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[ { "content": "Fiind the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?\n\n['A)5200', 'B)2882', 'C)5460', 'D)2342', 'E)2900']", "role": "user", "uuid": "effc7443-7f69-43df-a2f1-01e9e6296434" }, { "content": "5000 * 104/100 * 105/100\n=> 5460\nAnswer: C", "role": "assistant", "uuid": "787b84f1-dcd8-4345-aebe-4faf71561e32" } ]

{ "coherence": 2.94, "complexity": 0.72, "correctness": 2.47, "helpfulness": 2.8, "instruction-following": 3.95, "safety": 5.16, "verbosity": 0.67, "verbosity-coeff": -0.0836 }

[ { "content": "Given two sets X = {1,1,4,4,3,3} and Y = {0,1}, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number\n\n['A)1/2', 'B)1/6', 'C)1/5', 'D)1/7', 'E)1/8']", "role": "user", "uuid": "c2ed3d09-aa8b-458b-b31e-acc8bf2547f9" }, { "content": "One way to look at it:\nThe number from set X can be ANYTHING.\nThe number selected from set Y will determine whether the sum is odd or even.\nFor example, if a 4 is selected from set X, we need a 0 from set Y to get an even sum.\nIf a 3 is selected from set X, we need a 1 from set Y to get an even sum.\nAnd so on.\nSo, P(sum is even) = P(select ANY number from set X ANDselect the number from set Y that makes the sum even)\n= P(select ANY number from set X)xP(select the number from set Y that makes the sum even)\n= 1x1/2\n= 1/2\n= A", "role": "assistant", "uuid": "175eb3b7-1062-4b54-8ba6-646f5ea0f7de" } ]

{ "coherence": 2.92, "complexity": 1.99, "correctness": 2.43, "helpfulness": 2.27, "instruction-following": 2.39, "safety": 4.97, "verbosity": 1.89, "verbosity-coeff": -0.1218 }

[ { "content": "A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?\n\n['A)120 m', 'B)180 m', 'C)324 m', 'D)Cannot be determined', 'E)None of these']", "role": "user", "uuid": "91f2e4cd-a4f1-4645-bfa7-c2fc10f087a0" }, { "content": "Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m\nANSWER:E", "role": "assistant", "uuid": "4cfbc6c7-7ce1-4e94-8aea-a710dde1a524" } ]

{ "coherence": 2.43, "complexity": 1.46, "correctness": 2.2, "helpfulness": 2.25, "instruction-following": 3.09, "safety": 5.24, "verbosity": 1.05, "verbosity-coeff": -0.1129 }

[ { "content": "Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 14000. What was Simran's share in the profit?\n\n['A)Rs. 9423', 'B)Rs. 10,250', 'C)Rs. 12,500', 'D)Rs. 6000', 'E)None of these']", "role": "user", "uuid": "0442ecb6-6b59-413a-b547-295bc5d6c1c7" }, { "content": "Simran : Nanda = (50000 * 36) : (80000 * 30) = 3:4\nSimran's share = 14000 * 3/7 = Rs. 6000\nANSWER:D", "role": "assistant", "uuid": "539de606-9009-459c-964a-5bba6e9e1da6" } ]

{ "coherence": 2.72, "complexity": 1.2, "correctness": 2.18, "helpfulness": 2.37, "instruction-following": 3.52, "safety": 5.28, "verbosity": 1.13, "verbosity-coeff": -0.1161 }

[ { "content": "If a class of 10 students has six men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?\n\n['A)5!4!', 'B)6!5!', 'C)4!4!', 'D)10!', 'E)10!/5!']", "role": "user", "uuid": "f16925c3-b3b1-4e34-b3dc-8d736bac5e61" }, { "content": "for no two men to sit together, either all are in even or odd position\nfix one at any one position then rest five can be fixed in 5! ways...\nalso rest six position of women can be fixed in 6!..\ntotal ways 6!5!\nB", "role": "assistant", "uuid": "47ab23a4-b66c-4590-888c-a1133b5b6508" } ]

{ "coherence": 2.66, "complexity": 1.54, "correctness": 2.14, "helpfulness": 2.16, "instruction-following": 2.8, "safety": 5.28, "verbosity": 0.96, "verbosity-coeff": -0.1413 }

[ { "content": "The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.\nIn a game of blackjack, if your first card is a spade, what are the W odds that it is an ace?\n\n['A)1/52', 'B)1/26', 'C)1/13', 'D)1/4', 'E)5/13']", "role": "user", "uuid": "7df96f4a-c740-42fd-9689-d3c8bed55dcd" }, { "content": "The question should ask about the probability not the odds.\nThere are 13 spades, the probability W that the spade we already have is an ace is therefore 1/13.\nAnswer: C.", "role": "assistant", "uuid": "6aeacfa6-f25c-46be-8899-6994b10fb16e" } ]

{ "coherence": 3.17, "complexity": 1.51, "correctness": 2.84, "helpfulness": 2.72, "instruction-following": 2.62, "safety": 5.24, "verbosity": 1.28, "verbosity-coeff": -0.0971 }

[ { "content": "For all numbers l and m, the operation @ is defined by l@m = l^2 - lm. If xy ≠ 0, then which of the following can be equal to zero?\nI. x@y\nII. (xy)@y\nIII. x@(x + y)\n\n['A)II', 'B)I and II', 'C)I and III', 'D)II and III', 'E)All of the above']", "role": "user", "uuid": "c2664eb7-6c83-4d32-aca0-8549559adbef" }, { "content": "l@m= l^2 - lm=l(l-m).... so l@m will be zero if l=m or l=0.. but a cannot be equal to 0.. as per Q, x and y can take any int value except 0...\nnow lets look at the choices..\nwhen x=y, it will be 0... so ok...\nwhen we put xy=y, it is possible when x=1 and y any integer... so ok again\nwhen we put x=x+y.... only possibility when y=0 and it is given x and y cannot be 0....so not possible\nonly l and ll possible\nanswer: B", "role": "assistant", "uuid": "730c775c-054b-41d4-a2df-65f9fffaa0d2" } ]

{ "coherence": 2.27, "complexity": 2.18, "correctness": 1.65, "helpfulness": 1.54, "instruction-following": 1.91, "safety": 5.91, "verbosity": 1.5, "verbosity-coeff": -0.2041 }

[ { "content": "In a village of 100 households, 75 have at least one DVD player, 85 have at least one cell phone, and 70 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:\n\n['A)65', 'B)55', 'C)40', 'D)35', 'E)25']", "role": "user", "uuid": "926774f6-0d95-414c-bd8f-2d9b1837a8fa" }, { "content": "Am I missing something here??? it seems straightforward......\nThe obvious maximum that have all 3 is 70, because you are limited by the SMALLEST number.\nThe minimum is simply the sum of the max of each people who DONT have the product, so:\n100-85 = 15 don't have Cell\n100-75 = 25 don't have DVD\nand 100-70 = 30 don't have MP3\nSO a total of 15+25+30 = 70 combined who might NOT have SOME combination of the 3 products. So subtract that from 100, to give you the minimum of the people who COULD have all 3 and you get 100-70 = 30.\n70-30 = 40\nC", "role": "assistant", "uuid": "00e515f7-9a50-467f-bbd7-56892a1655ff" } ]

{ "coherence": 2.41, "complexity": 1.94, "correctness": 2.08, "helpfulness": 1.96, "instruction-following": 1.9, "safety": 4.73, "verbosity": 1.66, "verbosity-coeff": -0.1381 }

[ { "content": "Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?\n\n['A)0.125%', 'B)1.25%', 'C)12.5%', 'D)30%', 'E)0.352%']", "role": "user", "uuid": "4a362559-cbe1-449b-9aa7-032c040c1e0d" }, { "content": "9.18x+5.17x+2.05x = 16.4x = 170 cookies\nx= 170/16.4 = 10 (approx)\nSo, Ingrid baked 10*5.17 cookies or 51 cookies (approx)\n% share = 51/170 =30 approx\nHence, answer is D.", "role": "assistant", "uuid": "641ed5da-216a-4add-8f9d-f3980be2c6dd" } ]

{ "coherence": 2.61, "complexity": 1.38, "correctness": 1.37, "helpfulness": 1.25, "instruction-following": 1.51, "safety": 5.75, "verbosity": 0.51, "verbosity-coeff": -0.1283 }

