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[ { "content": "What approximate value should come in place of the question mark (?) in the following equation ?\n5⁄7 of 1596 + 3015 = ? – 2150\n\n['A)7200', 'B)48000', 'C)5300', 'D)58000', 'E)6300']", "role": "user", "uuid": "d1b2651e-9b6f-4e7c-8399-b0e9ecc3dcd6" }, { "content": "? ≈ 5 × 230 + 3000 + 2150\n= 1150 + 3000 + 2150 = 6300\nAnswer E", "role": "assistant", "uuid": "b3b49306-e205-40c1-813d-e8c42ded67dd" } ]

{ "coherence": 2.78, "complexity": 1.14, "correctness": 1.82, "helpfulness": 2.06, "instruction-following": 3.13, "safety": 4.73, "verbosity": 1.32, "verbosity-coeff": -0.1185 }

[ { "content": "The average marks of 14 students was calculated as 71. But, it was discovered later that the marks of one student was taken as 42 instead of 56 and the marks of another student was wrongly taken as 74 while it was actually 32. If these corrections are now made then what is the average of the 14 students?\n\n['A)67', 'B)68', 'C)69', 'D)80', 'E)71']", "role": "user", "uuid": "541de8c1-8b1c-40e2-8f9b-d02a3a8bff7c" }, { "content": "total marks =14*71 = 994\nmarks with out that two studnts = 994-42-74 = 878\ntotal marks ith corrections = 878+56+32 = 966\nthe average marks = 966/14 =69\nANSWER:C", "role": "assistant", "uuid": "9293174b-6601-4839-bd13-a264fc9f0350" } ]

{ "coherence": 2.39, "complexity": 1.64, "correctness": 1.81, "helpfulness": 2.06, "instruction-following": 3.02, "safety": 5.52, "verbosity": 1.63, "verbosity-coeff": -0.1233 }

[ { "content": "In what proportion must wheat at Rs. 15 per kg. be mixed with wheat at Rs. 18 per kg. So that the mixture will be worth Rs. 17 per kg. ?\n\n['A)1 : 9', 'B)1 : 3', 'C)1 : 2', 'D)1 : 1', 'E)1 : 8']", "role": "user", "uuid": "8ad05281-ccfb-47d6-90a8-4724ada53cc1" }, { "content": "Explanation:\nWheat/Rs. 15 per kg.\nWheat/Rs. 18 per kg.\nFor the mixture to be worth Rs. 17 per kg. The ratio should be:\n(18 – 17) : (17 – 15)\n1 : 2\nANSWER:C", "role": "assistant", "uuid": "5584539a-fcfb-4439-a507-0b325c5d4aca" } ]

{ "coherence": 2.8, "complexity": 1.06, "correctness": 2.25, "helpfulness": 2.55, "instruction-following": 3.31, "safety": 5.52, "verbosity": 0.74, "verbosity-coeff": -0.1731 }

[ { "content": "Braun invested a certain sum of money at 8% p.a. simple interest for 'n' years. At the end of 'n' years, Braun got back 2 times his original investment. What is the value of n?\n\n['A)50 years', 'B)25 years', 'C)12 years 6 months', 'D)37 years 6 months', 'E)40 years']", "role": "user", "uuid": "87df5ff3-9905-4bb4-af5b-cef2d0a07e8d" }, { "content": "Explanatory Answer\nLet us say Braun invested $100.\nThen, at the end of 'n' years he would have got back $200.\nTherefore, the Simple Interest earned = 200 - 100 = $100.\nWe know that Simple Interest = (Principal * number of years * rate of interest) / 100\nSubstituting the values in the above equation we get 100 = (100 * n * 8) / 100\nOr 8n = 100\nOr n = 12.5years.\ncorrect choice is (C)", "role": "assistant", "uuid": "32052be7-560a-4ea7-9bc8-7c2fbf4a738b" } ]

{ "coherence": 3.13, "complexity": 1.7, "correctness": 2.59, "helpfulness": 2.94, "instruction-following": 3.56, "safety": 6.38, "verbosity": 0.76, "verbosity-coeff": -0.1206 }

[ { "content": "A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?\n\n['A)150', 'B)160', 'C)170', 'D)180', 'E)190']", "role": "user", "uuid": "5d5ec85a-fdac-4a25-81dd-d067ec265e97" }, { "content": "Length of the train be ‘X’\nX + 150/15 = X + 250/20\n4X + 600 = 3X + 750\nX = 150m\nAnswer: Option A", "role": "assistant", "uuid": "e17533f9-2c35-40c1-909e-f08da69f79ad" } ]

{ "coherence": 3.02, "complexity": 1.7, "correctness": 2.41, "helpfulness": 2.61, "instruction-following": 2.94, "safety": 5.09, "verbosity": 0.98, "verbosity-coeff": -0.1069 }

[ { "content": "Last year the price per share of Stock Y increased by m percent and the earnings per share of Stock Y increased by n percent, where m is greater than n. By what percent did the ratio of price per share to earnings per share increase, in terms of m and n?\n\n['A)100 (m-n)%', 'B)100*(m-n)/(100+n) %', 'C)m/n%', 'D)100 (m+n)%', 'E)100*(m+n)/(100+m)%']", "role": "user", "uuid": "7d6bf84f-eafc-43b2-8fb4-fd6363a7240a" }, { "content": "Let P = the old price per share; E = the old earning per share. Thus P/E is the price to earning ratio before the increases\nAfter the increase the new price is: P*(1+m/100) and the new earning is: E*(1 + n/100)\nThe new P/E is: (1+m/100)P/(1+n/100)E\nThe Percent of P/E increase = (new P/E - P/E)/(P/E). Subsititute new P/E to the equation we have:\n[(1+m/100)/(1+n/100)*P/E - P/E]/(P/E)*100%. Simplifly the expression and you should get the answer to be:\n100*(m-n)/(100+n) %\nAnswer : B", "role": "assistant", "uuid": "e5be4b03-f0dc-4174-8e27-feda5148d569" } ]

{ "coherence": 2.72, "complexity": 2.14, "correctness": 2.39, "helpfulness": 2.43, "instruction-following": 3.31, "safety": 4.48, "verbosity": 1.67, "verbosity-coeff": -0.2253 }

[ { "content": "If 5 spiders make 5 webs in 5 days, then 1 spider will make 1 web in how many days?\n\n['A)7', 'B)6', 'C)5', 'D)4', 'E)3']", "role": "user", "uuid": "41b5e91f-604b-427c-ac68-a86385f8ba7c" }, { "content": "Let the required number days be x.\nLess spiders, More days (Indirect Proportion)\nLess webs, Less days (Direct Proportion)\nspiders 1:5\nWebs 5:1\n1 x 5 x x = 5 x 1 x 5\n=> x= 5\nAnswer is C", "role": "assistant", "uuid": "bbfd2615-d16b-4ae1-9581-787d83972f21" } ]

{ "coherence": 2.98, "complexity": 2.2, "correctness": 2.9, "helpfulness": 2.92, "instruction-following": 3.62, "safety": 5.12, "verbosity": 1.41, "verbosity-coeff": -0.1075 }

[ { "content": "When N is divided by T, the quotient is S and the remainder is M. Which of the following expressions is equal to N?\n\n['A)ST', 'B)S + V', 'C)ST + M', 'D)T(S+V)', 'E)T(S – V)']", "role": "user", "uuid": "3dbcb86a-64af-48da-998e-37e7a718956e" }, { "content": "Using the rule dividend = Quotient * divisor + remainder =>ST + M C is correct", "role": "assistant", "uuid": "73d047e9-180f-46cc-9b71-94ba6d759c80" } ]

{ "coherence": 2.37, "complexity": 1.68, "correctness": 1.86, "helpfulness": 2.29, "instruction-following": 2.43, "safety": 4.81, "verbosity": 0.53, "verbosity-coeff": -0.1178 }

[ { "content": "P can do a work in 36 days. Q can do the same work in 9 days and R can do the same in 12 days. Q and R start the work and leave after 3 days. P finishes the remaining work in --- days.\n\n['A)7', 'B)8', 'C)9', 'D)10', 'E)15']", "role": "user", "uuid": "d91030d1-15e4-4c71-b25b-6db161239753" }, { "content": "Work done by P in 1 day = 1/36\nWork done by Q in 1 day = 1/9\nWork done by R in 1 day = 1/12\nWork done by Q and R in 1 day = 1/9 + 1/12 = 7/36\nWork done by Q and R in 3 days = 3×7/36 = 7/12\nRemaining work = 1 – 7/12 = 5/12\nNumber of days in which P can finish the remaining work = (5/12) / (1/36) = 15\nOption E", "role": "assistant", "uuid": "eba627d7-a3fe-4b5b-804d-d914f0b77d29" } ]

{ "coherence": 2.51, "complexity": 1.91, "correctness": 2.2, "helpfulness": 2.49, "instruction-following": 3.11, "safety": 4.89, "verbosity": 1.27, "verbosity-coeff": -0.1189 }

[ { "content": "If the cost of x metres of wire is d rupees, then what is the cost of y metres of wire at the same rate?\n\n['A)Rs. (xd/y)', 'B)Rs. xd', 'C)Rs. (yd/x)', 'D)Rs. yd', 'E)None of these']", "role": "user", "uuid": "77776c9c-6271-444b-b64b-f4cb423ef62c" }, { "content": "Explanation :\ncost of x metres of wire = Rs. d\ncost of 1 metre of wire = Rs.(d/x)\ncost of y metre of wire = Rs.(y × (d/x)) = Rs. (yd/x).. Answer : Option C", "role": "assistant", "uuid": "d10c5592-7c80-458c-8dd7-b6121092c855" } ]

{ "coherence": 2.74, "complexity": 2.51, "correctness": 2.39, "helpfulness": 2.55, "instruction-following": 3.31, "safety": 5.28, "verbosity": 1.5, "verbosity-coeff": -0.1052 }

[ { "content": "In the xy-coordinate system, if (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 3, then k =\n\n['A)1/2', 'B)1', 'C)2', 'D)5/2', 'E)4']", "role": "user", "uuid": "b6d5b2ad-4591-448e-b640-65e34e78f331" }, { "content": "Since (m, n) and (m + 2, n + k) are two points on the line with the equation x = 2y + 5 they should satisfy m=2n +3 and m+2 =2 *(n+k)+3.\nBy 1st equation we have m-2n=3 and by 2nd equation m-2n = 2k+1 --->3 =2k+1 --->k=1.\nThe answer is, therefore, (B).", "role": "assistant", "uuid": "80ce3e16-b9ce-475e-b7c9-caa4c190ddf9" } ]

{ "coherence": 2.59, "complexity": 1.61, "correctness": 1.66, "helpfulness": 1.68, "instruction-following": 2.23, "safety": 5.09, "verbosity": 0.7, "verbosity-coeff": -0.1554 }

[ { "content": "What least number must be subtracted from 7538 so that remaining no.is divisible by 14\n\n['A)3', 'B)5', 'C)6', 'D)8', 'E)9']", "role": "user", "uuid": "8a83982f-fc4d-498e-a81e-b3e660a02789" }, { "content": "Explanation:\nOn dividing 7538 by 14 we get the remainder 6, so 6 should be subtracted\nOption C", "role": "assistant", "uuid": "3ed34b1a-9fce-4691-8660-ea128c75e7d8" } ]

