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[ { "content": "36 men can complete a piece of work in 18 days. In how many days will 9 men complete the same work ?\n\n['A)24', 'B)77', 'C)88', 'D)72', 'E)21']", "role": "user", "uuid": "416218a4-9208-4886-a57d-aa0e2c78d604" }, { "content": "Explanation:\nLess Men, means more Days {Indirect Proportion}\nLet the number of days be x\nthen,\n9 : 36 :: 18 : x\nx = 72\nAnswer: D) 72 days", "role": "assistant", "uuid": "41e17ac0-aad8-46c6-a75c-b1a8426c5b65" } ]

{ "coherence": 3.19, "complexity": 1.06, "correctness": 2.68, "helpfulness": 3.02, "instruction-following": 3.56, "safety": 5.05, "verbosity": 0.71, "verbosity-coeff": -0.1153 }

[ { "content": "What is the smallest five digit number that is divisible by 16, 36, 45, and 54?\n\n['A)10200', 'B)10400', 'C)10600', 'D)10800', 'E)11200']", "role": "user", "uuid": "5638478c-6e50-4b1f-b342-bdfeebe21838" }, { "content": "16 = 2^4\n36 = 2^2 * 3^2\n45 = 3^2 * 5\n54 = 2 * 3^3\nLCM = 2^4 * 3^3 * 5 = 2160\nThe smallest five-digit number that is a multiple of 2160 is 5*2160 = 10,800\nThe answer is D.", "role": "assistant", "uuid": "43e27628-6d44-4110-bb13-4baee4448742" } ]

{ "coherence": 3.21, "complexity": 2.18, "correctness": 3.05, "helpfulness": 3.05, "instruction-following": 3.39, "safety": 4.93, "verbosity": 0.98, "verbosity-coeff": -0.2392 }

[ { "content": "A palindrome is a number that reads the same forward and backward, such as 242. How many odd three-digit numbers are palindromes?\n\n['A)40', 'B)400', 'C)50', 'D)5,000', 'E)100,000']", "role": "user", "uuid": "ab61f5b7-eb44-45de-8d60-c25b2da57f90" }, { "content": "3rd digit 1,3,5,7,9\n2nd digit 0 through 9\ni.e 10*5 = 50 numbers\nfirst digit is going to be same as 3rd . so it would still be 50 numbers.\nAnswer is C.", "role": "assistant", "uuid": "cda7b0e5-dbff-46cf-878b-20a93a2a90de" } ]

{ "coherence": 2.43, "complexity": 1.68, "correctness": 1.81, "helpfulness": 1.91, "instruction-following": 2.74, "safety": 5.52, "verbosity": 1.09, "verbosity-coeff": -0.2183 }

[ { "content": "Complete the below series\n5,6,7,8,10,11,14, ?\n\n['A)12', 'B)13', 'C)14', 'D)15', 'E)16']", "role": "user", "uuid": "20928e17-8653-458d-979b-0a99bdc5dbc0" }, { "content": "when we separate odd and even places the we get\n5,7,10,14 and 6,8,11\ndifference between the first series is\n2,3,4\ndifference between the second series is\n2,3 so next number should be addition of 4 ie( 11+4=15)\nthe answer is 15\nANSWER:D", "role": "assistant", "uuid": "2d2056bb-f318-4bc5-b934-e974cba2c904" } ]

{ "coherence": 2.49, "complexity": 1.66, "correctness": 2.47, "helpfulness": 2.55, "instruction-following": 2.9, "safety": 4.93, "verbosity": 1.79, "verbosity-coeff": -0.0874 }

[ { "content": "The sum of the non-prime numbers between 10 and 20, non-inclusive, is\n\n['A)60', 'B)75', 'C)90', 'D)105', 'E)120']", "role": "user", "uuid": "b875346a-476c-43c2-a181-35ba90558d9a" }, { "content": "sum of consecutive integers from 11 to 19, inclusive ====> (A1 + An)/2 * # of terms = (11 + 19)/2 * 9 = 15 *9 = 135\nsum of non-prime numbers b/w 10 and 20, non inclusive ===> 135 - 60 (i.e., 11 + 13 + 17 + 19, being the prime #s in the range) = 75\nAnswer: B", "role": "assistant", "uuid": "f33a68a3-9440-47c1-af7c-ca906477d43b" } ]

{ "coherence": 2.43, "complexity": 1.7, "correctness": 1.95, "helpfulness": 2.14, "instruction-following": 2.68, "safety": 4.73, "verbosity": 1.55, "verbosity-coeff": -0.1433 }

[ { "content": "If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?\n\n['A)2', 'B)8', 'C)6', 'D)4', 'E)2']", "role": "user", "uuid": "7847b61c-6ea1-41d2-a061-90658008b80c" }, { "content": "96% ---- 12\n144% ---- ?\n96/144 * 12 = 8\nAnswer: B", "role": "assistant", "uuid": "b1e06d9d-8ff2-420b-a094-e9eaac09d4d2" } ]

{ "coherence": 2.94, "complexity": 1.31, "correctness": 2.62, "helpfulness": 2.84, "instruction-following": 3.04, "safety": 6.61, "verbosity": 0.65, "verbosity-coeff": -0.13 }

[ { "content": "Billy's farm is in the shape of a rectangle. It's width is 45 yards less than its length. The area of the farm is 11,704 square yards. What is the perimeter of the farm?\n\n['A)88 yards', 'B)133 yards', 'C)260 yards', 'D)442 yards', 'E)None of the above']", "role": "user", "uuid": "e451c130-88e1-4827-bd85-c2615177b605" }, { "content": "l-w=45\nlxw=11,704\nSolving the 2 equations, you get l=133 yards and w=88 yards\nSo 2(l+w)= 442 yards\nCorrect answer: D", "role": "assistant", "uuid": "d62afd60-2990-4d12-8985-b85ea5fbe3af" } ]

{ "coherence": 3.11, "complexity": 1.33, "correctness": 2.33, "helpfulness": 2.45, "instruction-following": 3.23, "safety": 5.16, "verbosity": 0.72, "verbosity-coeff": -0.1222 }

[ { "content": "All but one of the following statements are definitely true, identify the false statement, given that V is the brother of W and X. Y is V's son and Z is W's son?\n\n[\"A)V is Z's uncle\", \"B)W is Y's uncle\", \"C)X is Y's uncle\", \"D)X is Y's brother\", \"E)Y is Z's nephew\"]", "role": "user", "uuid": "604a7b80-27c2-4a68-bfce-c8a3d125a05d" }, { "content": "Explanation:\nAll the statements are true except D (X is Y's brother), Y is V's son that makes X his uncle, not brother.\nAnswer: D)", "role": "assistant", "uuid": "474b314b-bc3b-4586-be43-7c591acfa8cb" } ]

{ "coherence": 3.41, "complexity": 1.8, "correctness": 2.74, "helpfulness": 2.72, "instruction-following": 3.13, "safety": 4.3, "verbosity": 0.84, "verbosity-coeff": -0.1124 }

[ { "content": "If (x/y)=(10/5), find the value (x^2+y^2)/(x^2-y^2)\n\n['A)5/3', 'B)59/11', 'C)51/77', 'D)41/11', 'E)None of them']", "role": "user", "uuid": "60cf492f-5ed7-4263-8115-958538b6a1d2" }, { "content": "= (x^2+y^2)/(x^2-y^2) = ( x^2 /y^2+ 1)/ ( x^2 /y^2-1) = [(10/5)^2+1] / [(10/5)^2-1]\n= [(100/25)+1] / [(100/25)-1] = 5/3\nAnswer is A.", "role": "assistant", "uuid": "e9ce4cfe-35c7-4af5-abb2-509ecbb0a31a" } ]

{ "coherence": 2.98, "complexity": 2.29, "correctness": 2.37, "helpfulness": 2.47, "instruction-following": 2.96, "safety": 4.29, "verbosity": 1.47, "verbosity-coeff": -0.1684 }

[ { "content": "If a light flashes every 30 seconds, how many times will it flash in 1/2 of an hour?\n\n['A)30', 'B)42', 'C)61', 'D)59', 'E)45']", "role": "user", "uuid": "dc517dc7-acef-4fbd-98e2-92e20f621e2d" }, { "content": "There are 60 minutes in an hour.\nIn 1/2 of an hour there are (60 * 1/2) minutes = 30minutes.\nIn 1/2 of an hour there are (60 * 30) seconds = 1800 seconds.\nLight flashed for every 30 seconds.\nIn 1800 seconds 1800/30 = 60 times.\nThe count start after the first flash, the light will flashes 61 times in 1/2 of an hour.\nAnswer:C", "role": "assistant", "uuid": "ce9ad6e0-39e9-4aac-844d-ddf28f4903a2" } ]

{ "coherence": 2.55, "complexity": 1.36, "correctness": 1.93, "helpfulness": 2.08, "instruction-following": 1.88, "safety": 5.52, "verbosity": 1.48, "verbosity-coeff": -0.1152 }

[ { "content": "In how many ways 2 boys and 2 girls can be seated in a row so that boys and girls are alternate?\n\n['A)7', 'B)8', 'C)9', 'D)10', 'E)11']", "role": "user", "uuid": "5acbdb45-36c4-4e26-ba1c-31d56983db3e" }, { "content": "number of ways = 2*2!*2! = 8\nAnswer is B", "role": "assistant", "uuid": "1d9bf924-fd30-414c-a69e-5c7a217fc559" } ]

{ "coherence": 2.74, "complexity": 1.22, "correctness": 2.29, "helpfulness": 2.47, "instruction-following": 3.02, "safety": 5.24, "verbosity": 0.76, "verbosity-coeff": -0.1776 }

[ { "content": "A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?\n\n['A)27 seconds', 'B)33 seconds', 'C)40 seconds', 'D)11 seconds', 'E)12 seconds']", "role": "user", "uuid": "bbacfc76-de60-48f6-bd0b-83667ce5be1c" }, { "content": "Speed = 54 Km/hr = 54*(5/18) m/sec = 15 m/sec\nTotal distance = 360+140 = 500 meter\nTime = Distance/speed\n= 500 * (1/15) = 33 seconds\nAnswer:B", "role": "assistant", "uuid": "3ee41d41-8754-4dc0-856d-8e75b17288ce" } ]

{ "coherence": 2.88, "complexity": 1.33, "correctness": 2.64, "helpfulness": 2.8, "instruction-following": 4.01, "safety": 6.34, "verbosity": 1.46, "verbosity-coeff": -0.1193 }

[ { "content": "An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for Rs. 2. What is his percentage profit or loss?\n\n['A)10% loss', 'B)11.11% loss', 'C)3% loss', 'D)2.5 % profit', 'E)None of These']", "role": "user", "uuid": "621fa532-3d35-4533-885e-de93cc326748" }, { "content": "Solution: CP of one egg in first case = 1/3 = 33.33 paise\nCP of one egg in second case = 1/6 = 16.66 paise\nAverage CP = (33.33 +16.66)/2 = 25 paise\nSelling price of 9 eggs = Rs. 2\nSP of one egg = 200/9\nProfit or loss = [(25 - (200/9))*100]/25\nProfit or loss = -11.11. (loss)\nAnswer: Option B", "role": "assistant", "uuid": "c6b93294-e2b7-48ac-a7a9-a2d2d8406cce" } ]