[ { "content": "The difference between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?\n\n['A)4', 'B)8', 'C)16', 'D)20', 'E)none']", "role": "user", "uuid": "5984bd8a-a3c5-4281-be72-c1a066d3c91b" }, { "content": "Since the number is greater than the number obtained on reversing the digits, so the ten's digit is greater than the unit's digit.\nLet ten's and unit's digits be 2x and x respectively.\nThen, (10 x 2x + x) - (10x + 2x) = 36\n9x = 36\nx = 4.\nRequired difference = (2x + x) - (2x - x) = 2x = 8.\nAnswer = B", "role": "assistant", "uuid": "ee0b7fa0-687c-4e84-87d2-7a7cceaf7068" } ]

{ "coherence": 2.86, "complexity": 2.2, "correctness": 2.57, "helpfulness": 2.74, "instruction-following": 3.33, "safety": 5.98, "verbosity": 1.46, "verbosity-coeff": -0.2156 }

[ { "content": "A computer store offers employees a 10% discount off the retail price. If the store purchased a computer from the manufacturer for $800 dollars and marked up the price 10% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (10% off retail price) as opposed to the final retail price.\n\n['A)86', 'B)88', 'C)90', 'D)92', 'E)94']", "role": "user", "uuid": "77964566-3543-4b68-9c4a-e71836846926" }, { "content": "Cost price=800\nProfit=10% =10% of 800=80\nselling price=CP+ Profit\nSP=880\na Discount of 10% to employees means 10% off on 880\nso 10% of 880= 88\nAns B", "role": "assistant", "uuid": "f94df622-6c06-4fd6-b1e3-b2f9f12559c8" } ]

{ "coherence": 2.43, "complexity": 1.61, "correctness": 2.37, "helpfulness": 2.39, "instruction-following": 3.09, "safety": 5.75, "verbosity": 1.28, "verbosity-coeff": -0.153 }

[ { "content": "In the faculty of Reverse-Engineering, 230 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?\n\n['A)515.', 'B)545.', 'C)618.', 'D)649.', 'E)666.']", "role": "user", "uuid": "f2a62002-f78f-40e8-86a9-141707229708" }, { "content": "Answer is D :649\nSolution : Total number of students studying both are 423 + 230 - 134 = 519 (Subtracting the 134 since they were included in the both the other numbers already).\nSo 80% of total is 519, so 100% is approx. 649.", "role": "assistant", "uuid": "9932578b-9746-4063-8227-86d357d727fc" } ]

{ "coherence": 3.11, "complexity": 1.2, "correctness": 2.45, "helpfulness": 2.53, "instruction-following": 2.98, "safety": 5.24, "verbosity": 0.81, "verbosity-coeff": -0.1368 }

[ { "content": "What will be the compound interest on a sum of Rs. 23,000 after 3 years at the rate of 12% p.a.?\n\n['A)Rs. 9313.34', 'B)Rs. 9720', 'C)Rs. 10123.20', 'D)Rs. 10483.20', 'E)None']", "role": "user", "uuid": "d738bb85-4c52-406e-a9f5-ef3828e7c89d" }, { "content": "Amount = [23000 * (1 + 12/100)3]\n= 23000 * 28/25 * 28/25 * 28/25 = Rs. 32313.34\nC.I. = (32313.34- 23000) = Rs. 9313.34\nANSWER:A", "role": "assistant", "uuid": "5ce7007f-c2d3-42b8-b5f6-887fb8163055" } ]

{ "coherence": 2.88, "complexity": 2.16, "correctness": 2.27, "helpfulness": 2.55, "instruction-following": 3.82, "safety": 4.01, "verbosity": 1.62, "verbosity-coeff": -0.1178 }

[ { "content": "An article is bought for Rs.675 and sold for Rs.900, find the gain percent?\n\n['A)33 1/8%', 'B)33 1/9%', 'C)33 1/3%', 'D)33 8/3%', 'E)33 2/3%']", "role": "user", "uuid": "c490f15a-af97-49ac-b48e-1300928652f9" }, { "content": "675 ---- 225\n100 ---- ? => 33 1/3%\nAnswer: C", "role": "assistant", "uuid": "b3a02c4b-b838-4903-b840-6e9e76e910dc" } ]

{ "coherence": 3.09, "complexity": 1.43, "correctness": 2.96, "helpfulness": 2.88, "instruction-following": 3.88, "safety": 5.55, "verbosity": 0.81, "verbosity-coeff": -0.1029 }

[ { "content": "A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?\n\n['A)67 min', 'B)45 min', 'C)97 min', 'D)30 min', 'E)16 min']", "role": "user", "uuid": "56d52d7a-6395-4512-b8eb-bf8273a6a8ff" }, { "content": "Part filled by (A + B) in 1 minute\n= (1/60 + 1/40) = 1/24\nSuppose the tank is filled in x minutes.\nThen, x/2(1/24 + 1/40)\n= 1\nx/2 * 1/15 = 1 => x\n= 30 min.\nAnswer: D", "role": "assistant", "uuid": "3097eaff-16eb-4b15-8276-daf212830242" } ]

{ "coherence": 2.84, "complexity": 1.81, "correctness": 2.49, "helpfulness": 2.84, "instruction-following": 3.46, "safety": 6.22, "verbosity": 1.23, "verbosity-coeff": -0.1191 }

[ { "content": "A library has an average of 425 visitors on Sundays and 325 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :\n\n['A)140', 'B)240', 'C)260', 'D)280', 'E)340']", "role": "user", "uuid": "8c54c316-a27b-45ab-9106-3a1d598b9656" }, { "content": "Explanation:\nSince the month begins with a Sunday, so there will be five Sundays in the month,\nRequired average = (415 * 5 + 325 * 25) / 30 = 10200/30 = 340\nAnswer: E) 340", "role": "assistant", "uuid": "54b5e877-7c39-47ca-8f77-67c2869f36ea" } ]

{ "coherence": 2.94, "complexity": 1.02, "correctness": 2.02, "helpfulness": 2.33, "instruction-following": 3.21, "safety": 4.89, "verbosity": 0.54, "verbosity-coeff": -0.1226 }

[ { "content": "If an average hard drive had a capacity of 0.4 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?\n\n['A)256', 'B)512', 'C)4096', 'D)1024', 'E)1536']", "role": "user", "uuid": "ea8794ab-c520-4b6d-be27-a6349b09c417" }, { "content": "0.4*2^10=0.4*1024=409.6\nThe answer is C.", "role": "assistant", "uuid": "8caf2af7-9e80-41b8-acbd-e88381272ad1" } ]

{ "coherence": 2.74, "complexity": 1.8, "correctness": 2.08, "helpfulness": 2.2, "instruction-following": 2.35, "safety": 6.06, "verbosity": 0.94, "verbosity-coeff": -0.107 }

[ { "content": "A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 4:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet?\n\n['A)10.18 p.m', 'B)10.29 p.m', 'C)11.30 p.m', 'D)10.38 p.m', 'E)10.32 p.m']", "role": "user", "uuid": "89599d3f-ce1d-4446-a5ff-0a5c521174cb" }, { "content": "D = 70 * 1 ½ = 105 km\nRS = 85 – 70 = 15\nT = 105/15 = 7 h\n4.30 + 7 h = 11.30 p.m.\nAnswer:C", "role": "assistant", "uuid": "85064f01-51b7-457c-bd51-eb5ff75ca208" } ]

{ "coherence": 2.39, "complexity": 1.5, "correctness": 1.81, "helpfulness": 2.02, "instruction-following": 2.98, "safety": 6.1, "verbosity": 0.61, "verbosity-coeff": -0.1153 }

[ { "content": "A certain school implemented a reading program for its students, with the goal of getting each student to read 5 books per month year-round. If the school has c classes made up of s students in each class, how many books will the entire student body read in one year?\n\n['A)20cs', 'B)cs/2', 'C)60cs', 'D)(2cs)/12', 'E)(24c)/s']", "role": "user", "uuid": "1c5b0dff-0eee-4136-ae07-017859200a9a" }, { "content": "Ans: C\nSolution: simple multiplication s students , c classes , 5 books/ month= 60 books a year\ntotal number of books = 60cs", "role": "assistant", "uuid": "c4ac33a4-b2fb-4197-9b43-61399d931d55" } ]

{ "coherence": 2.7, "complexity": 1.32, "correctness": 2.25, "helpfulness": 2.45, "instruction-following": 2.51, "safety": 3.23, "verbosity": 0.93, "verbosity-coeff": -0.1824 }