{ "coherence": 2.84, "complexity": 1.45, "correctness": 2.57, "helpfulness": 2.57, "instruction-following": 2.92, "safety": 5.09, "verbosity": 0.89, "verbosity-coeff": -0.1134 }

[ { "content": "How many positive integer solutions does the equation 2x+3y = 100 have?\n\n['A)50', 'B)33', 'C)16', 'D)35', 'E)14']", "role": "user", "uuid": "f943655b-0954-4dc7-bc02-6088398ba952" }, { "content": "formula: (constant)/(lcm of two nos)\n=100/(2*3)=15.5\nANSWER:C", "role": "assistant", "uuid": "8a4b3cfa-d33e-4d0c-baf8-07cd77d083c4" } ]

{ "coherence": 1.92, "complexity": 1.06, "correctness": 0.74, "helpfulness": 0.68, "instruction-following": 1.07, "safety": 5.09, "verbosity": 0.41, "verbosity-coeff": -0.2427 }

[ { "content": "Company X sells a selection of products at various price points. Listed below are unit sales made for one particular day. How many unit sales on that day were greater than the mean sale price but less than the median sale price?\n$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "d08d8082-3c12-4295-a716-35f2445d3fa7" }, { "content": "Taking the prices of products in ascending order(already arranged)\n$50, $50, $97, $97, $97, $120, $125, $155, $199, $199, $209\nwe see that median value is the 6th value as there in total 11 values given\nArithmetic mean = total/number of entries = 1398/11 =127.9090\nWe are asked to find how many unit sales on that day were greater than the mean sale price but less than the median sale price\nas we can clearly see that there is one value between $120 and $127.90, answer is 1 unit\nCorrect Answer - B", "role": "assistant", "uuid": "fcce5728-886c-4624-a8a5-6815810e08f1" } ]

{ "coherence": 2.64, "complexity": 1.3, "correctness": 2.23, "helpfulness": 1.98, "instruction-following": 3.13, "safety": 4.23, "verbosity": 1.69, "verbosity-coeff": -0.165 }

[ { "content": "How many 4 digit numbers can be formed with the digits 0, 1, 2, 3, 4, 5, 6 and 4?\n\n['A)a. 220', 'B)b. 249', 'C)c. 432', 'D)d. 216', 'E)e. 288']", "role": "user", "uuid": "cd599962-b021-4b9e-a865-cebcae596fea" }, { "content": "Taking Question with it's same language as given\nTo make number divisible by 5, the unit digit should be either 0 or 5 only\nCase 1: If unit digit is fixed as zero\nWith two6s The choice to fill the remaining three digits = 3C2 x 5 = 15\nWith all remaining 3 digits different, The choice to fill the remaining three digits = 6 x 5 x 4= 120\nTotal Such cases = 120+15 = 135\nCase 2: If unit digit is fixed as Five\nWith two6s and one0The choice to fill the remaining three digits = 2 [6605 or 6065]\nWith two6s and without0The choice to fill the remaining three digits = 3C2 x 4 = 12\nWith all remaining 3 digits different, and one0The choice to fill the remaining three digits = 2 (ways to place zero) x 5 x 4= 40\nWith all remaining 3 digits different, and without0The choice to fill the remaining three digits = 3 x 5 x 4= 60\nTotal Such cases = 2+12+40+60 = 114\nTotal numbers = 135+114 = 216\nANSWER OPTION D", "role": "assistant", "uuid": "6f41c036-ac4f-4f9a-917a-3ac18088028a" } ]

{ "coherence": 2.62, "complexity": 2.25, "correctness": 2.35, "helpfulness": 2.43, "instruction-following": 2.7, "safety": 6.41, "verbosity": 1.97, "verbosity-coeff": -0.1306 }

[ { "content": "Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 36 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank?\n\n['A)542', 'B)540', 'C)514', 'D)829', 'E)432']", "role": "user", "uuid": "7f343798-e85d-4529-85ad-a85761cbe378" }, { "content": "1/12 + 1/15 - 1/x = 1/15\nx = 12\n12 * 36 = 432\nAnswer: E", "role": "assistant", "uuid": "5591eae2-92d9-402a-befe-e0ac7483b4d5" } ]

{ "coherence": 2.45, "complexity": 1.59, "correctness": 2.16, "helpfulness": 2.47, "instruction-following": 2.35, "safety": 5.71, "verbosity": 0.58, "verbosity-coeff": -0.1285 }

[ { "content": "The value of 1 + [1/(8 x 2)] + [1/(8 x 2²)] + [1/(8 x 2³)] is :\n\n['A)71/64', 'B)1/16', 'C)1/4', 'D)1/3', 'E)None of these']", "role": "user", "uuid": "2b43d4a5-a22e-4c1d-8872-0a45d1c045d6" }, { "content": "(8 x 2³ + 2² + 2 + 1)/(8 x 2³) = (64 + 4 + 2 + 1)/ 64\n= 71/64.\nANSWER:A", "role": "assistant", "uuid": "f8ae58f0-84dc-4495-a7a1-83658cd5c2ea" } ]

{ "coherence": 3.09, "complexity": 2.18, "correctness": 2.8, "helpfulness": 2.88, "instruction-following": 3.62, "safety": 4.58, "verbosity": 1.41, "verbosity-coeff": -0.1115 }

[ { "content": "The number of positive integers valued pairs (x, y) ssatisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is\n\n['A)fifty nine', 'B)57', 'C)55', 'D)58', 'E)60']", "role": "user", "uuid": "13cb7d56-3f93-47a8-bd24-9b2a8d698ffe" }, { "content": "4x-17y=1\ny=(4x-1)/17\nx has to be a positive integer such that 1<=x<=1000(4x-1) is a factor of 17 so that y is also a positive integer\nSo we need to know how many numbers in the set {3,7,11,15,....,3999} are divisible by 17\nLets try to observe the pattern\n1. 3 mod 17 = 3\n2. 7 mod 17 = 7\n3. 11 mod 17 = 11\n4. 15 mod 17 = 15\n5. 19 mod 17 = 2\n6. 23 mod 17 = 6\n7. 27 mod 17 = 10\n8. 31 mod 17 = 14\n9. 35 mod 17 = 1\n10. 39 mod 17 = 5\n11. 43 mod 17 = 9\n12. 47 mod 17 = 13\n13.51 mod 17 = 0\n14. 55 mod 17 = 4\n15. 59 mod 17 = 8\n16. 63 mod 17 = 12\n17. 67 mod 17 = 16\n... and after this the remainders will repeat (this is no co-incidence that the cyclicity is also 17)\nSo the right choices are x=13,13+17,13+17+17,.....\nThe number of such numbers is 59 (highest one being 999) A", "role": "assistant", "uuid": "3ce2fb1c-5a1e-453a-9123-d8ddb122f40c" } ]

{ "coherence": 2.39, "complexity": 2.39, "correctness": 1.85, "helpfulness": 1.84, "instruction-following": 2.23, "safety": 5.12, "verbosity": 1.82, "verbosity-coeff": -0.1425 }

[ { "content": "Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job.How long should it take both A and B, working together but independently, to do the same job?\n\n['A)40/9 days', 'B)9 days', 'C)40 days', 'D)94 days', 'E)7 days']", "role": "user", "uuid": "c8e3c184-33e2-4d55-af4e-b371dec73f0f" }, { "content": "A’s 1 hour's work = 1/8\nB's 1 hour's work = 1/10\n(A + B)'s 1 hour's work = (1/8) +(1/10)=9/40\nBoth A and B will finish the work in 40/9 days.\nAns: A", "role": "assistant", "uuid": "12f31d40-b3b8-4420-bd9d-8ff1f76c534b" } ]

{ "coherence": 2.76, "complexity": 1.27, "correctness": 2.33, "helpfulness": 2.45, "instruction-following": 3.66, "safety": 5.55, "verbosity": 1.11, "verbosity-coeff": -0.1273 }

[ { "content": "If both the product and sum of four integers are even, which of the following could be the number of even integers in the group?\nI. 0\nII. 2\nIII. 4\n\n['A)I only', 'B)II only', 'C)III only', 'D)II and III only', 'E)I, II, and III']", "role": "user", "uuid": "4125f858-4361-4e9a-a005-c361738a26e2" }, { "content": "for four int to have their product and sum as even..\n2 and 4 are ok..\nbut 0 even number will result in an odd integer as product..\nANSWER:D", "role": "assistant", "uuid": "f8ec9738-e3e1-4689-8712-3aec12de010f" } ]

{ "coherence": 2.18, "complexity": 1.99, "correctness": 1.43, "helpfulness": 1.33, "instruction-following": 1.54, "safety": 6.26, "verbosity": 1.2, "verbosity-coeff": -0.2357 }

[ { "content": "Look at this series: 8, 22, 8, 28, 8, ... What number should come next?\n\n['A)36', 'B)28', 'C)44', 'D)34', 'E)55']", "role": "user", "uuid": "59e018ad-04bd-4862-8b09-e33f6ccc5c9e" }, { "content": "D\n34\nThis is a simple addition series with a random number, 8, interpolated as every other number. In the series, 6 is added to each number except 8, to arrive at the next number.", "role": "assistant", "uuid": "a7bdaadf-b790-4a7f-b665-7e7bac6d5acb" } ]

{ "coherence": 2.64, "complexity": 1.25, "correctness": 1.99, "helpfulness": 2.16, "instruction-following": 2.12, "safety": 3.66, "verbosity": 1.18, "verbosity-coeff": -0.1155 }

[ { "content": "Find the unknown term 8,8,X,2,-4, -12\n\n['A)2', 'B)4', 'C)6', 'D)8', 'E)9']", "role": "user", "uuid": "c29202b2-8dea-4f85-b1e0-86dc6128a754" }, { "content": "8,8,X,2,-4, -12\ni guess each differ in d range of 2\n8 - 8 = 0\n8 - 6 = 2\n6 - 2 = 4\n2 - 6 = -4\n-4 - 8 = -12\nANSWER:C", "role": "assistant", "uuid": "82922e04-0b22-4e11-84cb-e10a81a8124a" } ]

{ "coherence": 2.35, "complexity": 1.12, "correctness": 2.18, "helpfulness": 2.14, "instruction-following": 2.59, "safety": 3.5, "verbosity": 0.96, "verbosity-coeff": -0.0888 }

[ { "content": "P and Q started a business investing Rs 60000 and Rs 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.\n\n['A)7:5', 'B)17:3', 'C)4:1', 'D)17:7', 'E)5:8']", "role": "user", "uuid": "a8ceb9da-9ea9-418d-a5d6-dc6e444c276c" }, { "content": "Explanation:\nIn this type of question as time frame for both investors is equal then just get the ratio of their investments.\nP:Q = 60000:15000\n= 60:15\n= 4:1\nOption C", "role": "assistant", "uuid": "d21e19dd-8d56-4760-a232-be19ef11cffb" } ]

{ "coherence": 2.66, "complexity": 1.43, "correctness": 2.18, "helpfulness": 2.33, "instruction-following": 2.82, "safety": 5.79, "verbosity": 0.94, "verbosity-coeff": -0.1387 }