{ "coherence": 2.8, "complexity": 1.51, "correctness": 2.39, "helpfulness": 2.74, "instruction-following": 2.98, "safety": 4.46, "verbosity": 1.2, "verbosity-coeff": -0.1247 }

[ { "content": "A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 20 miles per gallon, and from Town B to Town C, the car averaged 24 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C?\n\n['A)40', 'B)30', 'C)42', 'D)33', 'E)35']", "role": "user", "uuid": "b98aaeb5-16a2-4608-9dfa-6c9e7e9869c3" }, { "content": "step 1) took LCM of 20 and 24.. came as 120.\nstep 2) 120 distance between B to C... do 120/24 hence 5 gallons used\nstep 3) twice distance.. hence 120*2= 240... do as above.. 240/20= 7 gallons used\nstep 4) total gallons.. 5+7= 12 gallons\nstep ) total miles= 120+240= 360 miles\nhence.. average of whole journey = 360/12 which comes to 30\nAnswer : B", "role": "assistant", "uuid": "a7faa51e-ea07-4ece-80f3-ef54e451648a" } ]

{ "coherence": 2.45, "complexity": 0.88, "correctness": 1.91, "helpfulness": 2.12, "instruction-following": 2.72, "safety": 5.4, "verbosity": 0.73, "verbosity-coeff": -0.1967 }

[ { "content": "If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?\n\n['A) 27/4', 'B) 27/8', 'C) 3/4', 'D) 3/16', 'E) 1/4']", "role": "user", "uuid": "c95aa1ee-3914-406a-8f58-131a8ba9bcba" }, { "content": "Say a = 2. Then:\na/b = 1/3 --> b = 6;\nb/c = 2 --> c = 3;\nc/d = 1/2 --> d = 6;\nd/e = 3 --> e = 2;\ne/f = 1/8 --> f = 16.\nabc/def = (2*6*3)/(6*2*16) = 3/16.\nAnswer: D.", "role": "assistant", "uuid": "d6814e9e-625f-4428-bb78-73c73729d042" } ]

{ "coherence": 3.11, "complexity": 1.49, "correctness": 2.61, "helpfulness": 2.66, "instruction-following": 3.21, "safety": 4.54, "verbosity": 0.51, "verbosity-coeff": -0.1123 }

[ { "content": "Suraj has a certain average of runs for 8 innings. In the 9th innings he scores 90 runs thereby increasing his average by 6 runs. What is his average after the 9th innings?\n\n['A)42', 'B)64', 'C)36', 'D)72', 'E)27']", "role": "user", "uuid": "40842a4c-711b-4b87-bdd2-c3eee0f99bb9" }, { "content": "To improve his average by 6 runs per innings he has to contribute 8 x 6 = 48 runs for the previous 8 innings.\nThus, the average after the 9th innings\n= 90 - 48 = 42.\nANSWER:A", "role": "assistant", "uuid": "0ee25e54-ebf4-40e8-960d-95c046679ef9" } ]

{ "coherence": 2.51, "complexity": 1.79, "correctness": 1.95, "helpfulness": 2.12, "instruction-following": 2.62, "safety": 4.89, "verbosity": 1.41, "verbosity-coeff": -0.1246 }

[ { "content": "What is the number of integers from 1 to 100 (inclusive) that are divisible by neither 5 nor by 6?\n\n['A)35', 'B)47', 'C)58', 'D)26', 'E)34']", "role": "user", "uuid": "85cce343-54d5-4565-9ae9-47d152e19ddf" }, { "content": "In 100 consecutive numbers, number of multiples of 5 = 100/5 = 20 (Ignore decimals)\nIn 100 consecutive numbers, number of multiples of 6 = 100/6 = 16\nNumber of multiples of 5*6 i.e. 30 = 100/30 = 3\nNumber of integers from 1 to 100 that are divisible by neither 5 nor by 6 = 100 - (29 + 16 - 3) {Using the concept of sets here) = 58\nAnswer is C", "role": "assistant", "uuid": "c5775b58-3636-462d-ad25-b97c0f6068cd" } ]

{ "coherence": 2.55, "complexity": 2, "correctness": 2.29, "helpfulness": 2.25, "instruction-following": 2.51, "safety": 5.36, "verbosity": 1.56, "verbosity-coeff": -0.2425 }

[ { "content": "An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600 and 800km/hr. Find the average speed of the plane around the field?\n\n['A)384', 'B)562', 'C)458', 'D)156', 'E)452']", "role": "user", "uuid": "c14c7e05-c046-474f-81c7-48938547e974" }, { "content": "Let the each side of the square is x km\naverage speed of plane is y km/hr\n(x/200)+(x/400)+(x/600)+(x/800) = 4x/y\n25x/2400 = 4x/y\ny= 384 km/hr\nAnswer is A", "role": "assistant", "uuid": "dfeb9bf2-170f-4b8f-b44e-a722407cd373" } ]

{ "coherence": 3.13, "complexity": 1.93, "correctness": 2.61, "helpfulness": 2.66, "instruction-following": 2.98, "safety": 5.28, "verbosity": 1.15, "verbosity-coeff": -0.1173 }

[ { "content": "Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?\n\n['A)5/7', 'B)9/6', 'C)5/9', 'D)5/6', 'E)3/6']", "role": "user", "uuid": "647c9159-1eb0-4414-9a23-b3a75162d026" }, { "content": "Explanation:\nP(at least one graduate) = 1 - P(no graduates) =\n1 - ⁶C₃/¹⁰C₃ = 1 - (6 * 5 * 4)/(10 * 9 * 8) = 5/6\nAnswer: Option D", "role": "assistant", "uuid": "78d6528b-baab-41eb-b6c5-ae5f9f7a156d" } ]

{ "coherence": 2.61, "complexity": 2.21, "correctness": 2.47, "helpfulness": 2.66, "instruction-following": 3.58, "safety": 4.77, "verbosity": 1.53, "verbosity-coeff": -0.1571 }

[ { "content": "What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x\n\n['A)3707', 'B)3790', 'C)3910', 'D)3907', 'E)3970']", "role": "user", "uuid": "0f925fd2-d5f3-40c8-9a7d-0ecc2e606179" }, { "content": "2\r2 x 5 - 3 = 7\r7 x 5 - 3 = 32\r32 x 5 - 3 = 157\r157 x 5 - 3 = 782\r782 x 5 - 3 = 3907\rD", "role": "assistant", "uuid": "f86fee86-ba26-4c76-a8ff-f8a7b6b33e66" } ]

{ "coherence": 1.93, "complexity": 0.99, "correctness": 1.15, "helpfulness": 1.52, "instruction-following": 2.45, "safety": 4.93, "verbosity": 0.35, "verbosity-coeff": -0.1042 }

[ { "content": "60% of a number is added to 120, the result is the same number. Find the number?\n\n['A)300', 'B)388', 'C)776', 'D)2991', 'E)212']", "role": "user", "uuid": "8098aedb-c6f6-4f45-aa0c-1a179b1e4b05" }, { "content": "(60/100) * X + 120 = X\n2X = 600\nX = 300\nAnswer: A", "role": "assistant", "uuid": "c39ffbbc-7ee5-4af3-ac12-c9c6ad887052" } ]

{ "coherence": 2.9, "complexity": 1.46, "correctness": 2.37, "helpfulness": 2.53, "instruction-following": 2.98, "safety": 4.73, "verbosity": 0.34, "verbosity-coeff": -0.1168 }

[ { "content": "The population of a bacteria colony doubles every day. If it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?\n\n['A)512', 'B)768', 'C)1024', 'D)2048', 'E)4096']", "role": "user", "uuid": "d8d9a692-6e8a-4d34-b689-921226aca9ae" }, { "content": "2^11(2) = 2^12 = 4096\nThe answer is E.", "role": "assistant", "uuid": "9ed48cd7-3034-481f-9f1d-2befa365235e" } ]

{ "coherence": 2.76, "complexity": 1.15, "correctness": 2.25, "helpfulness": 2.47, "instruction-following": 2.35, "safety": 4.77, "verbosity": 0.35, "verbosity-coeff": -0.1195 }

[ { "content": "For what value of x between − 9 and 9, inclusive, is the value of x^2 − 10x + 16 the greatest?\n\n['A)− 9', 'B)− 2', 'C)0', 'D)2', 'E)9']", "role": "user", "uuid": "3e6a8cd6-66de-4fdb-8c3c-c43abf6a00be" }, { "content": "we can see from the statement that two terms containing x, x^2 will always be positive and -10x will be positive if x is -ive..\nso the equation will have greatest value if x is -ive, and lower the value of x, greater is the equation.\nso -9 will give the greatest value..\nans A", "role": "assistant", "uuid": "dd829678-2f50-4375-ba76-f5f15deffb40" } ]

{ "coherence": 2.29, "complexity": 1.43, "correctness": 1.63, "helpfulness": 1.56, "instruction-following": 1.47, "safety": 4.3, "verbosity": 1.35, "verbosity-coeff": -0.2091 }

[ { "content": "Selling an kite for Rs. 30, a shop keeper gains 35%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is?\n\n['A)8%', 'B)10%', 'C)11%', 'D)15%', 'E)21.5%']", "role": "user", "uuid": "0cf444bb-6e8a-4e27-8cb2-8c04f7a5ff28" }, { "content": "Explanation:\nMarked price = Rs. 30\nC.P. = 100/135 * 30 = Rs. 22.22\nSale price = 90% of Rs. 30 = Rs. 27\nRequired gain % = 4.77/22.22 * 100 =21.5%.\nAnswer: E", "role": "assistant", "uuid": "4181e871-a838-4fcc-8c69-398a3d8179d3" } ]

{ "coherence": 2.74, "complexity": 1.62, "correctness": 2.18, "helpfulness": 2.43, "instruction-following": 3.54, "safety": 6.1, "verbosity": 1.41, "verbosity-coeff": -0.1209 }

[ { "content": "The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle?\n\n['A)300 square meters', 'B)400 square meters', 'C)500 square meters', 'D)600 square meters', 'E)700 square meters']", "role": "user", "uuid": "bf0b9aee-58f2-4a43-8f49-e5a855b57ab8" }, { "content": "If L and W be the original length and width of the rectangle and its area is given by\nL ? W\nAfter increase the length becomes 2 L and the width becomes 3 W. The area is then given by (2 L) ? (3 W) and is known. Hence\n(2 L) ? (3 W) = 1800\nSolve the above equation to find L ? W\n6 L ? W = 1800\nL ? W = 1800 / 6 = 300 square meters , area of original rectangle\ncorrect answer A", "role": "assistant", "uuid": "d73aa03c-0fa3-4857-a65e-b03f229459fd" } ]

{ "coherence": 2.61, "complexity": 1.63, "correctness": 2.08, "helpfulness": 2.23, "instruction-following": 3.46, "safety": 4.58, "verbosity": 1.15, "verbosity-coeff": -0.1971 }

[ { "content": "There has been successive increases of 25% and then 15% in the price of gas from the previous month. By what percentage should a driver reduce gas consumption so that the expenditure does not change?\n\n['A)30%', 'B)50%', 'C)66.66%', 'D)15%', 'E)75%']", "role": "user", "uuid": "e858ad8c-3301-4642-91db-18045c36c3af" }, { "content": "Let P be the original price per unit of gas.\nLet x be the original gas consumption.\nLet y be the reduced gas consumption.\ny*1.15*1.25*P = x*P\ny = x / (1.15*1.25) which is about 0.7x which is a decrease of about 30%.\nThe answer is A.", "role": "assistant", "uuid": "64811e34-abc5-4a72-85c1-5d714b173b2d" } ]

