instruction-following": 4.34, "safety": 5.24, "verbosity": 1.12, "verbosity-coeff": -0.1152 }

[ { "content": "What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x\n\n['A)24', 'B)26', 'C)36', 'D)42', 'E)45']", "role": "user", "uuid": "179a3424-7f19-4f5a-9a33-3d989e16e362" }, { "content": "Go on dividing by 6 to the next number\nC)", "role": "assistant", "uuid": "001a7d57-8acc-4085-9d8b-7ded0b452bc7" } ]

{ "coherence": 1.84, "complexity": 1.39, "correctness": 1.66, "helpfulness": 1.46, "instruction-following": 1.57, "safety": 4.25, "verbosity": 0.44, "verbosity-coeff": -0.1146 }

[ { "content": "Robinson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.5. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of one another.\nSuppose the Johnson must get VP Adam’s approval, as well as the approval of at least one of the other VPs, Baker or Corfu, to win funding. What is the probability that Johnson’s proposal is funded?\n\n['A)0.49', 'B)0.52', 'C)0.48', 'D)0.6', 'E)0.45']", "role": "user", "uuid": "060544a9-2c84-48d7-8ba2-2f5505df7e06" }, { "content": "probability of adams approval = 0.7\nbaker approval =0.5\ncorfu approval=0.4\nproabability of approval is must adam approval and atleast one approval\n= adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+\nadam approval*baker not approval*coffu approval( atleast one remaining approval\n= 0.7*0.5*0.4+0.7*0.5*0.6+0.7*0.5*0.4\n=0.14+0.21+0.14\n=0.49\nA", "role": "assistant", "uuid": "a53e1017-7e9d-434a-857a-0055b4f00182" } ]

{ "coherence": 2.55, "complexity": 1.72, "correctness": 1.93, "helpfulness": 2.06, "instruction-following": 2.49, "safety": 3.46, "verbosity": 1.52, "verbosity-coeff": -0.139 }

[ { "content": "Ten years ago, P was half of Q's age. If the ratio of their present ages is3:4, what will be the total of their present ages?\n\n['A)45', 'B)40', 'C)35', 'D)30', 'E)25']", "role": "user", "uuid": "a43b8e05-c23c-479d-b8d6-620c2ddec976" }, { "content": "Let present age of P and Q be\n3x and\n4x respectively.\nTen years ago, P was half of Q's age\n⇒(3x−10)=1(4x−10)/2\n⇒6x−20=4x−10\n⇒2x=10\n⇒x=5\nTotal of their present ages\n3x+4x=7x=7*5=35\nANSWER:C", "role": "assistant", "uuid": "2c61acb5-9646-4ab7-9a06-954e0f8b80d3" } ]

{ "coherence": 3.04, "complexity": 2.31, "correctness": 3.07, "helpfulness": 3.11, "instruction-following": 4.25, "safety": 5.01, "verbosity": 1.61, "verbosity-coeff": -0.1506 }

[ { "content": "if integer N has p factors ; how many factors will 5N have ?\n\n['A)p', 'B)2p', 'C)P+1', 'D)2p+1', 'E)Cannot be determined']", "role": "user", "uuid": "8a44d4f3-b3fd-4bb5-8ed1-6c2fdb82f96f" }, { "content": "Case 1:\nLet N = 6 => 2 x 3 (prime factorization) => p = 4;\n5N =30 => no. of factors = 8; (p+2)\nCase 2:\nLet N = 7 => p = 2;\n5N = 35 => no of factors = 4; (p+2)\nFor different N different results are observed. So, shouldn't E be the right answer?", "role": "assistant", "uuid": "cd530d9f-e064-4f54-9a96-c896983441d6" } ]

{ "coherence": 2.84, "complexity": 1.88, "correctness": 1.7, "helpfulness": 1.79, "instruction-following": 1.82, "safety": 5.24, "verbosity": 1.06, "verbosity-coeff": -0.1549 }

[ { "content": "In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of four metre is left from all sides of the boundary of the garden. What is the length of the garden?\n\n['A)22', 'B)24', 'C)26', 'D)28', 'E)30']", "role": "user", "uuid": "6a3539dd-8e8d-48a4-9e4c-615100afc40e" }, { "content": "Between the 12 mango trees, there are 11 gaps and each gap has 2 meter length\nAlso, 4 meter is left from all sides of the boundary of the garden.\nHence, length of the garden = (11 × 2) + 4 + 4 = 30 meter\nAnswer is E.", "role": "assistant", "uuid": "d25a3fbf-bc19-4647-859d-a26eda294656" } ]

{ "coherence": 2.88, "complexity": 1.72, "correctness": 2.27, "helpfulness": 2.43, "instruction-following": 2.9, "safety": 4.81, "verbosity": 1.29, "verbosity-coeff": -0.1208 }

[ { "content": "Which of the following is a possible length for side AB of triangle ABC if AC = 4 and BC = 9?\nI. 5\nII. 9 √3\nIII. 12.5\n\n['A)I only', 'B)II only', 'C)III only', 'D)II and III', 'E)I, II, and III']", "role": "user", "uuid": "e4aec1a2-096a-4394-873d-af6b6d106e60" }, { "content": "(9-4) < AB < (9+4)\nThe answer is C.", "role": "assistant", "uuid": "30439dd9-4b35-4d7f-bae1-bea3fecf7ada" } ]