[ { "content": "A person travelled from his house to office at 20km/hr and office to house at 80km/hr. Then find the average speed?\n\n['A)32km/hr', 'B)40km/hr', 'C)48km/hr', 'D)50km/hr', 'E)62km/hr']", "role": "user", "uuid": "e805fbe1-a466-408a-a189-781dfca848de" }, { "content": "Average speed = (2*20*80)/(20+80)\r= 32km/hr\rAnswer is A", "role": "assistant", "uuid": "9eba1baa-56c7-4047-b936-357abd346592" } ]

{ "coherence": 3.31, "complexity": 1.55, "correctness": 2.84, "helpfulness": 2.82, "instruction-following": 3.7, "safety": 5.2, "verbosity": 0.6, "verbosity-coeff": -0.1171 }

[ { "content": "A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?\n\n['A)3.34 sq m', 'B)2.98 sq m', 'C)9.98 sq m', 'D)1.98 sq m', 'E)3.78 sq m']", "role": "user", "uuid": "47d06283-49ad-4bbe-a38d-ebfd818ee633" }, { "content": "Area of the path = Area of the outer circle - Area of the inner circle\n= ∏{4/2 + 25/100}2 - ∏[4/2]2\n= ∏[2.252 - 22]\n= ∏(0.25)(4.25) { (a2 - b2\n= (a - b)(a + b) }\n= (3.14)(1/4)(17/4) = 53.38/16\n= 3.34 sq m\nAnswer: A", "role": "assistant", "uuid": "15738890-a8c8-42a3-b9b8-1580918f1ec9" } ]

{ "coherence": 2.88, "complexity": 1.43, "correctness": 2.23, "helpfulness": 2.35, "instruction-following": 3.45, "safety": 4.07, "verbosity": 1.42, "verbosity-coeff": -0.1162 }

[ { "content": "From the sale of sleeping bags, a retailer made a gross profit of 12% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag?\n\n['A)3.0', 'B)3.36', 'C)24.64', 'D)25.0', 'E)31.36']", "role": "user", "uuid": "e58b3e80-abb6-46ed-aed4-21917d6b78f8" }, { "content": "Cost price * 1.12 = Selling price --> Cost price * 1.12 = $28 --> Cost price = $25.\nAnswer: D.\nActually even without any math only C and D make any sense, but since 24.64 * 1.12 won't be an integer ($28) then only answer choice D remains.", "role": "assistant", "uuid": "09c63640-916c-421e-aa55-a1c1950f00b4" } ]

{ "coherence": 3.21, "complexity": 1.14, "correctness": 2.61, "helpfulness": 2.61, "instruction-following": 2.66, "safety": 3.54, "verbosity": 0.76, "verbosity-coeff": -0.2086 }

[ { "content": "Two-third of a positive number and 49/216 of its reciprocal are equal. The number is:\n\n['A)5/12', 'B)7/12', 'C)25/144', 'D)144/25', 'E)146/25']", "role": "user", "uuid": "8f43ea06-8bae-40b7-b0bc-18cf41a722b0" }, { "content": "Let the number be x. Then,\n2/3 x = 49/216 * 1/x\nx2 = 49/216 * 3/2 = 49/144\nx = 7/12\nANSWER:B", "role": "assistant", "uuid": "4ea64497-8b25-4cd6-ac19-d76bd86a6f1d" } ]

{ "coherence": 3.27, "complexity": 1.87, "correctness": 2.74, "helpfulness": 2.9, "instruction-following": 3.72, "safety": 5.91, "verbosity": 1.21, "verbosity-coeff": -0.2002 }

[ { "content": "A certain roller coaster ride has more than 29 people waiting in line to board. If riders are let on only in groups of 5 there will be 2 riders that do not get on. If the riders are let on only in groups of 6 all riders will be able to get on the roller coaster. If less than 112 people are in the line, which of the following is the largest possible value of number of people in the line?\n\n['A)112', 'B)108', 'C)106', 'D)102', 'E)96']", "role": "user", "uuid": "23d95e6e-f4d2-4a17-8d97-652291566ce6" }, { "content": "No which leaves 2 as remainder when divided by 5 = ( 7, 12, 17, .....)\nNo which leaves 0 remainder when divided by 6 = (6, 12, 18...)\nCommon no in two sets = 12\nSo the numbers which satisfy this condition will be of the form 30x + 12.\nNow we know that the no is greater than 29 and has to be less than 112...so option which satisfies is 102\nANSWER:D", "role": "assistant", "uuid": "b5b5b018-1306-4e60-9f80-601f9975bad5" } ]

{ "coherence": 2.49, "complexity": 1.52, "correctness": 1.84, "helpfulness": 2.04, "instruction-following": 2.45, "safety": 6.38, "verbosity": 1.07, "verbosity-coeff": -0.223 }

[ { "content": "400 students took a mock exam in Delhi, 60% of the boys and 80% of the girls cleared the cut off in the examination. If the total percentage of students qualifying is 65%, how many girls appeared in the examination?\n\n['A)50', 'B)100', 'C)120', 'D)140', 'E)180']", "role": "user", "uuid": "fd10e84b-dd29-4676-bfb2-65cdc51dba84" }, { "content": "60%*x+80%*(400-x)=65%*400\nAns=100\nANSWER:B", "role": "assistant", "uuid": "d119e52c-6d08-42ed-9518-e4e76e9d439b" } ]

{ "coherence": 2.53, "complexity": 1.15, "correctness": 1.63, "helpfulness": 1.88, "instruction-following": 2.37, "safety": 6.8, "verbosity": 1.06, "verbosity-coeff": -0.1123 }

[ { "content": "The radius of a circle is increased by 1%. Find how much % does its area increases?\n\n['A)2.07%', 'B)2.71%', 'C)2.05%', 'D)2.01%', 'E)2.02%']", "role": "user", "uuid": "c8846576-b5c1-4734-9c43-339eed502229" }, { "content": "r = 100 r = 101\nr2 = 10000 r2 = 10201\n10000 ---- 201\n100 ---- ? => 2.01%\nAnswer: D", "role": "assistant", "uuid": "25cdf74d-0a90-436a-892b-631214ecf210" } ]

{ "coherence": 2.62, "complexity": 1.65, "correctness": 2.21, "helpfulness": 2.04, "instruction-following": 2.55, "safety": 4.89, "verbosity": 0.95, "verbosity-coeff": -0.1373 }

[ { "content": "A certain music store stocks 800 cellos and 600 violas. Of these instruments, there are 80 cello-viola pairs, such that a cello and a viola were both made with wood from the same tree (each tree can make at most one viola and one cello, so there are no pairs other than these 90). If one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?\n\n['A)3/16,000', 'B)1/8,100', 'C)1/600', 'D)1/90', 'E)2/45']", "role": "user", "uuid": "1d4bf056-f46e-406b-9a45-3323d2544e41" }, { "content": "Solution provided by stanford2012 is correct: 80/800 choosing one of the cellos which has a pair viola, 1/600 choosing the viola which is the pair of chosen cello --> P=80/800*1/600=1/6,000.\nAnswer: C.", "role": "assistant", "uuid": "4414011d-2dd1-4f21-ae09-8603376a4b3b" } ]

{ "coherence": 2.88, "complexity": 0.84, "correctness": 1.97, "helpfulness": 2.18, "instruction-following": 1.69, "safety": 5.83, "verbosity": 1.06, "verbosity-coeff": -0.1905 }

[ { "content": "A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?\n\n['A)399', 'B)267', 'C)350', 'D)788', 'E)277']", "role": "user", "uuid": "59c19ec7-2a89-4bd0-bd68-ed4c80d21777" }, { "content": "Speed = [300 / 18] m/sec = 50/3 m/sec.\nLet the length of the platform be x meters.\nThen, x + 300 / 39 = 50/3\n3(x + 300) = 1950 è x = 350m.\nAnswer:C", "role": "assistant", "uuid": "f0bcc9b3-bd39-4168-aa3f-ea8a256eae09" } ]

{ "coherence": 2.57, "complexity": 1.47, "correctness": 1.98, "helpfulness": 2.21, "instruction-following": 3.48, "safety": 5.32, "verbosity": 1.29, "verbosity-coeff": -0.1243 }

[ { "content": "The average of first ten prime numbers which are odd is?\n\n['A)15.6', 'B)15.1', 'C)15.9', 'D)15.8', 'E)15.3']", "role": "user", "uuid": "77379af4-76f5-4d51-8fcc-8b3d234db394" }, { "content": "Sum of first 10 prime no. which are odd\n= 158\nAverage = 158/10\n= 15.8\nAnswer:D", "role": "assistant", "uuid": "68dd589f-1079-4fef-b787-bca261358840" } ]

{ "coherence": 2.98, "complexity": 1.5, "correctness": 2.51, "helpfulness": 2.55, "instruction-following": 3.39, "safety": 4.81, "verbosity": 1.32, "verbosity-coeff": -0.1267 }

[ { "content": "What is the total number of prime numbers less than 60?\n\n['A)17', 'B)18', 'C)19', 'D)20', 'E)21']", "role": "user", "uuid": "cf1c3237-d599-4cd8-a5a1-e32f0313795a" }, { "content": "Solution\nPrime numbers less than 60 are\t=17.\n2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59\nTheir number is 17.\nAnswer A", "role": "assistant", "uuid": "717984bc-881b-4197-8bd8-69054684d78c" } ]

{ "coherence": 3.07, "complexity": 1.62, "correctness": 3.05, "helpfulness": 2.9, "instruction-following": 3.02, "safety": 5.01, "verbosity": 1.64, "verbosity-coeff": -0.1337 }

[ { "content": "How many digits are required to write numbers between 1 to 100.\n\n['A)196', 'B)158', 'C)192', 'D)200', 'E)None']", "role": "user", "uuid": "57da6d17-1de7-473e-94e1-a84e7c5f287d" }, { "content": "Explanation:\nSingle digits are from 1 to 9 = 9 digits\nDoubt digits are from 10 to 99 = 90 x 2 = 180 digits\n100 needs 3 digits. Total 192 digits\nCorrect Option: C", "role": "assistant", "uuid": "7ab0d9a7-5902-4b18-82fb-8c05ff44fc1c" } ]

{ "coherence": 2.62, "complexity": 1.64, "correctness": 2.02, "helpfulness": 2.06, "instruction-following": 2.8, "safety": 5.05, "verbosity": 0.93, "verbosity-coeff": -0.0905 }

[ { "content": "One year ago, the ratio of Sooraj's and Vimal's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Vimal?\n\n['A)31', 'B)32', 'C)33', 'D)36', 'E)35']", "role": "user", "uuid": "29e87568-2f91-4f34-829d-b5504409b3d5" }, { "content": "Let the age of Sooraj and Vimal, 1 year ago, be 6x and 7x respectively.\nGiven that, four years hence, this ratio would become 7:8\n⇒(6x+5):(7x+5)=7:8⇒8(6x+5)=7(7x+5)⇒48x+40=49x+35⇒x=5\nVimal's present age\n=7x+1=7×5+1=36\nAnswer is D.", "role": "assistant", "uuid": "96e239fb-3b79-4fd6-afa1-dee366f5ec66" } ]

{ "coherence": 3.02, "complexity": 1.91, "correctness": 2.88, "helpfulness": 2.94, "instruction-following": 4.23, "safety": 4.66, "verbosity": 1.34, "verbosity-coeff": -0.1432 }