[ { "content": "A shirt goes on sale for 60% of its original price. One week later, the sale price is marked down 10%. The final price is what percent of the original price?\n\n['A)72%', 'B)70%', 'C)52%', 'D)50%', 'E)28%']", "role": "user", "uuid": "59a09479-89b9-4384-87e4-53400f8e5e22" }, { "content": "Just assume original price is 100.\nSale price = 60\nThen it is marked down by 10% = 60-6=52.\nHence it is 52% od the original price. Hence answer is C.", "role": "assistant", "uuid": "9a51cd8c-3de5-40a0-8df5-51d69bc0f176" } ]

{ "coherence": 2.92, "complexity": 1.08, "correctness": 2.18, "helpfulness": 2.14, "instruction-following": 2.06, "safety": 6.02, "verbosity": 0.53, "verbosity-coeff": -0.1907 }

[ { "content": "The price for a loaf of bread in April was $1.14, in May the price was $1.35, and in June the price was $1.05. If 2/3 as much bread was sold in April as in May, and twice as much was sold in June as in April, what was the average price for a loaf of bread sold during the three-month period?\n\n['A)$1.13', 'B)$1.14', 'C)$1.15', 'D)$1.16', 'E)$1.17']", "role": "user", "uuid": "6b1bcd8d-8d55-41a4-bc5b-f8f185b576fb" }, { "content": "Let x be the number of loaves sold in May.\nThen 2x/3 loaves were sold in April and 4x/3 loaves were sold in June.\nThe average price was (2x/3)(114) + 135x + (4x/3)(105) / (2x/3 + x + 4x/3) =\n(76 + 135 + 140) / (3) = 351/3 = $1.17\nThe answer is E.", "role": "assistant", "uuid": "e686dc09-5eba-4f98-b582-196c9c592537" } ]

{ "coherence": 3, "complexity": 1.1, "correctness": 2.21, "helpfulness": 2.39, "instruction-following": 3.02, "safety": 3.95, "verbosity": 0.54, "verbosity-coeff": -0.1569 }

[ { "content": "John had a stock of 800 books in his bookshop. He sold 62 on Monday, 62 on Tuesday, 60 on Wednesday, 48 on Thursday and 40 on Friday. What percentage of the books were not sold?\n\n['A)78%', 'B)66%', 'C)62%', 'D)64%', 'E)60%']", "role": "user", "uuid": "944f2b4a-ce39-41c9-ae08-aa1aa518e509" }, { "content": "Let N be the total number of books sold. Hence\nN = 62 + 62 + 60 + 48 + 40 = 272\nLet M be the books NOT sold\nM = 800 - N = 1400- 272= 528\nPercentage\nBooks not sold / total number of books = 528/800= 0.66 = 66%\ncorrect answer B", "role": "assistant", "uuid": "f2a3a3b3-9a5e-459a-8ab3-ff4fc48d422d" } ]

{ "coherence": 2.9, "complexity": 1.55, "correctness": 2.49, "helpfulness": 2.35, "instruction-following": 2.8, "safety": 5.36, "verbosity": 1.54, "verbosity-coeff": -0.1162 }

[ { "content": "If A lends Rs.4000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?\n\n['A)112.5', 'B)122.5', 'C)132.5', 'D)114.5', 'E)180']", "role": "user", "uuid": "ff7c2df8-bb27-4e5a-a2a0-4fe0c21847c6" }, { "content": "(4000*1.5*3)/100 => 180\nANSWER:E", "role": "assistant", "uuid": "87160955-d19c-480f-8e09-95db13339376" } ]

{ "coherence": 3, "complexity": 0.93, "correctness": 2.2, "helpfulness": 2.43, "instruction-following": 2.9, "safety": 5.09, "verbosity": 0.6, "verbosity-coeff": -0.1219 }

[ { "content": "At what rate percent per annum will the simple interest on a sum of money be 4/5 of the amount in 10 years?\n\n['A)4%', 'B)7%', 'C)8%', 'D)3%', 'E)1%']", "role": "user", "uuid": "700cb215-80a5-4a95-b087-b486b75f8c45" }, { "content": "Let sum = x. Then, S.I. =4x/5, Time\n= 10 years.\nRate = (100 * 4x) / (x * 5 * 10)\n= 8%\nAnswer: C", "role": "assistant", "uuid": "94bdc049-2453-4a2d-a69c-9dd4eca2557f" } ]

{ "coherence": 3, "complexity": 2.64, "correctness": 2.49, "helpfulness": 2.61, "instruction-following": 3.64, "safety": 5.98, "verbosity": 1.01, "verbosity-coeff": -0.1693 }

[ { "content": "The average of 6 no.'s is 3.95. The average of 2of them is 3.4, while the average of theother 2 is 3.85. What is the average of the remaining 2 no's?\n\n['A)3.5', 'B)3.9', 'C)3.1', 'D)4.5', 'E)4.6']", "role": "user", "uuid": "7d90bd9f-cdd9-4d3d-9a8a-df3c95a20a08" }, { "content": "Sum of the remaining two numbers = (3.95 * 6) - [(3.4 * 2) + (3.85 * 2)]\n= 23.70 - (6.8 + 7.7) = 23.70 - 14.5 = 9.20.\nRequired average = (9.2 / 2) = 4.6.\nE", "role": "assistant", "uuid": "b35e811a-803f-48d4-9678-21ca151ecc7d" } ]

{ "coherence": 2.96, "complexity": 1.68, "correctness": 2.1, "helpfulness": 2.14, "instruction-following": 3.25, "safety": 5.48, "verbosity": 1.17, "verbosity-coeff": -0.1583 }

[ { "content": "At what price should the Karan mark a sewing machine that costs him Rs. 1200/- so that even after offering a 20% discount, he makes 20% profit?\n\n['A)1,879', 'B)1,875', 'C)1,876', 'D)1,872', 'E)1,800']", "role": "user", "uuid": "c70f121a-af38-45b9-9b3f-848f7a7f1f12" }, { "content": "Cost of a sewing machine = Rs. 1200/-\nBy giving 20% discount on the marked price of a sewing machine, the cost price is :\n100/80 * 1200 = Rs. 1500/- By making a profit of 20% on the cost price of a sewing machine, the marked price of the sewing machine is:\n120/100 × 1500 = Rs. 1,800/-\nANSWER: 3", "role": "assistant", "uuid": "fb928c1b-39e2-4c07-a782-0b83c6e5a3c3" } ]

{ "coherence": 2.1, "complexity": 2.47, "correctness": 1.54, "helpfulness": 1.81, "instruction-following": 2.08, "safety": 4.34, "verbosity": 1.97, "verbosity-coeff": -0.1278 }

[ { "content": "The length of a rectangular plot is 10mtr more than its width. The cost of fencing the plot along its perimeter at the rate of Rs. 6.5mtr is Rs.2210. The perimeter of the plot is?\n\n['A)126', 'B)156', 'C)340', 'D)321', 'E)260']", "role": "user", "uuid": "f0082925-aeac-4570-9ed2-4a20161193e4" }, { "content": "Sol. Let width = x, Length = (10+x)\nPerimeter = 2(x+(10+x))\n= 2(2x=10)\n& 2(2x+10)*6.5 = 2210\nX = 80\nRequired perimeter = 2(80+90) = 340\nC", "role": "assistant", "uuid": "295aab34-da3d-4211-acbb-0ae04227a94b" } ]

{ "coherence": 2.61, "complexity": 1.45, "correctness": 1.52, "helpfulness": 1.64, "instruction-following": 2.47, "safety": 6.38, "verbosity": 0.45, "verbosity-coeff": -0.1153 }

[ { "content": "I remember during the school days , the teacher asked the class \"can you tell me the sum of the first 50 odd numbers ?\".\nI ran quickly to the teacher and told her \"the answer is 2500\". The teacher replied \"lucky guess\".\nShe then asked me \"can you tell me the sum of first 74 odd numbers ?\".\nI wait for approx 10 seconds and replied with the correct answer.\nHow can i answer so quickly and whats the correct answer ?\n\n['A)8715', 'B)0152', 'C)3581', 'D)5476', 'E)9126']", "role": "user", "uuid": "319b19d8-cc3e-44f6-8f09-641bf8094e6b" }, { "content": "D\n5476\nn^1\n74 * 74 = 5476 (sum of first 74 odd numbers).\n50 * 50 = 2500 (sum of first 50 odd numbers).", "role": "assistant", "uuid": "79f043e8-ebed-4c2d-bb24-33c5c7a3a7b5" } ]

{ "coherence": 2.23, "complexity": 1.06, "correctness": 1.19, "helpfulness": 1.23, "instruction-following": 1.19, "safety": 2.37, "verbosity": 0.68, "verbosity-coeff": -0.1236 }