{ "coherence": 3.11, "complexity": 2.14, "correctness": 2.7, "helpfulness": 2.64, "instruction-following": 3.45, "safety": 4.54, "verbosity": 1.2, "verbosity-coeff": -0.125 }

[ { "content": "X and Y invest Rs.22500 and Rs.17500 respectively in a business. At the end of the year, they make a profit of Rs.26400. What is the share of X in the profit?\n\n['A)Rs.14850', 'B)Rs.26400', 'C)Rs.12000', 'D)Rs.12500', 'E)Rs.13500']", "role": "user", "uuid": "df8daf4f-64af-4063-b6fb-aec74791b0d5" }, { "content": "Ratio of the investment=22500:17500=9:7\nShare of X in the profit=(26400×9)/16=\n=14850\nANSWER:A", "role": "assistant", "uuid": "3c808192-1cba-41f1-905a-364f0890640c" } ]

{ "coherence": 3.17, "complexity": 1.33, "correctness": 2.53, "helpfulness": 2.7, "instruction-following": 4.01, "safety": 4.7, "verbosity": 1.11, "verbosity-coeff": -0.115 }

[ { "content": "A train running at the speed of 60 km/hr crosses a pole in 18 seconds. Find the length of the train?\n\n['A)150 meter', 'B)170 meter', 'C)156 meter', 'D)300 meter', 'E)154 meter']", "role": "user", "uuid": "8b3c0cfe-52b9-4028-a15a-ceca86c3dfc2" }, { "content": "Speed = 60*(5/18) m/sec\n= 50/3 m/sec\nLength of Train (Distance)\n= Speed * Time\n(50/3) * 18\n= 300 meter\nAnswer:D", "role": "assistant", "uuid": "b3d339a8-55c0-4e9e-bffe-d84205e1b379" } ]

{ "coherence": 2.98, "complexity": 1.41, "correctness": 2.86, "helpfulness": 2.78, "instruction-following": 3.8, "safety": 4.85, "verbosity": 1.22, "verbosity-coeff": -0.116 }

[ { "content": "Raman,Lakshmi and Muthu enter into partnership. Raman invests some money at the beginning, Lakshmi invests double the amount after 6 months, and Muthu invests thrice the amount after 8 months. If the annual gain be Rs.36000. Lakshmi's share is?\n\n['A)12000', 'B)14000', 'C)8000', 'D)5000', 'E)3000']", "role": "user", "uuid": "03db211d-8662-4aec-8540-33aa7880b4af" }, { "content": "x* 12 : 2x* 6: 3x* 4\n1:1:1\n1/3 * 36000 = 12000\nAnswer: A", "role": "assistant", "uuid": "e280ad9d-f90e-4998-9fac-2ade3887ef76" } ]

{ "coherence": 3.25, "complexity": 0.98, "correctness": 2.88, "helpfulness": 3.04, "instruction-following": 3.23, "safety": 4.89, "verbosity": 0.52, "verbosity-coeff": -0.1021 }

[ { "content": "The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 30% profit?\n\n['A)$480', 'B)$450', 'C)$960', 'D)$832', 'E)$660']", "role": "user", "uuid": "18e16481-4e42-44e2-93f4-c40dd03546e3" }, { "content": "Let C.P. = $ x.\nThen, 832 - x = x - 448\n2x = 1280 => x = 640\nRequired S.P. = 130% of $ 640 = $ 832.\nD", "role": "assistant", "uuid": "5e3f871c-3b24-42eb-ba18-bc608a78b5ac" } ]

{ "coherence": 2.76, "complexity": 1.4, "correctness": 2.35, "helpfulness": 2.47, "instruction-following": 3.04, "safety": 6.14, "verbosity": 1.02, "verbosity-coeff": -0.1529 }

[ { "content": "A and B can do a piece of work in 2 days and 6 days respectively. Both work for 1 days and then A goes away. Find how long will B take to complete the remaining work?\n\n['A)1 days', 'B)2 days', 'C)3 days', 'D)4 days', 'E)5 days']", "role": "user", "uuid": "7cac822b-a848-48da-b48d-cd53545c1b28" }, { "content": "1/2 + (1 + x)/6 = 1\nx = 2 days\nANSWER:B", "role": "assistant", "uuid": "ee707aff-d9b3-46fc-808f-93cf2a8153ad" } ]

{ "coherence": 2.78, "complexity": 1.29, "correctness": 2.51, "helpfulness": 2.57, "instruction-following": 3.19, "safety": 5.55, "verbosity": 0.89, "verbosity-coeff": -0.113 }

[ { "content": "A train 130 meters long completely crosses a 320-meter long bridge in 30 seconds. What is the speed of the train in km/h?\n\n['A)42 km/h', 'B)46 km/h', 'C)50 km/h', 'D)54 km/h', 'E)58 km/h']", "role": "user", "uuid": "5c89e6bd-8476-436b-a1e3-f2e4be25d902" }, { "content": "speed = distance / time = (130 + 320)/30 = 450/30 (m/s) * 3600/1000 = 54 km/h\nThe answer is D.", "role": "assistant", "uuid": "d1a7472d-665d-44e6-8f30-fd11b8454c33" } ]

{ "coherence": 3.11, "complexity": 1.56, "correctness": 2.62, "helpfulness": 2.76, "instruction-following": 3.21, "safety": 5.2, "verbosity": 1.06, "verbosity-coeff": -0.1409 }

[ { "content": "The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?\n\n['A)28882', 'B)27772', 'C)23123', 'D)Rs.13500', 'E)28811']", "role": "user", "uuid": "b2ef655b-cd04-432c-a1c9-ddac195f45ef" }, { "content": "P = (184*106) / [6 2/3 * 6 2/3 *(300*6 2/3)]\nP = 13500\nAnswer: D", "role": "assistant", "uuid": "b9276e1a-ccd2-4ce9-9d93-182280e4792b" } ]

{ "coherence": 2.64, "complexity": 0.99, "correctness": 1.76, "helpfulness": 2, "instruction-following": 3, "safety": 5.48, "verbosity": 0.37, "verbosity-coeff": -0.108 }

[ { "content": "The sum of ages of 5 children born at the intervals of 3 years each is\n50 years. Find out the age of the youngest child?\n\n['A)6 years', 'B)5 years', 'C)4 years', 'D)3 years', 'E)2 years']", "role": "user", "uuid": "f267bd6b-59eb-486d-94a5-d94447f13477" }, { "content": "let the age of young child is = x\nthen age of 5 children can be written as x,(x+3),(x+6),(x+9) and (x+12)\nx+(x+3)+(x+6)+(x+9)+(x+12)=50\n5x+30 = 50 -> x =4\nANSWER C", "role": "assistant", "uuid": "2527301c-6906-41f0-a9d5-d46a569c8159" } ]

{ "coherence": 2.92, "complexity": 1.73, "correctness": 2.49, "helpfulness": 2.57, "instruction-following": 3.74, "safety": 4.81, "verbosity": 1.36, "verbosity-coeff": -0.1195 }

[ { "content": "If f(x) = 12 - x^2/2 and f(2k) = 5k, what is one possible value for k?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)8']", "role": "user", "uuid": "5c5ac799-99f5-4680-bdd0-75262eeb52f6" }, { "content": "First of all, see thisGMAT blog postand check the related lesson linked below for some background on function notation.\nWe can plug anything in for x and get a result. You can find f(1), for example, by plugging in 1 where x is, and you would get 12 - 1/2 = 11.5. Or we could find f(2), which would be 12 - 4/2 = 10.\nSo the notation f(2k) means that we are going to plug a 2k in for x everywhere in the formula for f(x). That would be:\nf(2k) = 12 - (2k)^2/2 = 12 - 2k^2.\nRemember that we have to square both the 2 and the k, to get 4k2. Now, this expression, the output, we will set equal to 2k.\n12 - 2k^2 = 2k --> k = -3 or k =5.\nAll the answers are positive, so we choose k = 5.\nAnswer =D", "role": "assistant", "uuid": "735c1b24-c87a-4b06-a4c8-d83dfaf1bd43" } ]

{ "coherence": 2.33, "complexity": 1.79, "correctness": 1.56, "helpfulness": 1.52, "instruction-following": 2.08, "safety": 6.14, "verbosity": 1.34, "verbosity-coeff": -0.2095 }

[ { "content": "A man has Rs. 240 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?\n\n['A)45', 'B)60', 'C)75', 'D)90', 'E)105']", "role": "user", "uuid": "5c1c81ee-133a-47d3-b092-8b646b171615" }, { "content": "Answer : A\nLet number of notes of each denomination be x.\nThen, x + 5x + 10x = 240\n16x = 240\nx = 15.\nHence, total number of notes = 3x = 45.", "role": "assistant", "uuid": "05d64385-d0e1-43a1-9066-7c3ef6bc6119" } ]

{ "coherence": 3.48, "complexity": 1.55, "correctness": 3.19, "helpfulness": 3.41, "instruction-following": 3.74, "safety": 5.05, "verbosity": 0.51, "verbosity-coeff": -0.1349 }

[ { "content": "A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?\n\n['A)88%', 'B)50%', 'C)87%', 'D)66%', 'E)54%']", "role": "user", "uuid": "2f4e294b-9ee5-42d3-ada3-c379176a80ab" }, { "content": "L.C.M of 15 and 12 = 60\nCP of 60 articles = Rs. 100 (25 * 4)\nSP of 60 articles = Rs. 150 (30 * 5)\nProfit percentage = (150 - 100)/100 * 100 = 50%\nAnswer: B", "role": "assistant", "uuid": "23dbaef5-1783-4bd7-959f-f8f92fc074ac" } ]

{ "coherence": 3.09, "complexity": 1.92, "correctness": 2.29, "helpfulness": 2.55, "instruction-following": 2.45, "safety": 4.93, "verbosity": 1.08, "verbosity-coeff": -0.1413 }

[ { "content": "Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\n\n['A)1323', 'B)9261', 'C)2788', 'D)2999', 'E)1722']", "role": "user", "uuid": "97ae2cd9-b679-49ee-a7d6-6997c653a1a5" }, { "content": "A = 8000(21/20)3 = 9261\nAnswer:B", "role": "assistant", "uuid": "6784b935-ed0a-4023-aa16-9b6421984a9b" } ]

{ "coherence": 3.09, "complexity": 1.44, "correctness": 2.72, "helpfulness": 2.88, "instruction-following": 4.03, "safety": 5.32, "verbosity": 0.94, "verbosity-coeff": -0.1044 }

[ { "content": "In 10 years, A will be twice as old5as B was 10 years ago. If A is now 9 years older than B, the present age of B is\n\n['A)16 years', 'B)88 years', 'C)39 years', 'D)66 years', 'E)77 years']", "role": "user", "uuid": "9d302984-0dc4-4d7c-af31-75e3fb114ea4" }, { "content": "Let B's age = x years.\nThen, As age = (x+ 9) years.\n(x+9+10)=2(x—10)\nhence x=39.\nPresent age of B = 39 years\nAnswer: C", "role": "assistant", "uuid": "34f8b38c-f4de-4868-985b-37cc3495362c" } ]

{ "coherence": 3.04, "complexity": 1.64, "correctness": 2.53, "helpfulness": 2.59, "instruction-following": 3.8, "safety": 4.73, "verbosity": 0.59, "verbosity-coeff": -0.1226 }