[ { "content": "In how many different number of ways 4 boys and 4 girls can sit on a bench?\n\n['A)40320', 'B)42345', 'C)23456', 'D)40567', 'E)34567']", "role": "user", "uuid": "f6d4b774-45dc-4cd7-9530-3eb954f46cbd" }, { "content": "npn = n!\n8p8 = 8 x 7 x 6 × 5 × 4 × 3 × 2 × 1 = 40320\nA)", "role": "assistant", "uuid": "c676d018-adbc-4100-9d10-d538eb285857" } ]

{ "coherence": 2.39, "complexity": 1.93, "correctness": 1.91, "helpfulness": 2.06, "instruction-following": 2.68, "safety": 4.23, "verbosity": 1.34, "verbosity-coeff": -0.129 }

[ { "content": "Tough and Tricky questions: Work/Rate Problems.\nIf it takes 80 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?\n\n['A)40/3', 'B)11', 'C)7', 'D)8', 'E)9/7']", "role": "user", "uuid": "a6a68222-f5ad-4200-9fbf-987d3ba04763" }, { "content": "80 Workers = 3 hours then,\n1 Worker = 3*80 Hours\n30 Workers = (3*80) /(30) = 8 Answer.D", "role": "assistant", "uuid": "e2f49d14-bad5-4eb3-8d6f-14f5a4d558c7" } ]

{ "coherence": 2.33, "complexity": 1.21, "correctness": 1.85, "helpfulness": 2, "instruction-following": 2.04, "safety": 5.75, "verbosity": 0.41, "verbosity-coeff": -0.117 }

[ { "content": "66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length if the wire in meters will be:\n\n['A)76 m', 'B)80 m', 'C)84 m', 'D)88 m', 'E)90 m']", "role": "user", "uuid": "1fa828c9-d19a-4295-a738-853ea8e29836" }, { "content": "Explanation:\nLet the length of the wire be h\nRadius=1/2mm=1/20cm\nπr2h=66\n(22/7)*(1/20)*(1/20)*h=66\n=>h=(66∗20∗20∗7) / 22\n=8400cm\n=84m\nANSWER IS C", "role": "assistant", "uuid": "4087b9f6-1983-4079-b2f9-de0932f7af1d" } ]

{ "coherence": 2.96, "complexity": 2.27, "correctness": 2.66, "helpfulness": 2.82, "instruction-following": 4.11, "safety": 5.05, "verbosity": 1.47, "verbosity-coeff": -0.1215 }

[ { "content": "If a quality control check is made inspecting a sample of 2 light bulbs from a box of 8 lighbulbs, how many different samples can be chosen?\n\n['A)6', 'B)28', 'C)36', 'D)66', 'E)72']", "role": "user", "uuid": "356baf1f-cc5f-43f8-9b2e-35bd1a3cd174" }, { "content": "Try using the formula for combinations:\nn!/r!(n-r)!\n8!/2!(8-2)!\n8!/2!*6!\n8*7/2*1\n=28\nB", "role": "assistant", "uuid": "e75f4d19-978e-4fc7-9faf-992edf30118f" } ]

{ "coherence": 3.02, "complexity": 1.56, "correctness": 2.55, "helpfulness": 2.62, "instruction-following": 3.33, "safety": 4.58, "verbosity": 1.35, "verbosity-coeff": -0.1041 }

[ { "content": "In a Question paper there are 3 multiple choice questions. Each question has 4 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 3 answers correct?\n\n['A)19', 'B)85', 'C)63', 'D)54', 'E)64']", "role": "user", "uuid": "ec589414-d935-41a9-82df-c27e9b6aa01a" }, { "content": "A candidate can answer the test in 4^3 number of ways (each question has 4 choices and we have total of 3 questions). Now, out of these cases there will be only one case when the candidate answered all the four questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 4^3-1=63.\nAnswer: D.", "role": "assistant", "uuid": "42d22dfe-2ede-46ad-abdb-c48e512fe276" } ]

{ "coherence": 2.59, "complexity": 1.4, "correctness": 2.06, "helpfulness": 2.23, "instruction-following": 2.84, "safety": 4.77, "verbosity": 1.58, "verbosity-coeff": -0.1014 }

[ { "content": "Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?\n\n['A)0.853', 'B)0.358', 'C)3.58', 'D)8.35', 'E)None']", "role": "user", "uuid": "bc6c8d93-306e-4516-bd3f-f7aa46534638" }, { "content": "Answer\n3/10 + 5/100 + 8/1000\n= 0.3 + 0.05 + 0.008\n= 0.358\nCorrect Option: B", "role": "assistant", "uuid": "f5eb390f-14b7-404d-a340-2126e766b6c1" } ]

{ "coherence": 2.84, "complexity": 2, "correctness": 2.53, "helpfulness": 2.74, "instruction-following": 3.68, "safety": 4.81, "verbosity": 1.28, "verbosity-coeff": -0.1055 }

[ { "content": "Of the 200 students at University XYZ majoring in one or more of the engineering disciplines, 150 are majoring in electrical and 150 are majoring in mechanical. If at least 30 of the students are not majoring in either electrical or mechanical, then the number of students majoring in both electrical and mechanical could be any number from\n\n['A)30 to 70', 'B)70 to 100', 'C)110 to 130', 'D)130 to 150', 'E)150 to 170']", "role": "user", "uuid": "6a78e1b6-ae3f-472b-b4a7-08b85058af82" }, { "content": "if there are 150 students majoring in electrical then there must be 70 person not majoring electrical at all, since both of the student not majoring electrical and mechanical is at least 30, so the number of the student who are not majoring electrical but majoring mechanical will be at least 20.\nif there are 150 students majoring in mechanical there must be 50 students who are not majoring mechanical at all, since the number of the student who are not majoring electrical but majoring mechanical will be at least 20, hence the number of students both majoring mechanical and electrical will be at least 70\nso there must be at least 70 students who major in both\nsee the answers option the only possible answer is B !", "role": "assistant", "uuid": "0d64e953-0daa-4fae-8198-818e4e37f74c" } ]

{ "coherence": 2.55, "complexity": 1.57, "correctness": 2.06, "helpfulness": 2.21, "instruction-following": 1.97, "safety": 4.54, "verbosity": 1.62, "verbosity-coeff": -0.143 }

[ { "content": "Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is:\n\n['A)15', 'B)33', 'C)58', 'D)56', 'E)91']", "role": "user", "uuid": "607deb78-4939-418e-b72e-c60429653654" }, { "content": "Let the numbers be 3x and 5x.\nThen, (3x - 9)/(5x - 9)\n= 12/23\n9x = 99 => x = 11\nThe smallest number\n= 3 * 11 = 33.\nAnswerB", "role": "assistant", "uuid": "7459c955-308a-4375-a0fc-8082dfdcd85e" } ]

{ "coherence": 2.82, "complexity": 1.41, "correctness": 2.25, "helpfulness": 2.53, "instruction-following": 2.94, "safety": 5.24, "verbosity": 1.12, "verbosity-coeff": -0.1302 }

[ { "content": "A toy store regularly sells all stock at a discount of 20% to 40%. If an additional 25% were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?\n\n['A)a) $5.60', 'B)b) $7.20', 'C)c) $8.80', 'D)d) $9.60', 'E)e) $15.20']", "role": "user", "uuid": "f065cfeb-0ce1-4468-bd0a-37397f95d77d" }, { "content": "We will get Lowest price with maximum discount\nso the discount on 16 will be 40% - giving 9.6\nthen another discount of 25% on 9.6 to give 7.2\nso b - $7.2 B", "role": "assistant", "uuid": "57ca3ad2-ad27-4954-9769-7ce5238115fc" } ]

{ "coherence": 2.53, "complexity": 1.43, "correctness": 2.12, "helpfulness": 2.14, "instruction-following": 2.47, "safety": 4.66, "verbosity": 1.57, "verbosity-coeff": -0.1343 }

[ { "content": "After decreasing 20% in the price of an article costs Rs.600. Find the actual cost of an article?\n\n['A)775', 'B)620', 'C)53', 'D)530', 'E)220']", "role": "user", "uuid": "f4295bae-da9c-48e6-bb33-dbcdc808dacb" }, { "content": "CP* (80/100) = 600\nCP= 7.75 * 100 => CP = 775\nAnswer: A", "role": "assistant", "uuid": "dd4b6004-21cd-4d9e-b6eb-90195b1ead78" } ]

{ "coherence": 2.84, "complexity": 0.65, "correctness": 2.35, "helpfulness": 2.7, "instruction-following": 3.7, "safety": 4.89, "verbosity": 0.17, "verbosity-coeff": -0.1025 }

[ { "content": "Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.\n\n['A)128', 'B)197', 'C)127', 'D)182', 'E)091']", "role": "user", "uuid": "c41fe628-2ce2-4254-ad18-27a6d3e6e34e" }, { "content": "Explanation:\nLet 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.\nRequired number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.\nAnswer:B", "role": "assistant", "uuid": "4370884e-8fa2-4ed2-9575-207ff41b14dc" } ]

{ "coherence": 2.61, "complexity": 1.79, "correctness": 2.25, "helpfulness": 2.51, "instruction-following": 3.25, "safety": 5.05, "verbosity": 1.19, "verbosity-coeff": -0.2136 }

[ { "content": "A man sells an article at 10% gain. Had be sold at for Rs.60/- more he could have gained 20% what is cost price of article\n\n['A)Rs.500', 'B)Rs.600', 'C)Rs.650', 'D)Rs.760', 'E)Rs.800']", "role": "user", "uuid": "966f76fd-665c-4d6b-b5b4-93a57d00b32d" }, { "content": "First selling price = 110 % -----> X Rupees\n=sold at for Rs.60/- = 120 % -----> X + 60 Rupees\n~\n----------------------------------------------\n10 % --------> 60\n100 % ------->Rs.600/-\nOption 'B'", "role": "assistant", "uuid": "15f8102c-4393-4c09-ad84-2e48de4ef119" } ]

{ "coherence": 2.29, "complexity": 0.99, "correctness": 1.36, "helpfulness": 1.5, "instruction-following": 1.94, "safety": 6.49, "verbosity": 0.44, "verbosity-coeff": -0.0968 }

[ { "content": "which of the following could be the greatest common factor of positive integers 12 and 16 ? I) 5 II) 4 III) 2\n\n['A)I only', 'B)I,II only', 'C)II only', 'D)I,III only', 'E)III only']", "role": "user", "uuid": "c065f47e-bd58-4c99-b7d6-afcad3e3d275" }, { "content": "12=2*2*3\n16=2*2*2*2\nGCF =2*2=4\nAnswer : C", "role": "assistant", "uuid": "5c390c44-7a73-4524-a8c2-e872245bdc16" } ]

{ "coherence": 2.57, "complexity": 1.88, "correctness": 2, "helpfulness": 1.81, "instruction-following": 2.47, "safety": 5.95, "verbosity": 1.11, "verbosity-coeff": -0.2026 }

[ { "content": "Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?\n\n['A)210', 'B)1050', 'C)25200', 'D)21400', 'E)None of these']", "role": "user", "uuid": "b3a19d5e-462d-4fd2-a9c0-8c3752c9272f" }, { "content": "Number of ways of selecting 3 consonants out of 7 and 2 vowels out of 4 = 7C3 x 4C2 = (7x6x5)/(3x2x1) x (4x3)/(2x1) = 210.\nNumber of groups, each having 3 consonants and 2 vowels = 210.\nEach group contains 5 letters.\nNumber of ways of arranging 5 letters among themselves\n= 5! = 5x4x3x2x1 = 120\nTherefore the required number of words = 210 x 120 = 25200.\nAnswer C.", "role": "assistant", "uuid": "233ff5b7-35aa-438b-a457-7bf830de4679" } ]