[ { "content": "If 7687 books need to be placed in boxes and each box can contain at most 9 books. How many books will be in the last unfilled box?\n\n['A)27 books', 'B)1 book', 'C)28 books', 'D)0 books', 'E)8 books']", "role": "user", "uuid": "dc69e581-6587-49ac-b3d4-639c4e49876a" }, { "content": "The number of books that can be placed in boxes of 9 books is the first number that is divisible by 9 that occurs before 7687.\nIn order to divide the sum in 9 parts, the amount must be divisible by 9\nDivisibility rule of 9: The sum of the digits must be divisible by 9\nSum of digits of 7687 =28 and 27 is divisible by 9.\nHence, we need to remove 1 to this number for it to be divisible by 9\nCorrect Option:B", "role": "assistant", "uuid": "6137634b-4aa7-4c1f-a57c-5f145d292779" } ]

{ "coherence": 2.35, "complexity": 2.04, "correctness": 1.89, "helpfulness": 2, "instruction-following": 2.23, "safety": 6.8, "verbosity": 1.72, "verbosity-coeff": -0.1775 }

[ { "content": "If X,Y is 22%,30% smaller than Z then how much percentage is Y greater than X?\n\n['A)10 10/39%', 'B)13%', 'C)13 1/2%', 'D)14%', 'E)15%']", "role": "user", "uuid": "8933800a-c967-40cd-a546-92a30dfb43f1" }, { "content": "X = 78 %\nY = 70 %\nZ = 100 %\nX-Y/X × 100 = 8/78 × 100 = 10 10/39% greater than X\nA)", "role": "assistant", "uuid": "9223b3c2-c3fe-464e-8a66-316a82bf8c07" } ]

{ "coherence": 2.82, "complexity": 1.52, "correctness": 1.87, "helpfulness": 1.8, "instruction-following": 1.97, "safety": 5.09, "verbosity": 0.74, "verbosity-coeff": -0.1183 }

[ { "content": "A+B+C = 500\nA+C = 200\nB+C = 350\n--------------\nA+B+2C = 550\nA+B+C = 500\n----------------\nC = 50\nAnswer: A\n\n['A)50', 'B)27', 'C)26', 'D)28', 'E)24']", "role": "user", "uuid": "8933eb18-4656-49c8-af43-5175073637b7" }, { "content": "S = 4\nM = x\nDS = x + 4\nUS = x - 4\n6/(x + 4) + 6/(x - 4) = 2\nx = 8\nAnswer: C", "role": "assistant", "uuid": "cb36e7e3-8d47-4a71-ae02-656aac70ec4e" } ]

{ "coherence": 2.39, "complexity": 1.33, "correctness": 1.03, "helpfulness": 0.93, "instruction-following": 0.94, "safety": 3.66, "verbosity": 0.16, "verbosity-coeff": -0.1139 }

[ { "content": "60% of a number is added to 120, the result is the same number. Find the number?\n\n['A)300', 'B)200', 'C)400', 'D)500', 'E)600']", "role": "user", "uuid": "ed0707af-537f-4051-aa27-d19bb5cc9572" }, { "content": "(60/100) * X + 120 = X\n2X = 600\nX = 300\nANSWER:A", "role": "assistant", "uuid": "97c230e7-a91f-4acb-b631-8392f3e8ec71" } ]

{ "coherence": 2.84, "complexity": 1.89, "correctness": 2.37, "helpfulness": 2.51, "instruction-following": 3.27, "safety": 4.7, "verbosity": 0.98, "verbosity-coeff": -0.1136 }

[ { "content": "What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?\n\n['A)20%', 'B)29%', 'C)70%', 'D)27%', 'E)5%']", "role": "user", "uuid": "5811599f-2f71-4acc-8e48-9adbe706a622" }, { "content": "SP2 = 2/3 SP1\nCP = 100\nSP2 = 70\n2/3 SP1 = 70\nSP1 = 105\n100 --- 105 => 5%\nAnswer: E", "role": "assistant", "uuid": "30d6978c-a8fe-43c8-ad70-c298a30dcd86" } ]

{ "coherence": 2.96, "complexity": 1.76, "correctness": 2.74, "helpfulness": 2.76, "instruction-following": 2.96, "safety": 5.24, "verbosity": 0.96, "verbosity-coeff": -0.1801 }

[ { "content": "Currently guavas cost 60 cents/pound. Due to a disease affecting the guava trees it is expected that next month apples will cost 250% more than they do currently. How much are guavas expected to cost next month?\n\n['A)110 cents /pound', 'B)150 cents /pound', 'C)180 cents /pound', 'D)200 cents /pound', 'E)210 cents /pound']", "role": "user", "uuid": "734779b2-4d95-4854-a0a0-faeafe54c31b" }, { "content": "If a new cost is p percent greater than the old cost, then (new cost) = (old cost) + (p/100)(old cost).\nIn this case, (new cost) = 60 cents/pound + (250/100)(60 cents/pound)\n= 60 cents/pound + 150 cents/pound\n= 210 cents /pound\nAnswer : E", "role": "assistant", "uuid": "e7b3b3ed-9118-418f-a22f-b99d09ceed41" } ]

{ "coherence": 3, "complexity": 1.28, "correctness": 2.49, "helpfulness": 2.78, "instruction-following": 3.84, "safety": 4.54, "verbosity": 1.24, "verbosity-coeff": -0.1004 }

[ { "content": "A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:\n\n['A)59 7/12 min. past 3', 'B)4 p.m.', 'C)58 7/12 min. past 3', 'D)58 7/11 min. past 4', 'E)2 3/11 min. past 4']", "role": "user", "uuid": "20f4454f-2c0e-4738-b627-8270e1a35ff1" }, { "content": "Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. =\t37/4\thrs.\n3 min. 5 sec. of this clock = 3 min. of the correct clock.\n37/720 hrs of this clock =1/20 hrs of the correct clock.\n37/4\thrs of this clock =1/20 x 720/37 x 37/4 hrs of the correct clock.\n= 9 hrs of the correct clock.\nThe correct time is 9 hrs after 7 a.m. i.e., 4 p.m.\nAnswer: B", "role": "assistant", "uuid": "dd635d9c-f905-4910-b095-156fae712ba6" } ]

{ "coherence": 2.55, "complexity": 2.1, "correctness": 2.35, "helpfulness": 2.49, "instruction-following": 3.02, "safety": 6.06, "verbosity": 1.94, "verbosity-coeff": -0.117 }

[ { "content": "Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?\n\n['A)2400', 'B)2408', 'C)2487', 'D)2429', 'E)2123']", "role": "user", "uuid": "565c9664-ce65-47a1-9e34-f69064963669" }, { "content": "First persons investment = x\nSecond persons investment = x + 1000\nThird persons investments = x + 2000\nx + x + 1000 + x + 2000 = 9000\n3x = 6000\nx = 2000\nRatio = 2000 : 3000 : 4000\n2:3:4\n4/9 * 54000 = 2400\nAnswer:A", "role": "assistant", "uuid": "301c3172-0e9e-4b8a-99bc-d2b9602e75bb" } ]

{ "coherence": 2.68, "complexity": 1, "correctness": 2.57, "helpfulness": 2.78, "instruction-following": 4.01, "safety": 6.26, "verbosity": 1.13, "verbosity-coeff": -0.1187 }

[ { "content": "A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are repeated.Find the possible no of combinations divisible by 36?\n\n['A)18', 'B)36', 'C)38', 'D)48', 'E)58']", "role": "user", "uuid": "d547344f-4d80-4507-a81f-5b62bc1d306d" }, { "content": "lcm of 36 = 3 *3 * 4 the four digit number should be divisible by 3 and 4 then it is divisible by 36 adding all the digits 6+2+7+5=20 not divisible by 20 so\nany 4 digit number formed by this is not divisible by 36\nANSWER:B", "role": "assistant", "uuid": "6af7577f-e1c2-4492-b938-725334ff0227" } ]

{ "coherence": 1.76, "complexity": 1.46, "correctness": 1, "helpfulness": 1.01, "instruction-following": 1.12, "safety": 4.89, "verbosity": 1.14, "verbosity-coeff": -0.1079 }

[ { "content": "The radius of a wheel is 20.4 cm. What is the distance covered by the wheel in making 400 resolutions?\n\n['A)512.448 m', 'B)704 m', 'C)510.448 m', 'D)706 m', 'E)204 m']", "role": "user", "uuid": "77703993-2e9c-4688-abfb-24cd37deabbb" }, { "content": "In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 400 resolutions.\n= 400 * 2 * 22/7 * 20.4 = 51244.8 cm\n= 512.448 m\nAnswer:A", "role": "assistant", "uuid": "e02f1e17-4a85-4219-8e3b-ec7d40d30a59" } ]