{ "coherence": 2.66, "complexity": 1.4, "correctness": 1.53, "helpfulness": 1.5, "instruction-following": 1.69, "safety": 6.41, "verbosity": 0.35, "verbosity-coeff": -0.2227 }

[ { "content": "Amanda has had 3 pay cuts in her salary in the past 6 months. If the first pay cut was 10%, the second pay cut was 10% and the third was 10%. What will be the percentage decrease, if the salary is decreased in a single shot?\n\n['A)27.1%', 'B)29.1%', 'C)21.1%', 'D)23.1%', 'E)25.1%']", "role": "user", "uuid": "b4a40db1-7acb-4e88-94cc-833e281ea7e4" }, { "content": "Let Rs.100 be initial salary.\nSalary After 1st decrease, 10% = 90\nSalary After 2nd decrease, 10% = 81 i.e. reduced by 19 percent of 90\nSalary After 3rd decrease, 10% = 72.9 i.e. reduced by 10 percent of 81\nSo if its decreased in single shot =\ni = ( ( b - a ) /b ) * 100\n=27.1%\nANSWER:A", "role": "assistant", "uuid": "29325f86-9fd0-4a49-901d-a2aee07d03b8" } ]

{ "coherence": 2.57, "complexity": 1.58, "correctness": 2.06, "helpfulness": 2.12, "instruction-following": 3.04, "safety": 5.24, "verbosity": 1.45, "verbosity-coeff": -0.1405 }

[ { "content": "When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "7a6e5f7c-d286-4939-a60e-a7b3ed38f906" }, { "content": "When n is divided by 8, the remainder is 3 may be written as\nn = 8 k + 3\nmultiply all terms by 6\n6 n = 6(8 k + 3) = 8(6k) + 18\nWrite 18 as 16 + 2 since 16 = 8 * 2.\n= 8(6k) + 16 + 2\nFactor 8 out.\n= 8(6k + 2) + 2\nThe above indicates that if 6n is divided by 8, the remainder is 2. The answer is C.", "role": "assistant", "uuid": "32d821e9-fd9c-487c-b937-46dd62296d76" } ]

{ "coherence": 2.94, "complexity": 2.31, "correctness": 2.29, "helpfulness": 2.35, "instruction-following": 2.82, "safety": 5.67, "verbosity": 1.77, "verbosity-coeff": -0.2488 }

[ { "content": "What is the rate percent when the simple interest on Rs.5000 amount to Rs.2500 in 5 Years?\n\n['A)9%', 'B)8%', 'C)10%', 'D)10.5%', 'E)7.5%']", "role": "user", "uuid": "3e098ac2-c5c0-46ca-b71a-8d74856fea63" }, { "content": "Interest for 1 year = 2500/5 = 500\nInterest on Rs 5000 p/a = 500\ninterest rate = 500/5000*100 = 10%\nAnswer : C", "role": "assistant", "uuid": "06dc8046-b5c0-42b5-bef0-ada47b4ce0f9" } ]

{ "coherence": 2.94, "complexity": 1.97, "correctness": 2.59, "helpfulness": 2.66, "instruction-following": 3.43, "safety": 4.81, "verbosity": 0.95, "verbosity-coeff": -0.0881 }

[ { "content": "After M students took a test, the average score was 56%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 60%?\n\n['A)M + 30', 'B)0.56M + 30', 'C)M + 28', 'D)2M + 28', 'E)2M + 30']", "role": "user", "uuid": "2f9ca56d-c6f1-480b-87a3-c49de5bb8121" }, { "content": "The total number of correct answers for M students is (0.56)*50*M=28*M\nFor an average of 75%: (total correct answers) / (M+1) = 0.6*50=30\nLet x be the number of correct answers for the next student.\n(x + 28M) / M+1 = 30\nx + 28M= 30M+30\nx = 2M + 30\nThe answer is E.", "role": "assistant", "uuid": "6f8686dd-27a1-4578-8e0a-66461fca2f05" } ]

{ "coherence": 2.98, "complexity": 1.71, "correctness": 2.45, "helpfulness": 2.76, "instruction-following": 2.92, "safety": 5.36, "verbosity": 1.08, "verbosity-coeff": -0.2138 }

[ { "content": "If 5 women or 8 girls can do a work in 84 days.In how many days can 10 women and 5 girls can do the same work?\n\n['A)32', 'B)33', 'C)34', 'D)35', 'E)cannot be determined']", "role": "user", "uuid": "33f71730-0ccc-4a10-9d1d-03758ba176ec" }, { "content": "Given that 5 women is equal to 8 girls to complete work/\nSo,10 women=16 girls.\n10 women+5 girls=16 girls+5 girls=21 girls.\n8 girls can do a work in 84 days then 21 girls can do a work in (8*84)/21=32 days\nTherefore 10 women and 5 girls can a work in 32 days.\nAnswer is option A", "role": "assistant", "uuid": "f4d0a1d9-ac31-4b63-b00b-e5d5511b7763" } ]

{ "coherence": 2.78, "complexity": 1.72, "correctness": 2.27, "helpfulness": 2.27, "instruction-following": 2.94, "safety": 5.79, "verbosity": 1.45, "verbosity-coeff": -0.1313 }