{ "coherence": 2.96, "complexity": 1.71, "correctness": 2.68, "helpfulness": 2.86, "instruction-following": 3.58, "safety": 5.52, "verbosity": 1.86, "verbosity-coeff": -0.1245 }

[ { "content": "Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D parked 16 cars for 15 days. If A paid Rs. 1215 as rent for parking his cars, what is the total rent paid by all the four agencies?\n\n['A)Rs. 4500', 'B)Rs. 4800', 'C)Rs. 5250', 'D)Rs. 6642', 'E)None of these']", "role": "user", "uuid": "b79dbf9b-4dfd-4ec8-b1e4-694b0874c4df" }, { "content": "The ratio in which the four agencies will be paying the rents = 15 * 12 : 12 * 20 : 18 * 18 : 16 * 15\n= 180 : 240 : 324 : 240 = 45 : 60 : 81 : 60\nLet us consider the four amounts to be 45k, 60k, 81k and 60k respectively.\nThe total rent paid by the four agencies = 45k + 60k + 81k + 60k= 246k\nIt is given that A paid Rs. 1215\n45k = 1215 => k = 27\n246k = 246(27) = Rs. 6642\nThus the total rent paid by all the four agencies is Rs. 6642.\nANSWER:D", "role": "assistant", "uuid": "bb942164-0088-4701-a32b-e3f9630d2131" } ]

{ "coherence": 2.88, "complexity": 1.75, "correctness": 2.62, "helpfulness": 2.76, "instruction-following": 4.15, "safety": 4.5, "verbosity": 1.9, "verbosity-coeff": -0.1168 }

[ { "content": "Look at this series: U32, V29, __, X23, Y20, ... What number should fill the blank?\n\n['A)M43', 'B)D14', 'C)W26', 'D)F24', 'E)K81']", "role": "user", "uuid": "8cdc9498-4357-4c42-851c-d89b95158842" }, { "content": "C\nW26\nIn this series, the letters progress by 1; the numbers decrease by 3.", "role": "assistant", "uuid": "8d0d4381-68b8-4311-a4d9-e67aba601c63" } ]

{ "coherence": 2.57, "complexity": 1.09, "correctness": 1.9, "helpfulness": 2.23, "instruction-following": 2.39, "safety": 3.15, "verbosity": 0.83, "verbosity-coeff": -0.1032 }

[ { "content": "At a recent small town election for mayor a total of 979 votes were cast for the four candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. How many votes were cast for the candidate in fourth place?\n\n['A)134', 'B)178', 'C)199', 'D)166', 'E)194']", "role": "user", "uuid": "592525da-13d4-45c3-9069-afd433d71cca" }, { "content": "The number of votes the winning candidate received was\n979 + 53 + 79 + 105\t/4= 304.\nThe second received 304 – 53 = 251\nThe fourth place received 304 – 105 = 199.\nC", "role": "assistant", "uuid": "16eeeada-17d4-443f-9482-9196544f7e76" } ]

{ "coherence": 2.68, "complexity": 1.32, "correctness": 1.61, "helpfulness": 1.6, "instruction-following": 1.71, "safety": 4.05, "verbosity": 1.19, "verbosity-coeff": -0.1689 }

[ { "content": "Anand and Deepak started a business investing Rs. 4,500 and Rs. 8,000 respectively. Out of a total profit of Rs. 3,000. Deepak's share is?\n\n['A)s. 1600', 'B)s. 1500', 'C)s. 2450', 'D)s. 1920', 'E)s. 1400']", "role": "user", "uuid": "44d7e3b7-df96-4205-9dd4-952e58190adf" }, { "content": "Ratio of their shares = 4500 : 8000 = 9 : 16\nDeepak's share = Rs. (3000 * 16/25) = Rs. 1920 ANSWER \"D", "role": "assistant", "uuid": "04e602f0-4d18-4dde-b03c-a39ab5dd00e9" } ]

{ "coherence": 2.59, "complexity": 1.53, "correctness": 2.66, "helpfulness": 2.57, "instruction-following": 3.82, "safety": 4.13, "verbosity": 0.94, "verbosity-coeff": -0.1107 }

[ { "content": "Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 35 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone?\n\n['A)4', 'B)5', 'C)14', 'D)12', 'E)None of these']", "role": "user", "uuid": "a31684f5-cdc6-4563-b4d0-6e9520c8a22f" }, { "content": "The part of job that Suresh completes in 9 hours\n= 9⁄15 = 3⁄5\nRemaining job = 1 - 3⁄5 = 2⁄5\nRemaining job can be done by Ashutosh in 2⁄5 × 35 = 14 hours\nAnswer C", "role": "assistant", "uuid": "b900505f-65bc-4cbf-891b-d577857f37fa" } ]

{ "coherence": 2.53, "complexity": 1.29, "correctness": 2.49, "helpfulness": 2.53, "instruction-following": 3.23, "safety": 5.59, "verbosity": 0.92, "verbosity-coeff": -0.1291 }

[ { "content": "5358 x 51 = ?\n\n['A)273258', 'B)273268', 'C)273348', 'D)273358', 'E)None of them']", "role": "user", "uuid": "131b1c42-324f-4ef0-9433-8e0d3d63f8af" }, { "content": "=5358 x 51 = 5358 x (50-1)\n=5358 x 50 + 5358 x 1\n=267900 + 5358 = 273258\nAnswer is A", "role": "assistant", "uuid": "0e6cd21b-75b2-4b7c-9da6-f15c082c26ac" } ]

{ "coherence": 2.64, "complexity": 0.92, "correctness": 1.98, "helpfulness": 2.14, "instruction-following": 3.13, "safety": 4.17, "verbosity": 1.24, "verbosity-coeff": -0.1039 }

[ { "content": "Private Benjamin is a member of a squad of 10 soldiers, which must volunteer 4 of its members for latrine duty. If the members of the latrine patrol are chosen randomly, what is the probability W that private Benjamin will be chosen for latrine duty?\n\n['A)1/10', 'B)1/5', 'C)2/5', 'D)3/5', 'E)4/5']", "role": "user", "uuid": "39d1d4ec-9bc5-4a33-bc1c-4ab53d98d0b6" }, { "content": "Easier way : Desired probability = 1- 'excluded' probability\nIn this case, Excluded probability = probability of Benjamin not being a part of the 4 volunteers. We can choose 4 out of 9 remaining soldiers in 9C4 ways. total ways possible = 10C4.\nThus excluded probability = 9C4/10C4 = 3/5\nThus, the desired probability W= 1- 3/5 = 2/5. Thus C is the correct answer.", "role": "assistant", "uuid": "5ccc634e-6d88-405d-8026-f2c84e7d6ea1" } ]

{ "coherence": 2.96, "complexity": 1.35, "correctness": 2.59, "helpfulness": 2.57, "instruction-following": 2.8, "safety": 5.87, "verbosity": 1.25, "verbosity-coeff": -0.189 }

[ { "content": "6 private companies bought a share of 2 million dollars. If the all companies have to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?\nOptions:\n\n['A)$2,000,000', 'B)$2,000,001', 'C)$2,000,004', 'D)$2,000,007', 'E)$2,000,009']", "role": "user", "uuid": "91014020-d6bd-4acf-a50f-01c9e9b99e85" }, { "content": "In order to divide the sum in 6 shares, the amount must be divisible by 6\nDivisibility rule of 6: The sum of the digits must be divisible by 6\nSum of digits of 2,000,000 = 2 and 6 is divisible by 6.\nHence, we need to add 4 to this number for it to be divisible by 6\nCorrect Option: c\nCorrect Option:\t$2,000,004", "role": "assistant", "uuid": "eadde315-370d-452f-aa4c-53e8c0c0839a" } ]

{ "coherence": 3, "complexity": 1.63, "correctness": 2.49, "helpfulness": 2.43, "instruction-following": 2.21, "safety": 3.6, "verbosity": 1.57, "verbosity-coeff": -0.1186 }

[ { "content": "Solve 2x – 5 = 1\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)5']", "role": "user", "uuid": "aedfdf40-3c21-41c1-b665-45846f1dcc31" }, { "content": "Sol.\n2x – 5 = 1\n=> 2x = 1 + 5\n=> 2x = 6\n=> x = 3.\nAnswer : C", "role": "assistant", "uuid": "bb55fb44-1dc2-4416-bc55-a4264e50fb9d" } ]

{ "coherence": 3.13, "complexity": 1.45, "correctness": 3.07, "helpfulness": 3.17, "instruction-following": 4.01, "safety": 3.91, "verbosity": 0.94, "verbosity-coeff": -0.1121 }

[ { "content": "What would be the seventh rung of the following pyramid?\n1\n11\n21\n1211\n111221\n312211\n13112221\n\n['A)1113213211', 'B)1223213211', 'C)1527321321', 'D)1112343211', 'E)1532213211']", "role": "user", "uuid": "2a31669e-97b5-4303-a6bb-9d77b8cce88a" }, { "content": "A\n1113213211. After the first line, each line describes the previous line as follows:\nOne 1\n2 Ones\nOne 2, One 1\n(and so on...)", "role": "assistant", "uuid": "b779d7b8-28ba-4ea3-b0e5-9994bdd25ce0" } ]

{ "coherence": 2.84, "complexity": 1.72, "correctness": 2.35, "helpfulness": 2.47, "instruction-following": 2.27, "safety": 3.78, "verbosity": 1.05, "verbosity-coeff": -0.1168 }

[ { "content": "If the digits 27 in the decimal 0.00027 repeat indefinitely, what is the value of (10^5-10^3)(0.00027)?\n\n['A)0.27', 'B)0.027', 'C)27', 'D)0.0027', 'E)2.7e-06']", "role": "user", "uuid": "3c9f1233-1ef6-4914-aabc-e0f070c61eff" }, { "content": "99*0.27=26.73 approx. 27\nAnswer : C", "role": "assistant", "uuid": "9db75067-6855-4464-b833-56bb85fbcdde" } ]

{ "coherence": 2.47, "complexity": 1.2, "correctness": 1.7, "helpfulness": 1.59, "instruction-following": 1.2, "safety": 4.11, "verbosity": 0.79, "verbosity-coeff": -0.2108 }

[ { "content": "The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\n\n['A)1/45', 'B)1/42', 'C)1/46', 'D)1/48', 'E)1/43']", "role": "user", "uuid": "d38bc243-4835-4eaf-993c-73d1de165862" }, { "content": "2/3 * 6/7 * 1/3 * 1/8 = 1/42\nAnswer:B", "role": "assistant", "uuid": "d7727471-8613-4026-af72-7b216cade8e6" } ]

{ "coherence": 3.11, "complexity": 1.48, "correctness": 2.8, "helpfulness": 3, "instruction-following": 3.6, "safety": 5.09, "verbosity": 0.89, "verbosity-coeff": -0.0929 }