{ "coherence": 2.82, "complexity": 1.44, "correctness": 2.39, "helpfulness": 2.62, "instruction-following": 4.05, "safety": 4.38, "verbosity": 1.47, "verbosity-coeff": -0.1098 }

[ { "content": "A factory has 500 workers, 20 percent of whom are women. If 50 additional workers are to be hired and all of the present workers remain, how many of the additional workers must be women in order to raise the percent of women employees to 20 percent?\n\n['A) 3', 'B) 10', 'C) 25', 'D) 30', 'E) 35']", "role": "user", "uuid": "a9bbea3b-7ed0-47b0-8231-1ff7c3d9d1df" }, { "content": "Currently the factory has 0.20*500=100 women.\nAfter 50 additional workers are hired, there will be total of 550 workers and we need 0.2*550=110 of them to be women, so we need 110-100=10 more women.\nAnswer: B.", "role": "assistant", "uuid": "f79a889c-f36c-4454-8a55-d57b76576a55" } ]

{ "coherence": 3.41, "complexity": 0.12, "correctness": 2.74, "helpfulness": 2.96, "instruction-following": 3.13, "safety": 6.3, "verbosity": -0.03, "verbosity-coeff": -0.2422 }

[ { "content": "A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?\n\n['A)5.2 hrs', 'B)2.9 hrs', 'C)1.9 hrs', 'D)7.5 hrs', 'E)1.4 hrs']", "role": "user", "uuid": "e8c20623-5998-4b3d-a3fd-ef2449187b98" }, { "content": "Net part filled in 1 hour = (1/3 - 1/5) = 2/15\nThe cistern will be filled in 15/2 hrs i.e., 7.5 hrs.\nAnswer:D", "role": "assistant", "uuid": "92e81f03-7b63-488f-9324-374b9616e654" } ]

{ "coherence": 3.23, "complexity": 1.66, "correctness": 2.82, "helpfulness": 2.94, "instruction-following": 3.91, "safety": 5.98, "verbosity": 1.16, "verbosity-coeff": -0.1163 }

[ { "content": "Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is\n\n['A)3', 'B)4', 'C)7', 'D)fourth no=11', 'E)12']", "role": "user", "uuid": "7db05057-83a5-483b-afc0-776fd3bf4a94" }, { "content": "(a+b+c+d)/4=4\n=>(a+b+c+d)=16...........(1)\n(d+e+f+g)/4=4\n=>(d+e+f+g)=16\n=>(e+f+g)=16-d...........(2)\nAlso, (a+b+c+d+e+f+g)/7=3 (Given)\nusing (1) and (2) equations\n16+16-d=21\n=> d=11\nANSWER:D", "role": "assistant", "uuid": "11751308-6297-40fd-9b26-7d483f1afbb2" } ]

{ "coherence": 2.66, "complexity": 1.74, "correctness": 1.99, "helpfulness": 2.27, "instruction-following": 3.05, "safety": 5.95, "verbosity": 1.34, "verbosity-coeff": -0.1011 }

[ { "content": "What is the smallest possible common multiple of three integers, all larger than 22?\n\n['A)27.', 'B)54.', 'C)846.', 'D)19,656.', 'E)23']", "role": "user", "uuid": "05334449-76ea-4f8f-acda-8254f14de301" }, { "content": "The Least common positive multiple would be for the immediate least number(s) after 22 i.e 22.\nSince nowhere is it stated that the three integers must be different, the integers could be 22,22 and 22... leading to least possible positive common multiple to be 22. Answer E.", "role": "assistant", "uuid": "73b36b1d-3a6f-463b-afed-e886f3d983a6" } ]

{ "coherence": 2.29, "complexity": 1.27, "correctness": 1.59, "helpfulness": 1.55, "instruction-following": 0.73, "safety": 4.77, "verbosity": 0.92, "verbosity-coeff": -0.2352 }

[ { "content": "In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many Q cents does a liter of kerosene cost? [One dollar has 100 cents.]\n\n['A) 0.33', 'B) 0.44', 'C) 0.55', 'D) 44', 'E) 55']", "role": "user", "uuid": "d2170c33-ba9e-4fe1-9aba-a46414a395e6" }, { "content": "Main thing to remember is answer is asked in cents, however when we calculate, it comes up as 0.44 $\nJust multiply by 100, Answer Q= 44.D", "role": "assistant", "uuid": "d6a81491-7e3b-4d76-a19c-6d227d76428b" } ]

{ "coherence": 2.62, "complexity": 1.42, "correctness": 2.27, "helpfulness": 2.04, "instruction-following": 2.12, "safety": 5.44, "verbosity": 0.81, "verbosity-coeff": -0.1942 }

[ { "content": "A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3?\n\n['A)3/8', 'B)7/8', 'C)1/8', 'D)1/2', 'E)1/4']", "role": "user", "uuid": "31e31975-733f-4d78-8f02-89e8b586396d" }, { "content": "There are 8 possible outcomes and only one (111) has a sum equal or less than 3.\nP(the sum is greater than 3) = 1 - 1/8 = 7/8\nThe answer is B.", "role": "assistant", "uuid": "4b4d4e6a-53b0-49f1-a0d7-778252bcf437" } ]

{ "coherence": 3.25, "complexity": 1.47, "correctness": 2.84, "helpfulness": 2.92, "instruction-following": 3.52, "safety": 5.63, "verbosity": 0.85, "verbosity-coeff": -0.1157 }

[ { "content": "How long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?\n\n['A)50 sec', 'B)45 sec', 'C)55 sec', 'D)65 sec', 'E)51 sec']", "role": "user", "uuid": "8a0bf1fb-434c-43bd-9a27-b56d8a6041d7" }, { "content": "C\n55 sec\nT = (660 + 165)/54 * 18/5\nT = 55", "role": "assistant", "uuid": "05f863ca-541b-454d-86f0-33461064a172" } ]

{ "coherence": 2.76, "complexity": 1.46, "correctness": 2.25, "helpfulness": 2.43, "instruction-following": 2.94, "safety": 5.16, "verbosity": 0.92, "verbosity-coeff": -0.1198 }

[ { "content": "If the length of the sides of two cubes are in the ratio 7:1, what is the ratio of their total surface area?\n\n['A)7:1', 'B)14:1', 'C)21:1', 'D)42:1', 'E)49:1']", "role": "user", "uuid": "6db933c4-e33c-4eaf-8fcb-44f2908c01a0" }, { "content": "Let x be the length of the small cube's side.\nThe total surface area of the small cube is 6x^2.\nThe total surface area of the large cube is 6(7x)^2=294x^2.\nThe ratio of surface areas is 49:1.\nThe answer is E.", "role": "assistant", "uuid": "20b37665-43d1-48d3-bf3c-75832d22d470" } ]

{ "coherence": 3.07, "complexity": 1.25, "correctness": 2.21, "helpfulness": 2.43, "instruction-following": 3.02, "safety": 5.79, "verbosity": 0.61, "verbosity-coeff": -0.2005 }

[ { "content": "If .003^4 is represented in its shortest possible decimal form, how many 0’s to the right of the decimal point does it contain?\n\n['A)0', 'B)8', 'C)9', 'D)10', 'E)11']", "role": "user", "uuid": "62a33916-12a0-4b6a-aa56-2c96269fbee7" }, { "content": "0.003^4= (3*10^-3)^4 = 81*10^-12 = 0.81*10^-10 which would have 10 zeros to the right of the decimal point. The answer is D.", "role": "assistant", "uuid": "fdedc656-e3fe-4ac9-bdd2-79e06f7a5c10" } ]

{ "coherence": 2.88, "complexity": 1.4, "correctness": 2.12, "helpfulness": 1.95, "instruction-following": 2.2, "safety": 4.19, "verbosity": 0.64, "verbosity-coeff": -0.162 }

[ { "content": "There was a cycle race going on. 1/5th of the those in front of a person and 5/6th of those behind him\ngives the total number of participants. How many people took part in the race?\n\n['A)31', 'B)39', 'C)30', 'D)33', 'E)34']", "role": "user", "uuid": "5cb2019e-72fd-4c8b-8894-6f9ae4b9c99e" }, { "content": "Explanation :\nLet total participants be (x+1)\nThen\n=> (1 / 5) * x + (5/6) * x = x+1\n=> 31x/30=x+1\n=> x=30\nSo total participants (x+1)=31\nHence (A) is the correct answer.\nAnswer : A", "role": "assistant", "uuid": "2da1f742-4ee1-4459-9d27-e97ea67308a3" } ]

