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[ { "content": "Mangala completes a piece of work in 20 days, Raju completes the same work in 30 days. If both of them work together, then the number of days required to complete the work is\n\n['A)4 days', 'B)6 days', 'C)8 days', 'D)10 days', 'E)12 days']", "role": "user", "uuid": "2da36693-3afe-4f60-b9a3-9671362d5ab4" }, { "content": "If A can complete a work in x days and B can complete the same work in y days, then, both\nof them together can complete the work in x y/ x+ y days.\nThat is, the required No. of days = 20 × 30/50 = 12 days.\nAnswer : E", "role": "assistant", "uuid": "01b00049-152e-4f2f-8a6b-3d2773e155aa" } ]

{ "coherence": 2.76, "complexity": 1.28, "correctness": 2.51, "helpfulness": 2.72, "instruction-following": 3.7, "safety": 4.89, "verbosity": 1.26, "verbosity-coeff": -0.1164 }

[ { "content": "(1/5)^w * (1/4)^18 = 1/(2(10)^35). What is w?\n\n['A)17', 'B)18', 'C)34', 'D)35', 'E)36']", "role": "user", "uuid": "d5aef386-4461-4959-beff-75d63a06c610" }, { "content": "We need to arrive at a common base. -->\n(5)^(-w) * 2^(-36) = 2^(-36)*5^(-35)\n5^(-w)=5^(-35)\n-w=-35\nw=35=D", "role": "assistant", "uuid": "2c063a73-e48c-464f-9677-1d880b2a2bd8" } ]

{ "coherence": 3.02, "complexity": 2.16, "correctness": 2.29, "helpfulness": 2.02, "instruction-following": 2.55, "safety": 5.36, "verbosity": 0.92, "verbosity-coeff": -0.1464 }

[ { "content": "Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 12 even numbers. His mother immediately worked out the answer. How much had he scored in Math?\n\n['A)156', 'B)146', 'C)158', 'D)187', 'E)160']", "role": "user", "uuid": "b33614b4-dd40-497c-b197-44667fbf66b2" }, { "content": "A\n156\nSum = (n x n) + n\nHence, 12 x 12 = 144 + 12 = 156", "role": "assistant", "uuid": "8c9d8b18-e81f-44c7-a02c-93b2c9521437" } ]

{ "coherence": 2.53, "complexity": 1.16, "correctness": 1.73, "helpfulness": 2.29, "instruction-following": 1.84, "safety": 4.25, "verbosity": 0.44, "verbosity-coeff": -0.121 }

[ { "content": "The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?\n\n['A)246', 'B)248', 'C)1292', 'D)15,128', 'E)30,256']", "role": "user", "uuid": "d02b4ad4-bb45-44b1-8029-c163f9a4403d" }, { "content": "# of 2-letter codes possible from 324 different signs = 324*324.\n# of 2-letter codes possible from 322 different signs = 322*322.\nThe difference = 324^2 - 322^2 = (324 - 322)(324 + 322) = 1292.\nAnswer: C.", "role": "assistant", "uuid": "57368632-e029-4d9a-8a18-715f797a1125" } ]

{ "coherence": 2.59, "complexity": 1.32, "correctness": 1.88, "helpfulness": 2.25, "instruction-following": 3.04, "safety": 5.67, "verbosity": 1.42, "verbosity-coeff": -0.2174 }

[ { "content": "In a group of 100 cars, 37 cars do not have air conditioning. If at least 41 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?\n\n['A)45', 'B)47', 'C)59', 'D)51', 'E)53']", "role": "user", "uuid": "26e9f404-883a-457e-8a60-44b1d84ed582" }, { "content": "Lets assume AC=63(includesonly AC carsandcars with AC and racing stripes)\nlets assume RS(racing stripes)>=41(includescars with AC and racing stripesandonly racing stripes).\nNow since we want to maximize(only AC) we have to see to it thatcars with AC and racing stripesis minimal(assume 0) But since RS>=41.. we have to assign atleast 4 tocars with AC and racing stripes.\nHence AC=63-4=59.\nThe answer is", "role": "assistant", "uuid": "d4bba074-37d3-44cd-a7be-da9fc890b13c" } ]

{ "coherence": 2.12, "complexity": 1.51, "correctness": 1.64, "helpfulness": 1.85, "instruction-following": 1.67, "safety": 6.65, "verbosity": 1.52, "verbosity-coeff": -0.1972 }