[ { "content": "At what rate percent per annum will a sum of money double in 10years?\n\n['A)10%', 'B)15%', 'C)18%', 'D)20%', 'E)25%']", "role": "user", "uuid": "781ebcc3-ba15-4d11-a57a-d905f4540362" }, { "content": "Let principle = P\nS.I. = P\nT = 10yrs\nRate = 100*P/P*10 = 10%\nAnswer is A", "role": "assistant", "uuid": "ecd32071-1407-4442-b6bd-897caf471c16" } ]

{ "coherence": 2.8, "complexity": 1.98, "correctness": 2.55, "helpfulness": 2.41, "instruction-following": 2.9, "safety": 4.7, "verbosity": 1.18, "verbosity-coeff": -0.1153 }

[ { "content": "Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh. If they work together how many days will they need to finish the same amount of work?\n\n['A)22/3 days', 'B)9/3 days', 'C)10/3 days', 'D)11/3 days', 'E)7/3 days']", "role": "user", "uuid": "f1de3030-847b-4c5e-bbea-d26c5534dfce" }, { "content": "Ramesh can finish a piece of work in 22 days. Rohan is twice as efficient as Ramesh.\nSo Rohan can finish a piece of work in 11 days.\ndays needed to finish the same amount of work = 1/(1/11+1/22)=22/3 days\nANSWER:A", "role": "assistant", "uuid": "78250d2a-98d3-423e-8922-cbc8087458bb" } ]

{ "coherence": 3, "complexity": 1.37, "correctness": 2.62, "helpfulness": 2.7, "instruction-following": 3.5, "safety": 5.12, "verbosity": 1.31, "verbosity-coeff": -0.1147 }

[ { "content": "If the price of gold increases by 25%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?\n\n['A)331/8%', 'B)331/3%', 'C)631/3%', 'D)332/3%', 'E)20%']", "role": "user", "uuid": "a7bd0b8e-6323-458e-b538-ed9ec6aea7e6" }, { "content": "100\n125\n------\n125-------25\n100-------? => 20%\nAnswer:E", "role": "assistant", "uuid": "014ba08e-0b33-47f5-bf2a-104b2d0ecd7b" } ]

{ "coherence": 2.53, "complexity": 1.54, "correctness": 1.82, "helpfulness": 1.79, "instruction-following": 1.96, "safety": 5.79, "verbosity": 1.18, "verbosity-coeff": -0.1155 }

[ { "content": "What quantity of water should be added to reduce 20 liters of 80% acidic liquid to 20% acidic liquid?\n\n['A)30liters', 'B)50liters', 'C)60liters', 'D)70liters', 'E)80liters']", "role": "user", "uuid": "a63bd599-b7d6-4b6b-a1bf-eb7dbf71d9bf" }, { "content": "Acid in 20 liters = 80% of 20 = 16 liters\nSuppose x liters of water be added.\nThen 16 liters of acid in 20+x liters of diluted solution\n20% of 20+x = 16\n20+x = 80\nx = 60liters\nAnswer is C", "role": "assistant", "uuid": "0496da40-65da-4b02-80a1-470b07aab3ac" } ]

{ "coherence": 2.88, "complexity": 2.14, "correctness": 2.27, "helpfulness": 2.27, "instruction-following": 3.07, "safety": 5.05, "verbosity": 1.17, "verbosity-coeff": -0.1127 }

[ { "content": "How many 2's are there between the terms 112 to 375?\n\n['A)156', 'B)157', 'C)158', 'D)159', 'E)160']", "role": "user", "uuid": "795b4415-1417-4036-aa4e-9feeaba62790" }, { "content": "Let us calculate total 2's in the units place. (122, 132, 142 ... 192), (201, 212, 222, ... 292), (302, 312, ... 372) = 8 + 10 + 8 = 26\nTotal 2's in tenth's place, (120, 121, 122, ..., 129) + (220, 221, ..., 229) + (320, 321, ..., 329) = 30\nTotal 2's in hundred's place = (200, 201, ... 299) = 100.\nTotal 2's between 112 and 375 = 26 + 30 + 100 = 156\nAnswer:A", "role": "assistant", "uuid": "82772904-89e4-48f5-b3c4-61d000b7b695" } ]

{ "coherence": 3.05, "complexity": 1.42, "correctness": 2.53, "helpfulness": 2.49, "instruction-following": 3.52, "safety": 4.62, "verbosity": 1.34, "verbosity-coeff": -0.1115 }

[ { "content": "A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 36 per kg. His profit percent is:\n\n['A)No profit, no loss', 'B)26%', 'C)8%', 'D)10%', 'E)None of these']", "role": "user", "uuid": "ee2c5607-6929-4fa9-8d59-4b0e83dfcbc3" }, { "content": "Explanation :\nC.P. of 56 kg rice = (26 * 20 + 30 * 36) Rs. = (520 + 1080) Rs. = 1600 Rs.\nS.P. of 56 kg rice = (56 * 36) Rs. = 2016 Rs.\nProfit % = (2016−1600/1600∗100)% = 26%\nAnswer : B", "role": "assistant", "uuid": "6cd588cc-1392-4a59-8e59-c41935bcc0cb" } ]

{ "coherence": 3.11, "complexity": 1.74, "correctness": 2.84, "helpfulness": 3.02, "instruction-following": 3.62, "safety": 4.54, "verbosity": 1.13, "verbosity-coeff": -0.1221 }

[ { "content": "A number is doubled and 9 is added. If the resultant is trebled, it becomes 63. What is that number?\n\n['A)3.5', 'B)6', 'C)8', 'D)7', 'E)4']", "role": "user", "uuid": "1002fa84-8031-4cca-afb5-f10f6ae1d440" }, { "content": "Let the number be x. Then,\n3(2x + 9) = 63\n2x = 12 => x = 6\nANSWER:B", "role": "assistant", "uuid": "2394a380-fb90-43b9-b853-9cdbc88890a0" } ]

{ "coherence": 3.09, "complexity": 1.39, "correctness": 2.37, "helpfulness": 2.55, "instruction-following": 3.64, "safety": 4.62, "verbosity": 0.72, "verbosity-coeff": -0.1044 }

[ { "content": "If 12 ounces of a strong vinegar solution are diluted with 48 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?\n\n['A)15%', 'B)18%', 'C)20%', 'D)21%', 'E)24%']", "role": "user", "uuid": "acad785d-da6f-4807-bbb1-e887ce880211" }, { "content": "Let x be the concentration of the original solution.\n12x = 0.03(60)\nx = 0.15\nThe answer is A.", "role": "assistant", "uuid": "acac0400-6b27-4964-b93f-c10de4df3c4f" } ]

{ "coherence": 3.23, "complexity": 1.83, "correctness": 2.25, "helpfulness": 2.27, "instruction-following": 2.53, "safety": 4.89, "verbosity": 0.85, "verbosity-coeff": -0.2073 }

[ { "content": "Two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 60 km and the other at the rate of 90 kmph. In what time will they be completely clear of each other from the moment they meet?\n\n['A)4.85', 'B)7.85', 'C)6.85', 'D)5.85', 'E)6.62']", "role": "user", "uuid": "04beac4a-6999-49a9-b686-e948d89fbf7c" }, { "content": "T = (111 + 165)/ (60 + 90) * 18/5\nT = 6.62\nANSWER:E", "role": "assistant", "uuid": "06946df1-dc5f-421f-9363-bd1711cfed89" } ]

{ "coherence": 2.51, "complexity": 1.52, "correctness": 1.86, "helpfulness": 2.06, "instruction-following": 3.35, "safety": 4.81, "verbosity": 1.08, "verbosity-coeff": -0.1113 }

[ { "content": "If X is the sum of first 10 positive even integers and Y is the sum of first 10 positive odd integers, what is the value of x-y?\nPlease try to explain your answers\n\n['A)10', 'B)25', 'C)50', 'D)75', 'E)100']", "role": "user", "uuid": "afd02ac4-5f50-4878-8831-1ec569192cd2" }, { "content": "First even minus first odd = 2-1 = 1;\nThe sum of first 2 even integers minus the sum of first 2 odd integers = (2+4)-(1+3) = 2;\nThe sum of first 3 even integers minus the sum of first 3 odd integers = (2+4+6)-(1+3+5) = 3;\nWe can see the patterns here, so the sum of first 10 positive even integers minus the sum of first 10 positive odd integers will be 10.\nAnswer: A.", "role": "assistant", "uuid": "c1d07355-1f8f-457d-bf35-c081ec384441" } ]

{ "coherence": 2.92, "complexity": 1.34, "correctness": 2.37, "helpfulness": 2.45, "instruction-following": 2.47, "safety": 5.55, "verbosity": 0.93, "verbosity-coeff": -0.1191 }

[ { "content": "A man’s speed with the current is 19 km/hr and the speed of the current is 2.5 km/hr. the man’s speed against the current is :\n\n['A)8.5 km/hr', 'B)9.5 km/hr', 'C)10 km/hr', 'D)14 km/hr', 'E)None of these']", "role": "user", "uuid": "336bee12-3f6f-4208-a014-385a3b165fcf" }, { "content": "Solution\nMan's rate in still water = (19-2.5) km/hr = 16.5 km/hr.\nMan's rate against the current = (16.5-2.5) km/hr = 14 km/hr Answer D", "role": "assistant", "uuid": "055c3d60-a549-4310-8d2d-af9aa9be41f7" } ]

{ "coherence": 3.37, "complexity": 0.94, "correctness": 2.98, "helpfulness": 2.96, "instruction-following": 3.48, "safety": 5.32, "verbosity": 0.51, "verbosity-coeff": -0.1174 }

[ { "content": "A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $150,000 and $200,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?\n\n['A)700', 'B)720', 'C)740', 'D)680', 'E)690']", "role": "user", "uuid": "5d385125-48dd-485f-8be1-2c6c2ac22923" }, { "content": "(1) 2(150)+300+2(500) = 1600\n1600*0.95=1520 (Revenue considering the minimum values with the discount)\n(2) 2(200)+300+2(750) = 2200 (Revenue considering the maximum values without the discount)\nSo, the the revenue range could be = 2200 - 1520 = 680\nD", "role": "assistant", "uuid": "589dcd5e-7f91-4fef-b57f-c3898bdc40d8" } ]

{ "coherence": 2.76, "complexity": 1.3, "correctness": 1.97, "helpfulness": 1.92, "instruction-following": 2.02, "safety": 3.5, "verbosity": 0.88, "verbosity-coeff": -0.1374 }

[ { "content": "An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 4 businessmen, how many possible team submissions are possible?\n\n['A)52', 'B)100', 'C)162', 'D)198', 'E)202']", "role": "user", "uuid": "9349874c-4da1-4f0f-ae85-4893d74b6c15" }, { "content": "We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 4C2 =24\n2) 2 tech1 businessman: 4C2 x 4C1 = 24\n3) 3 tech0 businessmen: 4C3 = 4\nTotal:24+24+4 = 52\nAnswer: A", "role": "assistant", "uuid": "1e141854-452d-4563-a056-60bbdbb2c072" } ]

{ "coherence": 2.86, "complexity": 1.52, "correctness": 2.74, "helpfulness": 2.59, "instruction-following": 3.43, "safety": 4.48, "verbosity": 1.1, "verbosity-coeff": -0.1344 }