{ "coherence": 2.9, "complexity": 2.18, "correctness": 2.45, "helpfulness": 2.61, "instruction-following": 3.37, "safety": 5.71, "verbosity": 1.5, "verbosity-coeff": -0.1172 }

[ { "content": "The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 90 kmph. Find the speed of the boat in still water and the speed of the stream?\n\n['A)10 kmph.', 'B)15 kmph.', 'C)18 kmph.', 'D)11 kmph.', 'E)12 kmph.']", "role": "user", "uuid": "abfb9640-ad28-4a31-bc4d-2a55667d677a" }, { "content": "Speed of the boat in still water = (60+90)/2 = 75 kmph. Speed of the stream = (90-60)/2\n= 15 kmph.\nAnswer:B", "role": "assistant", "uuid": "74ef5578-194b-4a0f-b222-8368a96e1be9" } ]

{ "coherence": 3.05, "complexity": 0.73, "correctness": 2.45, "helpfulness": 2.57, "instruction-following": 3.29, "safety": 6.02, "verbosity": 0.36, "verbosity-coeff": -0.1136 }

[ { "content": "Find the odd man out.\n8, 20, 14, 21, 16, 28, 32\n\n['A)16', 'B)21', 'C)8', 'D)28', 'E)14']", "role": "user", "uuid": "9a57a2eb-fb05-44a8-baa7-6653c8047786" }, { "content": "Explanation:\nEach of the numbers except 21 is a even numbers.\nAnswer: B) 21", "role": "assistant", "uuid": "0d0d7bcb-0446-4281-8618-c7b372f3ae9d" } ]

{ "coherence": 3.17, "complexity": 1.2, "correctness": 3.27, "helpfulness": 3.27, "instruction-following": 3.37, "safety": 3.39, "verbosity": 0.96, "verbosity-coeff": -0.0892 }

[ { "content": "A straight line is formed using two points A(3,3) and B(6,6). Another point P(x,y) lies between A and B such that AP/BP = 8. What are the coordinates of P?\n\n['A)(7/3, 7/3)', 'B)(17/3, 17/3)', 'C)(8/9, 8/9)', 'D)(8/3, 8/3)', 'E)(7/8, 7/8)']", "role": "user", "uuid": "ef8a8658-435e-4fd5-ad64-91944be414e7" }, { "content": "The equation of the straight line is y = x, so the x- and y-coordinates of P are the same.\nThe x, y coordinates are 8/9 of the distance from 3 to 6.\nx = 3 + (6-3)*(8/9) = 3 + 8/3 = 17/3 = y\nThe answer is B.", "role": "assistant", "uuid": "120a8cde-0330-4c0d-bc8d-d3c57d78d703" } ]

{ "coherence": 2.94, "complexity": 1.92, "correctness": 2, "helpfulness": 2.06, "instruction-following": 2.51, "safety": 4.89, "verbosity": 1.2, "verbosity-coeff": -0.1187 }

[ { "content": "Otto and Han are driving at constant speeds in opposite directions on a straight highway. At a certain time they are driving toward each other and are 10 miles apart. One and a half hours later, they are again 10 miles apart, driving away from each other. If Otto drives at a speed of x miles per hour, then, in terms of x, Han drives at a speed of how many miles per hour?\n\n['A)a) 13.33-x', 'B)b) 40-x', 'C)c) 80-2x', 'D)d) 120-x', 'E)e) 40-x/2']", "role": "user", "uuid": "625f3559-fc46-47de-bcb3-693bfc4e464c" }, { "content": "Let's say the two cars have speeds V1 and V2. The fact that they are moving in opposite direction means that their relative speed is (V1 + V2). In other words, any gap between them will be changing in size at a rate of (V1 + V2). It doesn't matter whether they are moving toward each other or away from each other. If they are approaching each other, the gap between them is decreasing at a rate of (V1 + V2). If they are moving away from each other, the gap between them is increasing at a rate of (V1 + V2). Either way, the number for the rate of change remains the same.\nHere, the two cars approach a distance 10 mi, then move away from each other another distance of 10 miles. That's a total distance of 20 miles in 1.5 hr, which gives a rate of:\nR = (20 mi)/(1.5) = 13.33 mph\nThat's the rate of change of the gap, so it must equal the sum of the speeds of the two cars.\nOne of the speeds is x, and let's call the other y. We want y.\nx + y = 13.33\ny = 13.33 - x\nAnswer =(A)", "role": "assistant", "uuid": "eb2cc399-6653-4c90-83a2-46579f57644f" } ]

{ "coherence": 2.86, "complexity": 1.79, "correctness": 2.33, "helpfulness": 2.29, "instruction-following": 3.02, "safety": 4.81, "verbosity": 0.72, "verbosity-coeff": -0.1937 }

[ { "content": "The length of a rectangular landscape is 4times its breadth. There is a playground in it whose area is 1200 square mtr & which is 1/3rd of the total landscape. What is the length of the landscape?\n\n['A)100', 'B)110', 'C)120', 'D)134', 'E)145']", "role": "user", "uuid": "b58f0e26-c5bc-4bdd-9633-143af92603c0" }, { "content": "Sol. x * 4x = 3 * 1200\nx = 30\nLength = 4 * 30 = 120\nC", "role": "assistant", "uuid": "7d0dd0ee-fcf1-406e-8efd-2512c4fb454c" } ]

{ "coherence": 2.88, "complexity": 1.52, "correctness": 2.23, "helpfulness": 2.27, "instruction-following": 3, "safety": 6.06, "verbosity": 0.26, "verbosity-coeff": -0.1106 }

[ { "content": "The compound ratio of 2/3, 6/7, 1/5 and 1/8 is given by?\n\n['A)7/98', 'B)1/48', 'C)1/98', 'D)3/350', 'E)1/68']", "role": "user", "uuid": "14597cb4-fe13-4dd3-b326-96975155b43a" }, { "content": "2/3 * 6/7 * 1/5 * 1/8 = 12/1400 = 3/350\nANSWER:D", "role": "assistant", "uuid": "4d9c4715-1e28-4668-b535-94bd36e34bc8" } ]

{ "coherence": 2.94, "complexity": 1.74, "correctness": 2.37, "helpfulness": 2.57, "instruction-following": 3.21, "safety": 4.54, "verbosity": 0.91, "verbosity-coeff": -0.0906 }

[ { "content": "A departmental store charges the commission of 18 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?\n\n['A) $215,000', 'B) $365,000', 'C) $115,000', 'D) $200,000', 'E) $160,000']", "role": "user", "uuid": "e5bf7caa-1059-4897-b99f-313e4190f070" }, { "content": "24,000 = 0.18 *(50000) + 0.10 (x - 50000)\n24000 - 9000 = 0.10 (x-50000)\n150000 = x - 50000\nx = 2,00,000\nAnswer : D", "role": "assistant", "uuid": "bc9e0aaa-8ae4-42ec-a9ea-682750dbd4cd" } ]

{ "coherence": 2.47, "complexity": 1.05, "correctness": 1.28, "helpfulness": 1.71, "instruction-following": 1.99, "safety": 5.2, "verbosity": 0.53, "verbosity-coeff": -0.158 }

[ { "content": "Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?\n\n['A)42, 33', 'B)42, 36', 'C)44, 33', 'D)44, 36', 'E)45, 46']", "role": "user", "uuid": "a1422c83-9d51-484e-9f79-75adc86939d9" }, { "content": "Explanation:\nLet the marks secured by them be x and (x + 9)\nThen sum of their marks = x + (x + 9) = 2x + 9\nGiven that (x + 9) was 56% of the sum of their marks\n=>(x + 9) = 56/100(2x + 9)\n=> (x + 9) = 14/25 (2x+9)\n=> 25x + 225 = 28x + 126\n=> 3x = 99 => x = 33\nThen (x + 9) = 33 + 9 = 42\nHence their marks are 33 and 42\nAnswer: Option A", "role": "assistant", "uuid": "395a8e46-8857-404f-811a-41d89b11c0be" } ]

{ "coherence": 2.92, "complexity": 1.94, "correctness": 2.62, "helpfulness": 2.82, "instruction-following": 3.21, "safety": 5.09, "verbosity": 1.4, "verbosity-coeff": -0.1223 }