[ { "content": "Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder\n\n['A)1234', 'B)1345', 'C)1450', 'D)1550', 'E)1635']", "role": "user", "uuid": "ff8abb1b-9134-41b0-8bd3-928a07762845" }, { "content": "Let the smaller number be x. Then larger number = (x + 1365).\nx + 1365 = 6x + 15\n5x = 1350\nx = 270\nLarge number = 270+1365 = 1635\nE", "role": "assistant", "uuid": "12679c9d-9ca8-45fe-9b27-8db3c4a01d72" } ]

{ "coherence": 3.07, "complexity": 1.86, "correctness": 2.62, "helpfulness": 2.64, "instruction-following": 3.54, "safety": 3.72, "verbosity": 1.32, "verbosity-coeff": -0.1105 }

[ { "content": "A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.\n\n['A)36 kmph', 'B)40 kmph', 'C)30 kmph', 'D)42 kmph', 'E)None of these']", "role": "user", "uuid": "0250931e-7a49-429b-a2c6-24ed74e22c5a" }, { "content": "Let the speed of the goods train be x kmph.\nDistance covered by goods train in 10 hours\n= Distance covered by express train in 4 hours.\n∴ 10x = 4 × 90 or x = 36.\nSo, speed of goods train = 36 kmph.\nAnswer A", "role": "assistant", "uuid": "72556f8a-b744-4876-a6e9-6dba699a3e04" } ]

{ "coherence": 3.17, "complexity": 1.81, "correctness": 2.86, "helpfulness": 2.94, "instruction-following": 3.95, "safety": 4.05, "verbosity": 1.19, "verbosity-coeff": -0.111 }

[ { "content": "A businessman earns $26800 in December, thus decreasing his average annual (January to December) earnings by $1200. His average annual earnings would be\nSource: CMAT Preparation\n\n['A)$29000', 'B)$33500', 'C)$40000', 'D)$41000', 'E)$42300']", "role": "user", "uuid": "58309316-7060-4217-a8d1-0bb355c615e5" }, { "content": "(x - 26,800)/11 - x/12 = 1,200\nx = 480,000\nx/12 = 40,000\nAnswer: C.", "role": "assistant", "uuid": "c3ea743c-f464-4194-b822-ed0ed82cd80a" } ]

{ "coherence": 2.55, "complexity": 0.69, "correctness": 2.12, "helpfulness": 2.16, "instruction-following": 2.72, "safety": 4.13, "verbosity": 0.37, "verbosity-coeff": -0.1154 }

[ { "content": "If a and b are different positive integers and a + b+1 = a(a + b), then which of the following must be true?\nI. a = 1\nII. b = 1\nIII. a < b\n\n['A)I only', 'B)II only', 'C)III only', 'D)I and II', 'E)I and III']", "role": "user", "uuid": "30a75fc8-cf58-4d9e-9d39-b11186fa70d0" }, { "content": "Number picking might not be the best way to solve MUST BE TRUE questions.\nThe question asks which of the followingMUSTbe true, or which of the following isALWAYStrue no matter what set of numbers you choose. For such kind of questionsif you can prove that a statement is NOT truefor one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.\nSo the set you chose just proves that II is not always true and hence it's not a part of a correct choice. As for I and III: they might be true for this particular set of numbers but not true for another set, so you can not say that I and III are always true just based on one set of numbers (it just happens to be that I and III are always true).\nAs forCOULD BE TRUEquestions:\nThe questions asking which of the followingCOULDbe true are different:if you can prove that a statement is truefor one particular set of numbers, it will mean that this statement could be true and hence is a correct answer.\nD", "role": "assistant", "uuid": "5959dd10-6916-4e97-b1aa-31f760b1bfe4" } ]

{ "coherence": 2.29, "complexity": 2.27, "correctness": 1.27, "helpfulness": 1.07, "instruction-following": 1.28, "safety": 5.91, "verbosity": 1.47, "verbosity-coeff": -0.2166 }

[ { "content": "The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?\n\n['A)Rs.849.40', 'B)Rs.877.40', 'C)Rs.901.60', 'D)Rs.815.20', 'E)None of these']", "role": "user", "uuid": "5008c91f-5573-45b2-bcba-8fe0219be56b" }, { "content": "Let the costs of each kg of apples and each kg of rice be Rs.a and Rs.r respectively.\n10a = 24r and 6 * 20.50 = 2r\na = 12/5 r and r = 61.5\na = 147.6\nRequired total cost = 4 * 147.6 + 3 * 61.5 + 5 * 20.5\n= 590.4 + 184.5 + 102.5 = Rs.877.40\nANSWER:B", "role": "assistant", "uuid": "fc6e8115-5eec-46dd-865c-70471cd270be" } ]

{ "coherence": 2.68, "complexity": 1.65, "correctness": 2.14, "helpfulness": 2.51, "instruction-following": 3.7, "safety": 4.73, "verbosity": 1.22, "verbosity-coeff": -0.1097 }

[ { "content": "x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?\n\n['A)24', 'B)21', 'C)20', 'D)17', 'E)15']", "role": "user", "uuid": "5d753239-58c7-46a8-a521-be1608714640" }, { "content": "x, y, a, and b are positive integers of Q. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Answer: E.", "role": "assistant", "uuid": "ef531e83-39a5-4b5f-91a4-68f2039cc2d8" } ]

{ "coherence": 2.82, "complexity": 1.44, "correctness": 1.81, "helpfulness": 1.79, "instruction-following": 1.51, "safety": 5.48, "verbosity": 0.78, "verbosity-coeff": -0.2307 }

[ { "content": "Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,500, what is the bonds face value?\n\n['A) $6,000', 'B) $6,800', 'C) $7,425', 'D) $7,500', 'E) $9,375']", "role": "user", "uuid": "6cc6f49e-698d-4d8e-b5fe-83cade3eda13" }, { "content": "Interest = 0.05*face value = 0.04*8,500 --> face value = 0.04*8,500/0.05 = 6,800.\nAnswer: B.", "role": "assistant", "uuid": "4ca693b5-323d-45ca-9faa-60fca0ee89eb" } ]

{ "coherence": 3.17, "complexity": 0.61, "correctness": 2.25, "helpfulness": 2.49, "instruction-following": 3.39, "safety": 4.66, "verbosity": 0.39, "verbosity-coeff": -0.1557 }

[ { "content": "Two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?\n\n['A)22 sec', 'B)77 sec', 'C)11 sec', 'D)20 sec', 'E)66 sec']", "role": "user", "uuid": "d1e7ee5d-a15b-4c00-9e0a-763c85667c82" }, { "content": "Relative speed = (42 + 30) * 5/18 = 4 * 5 = 20 mps.\nDistance covered in passing each other = 120 + 320 = 440 m.\nThe time required = d/s = 440/20 = 11 sec.\nAnswer:C", "role": "assistant", "uuid": "0725e1f6-3009-4350-9eb4-72d27ee863fa" } ]

{ "coherence": 2.84, "complexity": 1.9, "correctness": 2.37, "helpfulness": 2.59, "instruction-following": 3.93, "safety": 5.2, "verbosity": 1.45, "verbosity-coeff": -0.1221 }

[ { "content": "A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?\n\n['A)74%', 'B)94%', 'C)44%', 'D)24%', 'E)74%']", "role": "user", "uuid": "9f43097e-85f9-41a9-88dc-ef3c5b0a823a" }, { "content": "g% = 20 + 20 + (20*20)/100\n= 44%\nAnswer:C", "role": "assistant", "uuid": "487f7ae9-8b03-44ac-b47d-ed4c14f54dba" } ]

{ "coherence": 2.98, "complexity": 1.85, "correctness": 2.41, "helpfulness": 2.29, "instruction-following": 3.11, "safety": 5.52, "verbosity": 1.18, "verbosity-coeff": -0.1439 }

[ { "content": "Equal weights of two alloys containing tin, copper and lead in the ratio 3:2:7 and 4:11:3 are melted and mixed together. What is the ratio of tin, copper and lead in the resultant alloy?\n\n['A)41:81:37', 'B)33:91:81', 'C)17:28:27', 'D)51:86:89', 'E)41:86:89']", "role": "user", "uuid": "5746c531-b32e-4608-a526-38c862054cac" }, { "content": "Let the weight of the two alloys be w each\nRequired ratio =\n(3w/12 +4w/18): ( 2w/12 +11w/18 ): (7w/12+3w/18)\n= 17w/36 : 28w/36 : 27w/36\n= 17:28: 27\nANSWER:C", "role": "assistant", "uuid": "5eca1935-5b8e-4906-85d1-efaf5d11d15f" } ]

{ "coherence": 2.92, "complexity": 1.81, "correctness": 2.45, "helpfulness": 2.57, "instruction-following": 3.68, "safety": 6.06, "verbosity": 1.3, "verbosity-coeff": -0.155 }

[ { "content": "The largest four digit number which is a multiple of 8, 10,12 and 15 is:\n\n['A)9960', 'B)9950', 'C)9940', 'D)9930', 'E)9920']", "role": "user", "uuid": "cc07cc69-93cd-43e3-b2f4-b665fe54448a" }, { "content": "lcm=120\n9999/120=83\n83*120=9960\nANSWER:A", "role": "assistant", "uuid": "1b89343a-8c0b-451c-bcdd-9e26d795fdf1" } ]

{ "coherence": 2.59, "complexity": 2.02, "correctness": 2.51, "helpfulness": 2.53, "instruction-following": 2.62, "safety": 5.05, "verbosity": 1.41, "verbosity-coeff": -0.1235 }

[ { "content": "What percentage of numbers from 1 to 50 have squares that end in the digit 5?\n\n['A)1', 'B)14', 'C)10', 'D)21', 'E)22']", "role": "user", "uuid": "cc636d23-f62a-4291-b6b8-ae49d3f2f480" }, { "content": "Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 5. Such numbers from 1 to 50 are 5,15,25,35,45.\nNumber of such numbers = 14.\nRequired percentage = (5/50 * 100) = 10%\nANSWER:C", "role": "assistant", "uuid": "797834bd-fe16-4a6b-bda7-355d72d2a549" } ]

{ "coherence": 2.43, "complexity": 1.94, "correctness": 1.56, "helpfulness": 1.38, "instruction-following": 2.31, "safety": 5.32, "verbosity": 1.27, "verbosity-coeff": -0.1581 }

[ { "content": "Mr. loyd wants to fence his Square shaped land of 120Sqft each side.If a pole is laid every 12ft how many poles do he need?\n\n['A)20', 'B)30', 'C)40', 'D)50', 'E)60']", "role": "user", "uuid": "6430c5ae-0b9b-4255-90df-692e6b02765c" }, { "content": "If each side is 120 feet..then total perimeter is 120*4=480\npoles every 12 feet hence no of poles= 480/12=40\nANSWER:C", "role": "assistant", "uuid": "e75306ad-d0c3-4ac5-8f16-a56f57e1f7b0" } ]

{ "coherence": 2.96, "complexity": 1.56, "correctness": 2.98, "helpfulness": 3.13, "instruction-following": 3.64, "safety": 5.16, "verbosity": 1.33, "verbosity-coeff": -0.1152 }