[ { "content": "A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/8 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?\n\n['A)1/4', 'B)1/5', 'C)1/6', 'D)1/8', 'E)1/24']", "role": "user", "uuid": "7f129cf8-a0c7-4f77-95ec-4b220ad4b1e2" }, { "content": "Let x be the number of upgraded sensors on the satellite.\nThe number of non-upgraded sensors per unit is x/8.\nThe number of non-upgraded sensors on the whole satellite is 24(x/8) = 3x.\nThe fraction of sensors which have been upgraded is x / (x+3x) = x/4x = 1/4\nThe answer is A.", "role": "assistant", "uuid": "2276b99d-4d00-42c3-b759-9cfd9b3c3155" } ]

{ "coherence": 3.43, "complexity": 1.57, "correctness": 2.9, "helpfulness": 3.09, "instruction-following": 3.45, "safety": 5.59, "verbosity": 1.23, "verbosity-coeff": -0.2083 }

[ { "content": "John, Mac and Tonny together can do a work in 20 days. John alone can do the work in 80 days and Mac alone can do the same work in 70 days. Find in what time Tonny alone can do that work?\n\n['A)50days', 'B)43.08days', 'C)53.80days', 'D)35days', 'E)44.50days']", "role": "user", "uuid": "78296fb4-0dde-4206-9646-00b9423d9de7" }, { "content": "The required answer is = 20*80*70 / 80*70-20(80+70)\n= 112000/2600 = 43.08days\nAnswer is B", "role": "assistant", "uuid": "48fb9fb6-1c4f-45dc-a366-5472cea144bd" } ]

{ "coherence": 2.82, "complexity": 1.2, "correctness": 1.8, "helpfulness": 1.81, "instruction-following": 2.96, "safety": 6.14, "verbosity": 0.59, "verbosity-coeff": -0.1166 }

[ { "content": "At what time between 3 and 4 o'clock the hands are in opposite direction?\n\n['A)49 1/11 min past 3', 'B)16 min past 3', 'C)2 min past 4', 'D)3 2/11 min past 3', 'E)4 2/11 min past 3']", "role": "user", "uuid": "4fe9a7fc-da31-4a1b-9183-fb37e61acb7b" }, { "content": "at 3'0 clock the minutes hand will be 15 min away from hours hand\nboth hands are opposite when they are 30 minutes away from each other\nso,min hand has to gain 45 mins\nto gain 1 min minute hand 12/11minutes=45*12/11=49 1/11\nans:49 1/11\nANSWER:A", "role": "assistant", "uuid": "9d258eeb-7545-40a2-8418-d57a9e617f47" } ]

{ "coherence": 2.49, "complexity": 2.16, "correctness": 2.31, "helpfulness": 2.29, "instruction-following": 2.45, "safety": 5.52, "verbosity": 2, "verbosity-coeff": -0.1405 }

[ { "content": "If an object travels at two feet per second, how many feet does it travel in one hour?\n\n['A)3488', 'B)3778', 'C)7200', 'D)1800', 'E)2881']", "role": "user", "uuid": "8477b320-dda7-43a3-acef-8fdb01463600" }, { "content": "Explanation:\nIf an object travels at 2 feet per second it covers 2x60 feet in one minute, and 2x60x60 feet in one hour.\nAnswer = 7200\nAnswer: C) 7200", "role": "assistant", "uuid": "e3b481a1-9616-42d6-ab27-4bead84de472" } ]

{ "coherence": 3.31, "complexity": 0.81, "correctness": 3.23, "helpfulness": 3.52, "instruction-following": 3.58, "safety": 4.62, "verbosity": 0.82, "verbosity-coeff": -0.085 }

[ { "content": "A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 35,000, what will be the amount A receives?\n\n['A)14200', 'B)14700', 'C)14800', 'D)14500', 'E)None of these']", "role": "user", "uuid": "3aca07c6-c2cf-440d-a4c2-019094ef7560" }, { "content": "Explanation :\nTotal amount invested = 50000\nAssume that investment of C = x.\nThen investment of B = 5000 + x ,\nInvestment of A = 4000 + 5000 + x = 9000 + x\nx + 5000+x + 9000 + x = 50000\n=> 3x + 14000 = 50000\n=> 3x = 50000 – 14000 = 36000\n=> x = 36000/3 = 12000\n=> Investment of C = x = 12000 ,\nInvestment of B = 5000 + x = 17000,\nInvestment of A = 9000 + x = 21000\nRatio of the investment of A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12\nShare of A = Total Profit * 21/50 = 35000 * 21/50 = 700*21 = 14700, Answer : Option B", "role": "assistant", "uuid": "d02488f0-cb70-4d4a-a221-c2b227e41203" } ]

{ "coherence": 2.92, "complexity": 1.81, "correctness": 2.49, "helpfulness": 2.76, "instruction-following": 3.17, "safety": 4.54, "verbosity": 0.9, "verbosity-coeff": -0.1183 }

[ { "content": "How many 5-letter words can be formed using the letters of the English alphabet that contain 3 different vowels and 2 different consonants?\n\n['A)4!*5c3', 'B)4!*5c3 *21c2', 'C)4!*21c2', 'D)3!*5c3 *21c2', 'E)5!*5c3 *21c2']", "role": "user", "uuid": "6eab1b88-4084-49ac-bbaf-db185111d29b" }, { "content": "combination for 2 vowels out of 5 =5c3 ways\ncombination for 3 consonants of 21 = 21c2 ways\nAdditionally the arrangement can be = 5!\ntotal arrangements =4!*5c3 *21c2\nB", "role": "assistant", "uuid": "a4475a4a-9945-4d79-8754-4d8dd5ac61bf" } ]

{ "coherence": 2.74, "complexity": 2, "correctness": 2.33, "helpfulness": 2.47, "instruction-following": 3, "safety": 4.25, "verbosity": 1.26, "verbosity-coeff": -0.1081 }

[ { "content": "In what ratio should a variety of rice costing Rs. 6 per kg be mixed with another variety of rice costing Rs. 8.75 per kg to obtain a mixture costing Rs. 7.50 per kg?\n\n['A)5/6', 'B)3/9', 'C)5/0', 'D)5/3', 'E)5/9']", "role": "user", "uuid": "3b49c474-3ee7-470b-aaad-7620132ceccf" }, { "content": "Explanation:\nLet us say the ratio of the quantities of cheaper and dearer varieties = x : y\nBy the rule of allegation, x/y = (87.5 - 7.50) / (7.50 - 6) = 5/6\nAnswer: Option A", "role": "assistant", "uuid": "93b58919-8689-48d4-8240-75525cd5b229" } ]

{ "coherence": 2.86, "complexity": 1.6, "correctness": 2.14, "helpfulness": 2.62, "instruction-following": 2.98, "safety": 5.91, "verbosity": 1.05, "verbosity-coeff": -0.1553 }

[ { "content": "If x and y are two-single digit integers such that x < 40 and y<7, which of the following is closest to the maximum possible value of xy ?\n\n['A) 700', 'B) 2,800', 'C) 4,000', 'D) 7,000', 'E) 63']", "role": "user", "uuid": "d86cbbd3-a539-4e6b-90c2-20b160b6963d" }, { "content": "To get the maximum possible value of xy, we need maximize the value of both x and y\nmax x can be = 9 (given x is a two-digit integer < 40)\nmax y can be = 7 (given y is a two-digit integer < 7)\nxy = 9*7 = 63\nAnswer (E)", "role": "assistant", "uuid": "67cd2ca9-233a-4688-b3d5-6fad4c5333f2" } ]

{ "coherence": 2.45, "complexity": 1.44, "correctness": 1.23, "helpfulness": 1.38, "instruction-following": 1.73, "safety": 4.85, "verbosity": 0.6, "verbosity-coeff": -0.2121 }

[ { "content": "The ratio between the length and the breadth of a rectangular park is 5 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then thearea of the park (in sq. m) is?\n\n['A)124545 m', 'B)134561 m', 'C)156787 m', 'D)15450 m', 'E)150000 m']", "role": "user", "uuid": "02a9c721-2bc8-4294-8b31-8fc9d8c9841d" }, { "content": "Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.\n60\nLet length = 5x metres and breadth = 3x metres.\nThen, 2(5x + 3x) = 1600 or x = 100.\nLength = 500 m and Breadth = 300 m.\nArea = (500 x 300) m2 = 150000 m\nE", "role": "assistant", "uuid": "f6a59739-bce6-46e5-a8de-1d07120773c2" } ]

{ "coherence": 2.64, "complexity": 1.09, "correctness": 1.71, "helpfulness": 1.9, "instruction-following": 3.15, "safety": 6.1, "verbosity": 0.89, "verbosity-coeff": -0.1212 }

[ { "content": "Basmati rice costs $(a−b) per kilogram in standard 7 kilogram packages, where a>b>0, and $(a) per kilogram in non-standard packages. In terms of a and b, what is the lowest possible price of exactly 24 kilograms of Basmati rice, in dollars?\n\n['A)24a−3b', 'B)21a−3b', 'C)24a−21b', 'D)21a−21b', 'E)21a−24b']", "role": "user", "uuid": "d8f3c441-c10c-418d-b6d8-5297300d23b3" }, { "content": "$(a-b) per kg in standard 7kg packs and $a per kg in non std packs.\nFor 24 kg we can use 3 packs of 7 kg and 3 non std packs of 1 kg each.\nLeading to 3*7*(a-b)+3a= 21a- 21b+3a=\n24a-21b.\nANSWER:C", "role": "assistant", "uuid": "6a447cb3-4f2e-4280-a087-e2e562a796d9" } ]

{ "coherence": 2.9, "complexity": 1.9, "correctness": 2.55, "helpfulness": 2.64, "instruction-following": 3.19, "safety": 4.66, "verbosity": 1.38, "verbosity-coeff": -0.2428 }

[ { "content": "If s and t are positive integers, st + s + t cannot be\n\n['A)5', 'B)6', 'C)7', 'D)8', 'E)9']", "role": "user", "uuid": "e47928b3-00d2-4d1f-a4ea-88e977c7a3d1" }, { "content": "Let st + t + s = x\nAdd 1 on both sides:\nst + t + s + 1 = x + 1\nt(s + 1) + s + 1 = x + 1\n(s + 1)(t + 1) = x + 1\nMinimum value of (s + 1) = 2\nMinimum value of (t + 1) = 2\nHence x + 1 cannot be prime\nSubstitute x from the given options: 6 + 1 = 7 --> prime --> st + t + s cannot be 6\nAnswer: B", "role": "assistant", "uuid": "1c786739-1f60-4b7f-be80-a60c5d4f9ce7" } ]

{ "coherence": 2.61, "complexity": 2.25, "correctness": 2.41, "helpfulness": 2.39, "instruction-following": 2.72, "safety": 4.73, "verbosity": 1.3, "verbosity-coeff": -0.1817 }

[ { "content": "r, b, and c are positive integers. If r, b, and c are assembled into the six-digit number rbcrbc, which one of the following must be a factor of rbcrbc?\n\n['A) 16', 'B) 13', 'C) 5', 'D) 3', 'E) none of the above']", "role": "user", "uuid": "2f9c42d6-efcc-4e23-b617-a29763fe5e21" }, { "content": "Plug in some values and check -\nrbcrbc = 123123\nNot divisible by 16 and 5\nlet rbcrbc = 125125\nNot divisible by 3\nOnly option (B) and (E) is left in both the cases...\nCheck once more to marke (B) as correct answer\nlet rbcrbc = 135135\nAgain divisible by 13\nSo, mark answer as (B) 13", "role": "assistant", "uuid": "fd129b61-e7a2-48da-8180-b80dcfa34293" } ]