[ { "content": "Find the number of shares that can be bought for Rs.8200 if the market value is Rs.25 each with brokerage being 2.5%.\n\n['A)237', 'B)320', 'C)177', 'D)166', 'E)111']", "role": "user", "uuid": "23aa900f-32cc-4150-bbb2-5adc507fe9e6" }, { "content": "Explanation:\nCost of each share = (25 + 2.5% of 25) = Rs.25.625\nTherefore, number of shares = 8200/25.625 = 320\nANSWER:B", "role": "assistant", "uuid": "5cf1c7fc-fb79-4192-8486-69617b6c914a" } ]

{ "coherence": 3, "complexity": 1.68, "correctness": 2.33, "helpfulness": 2.8, "instruction-following": 4.09, "safety": 4.34, "verbosity": 1.42, "verbosity-coeff": -0.1184 }

[ { "content": "A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?\n\n['A)2:3', 'B)ratio 1:5', 'C)ratio 1:10', 'D)ratio 9:13', 'E)ratio 7:15']", "role": "user", "uuid": "d686275e-1a6b-4f3d-bdca-4f7f1db226f7" }, { "content": "Ratio of speeds = (200/60) 18/5 : 60*100/50 = 12:120 = 1:10\nAnswer is C", "role": "assistant", "uuid": "e74ba90f-a6e4-4707-ad6c-eccafe35b0ea" } ]

{ "coherence": 2.55, "complexity": 1.64, "correctness": 1.85, "helpfulness": 2.02, "instruction-following": 2.76, "safety": 6.49, "verbosity": 0.54, "verbosity-coeff": -0.126 }

[ { "content": "A train running at the speed of 54 km/hr crosses a pole in 9 sec. What is the length of the train?\n\n['A)135 m', 'B)786 m', 'C)566 m', 'D)546 m', 'E)445 m']", "role": "user", "uuid": "8365217f-acc4-4751-a48d-13678f62515e" }, { "content": "Speed = 54 * 5/18 = 15 m/sec\nLength of the train = speed * time = 15 * 9\n= 135 m\nAnswer: A", "role": "assistant", "uuid": "1a6ae329-b217-442d-9c9b-baab3e696016" } ]

{ "coherence": 3.29, "complexity": 0.93, "correctness": 3.13, "helpfulness": 3.33, "instruction-following": 4.54, "safety": 4.54, "verbosity": 0.59, "verbosity-coeff": -0.1204 }

[ { "content": "Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The age of Rajan's sister is:\n\n['A)32 years', 'B)36 years', 'C)38 years', 'D)40 years', 'E)45 years']", "role": "user", "uuid": "1b912372-4cc5-4bc2-8c70-4716c51128bb" }, { "content": "Explanation:\nLet Rajan's present age be x years.\nThen, his age at the time of marriage = (x - 8) years.\nx = 6/5 (x - 8)\n5x = 6x - 48 => x = 48\nRajan's sister's age at the time of his marriage = (x - 8) - 10 = 30 years.\nRajan's sister's present age = (30 + 8) = 38 years.\nANSWER IS C", "role": "assistant", "uuid": "caf018c0-239c-4c99-8946-39a80943391d" } ]

{ "coherence": 2.8, "complexity": 1.61, "correctness": 2.62, "helpfulness": 2.68, "instruction-following": 3.86, "safety": 4.62, "verbosity": 0.81, "verbosity-coeff": -0.13 }

[ { "content": "In a group of donkeys and pigs, the numbers of legs are 16 more than twice the number of heads. The number of donkeys is\n\n['A)6', 'B)8', 'C)11', 'D)12', 'E)13']", "role": "user", "uuid": "4a4357c1-a303-4814-ad96-0b574436e221" }, { "content": "Let the number of donkeys be x and the number of pigs be y. Then,\n4x + 2y = 2(x + y) = 16 or 2x + (2x + 2y) = (2x + 2y) +16\nor 2x = 16 or x = 8.\nANSWER:B", "role": "assistant", "uuid": "fb7f55b9-1faa-40f2-a69b-d723d9b43634" } ]

{ "coherence": 2.35, "complexity": 1.57, "correctness": 1.51, "helpfulness": 1.62, "instruction-following": 1.9, "safety": 4.3, "verbosity": 0.94, "verbosity-coeff": -0.1634 }

[ { "content": "Simplify: 997 x 997\n\n['A)999991', 'B)994009', 'C)999994', 'D)997009', 'E)999009']", "role": "user", "uuid": "312cc934-63c5-4219-97a9-ac341b567051" }, { "content": "997 x 997 = (1000 - 3)(1000 - 3)\n= 1000000 +9-3000-3000\n= 994009\nAnswer is B", "role": "assistant", "uuid": "be6c7046-5809-4e69-b8b3-ed873fc85c56" } ]

{ "coherence": 2.66, "complexity": 0.9, "correctness": 2.04, "helpfulness": 2.25, "instruction-following": 2.86, "safety": 4.07, "verbosity": 0.91, "verbosity-coeff": -0.097 }

[ { "content": "The number '7' is the prime followed by a cube.\nIs there any other number sharing the same quality?\n\n['A)No', 'B)Yes', 'C)May be', 'D)None of above', 'E)Do know']", "role": "user", "uuid": "c1eb68dc-617f-4b8f-bee2-8cb7c65f4730" }, { "content": "A\nNo\n7 is the only prime followed by a cube.\nAssume that n3-1 is a prime for some n.\nN3-1 will be equal to (n−1)(n2+n+1)\nNow, n-1 divides n3-1.\nIf n-1>1, then we will have a contradiction to n3-1 being a prime.", "role": "assistant", "uuid": "4de2fecf-701a-44af-9312-fef3938eec77" } ]