[ { "content": "A table is bought for Rs.400/- and sold at Rs.550/- find gain or loss percentage\n\n['A)l10%oss', 'B)30%gain', 'C)37.5%gain', 'D)10%loss', 'E)25% loss']", "role": "user", "uuid": "1a36db45-6890-4176-9092-67ff198bc794" }, { "content": "Formula = (Selling price ~ Cost price)/Cost price * 100\n= (550 - 400)/400 = 37.5% gain\nC", "role": "assistant", "uuid": "52733b99-778c-471e-9aea-e3c0a0489d84" } ]

{ "coherence": 3.21, "complexity": 1.93, "correctness": 2.76, "helpfulness": 2.7, "instruction-following": 3.82, "safety": 3.15, "verbosity": 1.39, "verbosity-coeff": -0.0984 }

[ { "content": "How many zeroes are there at the end of the number N, if N = 80! + 160! ?\n\n['A)15', 'B)19', 'C)23', 'D)27', 'E)31']", "role": "user", "uuid": "1b2412b6-b5d3-4c11-a30d-088b366ad11d" }, { "content": "The number of zeroes at the end of 80! will be less than the number of zeroes at the end of 160!\nHence it is sufficient to calculate the number of zeroes at the end of 80!\nThe number of zeroes = [80/5] + [80/25] + [80/125] = 16 + 3 + 0 = 19\nThe answer is B.", "role": "assistant", "uuid": "71bba1f3-c9c8-414a-838d-986e086a3505" } ]

{ "coherence": 3.02, "complexity": 1.72, "correctness": 2.02, "helpfulness": 2.14, "instruction-following": 2.49, "safety": 5.32, "verbosity": 0.96, "verbosity-coeff": -0.1855 }

[ { "content": "Two friends A and B leave point A and point B simultaneously by bicycle and travel towards Point B and Point A on the same route at their respective constant speeds. They meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively. How long will B take to cover the entire journey between Point B and point A?\n\n['A)65', 'B)70', 'C)75', 'D)80', 'E)90']", "role": "user", "uuid": "da2837ab-470d-45fe-af39-b8b41fed1a02" }, { "content": "Let x per minute be the speed of A and y per minute be the speed of B.\nAfter meeting at a point, A travels for 32 mins and B travels for 50 mins. So distance covered by each of them post point of crossing\nA= 32x and B=50y\nThe distance covered by A and B before they cross each would be distance covered by B and A post crossing respectively.\nTherefore distance covered by B before he meets A= 32x\nTime taken by B cover 32x distance= 32x/y mins\nTherefore total time taken by B= 32x/y + 50 mins ................. I\nWe need to find value of x in terms of y to arrive at final answer.\nTotal distance= 32x+50y\nCombined speed of A and B= x+y\nTherefore time taken before A and B meet en-route= (32x+50y)/(x+y)\nTime taken by B reach destination after meeting A= 50 mins\nTotal travel time for B= [(32x+50y)/(x+y)]+50 mins ...................II\nEquate I and II\n32x/y+50= [(32x+50y)/(x+y)]+50\n(32x+50y)/y=(82x+100y)/(x+y)\n32x^2+50xy+32xy+50y^2=82xy+100y^2\n32x^2+82xy-82xy+50y^2-100y^2=0\n32x^2-50y^2=0\n32x^2=50y^2\n16x^2=25y^2\nTaking square root.. (since x and y denote speed, square root can't be negative)\n4x=5y\ny=4x/5 ............ III\nsubstitute in I\n=32x/(4x/5) + 50\n=32x*5/4x + 50\n=40+50\n=90 mins\nE", "role": "assistant", "uuid": "4b6cd7b4-1a31-448e-a23e-16ff66351f0a" } ]

{ "coherence": 2.66, "complexity": 2.23, "correctness": 2.27, "helpfulness": 2.35, "instruction-following": 2.78, "safety": 4.36, "verbosity": 1.35, "verbosity-coeff": -0.1209 }

[ { "content": "In how many ways can the letters of the word AEOGHYI be rearranged such that the vowels always appear together?\n\n['A)254', 'B)576', 'C)476', 'D)765', 'E)398']", "role": "user", "uuid": "01ccf423-4b7c-4b3c-8fe1-7b70645565d8" }, { "content": "AEOGHYI\nAEOI will come together as a group which can be arranged in 4!=24ways.\nAEOI, G,H,Ycan be arranged in 4!=24 ways.\ntotal possible arrangements = 24*24=576 ways\nANSWER:B", "role": "assistant", "uuid": "14006844-e6be-4ed3-8263-74307a730954" } ]

{ "coherence": 2.49, "complexity": 1.77, "correctness": 2.06, "helpfulness": 2.21, "instruction-following": 3.19, "safety": 4.4, "verbosity": 1.63, "verbosity-coeff": -0.1422 }

[ { "content": "Raman mixed 34 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?\n\n['A)129', 'B)287', 'C)192', 'D)188', 'E)112']", "role": "user", "uuid": "2009dcfa-5d5b-4b50-bd94-b2a2839e4002" }, { "content": "Explanation:\nCP per kg of mixture = [34(150) + 36(125)]/(34 + 36) = Rs. 137.14\nSP = CP[(100 + profit%)/100]\n= 137.14* [(100 + 40)/100] = Rs. 192.\nAnswer:C", "role": "assistant", "uuid": "66e52645-1aef-4735-afc0-c94c6bcc6a82" } ]

{ "coherence": 3.02, "complexity": 1.67, "correctness": 2.43, "helpfulness": 2.61, "instruction-following": 3.91, "safety": 5.75, "verbosity": 1.4, "verbosity-coeff": -0.1295 }

[ { "content": "In a certain random experiment, exactly one of the outcomes A, B, and T will occur. In each random experiment, the probability that outcome A will occur is 1/3 , and the probability that outcome B will occur is 1/3. What is the probability that when the random experiment is conducted 6 independent times, each of outcomes A, B, and T will occur twice?\n\n['A)5/243', 'B)1/12', 'C)10/81', 'D)1/6', 'E)16/81']", "role": "user", "uuid": "131a7181-9449-478b-ac37-d58f29550686" }, { "content": "Number of ways in which a group of 2A,2B,2T can be formed in any order = 6!/(2!*2!*2!) [ formula for total of 6 items with 2 each of similar kind)\nTotal number of ways in which the die can be thrown independently = _ _ _ _ _ _ ; there are 6 places .First can be filled in 3 different ways A/B/T; Second in 3 diff ways again and so on.\nSo total number of ways = 3X3X3X3X3X3 = 3^6\nThere fore probability = 6!/(2!x2!x2!) by 3^6 = 90/3^6 = 10/81 Answer C", "role": "assistant", "uuid": "e35a7ed3-8a9c-42a7-9d4a-bdc266d43178" } ]

{ "coherence": 2.78, "complexity": 1.04, "correctness": 2.21, "helpfulness": 2.33, "instruction-following": 2.62, "safety": 5.09, "verbosity": 0.97, "verbosity-coeff": -0.1976 }

[ { "content": "A and B started a business by investing Rs.4000/- and Rs.5000/- respectively. Find the A’s share out of a total profit of Rs.1800:\n\n['A)Rs.600/-', 'B)Rs.660/-', 'C)Rs.800/-', 'D)Rs.820/-', 'E)Rs.840/-']", "role": "user", "uuid": "dfd1f933-1b0f-4064-90cd-2c4907bec619" }, { "content": "A = Rs.4000/-\nB = Rs.5000/-\nA share 4 parts & B share 5 parts\nTotal 9 parts -----> Rs.1800/-\n----> 1 part -------> Rs.200/-\nA share = 4 parts -----> Rs.800/-\nC", "role": "assistant", "uuid": "b8236c60-060a-4e25-95e8-f81ae3ad9fab" } ]

{ "coherence": 2.92, "complexity": 1.06, "correctness": 2.41, "helpfulness": 2.35, "instruction-following": 2.84, "safety": 4.21, "verbosity": 0.44, "verbosity-coeff": -0.1165 }

[ { "content": "A cricket player whose bowling average was 23.50 runs per wicket, takes 5 wicket for 52 runs in a match. Due to this his average decreases by 0.50. What will be the number of wickets taken by him till the last match?\n\n['A)64', 'B)72', 'C)131', 'D)456', 'E)108']", "role": "user", "uuid": "6a7d2525-98bf-4e78-a8bf-e8f96521df7e" }, { "content": "Average = Total Runs / Total wickets\nTotal runs after last match = 23.5w + 52\nTotal wickets after last match = w + 5\n(23.5w + 52) / (w + 5) = 23.5 - 0.5 = 23\nw = 126\nso total wickets aftr last match = w+5 = 131\nANSWER:C", "role": "assistant", "uuid": "8463a7db-a0f1-4272-a106-d09df7806fd2" } ]

{ "coherence": 2.57, "complexity": 2.04, "correctness": 2.29, "helpfulness": 2.43, "instruction-following": 3.5, "safety": 4.73, "verbosity": 1.56, "verbosity-coeff": -0.1189 }

[ { "content": "In a test, 52% students failed in Hindi, 40% failed in English and 27% failed in both. What percentage of students passed in both the subjects?\n\n['A)25%', 'B)48%', 'C)35%', 'D)None of these', 'E)Cannot be determined']", "role": "user", "uuid": "d9bb26c7-afec-4e7c-95fb-77c48ac2976e" }, { "content": "Explanation :\nPercentage of passed students in both the subjects = 100-(52+40-27) = 35%\nAnswer : C", "role": "assistant", "uuid": "6c424286-c9d4-4b29-b6fd-4c6322dbb874" } ]

{ "coherence": 2.84, "complexity": 1.53, "correctness": 2.39, "helpfulness": 2.47, "instruction-following": 3.31, "safety": 5.71, "verbosity": 0.55, "verbosity-coeff": -0.1089 }

[ { "content": "A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?\n\n['A)10%', 'B)11%', 'C)12%', 'D)15%', 'E)13%']", "role": "user", "uuid": "69da3e33-d8c1-4108-8b2b-84aa7d84b8b1" }, { "content": "Original price = 100\nCP = 80\nS = 80*(140/100) = 112\n100 - 112 = 12%\nANSWER:C", "role": "assistant", "uuid": "913c1a19-faa7-4ed5-851f-ce7d3760e56b" } ]

{ "coherence": 2.96, "complexity": 1.66, "correctness": 2.59, "helpfulness": 2.59, "instruction-following": 3.17, "safety": 5.48, "verbosity": 1.01, "verbosity-coeff": -0.1629 }

[ { "content": "A gardener increased the length of a rectangle-shaped garden by 25 percent and decreased its width by 10 percent. The area of the new garden\n\n['A)has increased by 15 percent', 'B)has increased by 12.5 percent', 'C)has increased by 7.5 percent', 'D)is exactly the same as the old area', 'E)cannot be expressed in percentage terms without actual numbers']", "role": "user", "uuid": "8f8d37ff-1266-470a-947c-c662fc3e32f5" }, { "content": "Let L be the original length and let W be the original width.\nThe original area was L*W.\nThe new area is 0.9W*1.25L = (0.9)(1.25)L*W = 1.125*L*W\nThe answer is B.", "role": "assistant", "uuid": "020a4ece-e1f7-403b-80d2-cddc60f6d359" } ]

{ "coherence": 2.72, "complexity": 1.61, "correctness": 2.2, "helpfulness": 2.35, "instruction-following": 2.7, "safety": 6.38, "verbosity": 1.12, "verbosity-coeff": -0.1367 }