[ { "content": "The present worth of $3600 due in 2 years at 20% per annum compound interest is?\n\n['A)$1200', 'B)$1850', 'C)$2010', 'D)$3200', 'E)$2500']", "role": "user", "uuid": "c305a871-1b53-4493-a203-8ca47b165dda" }, { "content": "Present worth = 3600/ (1 + 20/100)^2 = 3600 * 5/6 * 5/6 = $2500\nAnswer is E", "role": "assistant", "uuid": "e6eedd2c-047e-40f5-a3f7-1e2c4c86a1f7" } ]

{ "coherence": 2.86, "complexity": 1.25, "correctness": 2.2, "helpfulness": 2.31, "instruction-following": 3.15, "safety": 4.58, "verbosity": 1.34, "verbosity-coeff": -0.1076 }

[ { "content": "Find the probability that a non leap year selected at random will have 53 Sundays\n\n['A)6/7', 'B)5/7', 'C)4/7', 'D)3/7', 'E)1/7']", "role": "user", "uuid": "1868f11b-752a-41f7-b9a4-ef5cf4cb711e" }, { "content": "There are 365 days in a leap year: 52 weeks and 1 more days. So, 52 Sundays and 1 days.\nThis 1 days can be {Mon, Tue, Wed, Thu, Fri, Sat,Sun} (7 cases). In order to have 53 Sundays we should have Sun case.\nThe probability of that is 1/7.\nAnswer: E.", "role": "assistant", "uuid": "2d7600b1-bc4c-4163-951d-3644648815f1" } ]

{ "coherence": 2.96, "complexity": 1.56, "correctness": 2.29, "helpfulness": 2.21, "instruction-following": 2.12, "safety": 4.32, "verbosity": 1, "verbosity-coeff": -0.1066 }

[ { "content": "What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds?\n\n['A)390', 'B)420', 'C)450', 'D)480', 'E)510']", "role": "user", "uuid": "f89e8b6a-6230-49d3-a178-199833d1dada" }, { "content": "54 km/hr = 54 * 5/18 = 15 m/s\ndistance = 15 * 30 = 450 meters\nThe answer is C.", "role": "assistant", "uuid": "2d8524eb-a655-40c8-bb61-08c2acd673ae" } ]

{ "coherence": 3.37, "complexity": 1.65, "correctness": 3.52, "helpfulness": 3.68, "instruction-following": 3.84, "safety": 4.13, "verbosity": 1.01, "verbosity-coeff": -0.122 }

[ { "content": "20 % of 2 is equal to\n\n['A)0.2', 'B)0.3', 'C)0.4', 'D)0.5', 'E)0.6']", "role": "user", "uuid": "82207135-e5d6-48a1-887b-3d4a3ca1f4c1" }, { "content": "20 % of 2 = (20 / 100) * 2 = 0.4\nANSWER (C) =0.4", "role": "assistant", "uuid": "73ea027a-519e-450e-a744-830c3a4fa61f" } ]

{ "coherence": 3.31, "complexity": 1.46, "correctness": 3.45, "helpfulness": 3.56, "instruction-following": 3.54, "safety": 3.33, "verbosity": 1.01, "verbosity-coeff": -0.0903 }

[ { "content": "Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is :\n\n['A)9', 'B)11', 'C)13', 'D)15', 'E)17']", "role": "user", "uuid": "b6ab33a1-10eb-4c30-a0dd-94cb138828fb" }, { "content": "Solution\nLet the three integers be x, x +2 and x + 4. Then, 3x = 2 (x + 4) + 3 ⇔ x = 11.\n∴ Third integer = x + 4 = 15.\nAnswer D", "role": "assistant", "uuid": "b341b3a3-3de5-48e8-90f0-ad486a8e12ff" } ]

{ "coherence": 2.78, "complexity": 1.5, "correctness": 2.78, "helpfulness": 2.86, "instruction-following": 3.84, "safety": 5.59, "verbosity": 1.1, "verbosity-coeff": -0.1945 }

