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[ { "content": "What annual payment dischargea debit of Rs.12900, due in 4yrs.At 5% rate?\n\n['A)2000', 'B)2300', 'C)3000', 'D)3300', 'E)3400']", "role": "user", "uuid": "38b2ac30-b93f-4bf8-ad05-058d396edc24" }, { "content": "A.P.=(200X12900)/[4(200+5X3)]=3000 Ans\nAlternative\n100+105+110+115=12900\n430=12900\n100=12900/(430)X100=3000\nC", "role": "assistant", "uuid": "94b27494-b583-4f8d-b116-226b05667893" } ]

{ "coherence": 2.66, "complexity": 2.2, "correctness": 2.25, "helpfulness": 2, "instruction-following": 3.04, "safety": 5.44, "verbosity": 0.94, "verbosity-coeff": -0.1053 }

[ { "content": "Jack bought 200 packets of swiss chocolate. He was able to sell 1/2 of them at a 5% profit, another 1/4 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by Jack after selling those 200 packets. A packet sold at a loss had a price of $9.\nIt's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!!\n\n['A)0', 'B)Profit of $10', 'C)Loss of $25', 'D)Profit of $30', 'E)Loss of $35']", "role": "user", "uuid": "bb8c8f09-a478-46a9-b232-2c347679fc8d" }, { "content": "A packet sold at a 10% loss had a price of $9, thus the cost of a packet is $10.\n100 packets was sold at a 5% profit --> gives profit of 10*0.05*100 = $50.\n50 packets was sold at a 10% loss --> gives loss of 10*0.1*50 = $50.\nThe overall loss is $50 - $50 = $0.\nAnswer: A.", "role": "assistant", "uuid": "9bed1d21-95db-404d-bee9-86a458097ec5" } ]

{ "coherence": 3.23, "complexity": 1.38, "correctness": 2.7, "helpfulness": 2.64, "instruction-following": 2.84, "safety": 2.62, "verbosity": 1.05, "verbosity-coeff": -0.1203 }

[ { "content": "A boat running downstream covers a distance of 16 km in 4 hours while for covering the same distance upstream,it takes 8 hours.What is the speed of the boat in still water ?\n\n['A)3 km/hr', 'B)6 km/hr', 'C)8 km/hr', 'D)Data inadequate', 'E)None of these']", "role": "user", "uuid": "8c745255-8eee-4af0-81fc-eff682d180fc" }, { "content": "Solution\nRate downstream =(16/4) kmph = 4 kmph, Rate upstream =(16/8) = 2 kmph.\n∴ Speed in still water =1/2(4+2) kmph = 3 kmph.\nAnswer A", "role": "assistant", "uuid": "72e107a9-e51a-4cd8-bc42-668213afe93f" } ]

{ "coherence": 3.07, "complexity": 1.37, "correctness": 2.8, "helpfulness": 2.8, "instruction-following": 4.01, "safety": 5.87, "verbosity": 1.16, "verbosity-coeff": -0.1103 }

[ { "content": "A customer pays 50 dollars for a coffee maker after a discount of 20 dollars\nWhat is the original price of the coffe maker?\n\n['A)70', 'B)80', 'C)90', 'D)50', 'E)60']", "role": "user", "uuid": "3586596d-919e-4a36-9820-e18fd2b38bb7" }, { "content": "Solution\nLet x be the original price.\nx - 20 = 50\nx - 20 + 20 = 50 + 20\nx + 0 = 70\nx = 70\nAnswer A", "role": "assistant", "uuid": "fe4514f4-f09a-45f7-8041-5405a129d0a5" } ]

{ "coherence": 3.11, "complexity": 0.98, "correctness": 2.61, "helpfulness": 2.96, "instruction-following": 3.41, "safety": 4.5, "verbosity": 1.08, "verbosity-coeff": -0.109 }

[ { "content": "A and B partner in a business. A contribute 1/4 of the capital for 15 months and B received 2/3 of the profit. For how long B's money was used?\n\n['A)5 months', 'B)10 months', 'C)8 months', 'D)12 months', 'E)7 months']", "role": "user", "uuid": "528dfaf0-70d9-46bd-9c02-4da552b68faa" }, { "content": "B received 2/3 of the profit.\nThen A received remaining 1/3 of the profit.\n=> A : B =1/3:2/3=1:2\nLet the total capital =x\nThen A's capital =x4\nB's capital =x–x/4=3x/4\nAssume B's money was used for b months\nThen A:B =x/4×15:3x/4×b\n⇒15x/4:3bx/4=1:2\n⇒15:3b=1:2\n⇒5:b=1:2\n⇒5×2=1×b\n⇒b=10\nAnswer is B.", "role": "assistant", "uuid": "e5919bc2-dcdd-4d16-8051-5cead62fd3ea" } ]

{ "coherence": 2.92, "complexity": 1.62, "correctness": 2.61, "helpfulness": 2.8, "instruction-following": 3.41, "safety": 5.32, "verbosity": 1.05, "verbosity-coeff": -0.1347 }

[ { "content": "There are two positive numbers in the ratio 7:11. If the larger number exceeds the smaller by 16, then find the smaller number?\n\n['A)25', 'B)26', 'C)30', 'D)24', 'E)28']", "role": "user", "uuid": "adfd5a31-2009-480c-9735-739834d863b4" }, { "content": "Let the two positive numbers be 7x and 11x respectively.\n11x - 7x = 16\n4x = 16 => x = 4\n=> Smaller number = 7x = 28.\nAnswer: E", "role": "assistant", "uuid": "63379603-3951-4b30-b6d6-1f17e9ddd2f2" } ]

{ "coherence": 3.11, "complexity": 1.32, "correctness": 2.76, "helpfulness": 2.98, "instruction-following": 3.72, "safety": 4.32, "verbosity": 0.71, "verbosity-coeff": -0.1375 }

[ { "content": "Twenty years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :\n\n['A)120', 'B)76', 'C)108', 'D)105', 'E)86']", "role": "user", "uuid": "f5e40ecc-ca65-48e0-b9d6-438581e193b8" }, { "content": "Let the present ages of the father and son be 2x and x years respectively.\nthen,(2x-20)=3 (x-20)\nx=40.\nRequired sum =(2x+x)=3x=120 years.\nAnswer is A", "role": "assistant", "uuid": "7f58c3f7-954c-4971-8a09-604756cec1e9" } ]

{ "coherence": 3.25, "complexity": 1.63, "correctness": 2.74, "helpfulness": 2.8, "instruction-following": 3.09, "safety": 5.12, "verbosity": 1.18, "verbosity-coeff": -0.1292 }

[ { "content": "The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 18%?\n\n['A)37.5%', 'B)48%', 'C)50.5%', 'D)28.125%', 'E)56%']", "role": "user", "uuid": "cfb9a2e7-8935-4694-8414-084cc4161289" }, { "content": "Explanation:\nLet marked price = Rs. 100.\nThen, C.P. = RS. 64, S.P. = Rs. 82\nGain % = 18/64 * 100 = 28.125%.\nAnswer: Option D", "role": "assistant", "uuid": "6aec1233-6f41-4dd2-851f-8395bb659deb" } ]

{ "coherence": 2.72, "complexity": 1.52, "correctness": 2.7, "helpfulness": 2.76, "instruction-following": 3.41, "safety": 5.48, "verbosity": 1.16, "verbosity-coeff": -0.1125 }

[ { "content": "a,b and c are positive integers less than or equal to 9. If a,b and c are assembled into the six-digit number abcabc, which of the following must be a factor of abcabc?\n\n['A)7', 'B)9', 'C)11', 'D)3', 'E)none of these']", "role": "user", "uuid": "a41a0c9b-f1f3-484f-99e3-5271b5f50e02" }, { "content": "The sum of the digits in place 1,3 and 5 is a+c+b is equal to the sum of the digits in place 2,4 and 6 which is b+a+c. thus the number abcabc is divisible by 11. thus 11 must be a factor of abcabc.\nAnswer: C", "role": "assistant", "uuid": "46089617-d89c-4573-84f5-38f4079bc916" } ]

{ "coherence": 2.78, "complexity": 2.25, "correctness": 2.23, "helpfulness": 2.18, "instruction-following": 2.86, "safety": 5.2, "verbosity": 1.42, "verbosity-coeff": -0.2128 }

[ { "content": "Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 72 seconds. The length of each train is:\n\n['A)82m', 'B)50m', 'C)72m', 'D)100m', 'E)None of these']", "role": "user", "uuid": "2c52ecfd-bf3f-4db3-9d69-bd83759fd1fc" }, { "content": "Explanation:\nThe relative speed of train is 46-36 = 10 Km/hr = (10 X 5) / 18 = 25/9 m/s10×518=259m/s\nIn 72 secs the total distance traveled is 72x25/9 = 200 m.\nTherefore the length of each train is = 200/2 = 100 m.\nAnswer D", "role": "assistant", "uuid": "ae674021-36ab-48b9-85d2-5a87a4ab623f" } ]

{ "coherence": 2.76, "complexity": 1.65, "correctness": 2.59, "helpfulness": 2.57, "instruction-following": 3.86, "safety": 3.74, "verbosity": 0.87, "verbosity-coeff": -0.1112 }

[ { "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)40', 'C)80', 'D)100', 'E)200']", "role": "user", "uuid": "c6416bee-3957-4a22-8038-518569ec4eff" }, { "content": "Let the number of students in rooms A and B be x and y respectively.\nThen, x - 10 = y + 10\nx - y = 20 .... (i)\nand x + 20 = 2(y - 20)\nx - 2y = -60 .... (ii)\nSolving (i) and (ii) we get: x = 100 , y = 80.\nThe required answer A = 100.\nanswer :D", "role": "assistant", "uuid": "d02d80b0-8151-49f6-b977-044c11421fa3" } ]

{ "coherence": 2.96, "complexity": 1.44, "correctness": 2.23, "helpfulness": 2.35, "instruction-following": 3.21, "safety": 5.12, "verbosity": 0.91, "verbosity-coeff": -0.1107 }

[ { "content": "A certain sum of money is divided among A, B and C so that for each Rs. A has 80 paisa, B has 65 paisa and C 40 paisa. If C's share is Rs.40, find the sum of money?\n\n['A)Rs.185', 'B)Rs.410', 'C)Rs.285', 'D)Rs.385', 'E)Rs.475']", "role": "user", "uuid": "5eeff7d8-f4d2-435b-aad0-bc1fbd6dbe1c" }, { "content": "A:B:C = 80:65:40\n= 16:13:8\n8 ---- 40\n37 ---- ? => Rs.185\nANSWER:A", "role": "assistant", "uuid": "3f0e2ed2-f543-4bcd-9fca-6ae3fab907c5" } ]

{ "coherence": 2.51, "complexity": 1.76, "correctness": 1.79, "helpfulness": 2.14, "instruction-following": 2.64, "safety": 5.16, "verbosity": 0.94, "verbosity-coeff": -0.1252 }

[ { "content": "A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 5 m, the volume of the box (in m3) is:\n\n['A)4940', 'B)5120', 'C)6420', 'D)8960', 'E)7960']", "role": "user", "uuid": "dcfe4983-0f9a-4f6f-9334-d7ff96fd12d7" }, { "content": "Clearly, l = (48 - 10)m = 38 m,\nb = (36 -10)m = 26 m,\nh = 8 m.\nVolume of the box = (38 x 26 x 5) m3 = 4940 m3. Answer: Option A", "role": "assistant", "uuid": "dcb053b4-de0e-47b3-b21e-14ff0b4f9983" } ]