[ { "content": "If 12 men and 16 boys can do a piece of work in 7 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.\n\n['A)1:4', 'B)1:2', 'C)1:3', 'D)2:1', 'E)4:1']", "role": "user", "uuid": "fa28d7c6-3a56-4379-9c23-8679ecf79fb4" }, { "content": "12M + 16B ----- 7 days\n13M + 24B ------- 4 days\n84M + 112B = 52M + 96B\n32M = 16B => 2M = B\nM: B = 1:2\nANSWER:B", "role": "assistant", "uuid": "1408fe1e-785f-4330-85a7-b1a43af0b91d" } ]

{ "coherence": 3.09, "complexity": 1.57, "correctness": 2.86, "helpfulness": 3, "instruction-following": 3.68, "safety": 4.32, "verbosity": 1.07, "verbosity-coeff": -0.1205 }

[ { "content": "There are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?\n\n['A)2', 'B)4', 'C)8', 'D)59', 'E)32']", "role": "user", "uuid": "138959e9-100d-4126-bdca-e792fa81b71a" }, { "content": "lets assign variables to all the areas in Venn Diagram of Three.\nthree different Units are DOG, Cat, Snake= Total = 89\nOnly Dog= d=15\nOnly Cat = c=10\nOnly Snake = s\nExactly Dog and Cat= 5\nExactly Dog and Snake = x\nExactly Cat and Snake = y\nall three= 3\nso 89=15+10+5+3+x+y+s\nwe need to know total snakes= x+y+s+3 = 59\nanswer:D", "role": "assistant", "uuid": "7abd4d41-18f1-4e15-ae74-d9a23d7aa25b" } ]

{ "coherence": 2.39, "complexity": 1.52, "correctness": 1.52, "helpfulness": 1.62, "instruction-following": 2.37, "safety": 6.73, "verbosity": 1.07, "verbosity-coeff": -0.1219 }

[ { "content": "A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?\n\n['A)4', 'B)6', 'C)5', 'D)9', 'E)8']", "role": "user", "uuid": "f8cf0f3c-aea8-4d00-9e31-82cf1c7d1bc1" }, { "content": "Speed of train relative to man = (60 + 6) km/hr = 66 km/hr\n[66 * 5/18] m/sec = [55/3] m/sec.\nTime taken to pass the man = [110 * 3/55] sec = 6 sec\nANSWER:B", "role": "assistant", "uuid": "778fccac-1d70-4dda-ab1e-6d6fbe343a3b" } ]

{ "coherence": 2.84, "complexity": 1.62, "correctness": 2.68, "helpfulness": 2.92, "instruction-following": 3.99, "safety": 5.28, "verbosity": 1.7, "verbosity-coeff": -0.1234 }

[ { "content": "A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.?\n\n['A)20/69', 'B)20/63', 'C)20/65', 'D)20/61', 'E)20/62']", "role": "user", "uuid": "ee797f0b-7a6a-4d91-b8ae-dc53087fec66" }, { "content": "Required probability = (10 * 4)/126 = 20/63.Answer: B", "role": "assistant", "uuid": "fe3feb01-7c0d-4419-90fa-2eddb35358d7" } ]

{ "coherence": 3.05, "complexity": 0.96, "correctness": 2.37, "helpfulness": 2.51, "instruction-following": 3.6, "safety": 4.4, "verbosity": 0.96, "verbosity-coeff": -0.1314 }

[ { "content": "There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:\n\n['A)20', 'B)30', 'C)40', 'D)50', 'E)10']", "role": "user", "uuid": "3d04d14c-b5fc-4461-a762-e9019cfa01cb" }, { "content": "A\n20\nLet the number of students in rooms A and B be x and y respectively.\nThen, x - 10 = y + 10 x - y = 20 .... (i)\nand x + 20 = 2(y - 20) x - 2y = -60 .... (ii)\nSolving (i) and (ii) we get: x = 100 , y = 80.\nThe required answer A = 100.", "role": "assistant", "uuid": "4bd11411-230a-4797-b275-e308fdc72b6b" } ]

{ "coherence": 3, "complexity": 1.49, "correctness": 1.91, "helpfulness": 2.08, "instruction-following": 2.61, "safety": 3.84, "verbosity": 1.01, "verbosity-coeff": -0.1094 }

[ { "content": "Avg cost of 3 sharpners and 6 erasers is Rs.72. The avg cost of 6 sharpners and 8 erasers is Rs.112. Find the total cost of 20 sharpners and 20 erasers?\n\n['A)190', 'B)160', 'C)130', 'D)200', 'E)180']", "role": "user", "uuid": "daa0f48a-8d7e-4911-b7db-87fa2628114a" }, { "content": "Avg cost of 3 sharpners and 6 erasers is Rs.72\n(3 sharpner + 6 erasers) 9=72\ntherefore 1 sharpner cost is 72/9=8, so 3 sharpner cost is 3x8=24 and 6 erasers cost is 6x8=48\nAgain, avg cost of 6 sharpners and 8 erasers is Rs.112\n(6 sharpner + 8 erasers) 14=112\ntherefore 1 sharpner cost is 112/14=8, so 6 sharpner cost is 6x8=48 and 8 erasers cost is 8x8=64\nSo 20 sharpner cost is (20/a)=160 and 20 erasers cost is (20x8)=160\nANSWER:B", "role": "assistant", "uuid": "a13fc006-f54b-4bff-8f0f-ec1024d92bf1" } ]

{ "coherence": 2.76, "complexity": 2.02, "correctness": 2.21, "helpfulness": 2.27, "instruction-following": 2.78, "safety": 5.91, "verbosity": 1.6, "verbosity-coeff": -0.1229 }

[ { "content": "The sum of present age of Abe and the age before 7 years is 29. Find the present age of Abe. What will be his age after 7 years?\n\n['A)25', 'B)26', 'C)27', 'D)28', 'E)29']", "role": "user", "uuid": "905e6cec-452a-45f7-9c71-2f0f690d0122" }, { "content": "Present age = x\nBefore 7yrs, y=x-7\nAfter 7yrs, z=x+7\nBy the qn,\nx+(x-7)=29\n2x-7=29\n2x=29+7\nx=36/2\nx=18\nz=x+7\n=18+7\n=25\nANSWER:A", "role": "assistant", "uuid": "087d8714-f41f-43a0-8970-36e32de0e246" } ]

{ "coherence": 2.96, "complexity": 1.8, "correctness": 2.43, "helpfulness": 2.62, "instruction-following": 3.09, "safety": 5.67, "verbosity": 1.29, "verbosity-coeff": -0.119 }

[ { "content": "Find the average of all numbers between 3 and 86 which are divisible by 5\n\n['A)15', 'B)20', 'C)25', 'D)30', 'E)45']", "role": "user", "uuid": "17bc287c-976c-4a52-aa21-940d78cd5f8a" }, { "content": "Explanation:\nAverage=(5+10+15+20+25+30+35+40+45+50+55+60+65+70+75+80+85)/17=765/17=45\nAnswer: Option E", "role": "assistant", "uuid": "87396581-a2ba-4594-b6e2-36a1eb401cd3" } ]

{ "coherence": 2.7, "complexity": 1.85, "correctness": 1.94, "helpfulness": 2, "instruction-following": 2.41, "safety": 4.7, "verbosity": 1.06, "verbosity-coeff": -0.129 }

[ { "content": "What number should replace the question mark?\n105, 87, 70, 52, 35,?\n\n['A)49', 'B)37', 'C)70', 'D)17', 'E)83']", "role": "user", "uuid": "7e086a46-193a-41c7-9626-4ef0d5b85477" }, { "content": "D\n17\nThe sequence progresses -18, -17, -18, -17.", "role": "assistant", "uuid": "72671734-1994-4219-aff7-3767098f4f6b" } ]

{ "coherence": 2.66, "complexity": 0.89, "correctness": 2.04, "helpfulness": 2.02, "instruction-following": 2.51, "safety": 2.61, "verbosity": 0.96, "verbosity-coeff": -0.1101 }

[ { "content": "In a garden, there are four blue flowers, three red flowers, four green flowers, and four pink flowers. What is the probability that a florist will choose three flowers of the same color when randomly picking three flowers?\n\n['A)11/10', 'B)1/55', 'C)31/10', 'D)3/55', 'E)1/16']", "role": "user", "uuid": "5521281f-bb16-4575-8cb8-1eb748bb70ec" }, { "content": "P(all the same color) = P(1st flower is ANY colorAND2nd flower is same as firstAND3rd flower is also the same color)\n= P(1st flower is ANY color)xP(2nd flower is same as 1st)ANDP(3rd flower is the same color)\n= 1x3/11x2/10\n= 3/55\nAnswer: D", "role": "assistant", "uuid": "92d4d3d1-4682-44c5-b264-a00a288d21f2" } ]

{ "coherence": 2.94, "complexity": 1.25, "correctness": 2.14, "helpfulness": 2.59, "instruction-following": 3.07, "safety": 4.73, "verbosity": 0.93, "verbosity-coeff": -0.1918 }

[ { "content": "Ashle and Vinnie work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashle and Vinnie will be chosen?\n\n['A)1/10', 'B)3/28', 'C)2/9', 'D)1/4', 'E)1/2']", "role": "user", "uuid": "fa12a5bf-a428-482f-85b1-f30f02d7bc84" }, { "content": "I did slightly different and hence obviously ended up with the answer 2/9.\nI assumed that because Ashle and Winni have to be chosen, the remaining selection is 3 people from 8.\n8C3/10C5= 2/9. Option C.", "role": "assistant", "uuid": "6fd26b7b-4d2c-4629-b62e-b935c74a3057" } ]

{ "coherence": 2.8, "complexity": 1.02, "correctness": 2.08, "helpfulness": 2.16, "instruction-following": 2.29, "safety": 5.91, "verbosity": 1.26, "verbosity-coeff": -0.1573 }

[ { "content": "A cargo ship carrying four kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. Each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. If, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104,350,400 pounds, how many widgets have been unloaded?\n\n['A)2', 'B)3', 'C)4', 'D)25', 'E)20,870,080']", "role": "user", "uuid": "42d644b0-099f-4c7b-bacc-b4c1852a9052" }, { "content": "We need to know the number of widgets (which weigh 5 pounds each). The number of times that 5 divides the number is related to the number of times that 10 divides the number.\nWhen we divide 104,350,400 by 100, we get 104,350,400 = 1,043,504 * 5^2 *2^2.\n1,043,504 is not divisible by 5, thus there are 2 widgets.\nThe answer is A.", "role": "assistant", "uuid": "0492f260-a690-427b-a94c-71fecb11dfe6" } ]

{ "coherence": 2.49, "complexity": 2.25, "correctness": 1.83, "helpfulness": 1.98, "instruction-following": 1.72, "safety": 4.3, "verbosity": 1.47, "verbosity-coeff": -0.1288 }

[ { "content": "Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age?\n\n['A)1', 'B)2', 'C)4', 'D)5', 'E)6']", "role": "user", "uuid": "7d46b7f4-04d3-4a7a-93a6-b9e0e3a94566" }, { "content": "Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years.\n(4x + 8) = 5 (x + 8)\n2\n8x + 16 = 5x + 40\n3x = 24\nx = 8.\nHence, required ratio = (4x + 16)/(x + 16) = 48/24= 2.\nB", "role": "assistant", "uuid": "e9fdf15f-6160-44b7-b831-b2263ff368ce" } ]