{ "coherence": 2.88, "complexity": 2.47, "correctness": 2.2, "helpfulness": 2.21, "instruction-following": 2.59, "safety": 4.93, "verbosity": 2.08, "verbosity-coeff": -0.1023 }

[ { "content": "If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?\n\n['A)100 km', 'B)1000 km', 'C)1 million km', 'D)1 billion km', 'E)None']", "role": "user", "uuid": "d1d17bc8-7abb-468d-b0f2-273038e2ec6c" }, { "content": "after 1 hold, thickness will be 2mm\nAfter 2 hold, thich ness will be 4mm\nafter 50th hold thick ness will be 2^50 mm..converting to km....gives 1 billion km\nANSWER:D", "role": "assistant", "uuid": "3bdcd954-57e0-4297-bcfd-18a0fd6ba249" } ]

{ "coherence": 2.49, "complexity": 1.77, "correctness": 2.02, "helpfulness": 1.94, "instruction-following": 2.43, "safety": 4.48, "verbosity": 1.35, "verbosity-coeff": -0.1257 }

[ { "content": "If x=1/5, which expression has the greatest value?\n\n['A)x^(1/3)', 'B)x^(1/2)', 'C)1/(2x)', 'D)x/.03', 'E)x^(-3)']", "role": "user", "uuid": "bf119245-c957-4f26-8b9e-66f2246fb907" }, { "content": "Options A and B are both less than 1.\nOption C: 1/(2(1/5)) = 5/2 = 2.5\nOption D: (1/5) / 0.03 = 1/0.15 = 6.6666...\nOption E: (1/5)^(-3) = 5^3 = 125\nThe answer is E.", "role": "assistant", "uuid": "2b9d82f9-62c6-45f0-89ee-d3679f5ecdae" } ]

{ "coherence": 3.41, "complexity": 2.1, "correctness": 2.9, "helpfulness": 2.8, "instruction-following": 3.09, "safety": 2.94, "verbosity": 1.21, "verbosity-coeff": -0.1683 }

[ { "content": "There are 15 points in a given plane, no three of which are on the same line. If one of the points is represented as 'S', then how many triangles can be determined with the 15 points that contain the point S?\n\n['A)91', 'B)105', 'C)182', 'D)210', 'E)455']", "role": "user", "uuid": "7f68e72e-b000-460c-ac61-67a92d3e4f1d" }, { "content": "Fist point is S which is fixed so can be selected in 1 way\nSecond point can be selected in 14 ways\nThird point can be selected in 13 ways\nso total ways = 1x14x13 = 182\nbut answer is 91 which is 182/2=C", "role": "assistant", "uuid": "13453d02-85aa-4e64-b561-736328788c32" } ]

{ "coherence": 2.45, "complexity": 1.78, "correctness": 1.64, "helpfulness": 1.8, "instruction-following": 1.67, "safety": 5.59, "verbosity": 1.16, "verbosity-coeff": -0.1915 }

[ { "content": "What is the least positive integer that is not a factor of 30! and is not a prime number?\n\n['A)31', 'B)32', 'C)33', 'D)62', 'E)64']", "role": "user", "uuid": "0ef1cec5-98aa-4d65-acde-d52dbf5b228d" }, { "content": "A) 31 is prime and per the question stem we cannot use this\nB) 32 = 2 * 16 - within 30! we have a 2 and 16 so 32 will be a factor of 30!\nC) 33 = 3 *11 - again within 30! we have a 3 and an 11 so 33 will be a factor of 30!\nD) 62 = 31 * 2 - Bingo 31 is not included in 30!\nE) 64 = 16 * 4 - both 16 and 4 are multiplied in 30!\nAnswer is D!", "role": "assistant", "uuid": "cfa907ca-3579-4b8c-b37b-a4be25322f94" } ]

{ "coherence": 2.72, "complexity": 1.72, "correctness": 2.59, "helpfulness": 2.35, "instruction-following": 2.35, "safety": 4.73, "verbosity": 1.21, "verbosity-coeff": -0.2529 }

[ { "content": "The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 45, what is the value of a?\n\n['A)21', 'B)25', 'C)28', 'D)30', 'E)33']", "role": "user", "uuid": "4859f032-95e4-4be1-aa2c-ad9a38e175bc" }, { "content": "Let a=2k, b=3k, and c=4k.\na+b+c = 2k+3k+4k = 9k\nSince the average is 45:\n9k/3 = 45\n3k = 45\nk=15\nThen a=30.\nThe answer is D.", "role": "assistant", "uuid": "442f23f1-2fc9-4f76-aa94-152acd3e9c67" } ]

{ "coherence": 3.33, "complexity": 1.48, "correctness": 2.57, "helpfulness": 2.76, "instruction-following": 3.13, "safety": 5.87, "verbosity": 0.59, "verbosity-coeff": -0.2258 }