{ "coherence": 2.82, "complexity": 1.86, "correctness": 2.68, "helpfulness": 2.76, "instruction-following": 3.46, "safety": 5.83, "verbosity": 1.09, "verbosity-coeff": -0.1291 }

[ { "content": "The cricket team of 11members is 24yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?\n\n['A)21', 'B)22', 'C)23', 'D)25', 'E)28']", "role": "user", "uuid": "a611e1c1-fc4a-4cfe-b8fe-67b2685b610e" }, { "content": "Let the average age of the whole team be x years.\n11x - (24 + 27) = 9 (x - 1)\n=> 11x - 9x = 42\n=> 2x = 42\n=> x = 21.\nSo, average age of the team is 21 years.\nA", "role": "assistant", "uuid": "0e949e72-9655-44d7-8c6b-cf8eacaebfaf" } ]

{ "coherence": 3.45, "complexity": 1.95, "correctness": 2.82, "helpfulness": 2.94, "instruction-following": 3.84, "safety": 5.05, "verbosity": 1.83, "verbosity-coeff": -0.1179 }

[ { "content": "Two cars start from the opposite places of a main road, 113 km apart. First car runs for 25 km and takes a right turn and then runs 15 km. It then turns left and then runs for another 25 km and then takes the direction back to reach the main road. In the mean time, due to minor break down the other car has run only 35 km along the main road. What would be the distance between two cars at this point?\n\n['A)65', 'B)38', 'C)20', 'D)28', 'E)21']", "role": "user", "uuid": "00d26179-0977-4ce1-9090-64db6124bb45" }, { "content": "Answer: D) 28 km", "role": "assistant", "uuid": "7e1489e8-969f-446b-97c3-a34dd52bc1b9" } ]

{ "coherence": 2.76, "complexity": 0.33, "correctness": 1.67, "helpfulness": 1.83, "instruction-following": 2.14, "safety": 5.28, "verbosity": 0.48, "verbosity-coeff": -0.1309 }

[ { "content": "An elephant fell into a wall of depth 20mts.Everyday it climbs 4mts but at the end falls by 2mts.Find the number of days it would take for the elephant to get out of the wall\n\n['A)7 days', 'B)9 days', 'C)8 days', 'D)10 days', 'E)11 days']", "role": "user", "uuid": "a7744776-b07c-47a7-84ca-80822a4b9386" }, { "content": "4-2=2\n2*8=16\n16(8 days)+4(9th day)=20\n8+1 =9 days\nANSWER:B", "role": "assistant", "uuid": "0b143364-0796-45de-b8cd-af6afd1ba04a" } ]

{ "coherence": 2.29, "complexity": 0.87, "correctness": 1.73, "helpfulness": 1.96, "instruction-following": 2.82, "safety": 6.26, "verbosity": 0.6, "verbosity-coeff": -0.1198 }

[ { "content": "A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%\n\n['A)4 kg', 'B)5 kg', 'C)8 kg', 'D)30 kg', 'E)7 kg']", "role": "user", "uuid": "e4834361-f9d4-452e-8870-c0039f297bde" }, { "content": "Water in the given mixture = 10*20/100 =2 kg,\nAnd spirit = (20-2) = 18 kg\nLet x kg of water added, Then, x+2/20+x *100 ==25\n4x+8 =20+x, or x =4 kg\nANSWER:A", "role": "assistant", "uuid": "31df8441-c748-406b-9c52-d35f5d6056c5" } ]

{ "coherence": 2.7, "complexity": 2.02, "correctness": 1.77, "helpfulness": 1.89, "instruction-following": 2.82, "safety": 5.71, "verbosity": 1.53, "verbosity-coeff": -0.1123 }

[ { "content": "How many cubes of 8cm edge can be cut out of a cube of 16cm edge\n\n['A)36', 'B)2', 'C)8', 'D)48', 'E)None of these']", "role": "user", "uuid": "1035be03-1809-4cc5-ba45-2360bfab4867" }, { "content": "Explanation:\nnumber of cubes=(16 x 16 x 16) / (8 x 8 x 8) = 8\nAnswer: C", "role": "assistant", "uuid": "ef7dd090-962e-45a1-b114-fbecb443567a" } ]

{ "coherence": 2.84, "complexity": 1.58, "correctness": 2.37, "helpfulness": 2.53, "instruction-following": 3.39, "safety": 4.89, "verbosity": 0.61, "verbosity-coeff": -0.0807 }

[ { "content": "In Jessica's opinion, her weight is greater than 65 kg but less than 72 kg. Her brother doest not agree with Jessica and he thinks that Jessica's weight is greater than 60 kg but less than 70 kg. Her mother's view is that her weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Jessica?\n\n['A)67 kg.', 'B)68 kg.', 'C)69 kg.', 'D)Data inadequate', 'E)None of these']", "role": "user", "uuid": "1df3a633-a3ba-4554-bb8c-3df63ef098c9" }, { "content": "Explanation: Let Jessica's weight by X kg.\nAccording to Jessica, 65 < X < 72\nAccording to Jessica's brother, 60 < X < 70.\nAccording to Jessica's mohter, X <= 68\nThe values satisfying all the above conditions are 66, 67 and 68.\nRequired average= (66+67+68 /3) = (201 /3) = 67kg\nAnswer: Option A", "role": "assistant", "uuid": "f14aa266-c84c-488c-8753-16354467fd64" } ]

{ "coherence": 3.56, "complexity": 1.54, "correctness": 2.96, "helpfulness": 3.27, "instruction-following": 3.56, "safety": 5.44, "verbosity": 1.12, "verbosity-coeff": -0.1264 }

[ { "content": "The market value of a certain machine decreased by 20 percent of its purchase price each year. If the machine was purchased in 1982 for its market value of $8,000, what was its market value two years later?\n\n['A) $8,000', 'B) $5,600', 'C) $3,200', 'D) $2,400', 'E) $4,800']", "role": "user", "uuid": "9e5fa9fc-af9f-4da8-9b28-e10e64514613" }, { "content": "E.\nMarket value in 1982= $ 8000\nMarket value in 1983 = $ 8000- ($ 8000 x 20/100) = 8000-1600= $ 6400\nMarket value in 1984 = Market value in 1983 - (20 % of $8000)= 6400-1600 = $4800", "role": "assistant", "uuid": "2b883ea1-459e-4062-9104-fbd611be6039" } ]

{ "coherence": 2.9, "complexity": 1.3, "correctness": 2.2, "helpfulness": 2.31, "instruction-following": 2.21, "safety": 4.58, "verbosity": 0.93, "verbosity-coeff": -0.1801 }

[ { "content": "How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?\n\n['A)192', 'B)122', 'C)140', 'D)242', 'E)None']", "role": "user", "uuid": "9dae6f93-dfec-4761-8adc-35a2fa61fda8" }, { "content": "Solution\nFor the number to be divisible by 4, the last two digits must be any of 12, 24, 16, 64, 32, 36, 56 and 52. The last two digit places can be filled in 8 ways. Remaining 3 places in 4P3 ways.\nHence no. of 5 digit nos. which are divisible by 4 are 24 × 8 = 192\nAnswer A", "role": "assistant", "uuid": "b31fa8fa-752f-48c0-bc93-8dde853969e9" } ]

{ "coherence": 2.76, "complexity": 1.9, "correctness": 2.47, "helpfulness": 2.49, "instruction-following": 2.64, "safety": 4.77, "verbosity": 1.33, "verbosity-coeff": -0.1371 }

[ { "content": "A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 70 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?\n\n['A)j/59', 'B)7j/500', 'C)140j', 'D)j/100+40', 'E)140j/100']", "role": "user", "uuid": "e60107a7-5a8e-482e-a22f-7479cddfaf4b" }, { "content": "lets take j=1000, as decided by you..\nnow 70% increase makes it 1700..\nthis is the price for 100 jackets, so selling price for each jacket=1700/100=$17..\nso ans is correct as A..", "role": "assistant", "uuid": "e97683bf-5608-4808-9d22-baf434d45f96" } ]

{ "coherence": 2.41, "complexity": 1.44, "correctness": 1.28, "helpfulness": 1.34, "instruction-following": 0.52, "safety": 4.44, "verbosity": 0.76, "verbosity-coeff": -0.1913 }

[ { "content": "How many words can be formed by using all letters of the word ‘DAUGHTER’ so that the vowels always come together?\n\n['A)1214', 'B)4320', 'C)1254', 'D)3265', 'E)4512']", "role": "user", "uuid": "de99dfd4-3d25-4026-9a0f-9e55c1285c31" }, { "content": "Given word contains 8 different letters. When the vowels AUE are always together, we may suppose them to form an entity, treated as one letter.\nThen, the letters to be arranged are DGNTR (AUE).\nThen 6 letters to be arranged in 6p6 = 6! = 720 ways.\nThe vowels in the group (AUE) may be arranged in 3! = 6 ways.\nRequired number of words = (720x6) = 4320.\nAns: B", "role": "assistant", "uuid": "c515a0d5-28dd-4d06-9923-fc7c0e0b4ac7" } ]

{ "coherence": 2.66, "complexity": 1.82, "correctness": 2.47, "helpfulness": 2.62, "instruction-following": 3.78, "safety": 5.52, "verbosity": 1.55, "verbosity-coeff": -0.11 }

[ { "content": "In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability that the worker is under 25 years old?\n\n['A)0.3', 'B)0.25', 'C)0.45', 'D)0.7', 'E)0.9']", "role": "user", "uuid": "5599eb8e-af54-4cff-90a5-3b56b33b52dc" }, { "content": "Percentage of male worker = 48\nPercentage of female worker = 52\nLet total number of workers = 1000\nnumber of male workers= 480\nnumber of female workers = 520\nNumber of male age 25 or older = (4/10)*480 = 192\nNumber of female age 25 or older =(2/10)*520 = 104\nTotal number of workers 25 or older = 192+104 = 296\nTotal number of workers under 25 = 1000 - 296 = 704\nProbability that a worker randomly selected is under 25 years old = 704/1000 = .704\nAlternatively , since the answer options are not close , we can use estimation here .\nPercentage of male worker 25 or older = (4/10)*48 = 20 % approx\nPercentage of female worker 25 or older = (2/10)*52 = 10 % approx\nPercentage of total worker 25 or older = 30 %\nPercentage of total worker under 25 = 70 %\nProbability that a worker randomly selected is under 25 years old = .7\nAnswer D", "role": "assistant", "uuid": "ff435e78-1172-49ba-8652-25fc00218264" } ]

{ "coherence": 2.29, "complexity": 0.74, "correctness": 2, "helpfulness": 2.04, "instruction-following": 2.7, "safety": 5.01, "verbosity": 1.62, "verbosity-coeff": -0.1899 }

[ { "content": "The average of numbers 0.64205, 0.64203, 0.64202 and 0.64201 is ?\n\n['A)0.64202', 'B)0.64204', 'C)0.642022', 'D)0.642028', 'E)None']", "role": "user", "uuid": "4e3d9502-a0de-47c2-b4df-e06cac26b91f" }, { "content": "Answer\nAverage = (0.64205 + 0.64203 + 0.64202 + 0.64201)/ 4\n=2.56811/ 4\n=0.642028\nCorrect Option: D", "role": "assistant", "uuid": "feba9b48-578a-433e-be04-8f5b4532719b" } ]