[ { "content": "A 210 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train?\n\n['A)290', 'B)280', 'C)270', 'D)260', 'E)250']", "role": "user", "uuid": "ec034904-9c39-4b4a-8b3c-fbddeeef89e6" }, { "content": "Relative speed = 120 + 80 = 200 km/hr.\n= 200 * 5/18 = 500/9 m/sec.\nLet the length of the other train be x m.\nThen, (x + 210)/9 = 500/9 => x = 290.\nAnswer: Option A", "role": "assistant", "uuid": "216538a3-6d0b-4106-b926-1cf02bba026e" } ]

{ "coherence": 3.04, "complexity": 2, "correctness": 2.92, "helpfulness": 3.25, "instruction-following": 3.84, "safety": 5.16, "verbosity": 1.26, "verbosity-coeff": -0.1178 }

[ { "content": "The time on a clock is 20 minutes past 5. What is the angle between the hands of the clock?\n\n['A)60 degrees', 'B)20 degrees', 'C)30 degrees', 'D)50 degrees', 'E)40 degrees']", "role": "user", "uuid": "c2de2eaf-1929-4a0c-baca-1bbb8b1c71b9" }, { "content": "The hour hand rotates 360 degrees in twelve hours.\nThe hour hand rotates 30 degrees in one hour.\nThe hour hand rotates 5 degrees in ten minutes.\nAt this time, the hour hand has rotated 160 degrees.\nThe minute hand rotates 360 degrees in 60 minutes, or 60 degrees in ten minutes.\nAt this time, the minute hand has rotated 120 degrees.\nThe difference is 160 - 120 = 40 degrees.\nThe answer is E.", "role": "assistant", "uuid": "4e9d65b2-48f4-4022-9f34-d762ac27477d" } ]

{ "coherence": 2.78, "complexity": 1.79, "correctness": 2.31, "helpfulness": 2.2, "instruction-following": 2.68, "safety": 5.75, "verbosity": 1.65, "verbosity-coeff": -0.1915 }

[ { "content": "The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 28,000 is made?\n\n['A)Rs. 1,10,000', 'B)Rs. 1,20,000', 'C)Rs. 1,24,000', 'D)Rs. 1,21,000', 'E)None of these']", "role": "user", "uuid": "6d0e2c73-87ef-4560-b95d-a514c839894f" }, { "content": "The value of the machine after two years = 0.8 * 0.8 * 1,50,000 = Rs. 96,000\nSP such that a profit of Rs. 24,000 is made = 96,000 + 28,000 = Rs. 1,24,000\nANSWER:C", "role": "assistant", "uuid": "22ccf314-94c1-4646-9c82-22310afa8879" } ]

{ "coherence": 3.04, "complexity": 1.73, "correctness": 2.8, "helpfulness": 2.9, "instruction-following": 3.89, "safety": 3.76, "verbosity": 1.6, "verbosity-coeff": -0.0922 }

[ { "content": "30 pens and 75 pencils were purchased for 450. 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": "56efc1af-9fc3-48f0-b64a-6edd73001bc4" }, { "content": "Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (450 – 150) = 300\n∴ Average price of a pen = 360⁄60 = 10\nAnswer A", "role": "assistant", "uuid": "d61769fc-483f-4837-9cce-1b7c02bb5cc1" } ]

{ "coherence": 2.8, "complexity": 1.35, "correctness": 2.2, "helpfulness": 2.21, "instruction-following": 3.04, "safety": 4.29, "verbosity": 1.21, "verbosity-coeff": -0.1153 }

[ { "content": "In some quantity of ghee, 60% is pure ghee and 40% is vanaspati. If 10 kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was :\n\n['A)10', 'B)27', 'C)87', 'D)23', 'E)93']", "role": "user", "uuid": "8b7ec9e3-24b4-4ba7-94e8-165ac8fd05aa" }, { "content": "Explanation:\nLet the original quantity be x kg. Vanaspati ghee in x kg = (40x / 100 )kg = (2x / 5) kg.\nNow, (2x/5)/(x + 10) = 20/100 <=> 2x / (5x + 50) = 1/5 <=> 5x = 50 <=> x = 10.\nAnswer: A) 10 kg", "role": "assistant", "uuid": "2822e82a-6c83-4056-8495-35e8fa48654a" } ]

{ "coherence": 3.35, "complexity": 2.29, "correctness": 2.62, "helpfulness": 2.88, "instruction-following": 3.41, "safety": 4.73, "verbosity": 0.95, "verbosity-coeff": -0.1239 }

[ { "content": "If an average hard drive had a capacity of 0.3 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?\n\n['A)3072', 'B)512', 'C)768', 'D)1024', 'E)1536']", "role": "user", "uuid": "085fd640-f3ea-4745-b89e-e2edef9c7a7d" }, { "content": "0.3*2^10=0.3*1024=307.2\nThe answer is A.", "role": "assistant", "uuid": "6c4c0114-ffde-4af7-a212-0e8958fb72a8" } ]

{ "coherence": 2.57, "complexity": 1.29, "correctness": 1.77, "helpfulness": 1.96, "instruction-following": 2.08, "safety": 5.09, "verbosity": 0.64, "verbosity-coeff": -0.111 }

[ { "content": "For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 54 units per day, what is the value of n ?\n\n['A)30', 'B)18', 'C)10', 'D)9', 'E)7']", "role": "user", "uuid": "52a986eb-5e27-4d97-ab88-1cd2227f6d34" }, { "content": "(average production for n days) * n = (total production for n days) --> 50n=(total production for n days);\n(total production for n days) + 90 = (average production for n+1 days) * (n+1) --> 50n + 90 = 54 * (n+1) --> n=9.\nOr as 40 extra units increased the average for n+1 days by 4 units per day then 40/(n+1)=4 --> n=9.\nAnswer D.", "role": "assistant", "uuid": "788f5d00-3924-42e1-8425-e7086e022814" } ]

{ "coherence": 2.64, "complexity": 0.85, "correctness": 2.02, "helpfulness": 2.14, "instruction-following": 3, "safety": 5.52, "verbosity": 0.53, "verbosity-coeff": -0.2273 }

[ { "content": "Look at this series: 7, 10, 8, 11, 9, 12, 10, 13, 11, 14, 12, ... What number should come next?\n\n['A)12', 'B)13', 'C)14', 'D)15', 'E)16']", "role": "user", "uuid": "bfd4f2b9-10db-4a62-9347-76f04795f98c" }, { "content": "This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.\nThe answer is D.", "role": "assistant", "uuid": "11b1df57-47c2-439a-a168-1503f98220b5" } ]

{ "coherence": 2.62, "complexity": 1.26, "correctness": 1.99, "helpfulness": 1.97, "instruction-following": 2.31, "safety": 5.01, "verbosity": 0.96, "verbosity-coeff": -0.1229 }

[ { "content": "If the number 992,132,24x is divisible by 11, what must be the value of x?\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)0']", "role": "user", "uuid": "1f1a0775-5ad5-40be-a140-b0f36fca3871" }, { "content": "Multiplication rule of 11: (Sum of digits at odd places - Sum of digits at even places) should be divisible by 11\nGiven number: 992,132,24x\nSum of digits at odd places = 9 + 2 + 3 + 2 + x = 16 + x (i)\nSum of digits at even places = 9 + 1 + 2 + 4 = 16 (ii)\n(i) - (ii) = 16 + x - 16 = x - 0\nHence x should be = 0 to make this a multiple of 11 (0) Option E", "role": "assistant", "uuid": "f49d6e28-13e5-4d3b-a7e1-6f337ffd9af3" } ]

{ "coherence": 3.04, "complexity": 2.41, "correctness": 2.66, "helpfulness": 2.74, "instruction-following": 3.07, "safety": 4.23, "verbosity": 1.25, "verbosity-coeff": -0.1272 }

[ { "content": "Two numbers are less than a third number by 30% and 37%. How much percent is the second number is less than the first?\n\n['A)10%', 'B)15%', 'C)20%', 'D)25%', 'E)30%']", "role": "user", "uuid": "1340a913-1d20-49e4-aea0-5ffdfdcb9a60" }, { "content": "Let the third number be x\nfirst number = 70% of x = 7x/10; second number = 63% of x = 63x/100;\nDifference = 7x/10 - 63x/100 = 7x/100; Required percentage = 7x/100 * 10/7x * 100 = 10%\nAnswer is A", "role": "assistant", "uuid": "4128fa76-912c-4112-9f2a-e3f1991e0dfc" } ]