{ "coherence": 2.45, "complexity": 1.85, "correctness": 1.97, "helpfulness": 1.99, "instruction-following": 2.78, "safety": 4.81, "verbosity": 1.36, "verbosity-coeff": -0.1388 }

[ { "content": "Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?\n\n['A)12⁄13', 'B)11⁄13', 'C)10⁄15', 'D)1⁄15', 'E)None of these']", "role": "user", "uuid": "273155c6-10e8-4afd-8358-70867fbe081b" }, { "content": "Total possible ways of selecting 4 students out of 15 students = 15C4 = 15×14×13×12 /1×2×3×4=1365\nThe no. of ways of selecting 4 students in which no student belongs to Karnataka = 10C4\n∴ Hence no. of ways of selecting at least one student from Karnataka = 15C4 – 10C4 = 1155\n∴ Probability = 1155⁄1365 = 77⁄91 = 11⁄13\nAnswer B", "role": "assistant", "uuid": "17a220d4-ad98-42f7-bcef-5fd68068ff95" } ]

{ "coherence": 2.78, "complexity": 1.63, "correctness": 2.45, "helpfulness": 2.78, "instruction-following": 3.43, "safety": 6.26, "verbosity": 1.49, "verbosity-coeff": -0.1182 }

[ { "content": "Amber works 8 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?\n\n['A)8d', 'B)20d', 'C)10md/6', 'D)20d/m', 'E)20md']", "role": "user", "uuid": "ea53bcd2-2e97-4eaa-bd40-8fa0d4917abe" }, { "content": "ANSWER: A The passage states that she works 8 days a month at d dollars per day, so 8 d is her monthly pay", "role": "assistant", "uuid": "19ab968e-4d8f-44ce-a62d-0b99f8472065" } ]

{ "coherence": 2.94, "complexity": 0.72, "correctness": 2.02, "helpfulness": 2.37, "instruction-following": 2.37, "safety": 3.84, "verbosity": 0.62, "verbosity-coeff": -0.1288 }

[ { "content": "Two dice are tossed simultaneously. Find the probability that the total is a prime number.\n\n['A)5/9', 'B)5/8', 'C)5/6', 'D)5/34', 'E)5/1']", "role": "user", "uuid": "a4ee793d-3e7f-478b-abf7-8ff9ad9ca62e" }, { "content": "ANSWER: A", "role": "assistant", "uuid": "80fba0b2-b593-4a47-b482-4acc97681f56" } ]

{ "coherence": 2.29, "complexity": 1.07, "correctness": 1.02, "helpfulness": 1.03, "instruction-following": 1.28, "safety": 4.62, "verbosity": 0.62, "verbosity-coeff": -0.1348 }

[ { "content": "In the manufacture of a certain product, 7 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. What percent of the units produced are defective units that are shipped for sale?\n\n['A)0.125%', 'B)0.28%', 'C)0.8%', 'D)1.25%', 'E)2.0%']", "role": "user", "uuid": "923f8170-64ef-46f4-82c9-cb26e90cc859" }, { "content": "Percent of defective produced = 7%\nPercent of the defective units that are shipped for sale = 4%\nPercent of units produced are defective units that are shipped for sale = (4/100)*(7/100)*100%\n= (28/10000)*100%\n= (28/100)%\n= .28 %\nAnswer B", "role": "assistant", "uuid": "8d2bdb7d-aba1-4eaa-87ed-f53b5f73c1f5" } ]

{ "coherence": 2.66, "complexity": 1.31, "correctness": 2.61, "helpfulness": 2.61, "instruction-following": 3.25, "safety": 5.63, "verbosity": 1.48, "verbosity-coeff": -0.2051 }

[ { "content": "The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 256,000 locusts?\n\n['A)12', 'B)14', 'C)16', 'D)15', 'E)11']", "role": "user", "uuid": "fbc91e32-cadc-4952-b9b0-bdfc0d00fecb" }, { "content": "- 4 hours: 1,000\n-2 hours: 2,000\nNow: 4,000\n+ 2 hours: 8,000\n+ 4 hours: 16,000\n+ 6 hours: 32,000\n+ 8 hours: 64,000\n+ 10 hours: 128,000\n+ 12 hours: 256,000\nAnswer : A", "role": "assistant", "uuid": "7846574d-b4d7-44b3-a9ac-1181675bb18f" } ]

{ "coherence": 3.07, "complexity": 1.17, "correctness": 2.74, "helpfulness": 2.7, "instruction-following": 3.02, "safety": 5.09, "verbosity": 1.06, "verbosity-coeff": -0.1892 }

[ { "content": "Find the numbers which are in the ratio 3:2:3 such that the sum of the first and the second added to the difference of the third and the second is 24?\n\n['A)4,3,22', 'B)4,4,22', 'C)9,3,32', 'D)9,6,12', 'E)18,12,18']", "role": "user", "uuid": "20762ffb-bace-4f7a-b204-5c0a28e85fd3" }, { "content": "Let the numbers be a, b and c.\na:b:c = 3:2:3\nGiven, (a + b) + (c - b) = 24\n=> a + c = 24\n=> 3x + 3x = 24 => x = 6\na, b, c are 3x, 2x, 3x\na, b, c are 18, 12, 18.\nAnswer:E", "role": "assistant", "uuid": "04771625-9773-4c17-a7ff-053a43e22289" } ]

{ "coherence": 2.76, "complexity": 1.35, "correctness": 2.18, "helpfulness": 2.21, "instruction-following": 3, "safety": 4.58, "verbosity": 0.83, "verbosity-coeff": -0.2127 }

[ { "content": "A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?\n\n['A)$2000', 'B)$2500', 'C)$3000', 'D)$3600', 'E)$4200']", "role": "user", "uuid": "65ab1301-374c-4265-a8a2-348c57926ccf" }, { "content": "Let the shares of A, B, C and D be 6x, 2x, 4x and 3x respectively.\nThen, 4x - 3x = 500\nx = $500\nA's share = 6x = 6*$500 = $3000\nThe answer is C.", "role": "assistant", "uuid": "8800e918-dbaf-4eb3-be42-596c1530f916" } ]

{ "coherence": 3.02, "complexity": 0.92, "correctness": 2.66, "helpfulness": 2.9, "instruction-following": 2.92, "safety": 3.46, "verbosity": 0.56, "verbosity-coeff": -0.1308 }

[ { "content": "An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?\n\n['A)A)1500', 'B)B)10000', 'C)C)2500', 'D)D)3000', 'E)E)3100']", "role": "user", "uuid": "711ce09f-790b-4e62-9fca-209b8f82ff90" }, { "content": "Let the number of meters to be examined be x\nThen, 0.02% of x = 2\n(2/100)*((1/100)*x = 2\nx = 10000\nAnswer is B", "role": "assistant", "uuid": "27f7512d-348f-4f66-8cc4-5209f50efc86" } ]

{ "coherence": 2.51, "complexity": 1.43, "correctness": 2.37, "helpfulness": 2.25, "instruction-following": 2.9, "safety": 5.28, "verbosity": 0.83, "verbosity-coeff": -0.1259 }

[ { "content": "Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 10 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 10 minute mark.)\n\n['A)41', 'B)42', 'C)43', 'D)44', 'E)45']", "role": "user", "uuid": "0cc7a47f-5388-4cb4-aa39-e2494a2e2288" }, { "content": "10 minutes is 600 seconds.\nLamp A and Lamp B will flash together every 24 seconds.\n600/24=25.\nIn the time period, Lamp A and Lamp B will flash together 25 times.\nLamp A and Lamp C will flash together every 30 seconds.\n600/30=20.\nIn the time period, Lamp A and Lamp C will flash together 20 times.\nLamp B and Lamp C will flash together every 40 seconds.\n600/40=15.\nIn the time period, Lamp B and Lamp C will flash together 15 times.\nAll three lights will flash together every 2*2*2*3*5=120 seconds.\n600/120=5.\nWe have counted these triple flashes three times, so we need to subtract three times the number of times that all three lights flash together.\nThe number of times that exactly two lights flash together is 25+20+15-15=45 times.\nThe answer is E.", "role": "assistant", "uuid": "6e30281b-ee15-4e2c-b729-cc6e5b299b05" } ]

{ "coherence": 2.78, "complexity": 1.84, "correctness": 2.61, "helpfulness": 2.57, "instruction-following": 3.09, "safety": 5.67, "verbosity": 1.97, "verbosity-coeff": -0.2304 }

[ { "content": "If xy=4, x/y=81, for positive numbers x and y, y=?\n\n['A)1/2', 'B)2', 'C)2/9', 'D)3', 'E)1/6']", "role": "user", "uuid": "15866bfd-a8d8-435c-8fed-a3223cd65283" }, { "content": "Very easy question. 2 variables and 2 easy equations.\nxy=4 ---> x=4/y - (i)\nx/y=81 ---> replacing (i) here ---> 4/(y^2)=81 ---> y^2=4/81 ---> y=2/9 or -2/9\nThe question states that x and y are positive integers. Therefore, y=2/9 is the answer.\nAnswer C.", "role": "assistant", "uuid": "c0152325-4457-4078-b23d-68aa672a7c6d" } ]

{ "coherence": 3, "complexity": 1.54, "correctness": 2.45, "helpfulness": 2.35, "instruction-following": 3.02, "safety": 4.62, "verbosity": 1.1, "verbosity-coeff": -0.1536 }

[ { "content": "A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is\n\n['A)10√2 m', 'B)100 m', 'C)100√2 m', 'D)200 m', 'E)None']", "role": "user", "uuid": "69180c11-da77-48f4-ad49-45fa8cb29c63" }, { "content": "Solution\nLet the altitude of the triangle be hïand base of each be b.\nThen , (½ ×b× h1) where h2 = 100 m.\n= h1 = 2h2\n= ( 2 x 100) m\n= 200 m.\nAnswer D", "role": "assistant", "uuid": "3b74b130-7442-4251-bd27-89ae9c8c8167" } ]

{ "coherence": 2.51, "complexity": 1.41, "correctness": 1.99, "helpfulness": 2.27, "instruction-following": 2.94, "safety": 6.88, "verbosity": 0.87, "verbosity-coeff": -0.1026 }

[ { "content": "The average runs scored by a batsman in 20 matches is 40. In the next 10 matches the batsman scored an average of 13 runs. Find his average in all the 30 matches?\n\n['A)31', 'B)86', 'C)82', 'D)15', 'E)10']", "role": "user", "uuid": "550c1235-8421-4b93-9c36-925c9e01e6f5" }, { "content": "Total score of the batsman in 20 matches = 800.\nTotal score of the batsman in the next 10 matches = 130.\nTotal score of the batsman in the 30 matches = 930.\nAverage score of the batsman = 930/30 =31.\nAnswer:A", "role": "assistant", "uuid": "1c03a1e4-dd3d-4f4c-b894-9b38b372da7b" } ]

{ "coherence": 2.96, "complexity": 1.39, "correctness": 2.94, "helpfulness": 3.15, "instruction-following": 3.95, "safety": 4.97, "verbosity": 1.55, "verbosity-coeff": -0.0988 }

[ { "content": "The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. What might be the weight of the new person?\n\n['A)65 kg', 'B)90 kg', 'C)85 kg', 'D)Data inadequate', 'E)None of these']", "role": "user", "uuid": "c280c056-7633-4523-86f8-25c3b34f9b8e" }, { "content": "A\n65 kg\nTotal weight increased = (8 x 2.5) kg = 20 kg.\nWeight of new person = (64 + 20) kg = 65 kg.", "role": "assistant", "uuid": "91a2cf32-4822-480e-a709-a4ac9300d272" } ]