{ "coherence": 2.33, "complexity": 1.44, "correctness": 1.76, "helpfulness": 1.88, "instruction-following": 3.33, "safety": 4.89, "verbosity": 1.15, "verbosity-coeff": -0.1177 }

[ { "content": "Carolina has 1 nickel and 5 pennies in her pocket. If she pulls 2 coins out of her pocket simultaneously and randomly, what is the probability that she will be holding exactly 6 cents?\n\n['A)1/3', 'B)4/15', 'C)5/6', 'D)6/10', 'E)2/15']", "role": "user", "uuid": "5ae536d7-6588-4556-801e-7ae6fbc9e99f" }, { "content": "The probability is equal to the number of desired choices divided by the total number of possibilities.\nProbability = Favorable/Total\nTotal = 6C2 = 6*5/2 = 15\nFavorable:\nPick 1 penny out of 5 pennies\nAND\nPick the 1 nickel\n5C1*1C1 = 5*1 = 5\nP = 5/15 = 1/3\nWhen you use combination method, it is picking all possible cases and the order doesn't matter. Whereas, upon choosing probability method to solve, order matters.\nThus,\nTotal Probability:\nProbability of choosing a penny first AND Probability of choosing the nickel\nOR\nProbability of choosing the nickel first AND Probability of choosing a penny\nAnswer: A", "role": "assistant", "uuid": "79a20d06-ed3a-4d51-8e17-874a76ff8554" } ]

{ "coherence": 3, "complexity": 1.3, "correctness": 2.61, "helpfulness": 2.7, "instruction-following": 3.11, "safety": 5.09, "verbosity": 1.56, "verbosity-coeff": -0.1653 }

[ { "content": "The first doughnut is priced at $1 and then if you purchase additional doughnuts as dozens then the price is $6/dozen. What is the total number of doughnuts purchased if you paid $25?\n\n['A)45', 'B)49', 'C)53', 'D)57', 'E)61']", "role": "user", "uuid": "8cbe0e55-c66f-473a-95fd-7205b87d1f30" }, { "content": "$25 = 4 * $6 + $1\nThe number of doughnuts is 4*12 + 1 = 49\nThe answer is B.", "role": "assistant", "uuid": "2e8d5df7-b614-4889-b504-6410bff00134" } ]

{ "coherence": 3.04, "complexity": 1.38, "correctness": 2.62, "helpfulness": 2.72, "instruction-following": 3.58, "safety": 4.81, "verbosity": 0.78, "verbosity-coeff": -0.112 }

[ { "content": "The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?\n\n['A)11.9', 'B)11.2', 'C)11.6', 'D)11.5', 'E)11.1']", "role": "user", "uuid": "212c8fd4-5487-4d17-abb3-eef6d219226c" }, { "content": "1 to 11 = 11 * 10.9 = 119.9\n1 to 6 = 6 * 10.5 = 63\n6 to 11 = 6 * 11.4 = 68.4\n63 + 68.4 = 131.4 – 119.9 = 11.5\n6th number = 11.5\nAnswer: D", "role": "assistant", "uuid": "c91dcd62-fdf4-4e27-95dd-f2c1532bf377" } ]

{ "coherence": 3.04, "complexity": 1.17, "correctness": 2.35, "helpfulness": 2.84, "instruction-following": 3.39, "safety": 5.48, "verbosity": 0.75, "verbosity-coeff": -0.1091 }

[ { "content": "A train 630 m long, running with a speed of 63 km/hr will pass a tree in?\n\n['A)35', 'B)36', 'C)37', 'D)38', 'E)39']", "role": "user", "uuid": "2d928539-3154-4ecc-b313-852163a54dc8" }, { "content": "Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 630 * 2/35 = 36 sec\nAnswer: Option B", "role": "assistant", "uuid": "e1e1d446-d462-43a8-9404-ad68622f07f5" } ]

{ "coherence": 2.74, "complexity": 1.58, "correctness": 2.88, "helpfulness": 2.88, "instruction-following": 3.84, "safety": 5.32, "verbosity": 1.22, "verbosity-coeff": -0.116 }

[ { "content": "A tennis championship is played on a knock-out basis, i.e., a player is out of the tournament when he loses a match.\n(a) How many players participate in the tournament if 15 matches are totally played?\n(b) How many matches are played in the tournament if 50 players totally participate?\n\n['A)15,49', 'B)16,49', 'C)16,48', 'D)16,47', 'E)None of these']", "role": "user", "uuid": "91838cb9-8d74-45a4-ac9b-ef80e27832c2" }, { "content": "(a) u don’t need to sum it up. since it’s a knock out only 1 person emerges winner finally. so15+1=16 is answer.because after15 matches finally we shud’ve 15 losers and 1winner.\n(b) 49:its always one less than no of players as per the idea given above.so no need to check okay cos its always true.ans is 49\nAnswer B", "role": "assistant", "uuid": "2d721967-1b26-470f-b5a9-46134515cfe1" } ]

{ "coherence": 2.43, "complexity": 1.49, "correctness": 2.27, "helpfulness": 2.31, "instruction-following": 2.8, "safety": 5.52, "verbosity": 1.38, "verbosity-coeff": -0.1455 }

[ { "content": "The sum of 2 consecutive numbers is definitely:\n\n['A)is odd', 'B)Divisible by 2.', 'C)Divisible by 3.', 'D)Divisible by 4.', 'E)Divisible by 5.']", "role": "user", "uuid": "fdbafd7f-0214-47ea-a2a7-7c4bdee2c434" }, { "content": "If 1st term is x:\nx+(x+1)=2x+1--->is odd\nIf 2nd term is x:\n(x-1)+x=2x-1 --->is odd\nAnswer: A", "role": "assistant", "uuid": "ff342506-9c00-4be5-9361-9751d9dc9c32" } ]

{ "coherence": 2.74, "complexity": 1.8, "correctness": 2.27, "helpfulness": 2.53, "instruction-following": 2.23, "safety": 5.16, "verbosity": 1.31, "verbosity-coeff": -0.1291 }

[ { "content": "A shopkeeper loses 15%,if an article is sold for Rs. 136. What should be the selling price of the article to gain 20%?\n\n['A)s.147', 'B)s.148', 'C)s.144', 'D)s.189', 'E)s.192']", "role": "user", "uuid": "64a86385-51fc-4d02-aa0c-3dd7b297868c" }, { "content": "Given that SP = Rs. 136 and loss = 15%\nCP = [100(SP)]/(100 - l%) = (100 * 136)/85 = Rs. 160.\nTo get 20% profit, New SP = [(100 + p%)CP]/100\n= (160 * 120)/100\n= Rs.192\nAnswer:E", "role": "assistant", "uuid": "013c6ce7-998c-41b3-8b24-2215456d8334" } ]

{ "coherence": 2.94, "complexity": 1.87, "correctness": 2.35, "helpfulness": 2.61, "instruction-following": 3.64, "safety": 4.29, "verbosity": 1.58, "verbosity-coeff": -0.1184 }

[ { "content": "What is x if x + 2y = 100 and y = 25?\n\n['A)25', 'B)50', 'C)75', 'D)100', 'E)4']", "role": "user", "uuid": "c2e77803-6f0e-42ea-8b23-21d858aaafea" }, { "content": "Substitute y by 25 in x + 2y = 100\nx + 2(25) = 100\nx + 50 = 100\nIf we substitute x by 50 in x + 50 = 100, we have 50 + 50 = 100. Hence\nx = 50 correct answer B", "role": "assistant", "uuid": "24d9cb01-9990-40a0-a909-53d49597052f" } ]

{ "coherence": 3.35, "complexity": 2.1, "correctness": 3.23, "helpfulness": 3.29, "instruction-following": 3.78, "safety": 4.62, "verbosity": 1.73, "verbosity-coeff": -0.102 }

[ { "content": "A person crosses a 300 m long street in 4 minutes. What is his speed in km per hour?\n\n['A)1.6', 'B)4.5', 'C)8.2', 'D)6.5', 'E)2.9']", "role": "user", "uuid": "0391d08d-4191-4421-be91-24e795b3c313" }, { "content": "distance = 300 meter\ntime = 4 minutes = 4 x 60 seconds = 240 seconds\nSpeed = distance/time=300/240=1.25 m/s=1.25×18/5 km/hr=4.5 km/hr\nAnswer :B", "role": "assistant", "uuid": "3b8383e6-cba4-4d26-98d0-618122e549f3" } ]

{ "coherence": 2.84, "complexity": 1.61, "correctness": 2.45, "helpfulness": 2.62, "instruction-following": 3.31, "safety": 5.32, "verbosity": 1.05, "verbosity-coeff": -0.1149 }

[ { "content": "Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?\n\n['A)388', 'B)3769', 'C)8782', 'D)828', 'E)271']", "role": "user", "uuid": "0a26aee5-b788-422f-9b78-904e4be8194a" }, { "content": "Let the parts be x, y and [2379 - (x + y)]\nx + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)\n11x/10 = 23y/20 = 6z/5 = k\nx = 10k/11, y = 20k/23, z = 5k/6\nBut x + y + z = 2379\n10k/11 + 20k/23 + 5k/6 = 2379\nk = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5\nx = [10/11 * (3 * 11 * 23 * 6)/5] = 828\nHence, the first part is Rs. 828.\nAnswer: D", "role": "assistant", "uuid": "dee7ea6b-2cca-41c3-9cab-4fab20afbbf8" } ]

{ "coherence": 2.74, "complexity": 1.58, "correctness": 1.79, "helpfulness": 2.08, "instruction-following": 3.11, "safety": 5.24, "verbosity": 1.13, "verbosity-coeff": -0.1147 }

[ { "content": "Lisa is 10 yaers older than Joey. If the sum of their age is 40 , what is the age of Joey?\n\n['A)15 years', 'B)25 years', 'C)10 years', 'D)20 yaers', 'E)5 years']", "role": "user", "uuid": "0a36b010-bda8-49cb-9610-1e7bc627199a" }, { "content": "Let Joey's age be x.\nx + x + 10 = 40\nx = 15\nHence Joey's age is 15 years\nAnswer : A", "role": "assistant", "uuid": "0fad10a6-ba69-4b3f-a831-d3083f805a44" } ]

{ "coherence": 3.23, "complexity": 1.24, "correctness": 2.72, "helpfulness": 3.07, "instruction-following": 3.88, "safety": 4.89, "verbosity": 0.77, "verbosity-coeff": -0.1197 }

[ { "content": "Five years back, a father was 36 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?\n\n['A)15 years', 'B)14 years', 'C)13 years', 'D)12 years', 'E)11 years']", "role": "user", "uuid": "3dcecd28-db3c-4622-8bbc-7f172c2b8353" }, { "content": "Using linear equations to convert the word problem:\n** F = fathers current ageS = sons current age\n#1 Five years back, a father was 36 years older than his son: F-5 = 30 + (S - 5)\n#2 At present the father is 5 times as old as the son: F = 5*S\nHow old will the son be three years from now?: S + 3 = ?\nWith two variables and two linear equations we are able to solve the problem:\n(S*5) - 5 = 36 +S -5\n4S=36\nS = 9\nS + 3 = 9 + 3 = 12\nAnswer: D", "role": "assistant", "uuid": "1d3c49cd-58ac-4e7b-a514-9ee167cac4e5" } ]