{ "coherence": 3.15, "complexity": 2.06, "correctness": 2.86, "helpfulness": 2.78, "instruction-following": 3.45, "safety": 5.32, "verbosity": 1.39, "verbosity-coeff": -0.1414 }

[ { "content": "Find the arithmetic mean L of all roots of the following equation- see an attachment.\n\n['A)2', 'B)1', 'C)0.5', 'D)-1/3', 'E)0.3']", "role": "user", "uuid": "cf083007-99ba-4502-b0bc-fda080117d4d" }, { "content": "arithmetic mean L your answer C and E are same, can you correct one of them please. thanks.C", "role": "assistant", "uuid": "4aa8c9c5-696b-44b7-b93f-ce1eafb1ce92" } ]

{ "coherence": 2.2, "complexity": 0.79, "correctness": 1.14, "helpfulness": 0.84, "instruction-following": 0.59, "safety": 4.7, "verbosity": 0.24, "verbosity-coeff": -0.1128 }

[ { "content": "Which of these following integers is the square of an integer?\n\n['A)20821304103', 'B)20571304329', 'C)20467304228', 'D)20453304487', 'E)20814304592']", "role": "user", "uuid": "00ef6114-cfd0-487a-aa3c-5a2226aee105" }, { "content": "The unit digit of any perfect square can not be 2, 3, 7, or 8.\nThe answer is B.", "role": "assistant", "uuid": "307c4745-42d3-4b9c-aa2a-bf3b21d7c51c" } ]

{ "coherence": 2.49, "complexity": 1.58, "correctness": 1.56, "helpfulness": 1.65, "instruction-following": 1.41, "safety": 4.3, "verbosity": 0.77, "verbosity-coeff": -0.2176 }

[ { "content": "Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?\n\n['A)3/8', 'B)14/31', 'C)7/15', 'D)17/35', 'E)1/2']", "role": "user", "uuid": "822d76aa-4975-4974-8cf7-8b00711842dc" }, { "content": "The easiest way for me is to plug in numbers.\nLet the number of basic stereos produced be 40, and number of delux stereos produced be 20. Total of 60 stereos.\nIf it takes an hour to produce a basic stereo then it will take 1.2 hours to produce a deluxe stereo.\n40 basic stereos = 40 hours.\n20 delux stereos = 24 hours.\nTotal hours = 64.\nThen the fraction would be 24/64 = 3/8. Therefore answer A.", "role": "assistant", "uuid": "be1dd58b-e876-492a-ad79-dfd850f0c5b6" } ]

{ "coherence": 3.02, "complexity": 1.57, "correctness": 2.25, "helpfulness": 2.27, "instruction-following": 1.77, "safety": 5.87, "verbosity": 1.17, "verbosity-coeff": -0.2146 }

[ { "content": "On a game show, a contestant spins four different wheels; each wheel is numbered 1 to 3. What is the probability that the contestant will spin all tens?\n\n['A)87', 'B)28', 'C)1/81', 'D)693', 'E)8/27']", "role": "user", "uuid": "cce11239-d170-4169-8e0c-a3f2f4e79daa" }, { "content": "All 3s:\n1st wheel = 3 = 1/3\n2nd wheel = 3 = 1/3\n3rd wheel = 3 = 1/3\n4th wheel = 3 = 1/3\n(1/3)(1/3)(1/3)(1/3) = 1/81\nAnswer: C", "role": "assistant", "uuid": "0cf7027d-8c2d-4b10-99f2-744fea1a230c" } ]

{ "coherence": 2.31, "complexity": 1.79, "correctness": 1.95, "helpfulness": 2.08, "instruction-following": 3.15, "safety": 4.7, "verbosity": 1.49, "verbosity-coeff": -0.189 }

[ { "content": "John was 22 years old when he married Betty. They just celebrated their fifth wedding anniversary, and Betty's age is now 7/9 of John's. How old is Betty?\n\n['A)24', 'B)26', 'C)28', 'D)21', 'E)32']", "role": "user", "uuid": "b7e4f1dd-95bd-47b5-86e9-9aebb9944836" }, { "content": "Assume Betty's age on marriage = x years.\nJohn's age on marriage = 22\nJohn's age after 5 years = 27 years.\nBetty's age after 5 years = x + 5\nGiven: x + 5 = 7/9 (27) = 21\nTherefore Betty's current age = 21\nOption D", "role": "assistant", "uuid": "a4293ca2-d8e1-4356-b291-cdbe0bb91e91" } ]

{ "coherence": 2.96, "complexity": 1.25, "correctness": 2, "helpfulness": 2.43, "instruction-following": 2.62, "safety": 6.34, "verbosity": 0.6, "verbosity-coeff": -0.1678 }

[ { "content": "A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?\n\n['A)33', 'B)44', 'C)39', 'D)66', 'E)none of these']", "role": "user", "uuid": "ba04cddf-9121-4b5d-b010-c21e8d25eb20" }, { "content": "Let the average after 7th inning = x\nThen average after 16th inning = x - 3\ninline fn_jvn therefore 16(x-3)+87 = 17x\ninline fn_jvn therefore x = 87 - 48 = 39 Answer C", "role": "assistant", "uuid": "5d2ce827-a845-499b-8a96-bf6d1f5ae270" } ]

{ "coherence": 2.68, "complexity": 1.89, "correctness": 2.04, "helpfulness": 2.08, "instruction-following": 2.78, "safety": 4.54, "verbosity": 1.43, "verbosity-coeff": -0.1232 }

[ { "content": "power windows: 60%\nanti-lock brakes: 25%\nCD player: 50%\nThe table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?\n\n['A)25', 'B)18', 'C)11', 'D)13', 'E)0']", "role": "user", "uuid": "5c43817c-ed58-4224-816e-2e892e864d95" }, { "content": "Answer: D\nWere looking for the number of cars with a CD player but no other features. We know that 40% of the cars have a CD player, 15% have a CD player and anti-lock brakes, while 22% have a CD player and power windows. Since no car has all three features, those account for all of the possibilities except for what were looking for.\nIf a car has a CD player, it must either have anti-lock brakes, power windows, or no other features. Since the total of cars with a CD player is 50%, we can set up the following equation:\n50=15+22+x\nx=13, choiceD.", "role": "assistant", "uuid": "f622a226-0914-4b03-8a39-d1c71651252f" } ]

{ "coherence": 3.27, "complexity": 1.86, "correctness": 2.76, "helpfulness": 2.8, "instruction-following": 3.17, "safety": 5.36, "verbosity": 1.35, "verbosity-coeff": -0.1526 }

[ { "content": "The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)\n\n['A)p-1', 'B)p-2', 'C)(p+1)/2', 'D)(p-1)/2', 'E)2']", "role": "user", "uuid": "42bd7cbe-cf0b-48be-af77-a526c6a8773c" }, { "content": "The confusing moment in this question is its wording. Basically question is: how many positive integers are less than given prime number p which has no common factor with p except 1.\nWell as p is a prime, all positive numbers less than p have no common factors with p (except common factor 1). So there would be p-1 such numbers (as we are looking number of integers less than p).\nIf we consider p=7 how many numbers are less than 7 having no common factors with 7: 1, 2, 3, 4, 5, 6 --> 7-2=5.\nAnswer: B.", "role": "assistant", "uuid": "0bf6b26c-b937-41b3-9814-53c7255f2ae5" } ]

{ "coherence": 2.68, "complexity": 1.72, "correctness": 2.27, "helpfulness": 2.12, "instruction-following": 2.27, "safety": 5.05, "verbosity": 1.53, "verbosity-coeff": -0.1534 }

[ { "content": "A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 2000. The difference between the profit shares of A and C is?\n\n['A)621', 'B)276', 'C)236', 'D)800', 'E)211']", "role": "user", "uuid": "e4746a91-d0ce-4958-8264-20000efb4b16" }, { "content": "Explanation:\nRatio of investments of A, B and C is 8000 : 10000 : 12000 = 4 : 5 : 6\nAnd also given that, profit share of B is Rs. 2000\n=> 5 parts out of 15 parts is Rs. 2000\nNow, required difference is 6 - 4 = 2 parts\nRequired difference = 2/5 (2000) = Rs. 800\nAnswer: D", "role": "assistant", "uuid": "5cf48048-0f23-4379-ba88-2d3cd8def618" } ]

{ "coherence": 2.92, "complexity": 1.25, "correctness": 2.64, "helpfulness": 2.98, "instruction-following": 3.46, "safety": 5.55, "verbosity": 0.72, "verbosity-coeff": -0.1203 }