[ { "content": "Which of the following is closest to (-6/7)^199？\n\n['A)-1', 'B)-1/2', 'C)0', 'D)1', 'E)2']", "role": "user", "uuid": "e1b5b0db-1c11-4913-b1d9-8314108a3343" }, { "content": "(-6/7)^4 = 1296/2401 which is already close to 1/2.\nFor larger exponents, the expression will get closer and closer to zero.\nThe answer is C.", "role": "assistant", "uuid": "9794d175-bcf3-43d6-a718-a66d228d8c83" } ]

{ "coherence": 3.17, "complexity": 1.82, "correctness": 2.33, "helpfulness": 2.12, "instruction-following": 2.35, "safety": 4.89, "verbosity": 1.68, "verbosity-coeff": -0.1772 }

[ { "content": "The sum of three integers is 24. The largest integer is 3 times the middle integer, and the smallest integer is 11 less than the largest integer. What is the product of the three integers?\n\n['A)200', 'B)225', 'C)250', 'D)275', 'E)300']", "role": "user", "uuid": "161629ed-1aed-4fa0-bb50-eaa38a2a110c" }, { "content": "Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 11.\n3x - 11 + x + 3x = 24\nx = 5\nThe three integers are 4, 5, and 15.\nThe product is 4*5*15 = 300\nThe answer is E.", "role": "assistant", "uuid": "480e1e35-a5ee-438c-b392-0b5b01451468" } ]

{ "coherence": 2.92, "complexity": 1.61, "correctness": 2.14, "helpfulness": 2.39, "instruction-following": 3.13, "safety": 4.32, "verbosity": 0.67, "verbosity-coeff": -0.2444 }

[ { "content": "If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?\n\n['A)1230', 'B)1340', 'C)1350', 'D)1540', 'E)1365']", "role": "user", "uuid": "3a2a0a46-0a18-4f09-8a53-af24d94cc24c" }, { "content": "A particular player is always chosen, it means that 10 players are selected out of the remaining 14 players.\n=. Required number of ways = 14C10 = 14C4\n= 14!/4!x19! = 1365\nE", "role": "assistant", "uuid": "23afa712-3d97-48f6-ad60-77b9cbdb99e5" } ]

{ "coherence": 2.78, "complexity": 1.97, "correctness": 2.21, "helpfulness": 2.31, "instruction-following": 3.02, "safety": 5.44, "verbosity": 1.08, "verbosity-coeff": -0.1424 }

[ { "content": "A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\n\n['A)18 sec', 'B)16 sec', 'C)76 sec', 'D)12 sec', 'E)17 sec']", "role": "user", "uuid": "7886f0dd-a683-4579-82a6-1cd6d5f4f356" }, { "content": "Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 210 * 2/35 = 12 sec\nAnswer:D", "role": "assistant", "uuid": "211c624a-1c01-4c93-8f52-726c306129a1" } ]

{ "coherence": 2.84, "complexity": 1.6, "correctness": 2.84, "helpfulness": 2.82, "instruction-following": 4.15, "safety": 5.2, "verbosity": 1.53, "verbosity-coeff": -0.0989 }

[ { "content": "The interest on a certain deposit at 5% per annum is Rs. 101.20 in one year. How much will the additional interest in one year be on the same deposit at 6% per annum?\n\n['A)Rs.20.8', 'B)Rs.19.74', 'C)Rs.20.24', 'D)Rs.19.5', 'E)Rs.19.00']", "role": "user", "uuid": "acdd1f7f-eed1-4844-bac9-3bec2f7bd521" }, { "content": "Explanation :\nPrincipal, P = 100×SI/RT=100×101.20/5×1=20×101.20=Rs. 2024\nSimple Interest for Rs.2024 at 6% per annum for 1 year, SI = 2024×6×1100=121.44\nAdditional Interest = Rs.121.44 - Rs.101.20 = Rs.20.24\nAnswer : Option C", "role": "assistant", "uuid": "fca1ef3b-9a60-4f5b-a222-ed7b0015392f" } ]

{ "coherence": 2.72, "complexity": 2.12, "correctness": 2.14, "helpfulness": 2.51, "instruction-following": 2.59, "safety": 4.44, "verbosity": 1.51, "verbosity-coeff": -0.1466 }

[ { "content": "The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre.\n\n['A)Rs. 15,550', 'B)Rs. 15,600', 'C)Rs. 16,500', 'D)Rs. 17,600', 'E)Rs. 17,900']", "role": "user", "uuid": "4afecb7e-94bf-4d9a-a6a7-3f0286670c3a" }, { "content": "Area of the floor = (5.5 × 4) m2 = 22 m2.\nCost of paving = Rs. (800 × 22) = Rs. 17600.\nAnswer: Option D", "role": "assistant", "uuid": "7bc64cc4-2f1f-4583-aed7-b0bbe4196e05" } ]

{ "coherence": 3.09, "complexity": 1.3, "correctness": 2.57, "helpfulness": 2.96, "instruction-following": 3.5, "safety": 4.89, "verbosity": 1.19, "verbosity-coeff": -0.1248 }

[ { "content": "If the average marks of three batches of 55, 60 and 45 students respectively is 40, 62, 58, then the average marks of all the students is\n\n['A)54.48', 'B)53.31', 'C)54.6', 'D)54.58', 'E)None of these']", "role": "user", "uuid": "936ac0db-841f-44a5-8450-48e67bb3bb30" }, { "content": "Explanation:\n(55×40)+(60×62)+(45×58) / 55+60+45\n8530 / 160=53.3\nOption B", "role": "assistant", "uuid": "0126a952-258a-48da-b243-a2a7b69bfdff" } ]