{ "coherence": 2.53, "complexity": 1.16, "correctness": 1.87, "helpfulness": 2.12, "instruction-following": 2.84, "safety": 5.55, "verbosity": 0.44, "verbosity-coeff": -0.1408 }

[ { "content": "Set #1 = {A, B, C}\nSet #2 = {K, L, M, N, O, P}\nThere are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?\n\n['A)1/6', 'B)1/3', 'C)4/9', 'D)2/3', 'E)5/6']", "role": "user", "uuid": "a50865ea-262a-46b2-b6d8-5621e42ef3bb" }, { "content": "So Not a vowel in Set-1 : 2/3\nAnd not a vowel in Ser-2:5/6\nNow,\n2/3∗5/6=5/9\nThis is for not a vowel.\nThen for at least one vowel will be = 1−5/9=4/9\nAnswer will be C.", "role": "assistant", "uuid": "d3c6b634-d6f8-4c43-91ca-4f23e2d1d979" } ]

{ "coherence": 2.9, "complexity": 2.25, "correctness": 2.98, "helpfulness": 2.8, "instruction-following": 3.04, "safety": 5.36, "verbosity": 1.56, "verbosity-coeff": -0.1003 }

[ { "content": "A train 700 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?\n\n['A)510', 'B)540', 'C)500', 'D)520', 'E)600']", "role": "user", "uuid": "8255a0a0-39dd-4b03-bc0c-7a2dbd4e8810" }, { "content": "Speed = 78 * 5/18 = 65/3 m/sec.\nTime = 1 min = 60 sec.\nLet the length of the train be x meters.\nThen, (700 + x)/60 = 65/3\nx = 600 m.\nAnswer: Option E", "role": "assistant", "uuid": "84f92dd7-6077-469a-96e5-32a2f51eb297" } ]

{ "coherence": 2.37, "complexity": 1.8, "correctness": 1.73, "helpfulness": 1.97, "instruction-following": 2.59, "safety": 5.59, "verbosity": 1.16, "verbosity-coeff": -0.1187 }

[ { "content": "The cross-section of a cannel is a trapezium in shape. If the cannel is 12 m wide at the top and 8 m wide at the bottom and the area of cross-section is 690 sq m, the depth of cannel is?\n\n['A)39', 'B)28', 'C)27', 'D)69', 'E)71']", "role": "user", "uuid": "d4448dd5-f3cc-476b-97fe-ae3e02129933" }, { "content": "1/2 * d (12 + 8) = 690\nd = 69\nAnswer: D", "role": "assistant", "uuid": "20e5be59-a39f-4c45-b859-8aead7c3d7b9" } ]

{ "coherence": 2.84, "complexity": 1.34, "correctness": 2.14, "helpfulness": 2.51, "instruction-following": 3.25, "safety": 6.41, "verbosity": 0.53, "verbosity-coeff": -0.1059 }

[ { "content": "If 5^k + 5^k = (5^9)^(5^9) - 5^k, then k = ?\n\n['A) 5^11 - 1', 'B) 11/2', 'C) 242', 'D) 3^10', 'E) 3^11 - 1']", "role": "user", "uuid": "a4fae392-d39a-4bd0-9fd5-7da13683e436" }, { "content": "5^k + 5^k = (5^9)^5^9 - 5^k\n5*(5^k) = 5 ^ (25 * 5^9 ) = 5^(5^2 * 5^9) = 5^(5^11)\n5^k+1 = 5^(5^11)\nSo k+1 = 5^11\nSo k = 5^11 -1\nAnswer is A", "role": "assistant", "uuid": "fa629a18-08bc-4c17-9ad3-ccbab57fbb96" } ]

{ "coherence": 2.76, "complexity": 2.43, "correctness": 1.87, "helpfulness": 1.92, "instruction-following": 1.98, "safety": 5.01, "verbosity": 1.42, "verbosity-coeff": -0.1274 }

[ { "content": "If sushi rows 27 km upstream and 81 km down steam taking 9 hours each, then the speed of the stream\n\n['A)12 kmph', 'B)13 kmph', 'C)22 kmph', 'D)20 kmph', 'E)15 kmph']", "role": "user", "uuid": "f1de551d-6bed-4556-aabe-ab7fdc54cfb1" }, { "content": "Speed upstream = 27/9 = 3 kmph\nSpeed down stream = 81/3 = 27 kmph\nSpeed of stream = ½ (27-3) = 12 kmph\nANSWER:A", "role": "assistant", "uuid": "e3c07251-ebd7-48c8-8fde-f390da0d3249" } ]

{ "coherence": 3.13, "complexity": 1.56, "correctness": 2.86, "helpfulness": 2.88, "instruction-following": 3.17, "safety": 3.8, "verbosity": 0.97, "verbosity-coeff": -0.12 }

[ { "content": "102 × 102 + 98 × 98 = ?\n\n['A)20018', 'B)20028', 'C)20108', 'D)10008', 'E)20008']", "role": "user", "uuid": "af45bae6-b0fa-4524-a339-22d54dfe5ccf" }, { "content": "Explanation :\n(a + b)2 + (a − b)2 = 2(a2 + b2)\n(Reference : Basic Algebraic Formulas)\n1022 + 982 = (100 + 2)2 + (100 − 2)2 = 2(1002 + 22) = 2(10000 + 4) = 20008. Answer : Option E", "role": "assistant", "uuid": "ca9133ba-8265-40ad-bf8c-8948f608abd3" } ]

{ "coherence": 2.61, "complexity": 1.88, "correctness": 2.74, "helpfulness": 2.59, "instruction-following": 3.21, "safety": 4.29, "verbosity": 1.51, "verbosity-coeff": -0.105 }

[ { "content": "A train 550 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)30', 'B)60', 'C)25', 'D)40', 'E)10']", "role": "user", "uuid": "91ea7fc8-10a1-4e14-a288-cbd748ea992f" }, { "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 = [550 * 3/55] sec = 30 sec\nAnswer: A", "role": "assistant", "uuid": "635d9c50-3fe4-4e0c-8d95-8f5194533509" } ]

{ "coherence": 2.98, "complexity": 1.76, "correctness": 2.64, "helpfulness": 2.96, "instruction-following": 3.97, "safety": 5.48, "verbosity": 1.39, "verbosity-coeff": -0.1236 }

[ { "content": "A box contains 8 pairs of shoes (16 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?\n\n['A)1/190', 'B)1/20', 'C)1/19', 'D)1/10', 'E)1/15']", "role": "user", "uuid": "b58d694b-c478-4201-af01-fc5a36a95532" }, { "content": "The problem with your solution is that we don't choose 1 shoe from 16, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/15(as after taking one at random there are 15 shoes left and only one is the pair of the first one)=1/15\nAnswer: E.", "role": "assistant", "uuid": "f0d0d194-6f09-4198-a43a-783e14d090bb" } ]

{ "coherence": 2.86, "complexity": 1.26, "correctness": 2.47, "helpfulness": 2.47, "instruction-following": 2.47, "safety": 5.05, "verbosity": 1.19, "verbosity-coeff": -0.1183 }

[ { "content": "Tim and Tom are workers in a department that has a total of 9 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?\n\n['A)1/35', 'B)1/34', 'C)1/33', 'D)1/36', 'E)1/37']", "role": "user", "uuid": "4c1ea4aa-10d4-4d02-9e58-dabec8bc2474" }, { "content": "Probability = 2c2/9c2\n= 1/36\nAnswer D", "role": "assistant", "uuid": "1d4700c8-d499-406f-bbc1-ce34216c6a73" } ]

{ "coherence": 3.02, "complexity": 0.9, "correctness": 2.98, "helpfulness": 3.02, "instruction-following": 3.41, "safety": 5.44, "verbosity": 1.22, "verbosity-coeff": -0.1575 }

[ { "content": "The ratio of 3 seconds to 30 hours\n\n['A)1:80', 'B)1:36000', 'C)1:600', 'D)1:400', 'E)1:500']", "role": "user", "uuid": "4f8603cc-4f90-415e-bc77-2ba1fbda2b04" }, { "content": "1 hour =3600 sec\nthen 30 hours =30*3600=108000\nso ,3:108000=1:36000\nANSWER:B", "role": "assistant", "uuid": "7e8c01b3-c311-4bba-a639-3e70f1b0f501" } ]

{ "coherence": 2.92, "complexity": 1.48, "correctness": 3.09, "helpfulness": 3.13, "instruction-following": 3.72, "safety": 4.85, "verbosity": 1.46, "verbosity-coeff": -0.1008 }

[ { "content": "If x and y are prime numbers such that x > y > 1, then x^2 − y^2 must be divisible by which one of the following numbers?\n\n['A) 3', 'B) 4', 'C) 5', 'D) 9', 'E) 12']", "role": "user", "uuid": "e1c6c661-bfe9-4a0c-a19a-25afc52f9ba9" }, { "content": "If x=3 and y=2, then x^2-y^2=5 and 5 is divisible only by 5 from the options, thus it must be correct.\nAnswer: C.", "role": "assistant", "uuid": "1ae3f238-7bb8-4310-81dd-d575d601bf1a" } ]

{ "coherence": 3.13, "complexity": 1.92, "correctness": 2.41, "helpfulness": 2.39, "instruction-following": 2.61, "safety": 5.28, "verbosity": 1.08, "verbosity-coeff": -0.2273 }

[ { "content": "A train 120 m long crosses a platform 220 m long in 20 sec; find the speed of the train?\n\n['A)87 kmph', 'B)65 kmph', 'C)54 kmph', 'D)61 kmph', 'E)18 kmph']", "role": "user", "uuid": "d14e73d2-172b-497d-abb6-c30a850c6449" }, { "content": "D = 120 + 220 = 340\nT = 20\nS = 340/20 * 18/5 = 61 kmph\nAnswer:D", "role": "assistant", "uuid": "0551578c-f25f-4fc2-89bb-d7e3df317ff9" } ]

{ "coherence": 2.74, "complexity": 1.44, "correctness": 2.47, "helpfulness": 2.57, "instruction-following": 3.66, "safety": 4.73, "verbosity": 0.94, "verbosity-coeff": -0.1137 }

[ { "content": "Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism?\n\n['A)252', 'B)269', 'C)273', 'D)920', 'E)1911']", "role": "user", "uuid": "47a41760-4a68-45c7-872d-bf1c77e98776" }, { "content": "One easy way to get the answer for this question is just multiply the unit's digits of these three numbers, i.e (1*9*1 = 9) (Why the multiplication is needed?, you can see the solution suggested by Bunuel in the above post)\nNow look out for the answer whose square gives us a 9 in the unit place.\nSo, it is easy to pic (C) 273 whose square will give us a 9 in the unit place( 3*3), and hence this is the answer.", "role": "assistant", "uuid": "73652586-aa5e-4aad-be82-82cfc8a7c4a1" } ]

{ "coherence": 2.25, "complexity": 1.53, "correctness": 1.64, "helpfulness": 1.59, "instruction-following": 1.67, "safety": 5.05, "verbosity": 0.86, "verbosity-coeff": -0.2257 }

[ { "content": "Find the unit's digit in 264^102+264^103\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)5']", "role": "user", "uuid": "f11122f7-0c54-4fb0-9b2b-e64e677bca3e" }, { "content": "Required unit's digit = unit's digit in 4102+4103.4102+4103.\nNow, 4242 gives unit digit 6.\n⇒ 41024102 gives unit digit 6.\n⇒ 41034103 gives unit digit of the product 6×46×4 i.e., 4.\nHence, unit's digit in 264102+264103264102+264103\n= unit's digit in (6+4)=0\nA", "role": "assistant", "uuid": "bd6db215-fb8a-4516-a59e-ddc6655c022f" } ]