{ "coherence": 2.98, "complexity": 1.63, "correctness": 1.8, "helpfulness": 2.16, "instruction-following": 2.29, "safety": 6.41, "verbosity": 0.57, "verbosity-coeff": -0.1249 }

[ { "content": "Look at this series: 36, 34, 30, 28, 24, ... What number should come next?\n\n['A)20', 'B)22', 'C)23', 'D)26', 'E)30']", "role": "user", "uuid": "b0b35392-63c4-49de-a682-e097a94f59c6" }, { "content": "36, 34, 30, 28, 24, ...\n22 is next number.\nANSWER:B", "role": "assistant", "uuid": "78d492a0-319f-46a5-a0e9-f8c0db59065c" } ]

{ "coherence": 2.84, "complexity": 0.52, "correctness": 2.43, "helpfulness": 2.68, "instruction-following": 2.86, "safety": 4.44, "verbosity": 0.75, "verbosity-coeff": -0.1183 }

[ { "content": "A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the following must be a prime number?\ng(11) + 2; g(11) + 3; g(11) + 4; and g(11) + 5\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)none']", "role": "user", "uuid": "95aebc7a-15d6-434f-8ecd-b3422e3cd71b" }, { "content": "g(11) is the product of all integers from 1 to 11, so g(11) = 11!\nThus g(11) is a multiple of all the integers from 1 to 11.\nThen g(11) is a multiple of 2, 3, 4, and 5.\n2 divides g(11)+2\n3 divides g(11)+3\n4 divides g(11)+4\n5 divides g(11)+5\nThe answer is E.", "role": "assistant", "uuid": "5c9f2a3a-2309-4727-9564-ade57139377a" } ]

{ "coherence": 2.96, "complexity": 1.95, "correctness": 2.16, "helpfulness": 2.27, "instruction-following": 2.33, "safety": 5.2, "verbosity": 1.26, "verbosity-coeff": -0.1663 }

[ { "content": "The sum of the squares of three consecutive odd numbers is 2531.Find the\nnumbers.\n\n['A)27,28 and 31', 'B)25,29 and 31', 'C)27,29 and 32', 'D)26,33 and 31', 'E)27,29 and 31']", "role": "user", "uuid": "d0c827d0-5e3c-4f9f-9242-51442fb42b66" }, { "content": "Let the numbers be x, x + 2 and x + 4.\nThen, X2 + (x + 2)2 + (x + 4)2 = 2531 => 3x2 + 12x - 2511 = 0\n=> X2 + 4x - 837 = 0\t=> (x - 27) (x + 31) = 0\t=>\tx = 27.\nHence, the required numbers are 27, 29 and 31.\nAnswer is E.", "role": "assistant", "uuid": "19a79870-e0cc-44bc-8130-8e51283bd8a2" } ]

{ "coherence": 2.98, "complexity": 1.67, "correctness": 2.25, "helpfulness": 2.33, "instruction-following": 3.6, "safety": 3.93, "verbosity": 1.23, "verbosity-coeff": -0.1386 }

[ { "content": "In a goat farm, the goat give birth to lamps and the count of goat increases by 60% every year. How many years it will take to get the count tripled?\n\n['A)270', 'B)780', 'C)209', 'D)790', 'E)488.28']", "role": "user", "uuid": "c4483b31-a1d1-4706-b21f-e91b4a58b709" }, { "content": "1 year: 100/4 = 60 : Total: 160\n2nd year: 160/4 = 40: Total: 160+40= 200\n3rd year: 200/4 = 50 approx: Total: 200+50 = 250\n4th year:250/4 = 62.5: Total: 250+62.5= 312.5\n5th year : 312.5/4 = 78.125: total : 312.5+78.125 = 390.63\n6th year : 390.63/4 = 97.65 : total : 390.63+97.65 = 488.28\n;6 years;\nANSWER: E", "role": "assistant", "uuid": "c45f4ab9-31cd-449f-8326-ff7eabb75b59" } ]

{ "coherence": 2.29, "complexity": 1.22, "correctness": 1.48, "helpfulness": 1.55, "instruction-following": 2.72, "safety": 5.01, "verbosity": 1.2, "verbosity-coeff": -0.0881 }

[ { "content": "A boy goes to his school from his house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he takes 5 hours in going and coming. The distance between his house and school is?\n\n['A)8 km', 'B)4 km', 'C)6 km', 'D)1 km', 'E)5 km']", "role": "user", "uuid": "437f371b-1a5b-443d-bc69-037c305dc477" }, { "content": "Average speed = (2 * 3 * 2) / (3 + 2) = 12/5 km/hr.\nDistance traveled = 12/5 * 5 = 12 km.\nDistance between house and school = 12/2 = 6 km.\nAnswer: C", "role": "assistant", "uuid": "33362a13-c1d5-4b30-be37-1b9dc21993d5" } ]

{ "coherence": 3.21, "complexity": 1.37, "correctness": 2.35, "helpfulness": 2.64, "instruction-following": 3.84, "safety": 5.32, "verbosity": 0.44, "verbosity-coeff": -0.1269 }

[ { "content": "A jar contains 8 marbles consisting of an equal number of red, green, and blue marbles. Four marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the four marbles have been removed?\n\n['A)1/495', 'B)1/165', 'C)3/70', 'D)1/35', 'E)11/20']", "role": "user", "uuid": "cfaa5a68-4a99-46d1-9070-342ffa4b64e9" }, { "content": "Jar contains {4-red, 4-green, 4-blue} marbles. We are asked to find the probability that after removing 4 marbles only 2 colours remain in the jar, i.e., the probability of removing EITHER red, OR green, OR blue.\nSample space = 8C4 = 495.\nProbability of choosing 4 red = 4C4/8C4 = 1/70.\nProbability of choosing 4 green = 4C4/8C4 = 1/70.\nProbability of choosing 4 blue = 4C4/8C4 = 1/70.\nRequired probability = 1+1+1/70 = 3/70 Ans (C).", "role": "assistant", "uuid": "ec457e67-3d1f-4d0f-a5e9-8c6f9855f112" } ]

{ "coherence": 2.55, "complexity": 1.5, "correctness": 2.04, "helpfulness": 2.18, "instruction-following": 2.35, "safety": 5.24, "verbosity": 1.21, "verbosity-coeff": -0.223 }

[ { "content": "A father said to his son, \"I was as old as you are at the present at the time of your birth\". If the father's age is 38 years now, the son's age five years back was:\n\n['A)14', 'B)17', 'C)19', 'D)22', 'E)24']", "role": "user", "uuid": "51e7b94e-5d44-4b4d-9920-a6ce9529f66a" }, { "content": "Let the son's present age be x years. Then, (38 - x) = x\n2x = 38.\nx = 19.\nSon's age 5 years back (19 - 5) = 14 years.\nAnswer : A", "role": "assistant", "uuid": "20cdb40a-443d-414a-b780-dfe06facc325" } ]

{ "coherence": 3.19, "complexity": 1.02, "correctness": 2.78, "helpfulness": 3.04, "instruction-following": 3.56, "safety": 4.38, "verbosity": 0.89, "verbosity-coeff": -0.1202 }

[ { "content": "A can finish a work in 12 days and B can do same work in half the time taken by A. then working together, what part of same work they can finish in a day?\n\n['A)1/4', 'B)1/6', 'C)1/7', 'D)1/8', 'E)None of these']", "role": "user", "uuid": "6db92e22-cbb0-4119-846e-2869d79b337d" }, { "content": "Explanation:\nPlease note in this question, we need to answer part of work for a day rather than complete work. It was worth mentioning here because many do mistake at this point in hurry to solve the question\nSo lets solve now,\nA's 1 day work = 1/12\nB's 1 day work = 1/6 [because B take half the time than A]\n(A+B)'s one day work =\n(1/12+1/6)=1/4\nSo in one day 1/4 work will be done\nAnswer: A", "role": "assistant", "uuid": "8b4cd0ab-f3ff-4fac-96fb-92235724c9ca" } ]

{ "coherence": 2.92, "complexity": 1.76, "correctness": 2.53, "helpfulness": 2.7, "instruction-following": 3.25, "safety": 6.34, "verbosity": 1.53, "verbosity-coeff": -0.1058 }

[ { "content": "0.04 x 0.0162 is equal to:\n\n['A)6.48 x 10(power -4)', 'B)6.84 x 10(power -4)', 'C)4.68 x 10(power -4)', 'D)5.48 x 10(power -4)', 'E)None of them']", "role": "user", "uuid": "3a89e928-ca53-4b14-8320-7066a0c33149" }, { "content": "4 x 162 = 648. Sum of decimal places = 6.\nSo, 0.04 x 0.0162 = 0.000648 = 6.48 x 10(power -4)\nAnswer is A.", "role": "assistant", "uuid": "227ac586-03d0-47c4-b092-4a04da95e51e" } ]

{ "coherence": 2.55, "complexity": 1.55, "correctness": 1.89, "helpfulness": 1.96, "instruction-following": 2.68, "safety": 4.13, "verbosity": 1.35, "verbosity-coeff": -0.111 }

[ { "content": "The volumes of two cubes are in the ratio 27: 125, what shall be the ratio of their surface areas?\n\n['A)9:26', 'B)9:24', 'C)9:25', 'D)9:20', 'E)9:21']", "role": "user", "uuid": "cfc917aa-a1be-41f9-844d-7efc21ff8d14" }, { "content": "a13 : a23 = 27 : 125\na1 : a2 = 3 : 5\n6 a12 : 6 a22\na12 : a22\n=9:25\nAnswer:C", "role": "assistant", "uuid": "3e2e6e7f-9e10-4807-a765-9fc0f4687e07" } ]

{ "coherence": 2.31, "complexity": 1.51, "correctness": 1.75, "helpfulness": 1.88, "instruction-following": 2.86, "safety": 6.73, "verbosity": 1.02, "verbosity-coeff": -0.1876 }

[ { "content": "It takes Megan 7 minutes to run a mile, and it takes Mike 8 minutes. If Megan and Mike both begin running at exactly 8:00 a.m. without pausing, when is the first time at which they will finish running a mile simultaneously?\n\n['A)8:28 am', 'B)8:35 am', 'C)8:42 am', 'D)8:49 am', 'E)8:56 am']", "role": "user", "uuid": "35a662d5-d2d3-402e-a002-011ea6a6d0ca" }, { "content": "Since Megan will run s miles after s × 7 minutes and Mike will run c miles after c × 8 minutes, they both will finish running a mile at the same time when s × 7 = c × 8. Since s and c must be integers (they represent the number of miles finished) this question is asking you to find a common multiple of 7 and 8. The question asks for the first time they will finish running a mile simultaneously, so you must find the least common multiple. The least common multiple of 7 and 8 is 56, so in the context of the question, this would be 56 minutes. Therefore, the first time they will finish running a mile at the same time is 8:00 + 56 minutes, or 8:56 a.m. The answer is (E).", "role": "assistant", "uuid": "d3513dcd-6235-4278-a57d-a66328ecf58a" } ]

{ "coherence": 2.53, "complexity": 1.53, "correctness": 2.1, "helpfulness": 2.12, "instruction-following": 2.45, "safety": 5.01, "verbosity": 1.21, "verbosity-coeff": -0.1725 }