{ "coherence": 2.53, "complexity": 1.09, "correctness": 1.93, "helpfulness": 2.12, "instruction-following": 2.61, "safety": 5.44, "verbosity": 0.55, "verbosity-coeff": -0.1122 }

[ { "content": "Rajesh, Sunil and Tarun enter into a partnership. Rajesh invested Rs.25000 and after one year he adds Rs.10,000 more. Sunil initially invests Rs.35,000 and after 2 years he withdraws Rs.10,000 and Tarun invests Rs.19,000 in the beginning only. Then ratio of their profits after 3 years will be\n\n['A)05:30:00', 'B)05:30:00', 'C)05:30:00', 'D)05:30:00', 'E)None']", "role": "user", "uuid": "36c132ee-d4b9-48e6-8484-4494d472dff6" }, { "content": "Ratio of their profits after 3 years\n=25000×1+35000×2 :35000×2+25000×1:19000×3\n=25×1+35×2:35×2+25×1:19×3\n=95:95:57\n=5:5:3\nANSWER:E", "role": "assistant", "uuid": "743e58e1-2942-4830-8094-27b0e8eba599" } ]

{ "coherence": 2.53, "complexity": 1.59, "correctness": 2.02, "helpfulness": 2.06, "instruction-following": 2.31, "safety": 4.29, "verbosity": 1.25, "verbosity-coeff": -0.0998 }

[ { "content": "A 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?\n\n['A)230m', 'B)240m', 'C)250m', 'D)260m', 'E)270m']", "role": "user", "uuid": "b29f1a25-6583-4ead-a3df-39899b8a1685" }, { "content": "speed = (120 + 80)km/h (because direction is opposite hence relative velocity is added)= 500/9 m/s\ntime= 9sec\nlet the lenght of second train is x\ntotal distance covered= 240 + x\ntherefore, D= speed*time\nthus 240 + x = 500/9 * 9\nx= 500-240=260 m\nANSWER:D", "role": "assistant", "uuid": "3f151ecc-7444-4d9c-8c6a-b54d6874416f" } ]

{ "coherence": 2.59, "complexity": 1.79, "correctness": 2.37, "helpfulness": 2.45, "instruction-following": 3.09, "safety": 5.28, "verbosity": 1.41, "verbosity-coeff": -0.1144 }

[ { "content": "The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.\n\n['A)15', 'B)25', 'C)35', 'D)45', 'E)55']", "role": "user", "uuid": "5abb691a-fcb5-4c54-8896-5be9291e787a" }, { "content": "Let the number of students who wrote the exam be x.\nTotal marks of students = 80 x.\nTotal marks of (x - 5) students = 90(x - 5)\n80x - (5 * 20) = 90(x - 5)\n350 = 10x => x = 35\nANSWER:C", "role": "assistant", "uuid": "38c650da-d026-41f7-abf7-2d4cc86c3fc7" } ]

{ "coherence": 3, "complexity": 2.1, "correctness": 2.45, "helpfulness": 2.64, "instruction-following": 3.76, "safety": 4.81, "verbosity": 1.48, "verbosity-coeff": -0.143 }

[ { "content": "A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?\n\n['A)26/18', 'B)42/15', 'C)48/63', 'D)12/36', 'E)150/23']", "role": "user", "uuid": "86339bd0-33f8-4a27-9ff9-eae57529e974" }, { "content": "One day work of A and B = 1/5\nOne day work of B and C = 1/15\nOne day work of C and A = 1/25\n2(A + B + C) = 1/5+ 1/15 + 1/25\n2(A + B + C) = 23/75\n(A + B + C) = 23/150\nNumber of days required = 150/23 days.\nAnswer: E", "role": "assistant", "uuid": "d526bef6-b446-4aa4-9280-f08264955e36" } ]

{ "coherence": 2.72, "complexity": 1.35, "correctness": 1.72, "helpfulness": 2.04, "instruction-following": 2.8, "safety": 5.09, "verbosity": 0.58, "verbosity-coeff": -0.1452 }

[ { "content": "How many two digit numbers of distinct digits can be formed by using digits 3, 4, 5, 6,7 and 8 such that the numbers are divisible by 9?\n\n['A)3', 'B)4', 'C)5', 'D)6', 'E)8']", "role": "user", "uuid": "b57ab9ce-3597-42c5-a2e9-2e208e2a8639" }, { "content": "CONCEPT: A number will be divisible by 9 if sum of all the digits of the number is divisible by 9\nHere the Possible sum of the two distinct digits can be 9 only in order to satisfy the given condition\nIf sum of Digits = 9, No. = 36, 45, 54, 63 --- 4 Cases\nAnswer: option B", "role": "assistant", "uuid": "aae3bb98-383e-4d67-b62f-31118d946961" } ]

{ "coherence": 2.49, "complexity": 1.36, "correctness": 1.85, "helpfulness": 2.08, "instruction-following": 2.39, "safety": 6.96, "verbosity": 0.94, "verbosity-coeff": -0.191 }

[ { "content": "A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so?\n\n['A)6 ½ sec', 'B)4 ½ sec', 'C)9 ½ sec', 'D)8 ½ sec', 'E)2 ½ sec']", "role": "user", "uuid": "6400e98a-587c-4ae3-bc6e-908266274e4b" }, { "content": "D = 170\nS = 72 * 5/18 = 20 mps\nT = 170/20 = 8 ½ sec\nAnswer: D", "role": "assistant", "uuid": "56d1e344-f586-4081-9fe4-65a39fbb7f5a" } ]