{ "coherence": 2.55, "complexity": 2.18, "correctness": 1.96, "helpfulness": 1.9, "instruction-following": 2.27, "safety": 5.12, "verbosity": 1.46, "verbosity-coeff": -0.1861 }

[ { "content": "The area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is?\n\n['A)44', 'B)42', 'C)40', 'D)38', 'E)36']", "role": "user", "uuid": "97ff8f69-6bbd-4252-a810-4650daa795d0" }, { "content": "Isosceles trapezoid indicates that if we draw perpendicular from two vertex of the smaller side, the longer side with side 12 will be divided into 3 parts= 6, 3 and 3 (Making one square and two right triangles)\nFor the right triangle, height will be= (5^2-3^2)^1/2= 4\nAnd the area of trapezoid = 1/2 (B1+B2)H= 1/2*18*4= 36\nE", "role": "assistant", "uuid": "6bba0e4e-a847-447b-8ea6-45989ac80dc4" } ]

{ "coherence": 2.88, "complexity": 1.91, "correctness": 2.41, "helpfulness": 2.55, "instruction-following": 3.04, "safety": 5.09, "verbosity": 1.04, "verbosity-coeff": -0.1607 }

[ { "content": "What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 7), (x, 7)?\n\n['A)64', 'B)121', 'C)169', 'D)225', 'E)441']", "role": "user", "uuid": "9e41d2f9-e73e-4070-9317-977945d7989a" }, { "content": "To find the area of a square, knowing the length of one side is sufficient.\nFrom the coordinates given, we can see that one side equals 13.\nThe area is 13*13 = 169.\nThe answer is C.", "role": "assistant", "uuid": "f943b19c-ef56-4501-89ae-d95d472bf6eb" } ]

{ "coherence": 3.48, "complexity": 1.75, "correctness": 3.15, "helpfulness": 3.21, "instruction-following": 3.82, "safety": 5.59, "verbosity": 1.14, "verbosity-coeff": -0.1732 }

[ { "content": "350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees\n\n['A)10', 'B)12', 'C)14', 'D)16', 'E)17']", "role": "user", "uuid": "ff20369d-b4f4-47c8-a44a-8026af5a7baf" }, { "content": "26 trees have 25 gaps between them,\nRequired distance (350/25) = 14\nC", "role": "assistant", "uuid": "f40647c2-ecb7-4fda-ac1b-e9e5110d0be7" } ]

{ "coherence": 3.05, "complexity": 1.41, "correctness": 2.94, "helpfulness": 2.62, "instruction-following": 3.58, "safety": 5.4, "verbosity": 1.16, "verbosity-coeff": -0.1041 }

[ { "content": "Each student is given a five-character identification code. The first three characters are selected from the numbers 0 to 9 inclusive, and the last two characters are selected from the 26 letters of the alphabet. If characters may be repeated and the same characters used in a different order constitute a different code, how many different identification codes can be generated following these rules?\n\n['A)652,000', 'B)665,000', 'C)676,000', 'D)683,000', 'E)694,000']", "role": "user", "uuid": "3aecd428-c7b2-4331-bc49-03e61cf7a18e" }, { "content": "The number of possible codes is 10*10*10*26*26=26,000.\nThe answer is C.", "role": "assistant", "uuid": "810b2a57-3931-495e-b0b5-14738e0bef22" } ]

{ "coherence": 2.9, "complexity": 1.05, "correctness": 2.57, "helpfulness": 2.57, "instruction-following": 3.04, "safety": 4.38, "verbosity": 0.8, "verbosity-coeff": -0.2092 }

[ { "content": "Beginning in Town A, Biker Bob rides his bike 30 miles west, 6 miles north, 15 miles east, and then 18 miles north, to Town B. How far apart are Town A and Town B? (Ignore the curvature of the earth.)\n\n['A)27 miles', 'B)25 miles', 'C)24 miles', 'D)28.3 miles', 'E)23 miles']", "role": "user", "uuid": "4905631f-6897-4988-96ae-ad02ec14ccd4" }, { "content": "Using Pythagoras we have one side i,e total distance traveled in north direction = 18+6=24m\nother being the base ie distance traveled west- distance traveled eat=30-15=15 m\nnow this third side or the distance between town A and Town B=24^2+ 15^2=sq root 801=28.3m\nAnswer : D", "role": "assistant", "uuid": "2ca03e5d-24d6-410d-8daf-1bb6c6961a9e" } ]

{ "coherence": 2.86, "complexity": 1.13, "correctness": 2.18, "helpfulness": 2.2, "instruction-following": 3.29, "safety": 5.59, "verbosity": 1.62, "verbosity-coeff": -0.1551 }

[ { "content": "Find the next term in the given series -\n47, 94, 71, 142, 119, 238, . ?\n\n['A)331', 'B)360', 'C)320', 'D)340', 'E)215']", "role": "user", "uuid": "85baa983-ca5d-490b-9f2e-5e2ab205704a" }, { "content": "47+47=94 & 94-23=71\n71+71=142 & 142-23=119\n119+119=238, So 238-23=215\nANSWER:E", "role": "assistant", "uuid": "c676bb2c-4dc5-46a5-bbc8-150f2599fcd8" } ]

{ "coherence": 2.57, "complexity": 1.7, "correctness": 2.43, "helpfulness": 2.59, "instruction-following": 3.07, "safety": 4.4, "verbosity": 1.48, "verbosity-coeff": -0.1171 }

[ { "content": "A man buys s cycle for $100 and sells it at a loss of 10%. What is the selling price of the cycle?\n\n['A)$50', 'B)$60', 'C)$70', 'D)$80', 'E)$90']", "role": "user", "uuid": "50b7da72-4602-427e-b6f8-0ede56b801a4" }, { "content": "S.P. = 90% of the $100 = 90/100 * 100 = $90\nAnswer is E", "role": "assistant", "uuid": "47021e94-3d03-488a-9fa3-0dc42712bc70" } ]

{ "coherence": 2.94, "complexity": 0.53, "correctness": 2.45, "helpfulness": 2.7, "instruction-following": 3.19, "safety": 3.95, "verbosity": 0.89, "verbosity-coeff": -0.1327 }

[ { "content": "A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace or King or Queen?\n\n['A)7/13', 'B)9/13', 'C)3/13', 'D)4/13', 'E)5/13']", "role": "user", "uuid": "e8a6cdb4-0bc6-4db3-b384-2dedb72fc0c3" }, { "content": "Total number of cards = 52\nTotal number of Ace cards = 4\nP(Ace) = 4/52=1/13\nP(King) = 4/52=1/13\nP(Queen) = 4/52=1/13\nP(Ace or King or Queen) = P (Ace) + P (King)+ P(Queen)\n=1/13+1/13+1/13=3/13\nAnswer C", "role": "assistant", "uuid": "97f23acc-7349-41e0-bee0-47594ffe0a93" } ]

{ "coherence": 2.88, "complexity": 1.77, "correctness": 2.61, "helpfulness": 2.51, "instruction-following": 3.31, "safety": 4.38, "verbosity": 1.47, "verbosity-coeff": -0.1296 }

[ { "content": "In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?\n\n['A)720', 'B)864', 'C)900', 'D)936', 'E)1,296']", "role": "user", "uuid": "34442d34-6fc5-4bfe-8caf-4de88b0d26a4" }, { "content": "Total number of four letter passwords = 6*6*6*6= 1296 ------(1)\nTotal number of passwords in which no letter repeats = 6C4*4!= 15*24=360------(2)\ntherefore required value = (1)-(2)= 1296-360=936\nANSWER:D", "role": "assistant", "uuid": "c4ec692b-2445-426b-b3a4-f2f5a0464fd7" } ]

{ "coherence": 2.7, "complexity": 2.02, "correctness": 2.29, "helpfulness": 2.35, "instruction-following": 3.02, "safety": 4.77, "verbosity": 1.51, "verbosity-coeff": -0.2259 }

[ { "content": "If log\t(a/b)+log(b/a)\t= log (a + b), then:\n\n['A)a=b', 'B)a+b=0', 'C)a-b=1', 'D)a+b=1', 'E)a-b = 0']", "role": "user", "uuid": "3f423da0-ad63-498b-b37c-fef64da13d4a" }, { "content": "log(a/b)+ log(b/a)\t= log (a + b)\nlog (a + b) = log{(a/b)x(b/a)}\t= log 1.\nSo, a + b = 1.\nAnswer is D", "role": "assistant", "uuid": "4ef81466-040d-4c48-92ef-194ff1215dc5" } ]

{ "coherence": 2.98, "complexity": 2.1, "correctness": 2.2, "helpfulness": 2.31, "instruction-following": 2.37, "safety": 5.09, "verbosity": 0.7, "verbosity-coeff": -0.1343 }

[ { "content": "A bank offers 5% C.I. calculated on half-yearly basis . A customer deposits Rs. 1600 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is?\n\n['A)Rs.181', 'B)Rs.121', 'C)Rs.126', 'D)Rs.128', 'E)Rs.129']", "role": "user", "uuid": "4cbb1b9e-0726-4ac6-8146-6891721f6262" }, { "content": "Amount = [1600 * (1 + 5/(2 * 100)2 + 1600 * (1 + 5/(2 * 100)]\n= [1600 * 41/40(41/40 + 1)\n= [(1600 * 41 * 81)/(40 * 40)] = Rs. 3321.\nC.I. = 3321 - 3200 = Rs. 121.\nAnswer: B", "role": "assistant", "uuid": "da87ea4d-a3a6-4b04-a12e-f845ec72b51a" } ]

{ "coherence": 2.72, "complexity": 1.71, "correctness": 2.12, "helpfulness": 2.39, "instruction-following": 3.35, "safety": 4.44, "verbosity": 1.54, "verbosity-coeff": -0.1185 }

[ { "content": "30 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?\n\n['A)14.4', 'B)120', 'C)50.4', 'D)60', 'E)90']", "role": "user", "uuid": "e7201cfb-f817-41b7-a04e-94c93c9418af" }, { "content": "30% of Area of the floor = 4*9 square feet = 36 square feet\ni.e. 100% Area of Floor = (36/30)*100 = 120 square feet\nAnswer: Option B", "role": "assistant", "uuid": "b20ad419-c306-4d42-8d7d-f6b59e8107ab" } ]

{ "coherence": 2.8, "complexity": 1.47, "correctness": 2.7, "helpfulness": 3.05, "instruction-following": 3.5, "safety": 5.55, "verbosity": 0.65, "verbosity-coeff": -0.1761 }

[ { "content": "Mary sold boxes of butter cookies. Ann sold 5 times as much as she did. 18 boxes of cookies were sold that day, how many boxes did Mary sell?\n\n['A)3', 'B)5', 'C)6', 'D)10', 'E)18']", "role": "user", "uuid": "159ad817-7a69-4a08-b127-40f40fb9eda5" }, { "content": "# of boxes of cookies Mary sold = x\nAnn sold 5 times more = 5x\nx + 5x = 18\n6x = 18\nx = 18/6 = 3\nANSWER: A", "role": "assistant", "uuid": "f4229302-06ff-4a6b-8915-22e57c6d1cff" } ]