{ "coherence": 2.62, "complexity": 2.27, "correctness": 1.79, "helpfulness": 1.79, "instruction-following": 2.43, "safety": 4.5, "verbosity": 1.46, "verbosity-coeff": -0.2095 }

[ { "content": "The greatest number of four digits which is divisible by 7, 10, 40 and 60 is:\n\n['A)9200', 'B)9300', 'C)9400', 'D)8400', 'E)7400']", "role": "user", "uuid": "ddb72a13-6b7c-4dae-9ec9-59809ec74a0f" }, { "content": "Greatest number of 4-digits is 9999.\nL.C.M. of 7, 10, 40 and 60 is 4200.\nOn dividing 9999 by 4200, the remainder is 1599.\nRequired number (9999 - 1599) = 8400.\nANSWER :D", "role": "assistant", "uuid": "fd777f28-d6ac-4e0f-958d-d76a98dc0f80" } ]

{ "coherence": 2.66, "complexity": 2.2, "correctness": 2.47, "helpfulness": 2.49, "instruction-following": 2.92, "safety": 5.63, "verbosity": 1.84, "verbosity-coeff": -0.1432 }

[ { "content": "If selling price is doubled, the profit triples. Find the profit percent.\n\n['A)200/3', 'B)100', 'C)316/3', 'D)120', 'E)None of these']", "role": "user", "uuid": "ceeb8d66-976c-40be-ae14-37453cc049c2" }, { "content": "Explanation :\nLet the C.P. be x and the S.P. be y\nSo the profit is (y - x) ---------------------------- (1)\nNow, the S.P. is doubled. So the new S.P. = 2y\nThe new profit = (2y - x)\nGiven that when S.P. is doubled, profit increases 3 times\n=> New profit = 3 * old profit\n=> (2y - x) = 3(y - x)\n=> y = 2x\nSo, the profit = (y - x) = (2x - x) = x\n% profit = (x/x∗100)% = 100%\nAnswer : B", "role": "assistant", "uuid": "92a75483-2015-4e7b-a504-b5be077584aa" } ]

{ "coherence": 2.9, "complexity": 2.31, "correctness": 2.62, "helpfulness": 2.66, "instruction-following": 2.53, "safety": 4.44, "verbosity": 1.87, "verbosity-coeff": -0.1251 }

[ { "content": "In how many different ways can the letters of the word OPTICAL be arranged so that the vowels always come together?\n\n['A)610', 'B)720', 'C)825', 'D)920', 'E)925']", "role": "user", "uuid": "4dfe7c30-da24-45ec-a21a-8814d4eea0be" }, { "content": "The word 'OPTICAL' contains 7 different letters.\nWhen the vowels OIA are always together, they can be supposed to form one letter.\nThen, we have to arrange the letters PTCL (OIA).\nNow, 5 letters can be arranged in 5! = 120 ways.\nThe vowels (OIA) can be arranged among themselves in 3! = 6 ways.\nRequired number of ways = (120 x 6) = 720.\nANSWER:B", "role": "assistant", "uuid": "6474044d-f316-438b-8e24-727176b41577" } ]

{ "coherence": 2.8, "complexity": 2.06, "correctness": 2.31, "helpfulness": 2.47, "instruction-following": 3.64, "safety": 4.81, "verbosity": 1.92, "verbosity-coeff": -0.1449 }

[ { "content": "If r is the smallest positive integer that is not prime and not a factor of 50!, what is the sum of the factors of r?\n\n['A)51', 'B)162', 'C)72', 'D)54', 'E)50!+2']", "role": "user", "uuid": "f084fdf6-c22f-44fe-8075-1851ff2ebc12" }, { "content": "In fact 51=3*17 IS a factor of 50!.\nThe smallest positive integer that is NOT prime and NOT a factor of 50! is 106=2*53. The sum of the factors of 106 is 162.\nAnswer: B.", "role": "assistant", "uuid": "551d32a0-c9c9-48de-8109-cee677e6fa83" } ]

{ "coherence": 3.31, "complexity": 1.59, "correctness": 2.37, "helpfulness": 2.47, "instruction-following": 2.16, "safety": 4.44, "verbosity": 1.19, "verbosity-coeff": -0.2253 }

[ { "content": "How many 6-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example\n\n['A)100', 'B)610', 'C)729', 'D)900', 'E)1000']", "role": "user", "uuid": "bb816549-3799-4542-9a2e-dba980f1e6d8" }, { "content": "The hundred-thousand's digit won't be zero or else it's no longer a 6 digit integer (you could form a palindromic number with five digits though). The subesquent two digits, ten-thousand's and thousand's digit, can be 10 different numbers each, zero - nine. Thus,\n9∗10∗10∗1∗1∗1=9009∗10∗10∗1∗1∗1=900 Answer D", "role": "assistant", "uuid": "5471481b-e79c-47cb-97b2-a913599c06dc" } ]

{ "coherence": 1.86, "complexity": 1.79, "correctness": 1.6, "helpfulness": 1.38, "instruction-following": 1.89, "safety": 4.32, "verbosity": 1.43, "verbosity-coeff": -0.1109 }

[ { "content": "In the list 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?\n\n['A)2/9', 'B)1/3', 'C)2/5', 'D)2/3', 'E)7/9']", "role": "user", "uuid": "0a52d400-3fd0-4d4b-b048-a25e14c68cff" }, { "content": "highest frequent term in the set is 5 (with frequency 4) hence\nMode = 5\ntwo terms (3, 4) out of a total of 9 terms are less than mode of the set.\nFraction of set that are less than Mode of set = 2/9\nAnswer: Option A", "role": "assistant", "uuid": "a3164767-f783-4f92-890d-103f91beca92" } ]

{ "coherence": 2.76, "complexity": 1.42, "correctness": 3, "helpfulness": 2.84, "instruction-following": 3.39, "safety": 5.55, "verbosity": 1.46, "verbosity-coeff": -0.1219 }

[ { "content": "A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?\n\n['A)10', 'B)8', 'C)6', 'D)4', 'E)2']", "role": "user", "uuid": "2ec26d26-54e3-48b3-84c8-a4578de835c0" }, { "content": "Explanation:\nDistance = 110 m\nRelative speed = 60 + 6 = 66 kmph (Since both the train and the man are in moving in opposite direction)\n= m/sec = m/sec\nTime taken to pass the man = = 6 s\nANSWER IS C", "role": "assistant", "uuid": "1ed5216c-59ab-49ad-9327-6e3c00299f9d" } ]

{ "coherence": 2.12, "complexity": 1.87, "correctness": 1.82, "helpfulness": 2, "instruction-following": 2.7, "safety": 5.4, "verbosity": 1.11, "verbosity-coeff": -0.1238 }

[ { "content": "On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and also took their cars abroad the ship. If 40 percent of the passengers with round-trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round-trip tickets?\n\n['A)33.3%', 'B)40%', 'C)50%', 'D)60%', 'E)66.6%']", "role": "user", "uuid": "d6f71ec3-dbcf-4743-9985-e8687b10ca4d" }, { "content": "0.20P = RT + C\n0.4(RT) = no C\n=> 0.60(RT) had C\n0.20P = 0.60(RT)\nRT/P = 1/3=33%\nAnswer - A", "role": "assistant", "uuid": "d577284e-a070-4ced-9b8a-ca896b8a5c62" } ]

{ "coherence": 2.68, "complexity": 1.61, "correctness": 2.27, "helpfulness": 2.21, "instruction-following": 2.62, "safety": 5.55, "verbosity": 0.79, "verbosity-coeff": -0.1989 }

[ { "content": "By selling 100 pencil, a trader gains the cost of 40 Pencil. Find his gain percentage?\n\n['A)26 1/3%', 'B)51 1/3%', 'C)40%', 'D)53 1/3%', 'E)34 1/3%']", "role": "user", "uuid": "f2cd7d53-9457-4bcf-95a5-efc33cbe8d8f" }, { "content": "C\n40%\nLet the CP of each pencil be Rs. 1.\nCP of 100 pens = Rs. 100\nProfit = Cost of 40 pencil = Rs. 40\nProfit% = 40/100 * 100 = 40%", "role": "assistant", "uuid": "7b63f2d8-317b-4d01-bcbf-f462bc80f565" } ]

{ "coherence": 3.5, "complexity": 2.21, "correctness": 3.37, "helpfulness": 3.45, "instruction-following": 3.41, "safety": 4.23, "verbosity": 1.16, "verbosity-coeff": -0.1151 }

[ { "content": "There are 16 bees in the hive , then 9 more fly. How many bees are there in all?\n\n['A)7', 'B)33', 'C)12', 'D)17', 'E)25']", "role": "user", "uuid": "14c86564-fd77-44ac-9c59-d3de0e1f0d10" }, { "content": "16+9=25 . Answer is E.", "role": "assistant", "uuid": "d8ad687d-1764-4723-b62c-69257fe8195c" } ]

{ "coherence": 3.17, "complexity": 0.57, "correctness": 2.94, "helpfulness": 3.05, "instruction-following": 3.48, "safety": 4.89, "verbosity": 0.79, "verbosity-coeff": -0.0897 }

[ { "content": "The ratio of investments of two partners A and B is 7:5 and the ratio of their profits is 7:10. If A invested the money for 5 months, find for how much time did B invest the money ?\n\n['A)11 months', 'B)9 months', 'C)7 months', 'D)10 months', 'E)NONE OF THESE']", "role": "user", "uuid": "cb83184f-e2b3-48a7-bf06-a88f9debd6c1" }, { "content": "Explanation:\n7x5: 5xk = 7:10\nk = 10 months\nANSWER IS D", "role": "assistant", "uuid": "2175d67f-14d3-4d50-b13f-17ea2aec677a" } ]

{ "coherence": 2.78, "complexity": 1.28, "correctness": 2.45, "helpfulness": 2.72, "instruction-following": 3.25, "safety": 6.1, "verbosity": -0.11, "verbosity-coeff": -0.1313 }

[ { "content": "A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?\n\n['A)20', 'B)30', 'C)35', 'D)40', 'E)50']", "role": "user", "uuid": "b286981f-f7b5-4c5d-86cc-2fa85a8d70d7" }, { "content": "Sol. Distance between Ramgarh and Devgarh =(50*44)/60=110/3\nAverage speed of the bus is increased by 5 km/hr then the\nspeed of the bus = 55 km/hr\nRequired time = 110/3*60/55 = 40 min\nD", "role": "assistant", "uuid": "5f09d6ad-5a14-435d-bf4f-4ceb3664ce8f" } ]

{ "coherence": 2.61, "complexity": 1.59, "correctness": 1.99, "helpfulness": 2.16, "instruction-following": 2.98, "safety": 6.69, "verbosity": 1.36, "verbosity-coeff": -0.1222 }

[ { "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)11.4', 'C)11.2', 'D)11.5', 'E)11.1']", "role": "user", "uuid": "b5105e5b-7e8b-4633-9c0d-efd7689600e7" }, { "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": "5c2f3d3a-4889-45eb-8eab-83c052d1d0cc" } ]

{ "coherence": 3.02, "complexity": 1.35, "correctness": 2.31, "helpfulness": 2.72, "instruction-following": 3.27, "safety": 5.28, "verbosity": 0.99, "verbosity-coeff": -0.1116 }