{ "coherence": 2.76, "complexity": 1.68, "correctness": 2.68, "helpfulness": 2.72, "instruction-following": 3.72, "safety": 5.55, "verbosity": 1, "verbosity-coeff": -0.1198 }

[ { "content": "The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 294 sq. cm, what is the width of the rectangle?\n\n['A)10 cm', 'B)12 cm', 'C)14 cm', 'D)16 cm', 'E)18 cm']", "role": "user", "uuid": "24adf465-575d-419b-b30f-8bd486860597" }, { "content": "2L+2W = 5W\nL = 3W/2\nW*L = 294\n3W^2/2 = 294\nW^2 = 196\nW = 14\nThe answer is C.", "role": "assistant", "uuid": "8a914bf9-47d7-46bc-90e2-737c11f48b57" } ]

{ "coherence": 3.25, "complexity": 1.2, "correctness": 2.33, "helpfulness": 2.66, "instruction-following": 3.33, "safety": 6.38, "verbosity": 0.29, "verbosity-coeff": -0.1572 }

[ { "content": "Population of a city in 20004 was 1000000. If in 2005 there is an increment of 30% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007\n\n['A)967532', 'B)977522', 'C)984424', 'D)997454', 'E)1225250']", "role": "user", "uuid": "3c927559-88e2-4f72-a082-f1e2dcf46689" }, { "content": "Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100)\n= P (1 + 30/100)(1 - 35/100)(1 + 45/100)\n= 1225250\nE", "role": "assistant", "uuid": "71b717f0-5c03-4ba0-85f3-16ad55b367aa" } ]

{ "coherence": 2.74, "complexity": 1.55, "correctness": 2.23, "helpfulness": 2.33, "instruction-following": 3.33, "safety": 5.09, "verbosity": 1.39, "verbosity-coeff": -0.1221 }

[ { "content": "A train 320 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\n\n['A)22 kmph', 'B)77 kmph', 'C)54 kmph', 'D)72 kmph', 'E)88 kmph']", "role": "user", "uuid": "436eeb5b-7f8c-4cc6-a1d1-4d04ed4568c8" }, { "content": "S = 320/16 * 18/5 = 72 kmph\nAnswer:D", "role": "assistant", "uuid": "8977fbda-26be-4d31-b604-de33acc274d1" } ]

{ "coherence": 2.62, "complexity": 1.38, "correctness": 2.35, "helpfulness": 2.31, "instruction-following": 3.39, "safety": 4.97, "verbosity": 0.78, "verbosity-coeff": -0.1124 }

[ { "content": "A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9% p.a. in 5 years. What is the sum?\n\n['A)2762', 'B)2877', 'C)2882', 'D)8925', 'E)2887']", "role": "user", "uuid": "38ddbff9-59f0-4429-9522-1c9ba61d2853" }, { "content": "Principal = (100 * 4016.25) / (9 * 5)\n= Rs.8925.\nAnswer:D", "role": "assistant", "uuid": "f41da98e-eb3d-46c3-8ef9-50514f3db81e" } ]

{ "coherence": 3.19, "complexity": 1.45, "correctness": 2.41, "helpfulness": 2.68, "instruction-following": 4.23, "safety": 4.62, "verbosity": 1.28, "verbosity-coeff": -0.1144 }

[ { "content": "A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A\n\n['A)20600', 'B)20700', 'C)20500', 'D)20400', 'E)None of these']", "role": "user", "uuid": "5d2e6afc-2eec-40cf-990d-555468566739" }, { "content": "Explanation :\nA : B : C = (20000*5 +15000*7) : (20000*5 +16000*7) : (20000*5 +26000*7)\n= (20*5 + 15*7) : (20*5 + 16*7) : (20*5 + 26*7)\n= 205 : 212 : 282\nA's share = 69900 * 205/(205+212+282) = 69900*205/699 = 20500. Answer : Option C", "role": "assistant", "uuid": "109dbe9b-4fa1-4bfa-98a2-0a1c93272f30" } ]

{ "coherence": 2.78, "complexity": 1.48, "correctness": 2.16, "helpfulness": 2.41, "instruction-following": 2.92, "safety": 5.75, "verbosity": 1.02, "verbosity-coeff": -0.1094 }

[ { "content": "what is the remainder of 18!/23?\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)5']", "role": "user", "uuid": "501d2539-eb20-445f-8b54-36be283d4165" }, { "content": "Let rem[18!/23]=r\nWilson's Theorem says rem[(p-2)!/p]=1\nrem[21!/23]=1\nrem[21*20*19*18!/23]=1\nrem[(-2)(-3)(-4)*r/23]=1\nrem[-24r/23]=1\n24r=-23K+1 ... k=-1\nr=23+1/24\nr=1\nANSWER:A", "role": "assistant", "uuid": "a21a15c1-b292-4831-9fb0-a97135fbb29d" } ]

{ "coherence": 2.78, "complexity": 2.16, "correctness": 2.12, "helpfulness": 1.92, "instruction-following": 1.84, "safety": 3.31, "verbosity": 1.74, "verbosity-coeff": -0.1291 }