{ "coherence": 3.13, "complexity": 1.82, "correctness": 2.82, "helpfulness": 3.19, "instruction-following": 3.68, "safety": 3.89, "verbosity": 1.15, "verbosity-coeff": -0.1139 }

[ { "content": "If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 30 men in 3 days?\n\n['A)65mtr.', 'B)84mtr', 'C)70mtr.', 'D)78mtr.', 'E)17mtr.']", "role": "user", "uuid": "a6a44ff3-18e4-40a2-8492-ae8ce9fbca37" }, { "content": "20 men is 6 days can build 112 metres\n30 men in 3 days can build = 112*(30/20)x(3/6)\n= 84 meters\nAnswer: B.", "role": "assistant", "uuid": "dd168b85-e6ea-491f-8ca7-b2862df81ee5" } ]

{ "coherence": 3.07, "complexity": 1.11, "correctness": 2.41, "helpfulness": 2.53, "instruction-following": 3.09, "safety": 5.44, "verbosity": 0.44, "verbosity-coeff": -0.1028 }

[ { "content": "what is the sum of the first 20 odd natural numbers\n\n['A)300', 'B)400', 'C)500', 'D)600', 'E)700']", "role": "user", "uuid": "92fc9f5c-9f80-4aeb-b208-5a6cf9019e77" }, { "content": "sum of first n odd natural nuber is = n^2\nso sum of the first 20 odd natural numbers=(20)^2=400\nans 400\nANSWER:B", "role": "assistant", "uuid": "56b4d321-8e29-46e1-91cc-a89adfc14d6e" } ]

{ "coherence": 2.84, "complexity": 1.94, "correctness": 3.07, "helpfulness": 3.05, "instruction-following": 3.56, "safety": 4.21, "verbosity": 2.06, "verbosity-coeff": -0.0963 }

[ { "content": "The “c-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^c, where c is the c-number of the result of his die roll, and plots 3^c on a number line as the point A. Finally, he repeats this entire process, this time plotting the result as the point B. What is the probability that the distance between A and B is greater than the value of B?\n\n['A) 3/8', 'B) 13/36', 'C) 17/36', 'D) 19/36', 'E) 23/36']", "role": "user", "uuid": "af1910df-a12b-4496-af43-1b51a56d6e70" }, { "content": "If you calculate 3^c for 1st roll, all 6 results will be 9, 81, 6561, 729, 9, 81. This result is the same for 2nd roll. 9, 81, 6561, 729, 9, 81.\nAbout distance: If the first result is 9 and the second is also 9, the distance is 9-9=0 which is smaller than 9. If the first result is 9 and the second is 81, the distance is 81-9=72 which is also smaller than B which has the value of 81. If the first result is 81 and the second is 9, the distance will be greater than B. Distance 81-9=72>9.\nOn the first roll, the probability of getting result 9 is 2/6. In this case no other alternative values for second roll which would make the distance greater than B. So probability is 0. So next estimations are:\nprobability of getting 81 on the first roll (2/6) * probability of getting 9 on the second roll (2/6) = 1/9\nprobability of getting 729 on the first roll (1/6) * probability of getting 9, 81 on the second roll (4/6) = 1/9\nprobability of getting 6561 on the first roll (1/6) * probability of getting 9, 81, 729 on the first roll (5/6) = 5/36\nAll together: 1/9 + 1/9 + 5/36 = 13/36=B", "role": "assistant", "uuid": "c016c723-0709-4984-9235-ca97b8a1824d" } ]

{ "coherence": 2.49, "complexity": 1.74, "correctness": 1.81, "helpfulness": 1.86, "instruction-following": 1.7, "safety": 4.15, "verbosity": 1.38, "verbosity-coeff": -0.1707 }

[ { "content": "After decreasing 24% in the price of an article costs Rs.988. Find the actual cost of an article?\n\n['A)1667', 'B)6789', 'C)1300', 'D)6151', 'E)1421']", "role": "user", "uuid": "a04a89f2-5f86-469f-ad2f-d5b411ec864f" }, { "content": "CP* (76/100)\n= 988\nCP= 13 * 100 => CP\n= 1300\nAnswer: C", "role": "assistant", "uuid": "70f9fbdf-2b94-4f2a-9a21-c06ca13ef7ec" } ]

{ "coherence": 2.88, "complexity": 1.17, "correctness": 2.39, "helpfulness": 2.66, "instruction-following": 3.64, "safety": 6.3, "verbosity": 0.33, "verbosity-coeff": -0.1175 }

[ { "content": "How many positive integers less than 9,000 are there in which the sum of the digits equals 5?\n\n['A)56', 'B)57', 'C)58', 'D)59', 'E)60']", "role": "user", "uuid": "09cca8c5-10ad-42ce-97a5-6996103c97ac" }, { "content": "Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.\nLet X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).\nSo, for example:\nXX|X|X|X = 2111\n||XXX|XX = 0032\netc.\nThere are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.\nA", "role": "assistant", "uuid": "662c5bad-4ce1-4d0f-86f3-7d2cf21b0bcf" } ]

{ "coherence": 2.57, "complexity": 1.79, "correctness": 2.12, "helpfulness": 1.93, "instruction-following": 2.31, "safety": 4.4, "verbosity": 1.54, "verbosity-coeff": -0.2579 }

[ { "content": "A person took some amount with some interest for 7 years, but increase the interest for 1%, he paid Rs.700/- extra, then how much amount he took?\n\n['A)Rs.5500/-', 'B)Rs.6000/-', 'C)Rs.4000/-', 'D)Rs.7000/-', 'E)None of these']", "role": "user", "uuid": "e380fe3b-dfb0-469e-9695-b9ec2aef38b1" }, { "content": "Explanation:\r7 years = Rs.700/-\ryear = 700/7\rRate of Interest = 1%\r100/1% × 700/7 = Rs.1000/-\rP = Rs.1000/- Answer: Option E", "role": "assistant", "uuid": "c43bcc63-e036-4152-9e64-c47287e4282a" } ]

{ "coherence": 2.12, "complexity": 1.11, "correctness": 1.67, "helpfulness": 1.73, "instruction-following": 2.18, "safety": 4.21, "verbosity": 0.77, "verbosity-coeff": -0.0993 }

[ { "content": "An article when sold at a gain of 5% yields Rs. 15 more than when sold at a loss of 5%. The cost price of the article is:\n\n['A)Rs. 200', 'B)Rs. 150', 'C)Rs. 80', 'D)Rs. 64', 'E)None of these']", "role": "user", "uuid": "dc2be0dd-88a7-4c8b-a53b-8ccf650f53b9" }, { "content": "10/100 × x = 15 ⇒ x=150\nAs the loss and profit both are earned on the cost price.\nAnswer: B", "role": "assistant", "uuid": "79ea63f0-3b92-4ac6-b9ea-1394f9f07e69" } ]

{ "coherence": 2.7, "complexity": 1.34, "correctness": 1.98, "helpfulness": 2.25, "instruction-following": 2.78, "safety": 4.73, "verbosity": 0.63, "verbosity-coeff": -0.1198 }

[ { "content": "A gambler bought $3,000 worth of chips at a casino in denominations of $30 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $30 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?\n\n['A)$2,040', 'B)$2,120', 'C)$1,960', 'D)$1,920', 'E)$2,030']", "role": "user", "uuid": "dc160b13-4c3f-4992-aab4-e90296ec95d1" }, { "content": "In order to maximize the amount of money that the gambler kept, we should maximize # of $30 chips lost and minimize # of $100 chips lost, which means that # of $30 chips lost must be 2 more than # of $100 chips lost.\nSo, if # of $30 chips lost is x then # of $100 chips lost should be x-2. Now, given that total # of chips lost is 16: x+x-2=16 --> x=9: 9 $30 chips were lost and 9-2=7 $100 chips were lost.\nTotal worth of chips lost is 9*30+7*100=$970, so the gambler kept $3,000-$970=$2,030.\nAnswer: E", "role": "assistant", "uuid": "8e57a119-9d23-470c-9782-36e515c1865e" } ]

{ "coherence": 2.98, "complexity": 0.78, "correctness": 2.33, "helpfulness": 2.61, "instruction-following": 3.13, "safety": 3.88, "verbosity": 0.81, "verbosity-coeff": -0.1836 }

[ { "content": "Find the odd man out 17, 39, 171, 347\n\n['A)18', 'B)18', 'C)83', 'D)82', 'E)39']", "role": "user", "uuid": "1261363d-9f3a-408e-8cfe-930740b454ac" }, { "content": "6 x 2+5=17\n17 x 2+5=39\n39 x 2+5=83\n83 x 2+5=171\nANSWER:C", "role": "assistant", "uuid": "5907aee0-31b7-4b84-9ddf-3131f9ac58bf" } ]

{ "coherence": 2.16, "complexity": 1.31, "correctness": 1.44, "helpfulness": 1.57, "instruction-following": 1.9, "safety": 3.39, "verbosity": 0.72, "verbosity-coeff": -0.0807 }

[ { "content": "12 different biology books and 8 different chemistry books lie on a shelf. In how many ways can a student pick 2 books of each type?\n\n['A)80', 'B)160', 'C)720', 'D)1600', 'E)1848']", "role": "user", "uuid": "3acbbb2d-a7e1-4a5f-8325-52160d241541" }, { "content": "No. of ways of picking 2 biology books(from 12 books) = 12C2 = (12*11)/2 = 66\nNo. of ways of picking 2 chemistry books(from 8 books) = 8c2 = (8*7)/2 = 28\nTotal ways of picking 2 books of each type = 66*28 =1848\n(Option E)", "role": "assistant", "uuid": "0fcc6a25-07eb-4a46-b386-4f723f2b08c5" } ]

{ "coherence": 3.17, "complexity": 1.57, "correctness": 2.76, "helpfulness": 2.86, "instruction-following": 3.52, "safety": 5.09, "verbosity": 1.22, "verbosity-coeff": -0.1779 }

[ { "content": "An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?\n\n['A)4/9', 'B)4/3', 'C)4/1', 'D)6/9', 'E)2/9']", "role": "user", "uuid": "6d449ea1-a030-4de7-b572-5b531ff2e6f5" }, { "content": "2/3 ---- 12\n? ----- 8 ==> 4/9\nAnswer: A", "role": "assistant", "uuid": "24a16f7e-73f1-4c04-963a-16e447645acd" } ]

{ "coherence": 2.92, "complexity": 0.86, "correctness": 2.61, "helpfulness": 2.82, "instruction-following": 3.58, "safety": 5.83, "verbosity": 0.64, "verbosity-coeff": -0.1139 }

[ { "content": "A & B partner in a business , A contribute 1/4 of the capital for 15 months & B received 2/3 of the profit . For how long B's money was used\n\n['A)12 months', 'B)10 months', 'C)14 months', 'D)16 months', 'E)None of these']", "role": "user", "uuid": "8495e27f-05da-43fe-83d9-046caeb45c4f" }, { "content": "Explanation :\nB received 2/3 of the profit\n=> A : B = 1 : 2\nLet the total capital = x\nThen A's capital = x/4\nB's capital = x – x/4 = 3x/4\nAssume B's money was used for b months\nThen A:B = (x/4)*15 : (3x/4)*b = 1 : 2\n=> 15/4 : 3b/4 = 1 : 2\n=> 15 : 3b = 1 : 2\n=> 5 : b = 1 : 2\n=> 5/b = 1/ 2\n=> b = 5*2 = 10. Answer : Option B", "role": "assistant", "uuid": "7822e229-2bd0-40fb-b7de-96a81618069a" } ]

{ "coherence": 2.9, "complexity": 1.61, "correctness": 2.76, "helpfulness": 3, "instruction-following": 3.04, "safety": 5.91, "verbosity": 0.75, "verbosity-coeff": -0.1026 }

[ { "content": "A local bank that has 9 branches uses a two-digit code to represent each of its branches. The same integer can be used for both digits of a code, and a pair of two-digit numbers that are the reverse of each other (such as 17 and 71) are considered as two separate codes. What is the fewest number of different integers required for the 9 codes?\n\n['A)9 codes 3 integers', 'B)4', 'C)5', 'D)6', 'E)7']", "role": "user", "uuid": "96563e3e-c563-4f82-a599-983b7af67077" }, { "content": "Pick any two integer.\nIntegers: 12\nCode: 11, 12, 21, 22 = 4 Codes\nAdd one more integer: 3\n13, 31, 33, 23, 32 = 5 Codes\nTotal = 9 Codes.. Answer: A", "role": "assistant", "uuid": "39954c5d-635a-4b2b-a759-3116bb499f30" } ]

{ "coherence": 2.35, "complexity": 1.29, "correctness": 1.83, "helpfulness": 2.06, "instruction-following": 2, "safety": 5.67, "verbosity": 0.96, "verbosity-coeff": -0.2418 }

[ { "content": "Harkamal purchased 3 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?\n\n['A)A)700', 'B)B)1065', 'C)C)1070', 'D)D)1075', 'E)E)1080']", "role": "user", "uuid": "51ee188d-7b09-4f09-81be-29827ab9b0e9" }, { "content": "Cost of 3 kg grapes = 70 × 3 = 210.\nCost of 9 kg of mangoes = 55 × 9 = 490.\nTotal cost he has to pay = 210 + 490 = 700\nA", "role": "assistant", "uuid": "3d5464e4-0a98-425a-b04a-4230709ea92c" } ]

{ "coherence": 2.86, "complexity": 1.09, "correctness": 1.78, "helpfulness": 2.18, "instruction-following": 2.98, "safety": 5.28, "verbosity": 0.91, "verbosity-coeff": -0.1203 }

[ { "content": "Diana can buy watches at a price of M dollars per watch, which she marks up by a certain percentage before selling. If she makes a total profit of T by selling N watches, then in terms of M and T and N, what is the percent of the markup from her buy price to her sell price?\n\n['A)100-N/T', 'B)NMT/100', 'C)N-M/100T', 'D)100T/(NM)', 'E)NM/100T']", "role": "user", "uuid": "bfe9f94f-b664-4c19-830d-f7af18bc3da3" }, { "content": "Algebraic Solution:If she makes a total profit of T for N watches, then that must be a profit of T/N for each watch. That must be the markup above cost on each watch, the amount of the increase. Well, percent increase = (amount of increase)/(starting amount) x 100% = (T/N)/M *100 = 100T/(NM)\nAnswer : D", "role": "assistant", "uuid": "a67d42f5-379c-47a1-a80f-641e4e575b6f" } ]

{ "coherence": 2.94, "complexity": 2.55, "correctness": 2.76, "helpfulness": 2.78, "instruction-following": 3.48, "safety": 4.77, "verbosity": 1.6, "verbosity-coeff": -0.2182 }

[ { "content": "If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?\n\n['A)5 : 3', 'B)2 : 6', 'C)5 : 6', 'D)6 : 4', 'E)2 : 5']", "role": "user", "uuid": "eecb3086-d8db-417b-930f-1e45d0f16336" }, { "content": "Let 40% of A =(2/3)B\nThen,40A/100=2B/3\n2A/5=2B/3\nA/B =(2/3 x 5/2) = 5/3\nA : B = 5 : 3.\nANSWER A", "role": "assistant", "uuid": "76d5237e-6cd7-4fea-bb1f-f7ab5f5b6fa7" } ]

{ "coherence": 2.64, "complexity": 1.97, "correctness": 2.06, "helpfulness": 2.23, "instruction-following": 3.31, "safety": 4.54, "verbosity": 1.35, "verbosity-coeff": -0.1585 }

[ { "content": "Look at this series: 36, 34, 30, 28, ..., ... What numbers should come next?\n\n['A)29,27', 'B)32,30', 'C)22,20', 'D)24,22', 'E)10,9']", "role": "user", "uuid": "58a305cc-9cca-446f-8982-7cbdc52ff09c" }, { "content": "This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on.\n36-2 = 34\n34-4 = 30\n30-2 = 28\n28-4 = 24\n24-2 = 22\nAnswer is D", "role": "assistant", "uuid": "007931ba-ec1c-4195-bf29-9c97d5dd0f00" } ]

{ "coherence": 2.27, "complexity": 0.99, "correctness": 2.33, "helpfulness": 2.2, "instruction-following": 2.92, "safety": 4.46, "verbosity": 1.37, "verbosity-coeff": -0.1136 }

[ { "content": "What percent of 6.3 kg is 25 gms ?\n\n['A)39', 'B)66', 'C)288', 'D)19', 'E)17']", "role": "user", "uuid": "6264ed88-d3fd-4920-80ae-60ce4bc299b8" }, { "content": "Explanation:\nRequired percentage = (25/63000 * 100)% = 39/100% = 0.39%\nAnswer: A) .39%", "role": "assistant", "uuid": "b9353967-807e-4560-8575-1640a91574c4" } ]

{ "coherence": 3, "complexity": 1.45, "correctness": 2.31, "helpfulness": 2.51, "instruction-following": 2.57, "safety": 3.91, "verbosity": 0.79, "verbosity-coeff": -0.0994 }

[ { "content": "The sum of three consecutive integers is 93. What are the integers?\n\n['A)20,21,22', 'B)10,11,12', 'C)30,31,32', 'D)40,41,42', 'E)30,31,32']", "role": "user", "uuid": "160a061a-fe6b-45be-87f0-a301321ef0e7" }, { "content": "First x Make the first number x\nSecond x+1 To get the next numberwe go up one or+1\nThird x+2 Add another 1(2 total) to get the third\nF +S +T =93 First (F) plus Second (S) plusThird (T) equals 93\n(x)+(x+1)+(x+2)=93 Replace F with x, S with x+1, and T with x+2\nx+x+1+x+2=93 Here the parenthesis aren′t needed.\n3x+3=93 Combine like terms x+x+x and 2+1\n−3 −3 Add 3 to both sides\n3x=90 The variable ismultiplied by 3\n3 3 Divide both sides by 3\nx=30 Our solution for x\nFirst 30 Replace x in our origional listwith 30\nSecond (30)+1=31 The numbers are 30, 31, and 32\nThird (30)+2=32\ncorrect answer E", "role": "assistant", "uuid": "28719131-6d4a-4532-9ab6-5c7cc25f84f3" } ]

{ "coherence": 1.97, "complexity": 1.62, "correctness": 1.79, "helpfulness": 1.69, "instruction-following": 3.29, "safety": 3.64, "verbosity": 1.03, "verbosity-coeff": -0.1798 }

[ { "content": "The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?\n\n['A)150', 'B)882', 'C)277', 'D)261', 'E)281']", "role": "user", "uuid": "95b0d658-7d5c-42e5-ba82-9d3abdbc277e" }, { "content": "5x + 12x + 13x = 300 => x = 10\na = 50, b = 120, c = 130\nS = (50 + 120 + 130)/2 = 150\nAnswer: A", "role": "assistant", "uuid": "cc4ee2d8-cada-4496-8feb-c30981bb54eb" } ]

{ "coherence": 3.07, "complexity": 1.45, "correctness": 2.74, "helpfulness": 2.98, "instruction-following": 3.72, "safety": 5.67, "verbosity": 0.9, "verbosity-coeff": -0.1163 }

[ { "content": "A teacher gave the same test to three history classes: D, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?\n\n['A)74', 'B)75', 'C)76', 'D)77', 'E)78']", "role": "user", "uuid": "dd623477-e440-47aa-b4d7-c630bf267fbf" }, { "content": "Ans : B (75)\nlets say class D indeed has 4 children, B has 6 children and C has 5 children.\nnow, if the average of class D is 65, hence total marks awarded in the class = 65*4=260\nSimilarly,\nclass B = 80*6 = 480\nclass C = 77*5 = 385\ntotal marks provided = D+B+C = 260+480+385 = 1125\navg. marks = 1125 / 15 (total no. of students) = 75=B", "role": "assistant", "uuid": "118c925e-aa0c-463f-b9e1-188e576be3ed" } ]

{ "coherence": 3.09, "complexity": 1.59, "correctness": 2.92, "helpfulness": 2.98, "instruction-following": 3.33, "safety": 5.36, "verbosity": 1.63, "verbosity-coeff": -0.2071 }

[ { "content": "The area of a square is 4225 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.\n\n['A)5:28', 'B)5:19', 'C)5:12', 'D)5:13', 'E)41:130']", "role": "user", "uuid": "238db8bf-68f1-4e10-b2c9-09d96fdb930d" }, { "content": "Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm.\na2 = 4225\na = 65\nL = 2a and b = a - 24\nb : l = a - 24 : 2a = 41 : 130\nAnswer:E", "role": "assistant", "uuid": "42e3516d-c197-4369-89f6-6df1cd591707" } ]

{ "coherence": 3.25, "complexity": 1.48, "correctness": 2.68, "helpfulness": 2.9, "instruction-following": 3.68, "safety": 5.36, "verbosity": 0.77, "verbosity-coeff": -0.1225 }

[ { "content": "Vinay spends 30% of his salary on house rent and 55% of the remaining money on food and clothes. He saves the remaining amount. If he saves ?59724 yearly, how much amount does he spend on food and clothes per month ?\n\n['A)5316', 'B)4792', 'C)5817', 'D)6080', 'E)6083']", "role": "user", "uuid": "738baf87-667b-4cce-8dde-52fd3310cd8b" }, { "content": "Let his monthly salary be x.\nHouse rent expenditure = 30/100 x = 3x/10\n∴ Remaining = 7x/10\nExpense of food = 7x/10 x 55/100 = 77x/200\n∴ Remaining = 7x/10 - 77x/200\n= 140x - 77x/200 = 63x/200\nMonthly saving = 59724/12 = 4977\n∴ 63x/200 = 4977 = x = 4977 x 200/63 = 15800\nExpenditure on food and clothes = 77x/200\n= 6083", "role": "assistant", "uuid": "557f3d1f-0acc-4769-9f10-c7a4c9cd349a" } ]

{ "coherence": 2.35, "complexity": 0.92, "correctness": 1.57, "helpfulness": 1.96, "instruction-following": 2.2, "safety": 4.38, "verbosity": 0.99, "verbosity-coeff": -0.1163 }

[ { "content": "A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:\n\n['A)100 m', 'B)125 m', 'C)130 m', 'D)150 m', 'E)160 m']", "role": "user", "uuid": "00a442d7-8fa3-4855-8db9-24e8a2f85872" }, { "content": "Explanation:\nLet the length of the train be x meters and its speed be y m/sec.\nThey, x / y = 15 => y = x/15\nx + 100 / 25 = x / 15\nx = 150 m.\nANSWER IS D", "role": "assistant", "uuid": "05438937-0dc7-409c-b70c-6a1d715ad473" } ]