[ { "content": "if 105 is represented as 253 in base 6,how is 253 represented in base 6?\n\n['A)1100', 'B)1101', 'C)1111', 'D)1011', 'E)1010']", "role": "user", "uuid": "5bd95fe3-6178-4c09-95fa-0e3d6d093978" }, { "content": "(105)base6=253\nthen (253)base6=1101\nbecause 253%6=1 and 253/6=42\nthen 42%6=0 and 42/6=7\nthen7%6=1 and 7/6 = 1\nand then 1%6=1 and 1/6=0\nwe see remainder part in reverse order that is 1101\nso ans is 1101\nANSWER:B", "role": "assistant", "uuid": "97240666-7060-4916-b469-81750da47f3b" } ]

{ "coherence": 2.51, "complexity": 2.21, "correctness": 2.31, "helpfulness": 2.31, "instruction-following": 2.78, "safety": 6.14, "verbosity": 1.79, "verbosity-coeff": -0.1105 }

[ { "content": "It takes Joey the postman 1 hours to run a 6 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 8 mile/hour, what is the speed with which Joey returns?\n\n['A)11', 'B)12', 'C)13', 'D)14', 'E)15']", "role": "user", "uuid": "f5ca5d34-428d-4541-ae8b-c304cbcf63d9" }, { "content": "let his speed for one half of the journey be 6 miles an hour\nlet the other half be x miles an hour\nnow,\navg speed =8 mile an hour\n2*6*x/6+x=8\n12x=8x+48=>x=12\nB", "role": "assistant", "uuid": "68bb1110-5e5a-419a-9e81-2ef2eb91d878" } ]

{ "coherence": 2.62, "complexity": 1.89, "correctness": 1.96, "helpfulness": 1.83, "instruction-following": 2.16, "safety": 5.28, "verbosity": 1.41, "verbosity-coeff": -0.1673 }

[ { "content": "Look carefully for the pattern, and then choose which pair of numbers comes next.\n28 25 5 21 18 5 14\n\n['A)11 5', 'B)10 7', 'C)11 8', 'D)5 10', 'E)10 5']", "role": "user", "uuid": "ce836d32-03f7-44ff-848e-d79cd9a740ae" }, { "content": "Explanation: This is an alternating subtraction series with the interpolation of a random number, 5, as every third number. In the subtraction series, 3 is subtracted, then 4, then 3, and so on.\nAnswer: Option A", "role": "assistant", "uuid": "05813607-3f38-4dee-a0f3-1b782a0aaf66" } ]

{ "coherence": 2.55, "complexity": 1.42, "correctness": 2.16, "helpfulness": 2.2, "instruction-following": 2.41, "safety": 4.62, "verbosity": 1.47, "verbosity-coeff": -0.1034 }

[ { "content": "A person crosses a 800m long street in 10 minnutes. What is his speed in km per hour?\n\n['A)5.8km/hr', 'B)4.68km/hr', 'C)9km/hr', 'D)2.5km/hr', 'E)3km/hr']", "role": "user", "uuid": "661819ea-c9fd-4f60-9526-09ae2820b0de" }, { "content": "Speed = 800/10*60 = 1.3m/sec\n=1.3*18/5\n=4.68km/hr\nAnswer is B", "role": "assistant", "uuid": "baf87ea3-45ec-4ae1-b118-5020f277cbea" } ]

{ "coherence": 2.72, "complexity": 0.98, "correctness": 1.92, "helpfulness": 2, "instruction-following": 3.21, "safety": 5.48, "verbosity": 0.48, "verbosity-coeff": -0.1166 }

[ { "content": "3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 170kg then find the average weight of all the 7 rounds?\n\n['A)97.1 kgs', 'B)88.5 kgs', 'C)86.5 kgs', 'D)67.5 kgs', 'E)88.2 kgs']", "role": "user", "uuid": "b23c2931-3322-47dc-8251-705bce82da2c" }, { "content": "Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 170/7 = 97.1kgs\nAnswer:A", "role": "assistant", "uuid": "b476f77e-4dc2-4c28-a1fb-7b849fb5733b" } ]

{ "coherence": 2.61, "complexity": 1.94, "correctness": 1.95, "helpfulness": 1.99, "instruction-following": 2.84, "safety": 4.01, "verbosity": 1.19, "verbosity-coeff": -0.0979 }

[ { "content": "Car A travels at three times the average speed of car B. Car A started to travel at 12:00 o'clock, car B started to travel at 16:00 o'clock. What is the speed of car B (in Km/h) if the total distance that both cars traveled until 18:00 was 6000 Km?\n\n['A)10.', 'B)25.', 'C)300.', 'D)38.', 'E)50.']", "role": "user", "uuid": "dfb4b3ff-3fe4-46f2-bc75-e21a31a27c08" }, { "content": "Total distance= Distance travelled by A +Distance travelled by car B\nDistance= speed*time\nDistance of A= 3x * 6\nDistance of B= x*2\n(3x * 6) + (x*2) = 6000\nx= 300 KM/hr\nC is the answer", "role": "assistant", "uuid": "bdcaa2cf-417e-4efd-8d6f-044156029b67" } ]

{ "coherence": 3.15, "complexity": 1.98, "correctness": 2.43, "helpfulness": 2.49, "instruction-following": 2.64, "safety": 5.28, "verbosity": 0.72, "verbosity-coeff": -0.1418 }