{ "coherence": 2.78, "complexity": 2.25, "correctness": 2.49, "helpfulness": 2.53, "instruction-following": 3.31, "safety": 5.16, "verbosity": 1.45, "verbosity-coeff": -0.1142 }

[ { "content": "6x − 12 = 6y\n5y + 5x = 5\nWhich of the following is the number of solutions to the system of equations shown above?\n\n['A)More than three', 'B)Exactly three', 'C)Exactly two', 'D)Exactly one', 'E)None']", "role": "user", "uuid": "f36de395-24be-40f4-89b7-3210d4877626" }, { "content": "6x − 12 = 6y\n=> 6x - 6y = 12\n=> x- y =2 -- 1\n5y + 5x = 5\n=>x + y = 1 -- 2\nFrom equation 1 and 2 , we get\n2x = 3\n=> x=1.5\ny=-0.5\nTherefore , the given system will have Exactly one solution\nD", "role": "assistant", "uuid": "eb40ec10-e5cf-4e04-9def-30c6d3143a16" } ]

{ "coherence": 2.98, "complexity": 1.94, "correctness": 2.39, "helpfulness": 2.45, "instruction-following": 2.74, "safety": 4.97, "verbosity": 1.59, "verbosity-coeff": -0.1247 }

[ { "content": "The value of x is to be randomly selected from the integers from 1 to 9, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative?\n\n['A)1/9', 'B)2/9', 'C)1/3', 'D)4/9', 'E)1/2']", "role": "user", "uuid": "d0f447e0-ded6-4880-b71f-a46409661a7b" }, { "content": "y will only be negative for x=2.\n(We can check the values from 1 to 9 to be certain.)\nP(y is negative) = 1/9\nThe answer is A.", "role": "assistant", "uuid": "3e720287-d3b3-40f1-b0fb-e76b749c40a7" } ]

{ "coherence": 3.05, "complexity": 1.65, "correctness": 2.33, "helpfulness": 2.25, "instruction-following": 2.84, "safety": 4.89, "verbosity": 1.35, "verbosity-coeff": -0.1834 }

[ { "content": "What is 10-8+6-4+...+(-16)?\n\n['A) 8', 'B) 10', 'C) 12', 'D) 14', 'E) 16']", "role": "user", "uuid": "2381871e-ad3a-43ec-a56e-f43d2221a5ea" }, { "content": "The expression considers all even numbers between 10 and -16 with alternate addition and subtraction of the numbers.\nThe numbers to be used are: 10, 8, 6, 4, 2, 0, -2, -4, -6, -8, -10, -12, -14, and -16.\nNow, the first term is positive and the next term is subtracted. So, the required expression becomes,\n10 - 8 + 6 - 4 + 2 - 0 + (-2) - (-4) + (-6) - (-8) + (-10) - (-12) + (-14) - (-16)\n= 10 - 8 + 6 - 4 + 2 - 0 - 2 + 4 - 6 + 8 - 10 + 12 - 14 + 16\n= 58 - 44\n= 14\nHence the correct answer choice is D.", "role": "assistant", "uuid": "67fca063-5bdb-4a24-9928-68b7b2f9c5cc" } ]

{ "coherence": 3, "complexity": 1.67, "correctness": 2.51, "helpfulness": 2.49, "instruction-following": 3.17, "safety": 5.01, "verbosity": 1.61, "verbosity-coeff": -0.1495 }

[ { "content": "The calendar of the year 2040 can be used again in the year?\n\n['A)2063', 'B)2061', 'C)2111', 'D)2191', 'E)2068']", "role": "user", "uuid": "df3840b0-5d41-451b-84b4-44f336c229f7" }, { "content": "Explanation:\nGiven year 2040 when divided by 4, leaves a remainder 0.\nNOTE: When remainder is 0, 28 is added to the given year to get the result.\nSo, 2040 + 28 = 2068\nAnswer: E", "role": "assistant", "uuid": "7f7a6d28-f996-471b-abbc-d9434be7cc17" } ]

{ "coherence": 2.78, "complexity": 1.65, "correctness": 2.35, "helpfulness": 2.49, "instruction-following": 3.11, "safety": 5.52, "verbosity": 1.19, "verbosity-coeff": -0.0896 }

[ { "content": "If Yury has been writing programming code for 12 hours at a rate of 5 lines of code per 20 seconds, how many lines of code has he written?\n\n['A)126(10^2)', 'B)126(10^3)', 'C)12.6(10^5)', 'D)108(10^2)', 'E).126(10^9)']", "role": "user", "uuid": "71c7d0e3-7479-439d-9f3c-5ea16946e1d7" }, { "content": "5 LINES IN 20 SECONDS\nSO FOR 1 MINUTE ( 5 X 3 = 15 LINES )\nI HOUR = 60 MINUTES\n15 X 60 = 900 LINES IN AN HOUR\n12 HOURS = 900 X 12 = 108(10^2)\nANSWER D", "role": "assistant", "uuid": "afda38a7-57c0-4665-9c20-e2f3b58cd961" } ]

{ "coherence": 2.55, "complexity": 1.33, "correctness": 2.29, "helpfulness": 2.35, "instruction-following": 2.1, "safety": 4.73, "verbosity": 0.92, "verbosity-coeff": -0.1077 }

[ { "content": "A dealer purchased an book at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?\n\n['A)79%', 'B)88%', 'C)100%', 'D)94%', 'E)103%']", "role": "user", "uuid": "7c2f8bb3-f6bf-4bd8-aa0e-2adb0ba99a57" }, { "content": "C\n100%\nMP = 100\nCP = 75\nSP = 150\n------\n75 ---- 75\n100 ---- ? => 100%", "role": "assistant", "uuid": "c42898fe-9f37-4abd-bb8d-0a46bf3fd8b6" } ]

{ "coherence": 3.27, "complexity": 2.37, "correctness": 2.51, "helpfulness": 2.64, "instruction-following": 2.68, "safety": 5.01, "verbosity": 1.38, "verbosity-coeff": -0.1134 }

[ { "content": "Four people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:\n\n['A)7/8', 'B)1/8', 'C)1/3', 'D)1/7', 'E)1/9']", "role": "user", "uuid": "1b6d8363-e0e3-4971-bfb7-474551c8005b" }, { "content": "Original share of 1 person =1/4\nNew share of 1 person =1/3\nIncrease =1/3 -\t1/4\t=1/12\nRequired fraction =\t(1/12)/(1/4)\t=1/3\nAnswer is C.", "role": "assistant", "uuid": "afd314cf-9b88-4681-b1a7-29f7b0965c66" } ]

{ "coherence": 2.82, "complexity": 1.49, "correctness": 2.2, "helpfulness": 2.21, "instruction-following": 2.21, "safety": 6.14, "verbosity": 0.82, "verbosity-coeff": -0.1821 }

[ { "content": "Bilal and Ahmed play the following game with n sticks on a table. Each must remove 1,2,3,4, or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If Bilal goes first, which of the following is a value of n such that Ahmed can always win no matter how Bilal plays?\n\n['A)7', 'B)10', 'C)11', 'D)12', 'E)16']", "role": "user", "uuid": "0e9dfce5-2963-441a-b63f-5cee29c47d8e" }, { "content": "If the number of sticks on a table is a multiple of 6, then the second player will win in any case (well if the player is smart enough).\nConsider n=6, no matter how many stick will be removed by the first player (1, 2, 3 ,4 or 5), the rest (5, 4, 3, 2, or 1) can be removed by the second one.\nThe same for n=12: no matter how many sticks will be removed by the first player 1, 2, 3 ,4 or 5, the second one can remove 5, 4, 3, 2, or 1 so that to leave 6 sticks on the table and we are back to the case we discussed above.\nAnswer: D.", "role": "assistant", "uuid": "c532f062-6ee9-490c-85a7-726fe7960c96" } ]

{ "coherence": 2.94, "complexity": 1.37, "correctness": 2.29, "helpfulness": 2.29, "instruction-following": 2.18, "safety": 5.09, "verbosity": 1.16, "verbosity-coeff": -0.2367 }

[ { "content": "Valentine day 14 Feb. 2005 was celebrated by Anand and shilpa on Tuesday. They were very happy. What day of the week would come on 14 Feb. 2010?\n\n['A)monday', 'B)tuesday', 'C)sunday', 'D)wednesday', 'E)thursday']", "role": "user", "uuid": "2df3af2b-ace6-4fed-83eb-8a0b0478f11d" }, { "content": "feb 14 2005 - tuesday\nfeb 14 2006 - wednesday\nfeb 14 2007 - thursday\nfeb 14 2008 - friday\nfeb 14 2009 - sunday[since 2008 is leap year , 2 days ll go forward]\nfeb 14 2010 - monday\nANSWER:A", "role": "assistant", "uuid": "b7e5d2e9-ab7e-467f-a585-314c524e29df" } ]

{ "coherence": 3, "complexity": 0.96, "correctness": 2.53, "helpfulness": 2.64, "instruction-following": 3.13, "safety": 5.01, "verbosity": 1.35, "verbosity-coeff": -0.1212 }

[ { "content": "If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\n\n['A)22 1/8 %', 'B)22 3/2 %', 'C)28 1/2 %', 'D)22 1/2 %', 'E)32 1/2 %']", "role": "user", "uuid": "dde41aa7-bbf5-4464-82e7-d4b8c026a513" }, { "content": "9 = (1*40*R)/100\nR = 22 1/2 %\nAnswer:D", "role": "assistant", "uuid": "a7b50a4b-3534-4a33-870b-02dc6a0d2d1a" } ]

{ "coherence": 2.8, "complexity": 1.41, "correctness": 2.47, "helpfulness": 2.53, "instruction-following": 3.54, "safety": 5.59, "verbosity": 0.99, "verbosity-coeff": -0.1143 }

[ { "content": "Find the constant k so that : -x2 - (k + 11)x - 8 = -(x - 2)(x - 4)\n\n['A)11', 'B)12', 'C)17', 'D)14', 'E)15']", "role": "user", "uuid": "a6239282-da6e-432e-921c-1bd597217dff" }, { "content": "-x2 - (k + 11)x - 8 = -(x - 2)(x - 4) : given\n-x2 - (k + 11)x - 8 = -x2 + 6x - 8\n-(k + 11) = 6 : two polynomials are equal if their corresponding coefficients are equal.\nk = -17 : solve the above for k\ncorrect answer C", "role": "assistant", "uuid": "b44145cb-7fa8-464c-8660-a9265282c59b" } ]

{ "coherence": 3.05, "complexity": 1.78, "correctness": 2.39, "helpfulness": 2.41, "instruction-following": 3.68, "safety": 4.85, "verbosity": 1.09, "verbosity-coeff": -0.1777 }

[ { "content": "The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?\n\n['A)245', 'B)777', 'C)282', 'D)266', 'E)225']", "role": "user", "uuid": "75f62648-7fb2-4495-968f-5e91bcd462fb" }, { "content": "Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2 => 2(150 + x) = 750 => x = 225 m.\nAnswer: E", "role": "assistant", "uuid": "680ed31c-e68a-42cc-a805-5227183d7fae" } ]

{ "coherence": 2.84, "complexity": 1.6, "correctness": 2.31, "helpfulness": 2.49, "instruction-following": 3.88, "safety": 4.46, "verbosity": 1.55, "verbosity-coeff": -0.1108 }