[ { "content": "In how many ways can 9 people, A, B, C, D, E, F, G, H, I be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?\n\n['A)3841258', 'B)39600', 'C)576822', 'D)362784', 'E)69600']", "role": "user", "uuid": "c49a8aba-f1be-4654-9847-b5836d3ad41b" }, { "content": "Number of total arrangements = 9!\nRestriction 1= ABCD not next to each other --> let say AB and CD are considered as one unit, respectively\nRestriction 2= AB is not the same as BA + CD is not the same as DC --> the number will increase by 2*2\nTotal number of arrangements - Number out of restrictions = Result\n9! - (4!*2*2) = 362880 - (24*2*2) = 362784\nAnswer D", "role": "assistant", "uuid": "6e267f91-eb52-45d9-8c4f-57190c6f8b05" } ]

{ "coherence": 2.78, "complexity": 1.77, "correctness": 2.62, "helpfulness": 2.78, "instruction-following": 3.29, "safety": 3.88, "verbosity": 1.19, "verbosity-coeff": -0.1165 }

[ { "content": "The two trains of lengths 400 m, 600 m respectively, running at same directions. The faster train can cross the slower train in 180 sec, the speed of the slower train is 48 km. then find the speed of the faster train?\n\n['A)67', 'B)68', 'C)26', 'D)11', 'E)21']", "role": "user", "uuid": "eff3f54e-88c0-484b-be99-d30f713802d8" }, { "content": "Length of the two trains = 600m + 400m\nSpeed of the first train = X\nSpeed of the second train= 48 Kmph\n1000/X - 48 = 180\n1000/x - 48 * 5/18 = 180\n50 = 9X - 120\nX = 68 Kmph\nAnswer:B", "role": "assistant", "uuid": "3ef7a160-924f-4808-bef5-19956630f871" } ]

{ "coherence": 2.78, "complexity": 1.75, "correctness": 2.18, "helpfulness": 2.35, "instruction-following": 3.07, "safety": 5.79, "verbosity": 1.24, "verbosity-coeff": -0.1136 }

[ { "content": "A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 44 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?\n\n['A)56/21', 'B)59/16', 'C)44/21', 'D)55/16', 'E)12/59']", "role": "user", "uuid": "3839a749-fd6a-4d01-9b19-a190858a8753" }, { "content": "Rate of machine R =1/44\nRate of machine S =1/20\nsince same no of machines used for R and S to do the same work in 4 hrs\nSo collective rate needed to finish the work in 4 hrs= 1/4\nLet the no of machine be x\nSo, x/44 +x/20 =1/4\n(5x+11x)/220=1/4\n16x=55\nx=55/16\nSo no of machine R is 55/16\nAnswer D", "role": "assistant", "uuid": "4f9b24be-649c-4ec4-a625-1dcbbea2509e" } ]

{ "coherence": 2.8, "complexity": 1.58, "correctness": 2.27, "helpfulness": 2.47, "instruction-following": 2.62, "safety": 6.1, "verbosity": 1.33, "verbosity-coeff": -0.2161 }

[ { "content": "Average of five consecutive even numbers is 35. Find the greatest number in these five numbers?\n\n['A)37', 'B)38', 'C)39', 'D)41', 'E)42']", "role": "user", "uuid": "e810b052-4915-473a-bda2-e12feec36117" }, { "content": "39\nOption 'C'", "role": "assistant", "uuid": "d6324d97-b010-4270-bdfe-ac6873378646" } ]

{ "coherence": 2.68, "complexity": 1.2, "correctness": 1.67, "helpfulness": 2.14, "instruction-following": 2.14, "safety": 6.77, "verbosity": 0.19, "verbosity-coeff": -0.1202 }

[ { "content": "The probability that A speaks truth is 1/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?\n\n['A)16/35', 'B)16/37', 'C)16/39', 'D)16/33', 'E)18/31']", "role": "user", "uuid": "7dbafb54-f68d-4171-9314-3ff77fcc68e4" }, { "content": "If both agree stating the same fact, either both of them speak truth of both speak false.\nProbability = 1/5 * 4/7 + 4/5 * 3/7\n= 16/35\nAnswer:A", "role": "assistant", "uuid": "0349cff6-6224-4845-878c-3662e479353d" } ]

{ "coherence": 3.15, "complexity": 1.94, "correctness": 2.53, "helpfulness": 2.7, "instruction-following": 3.52, "safety": 4.25, "verbosity": 1.45, "verbosity-coeff": -0.1851 }

[ { "content": "The L.C.M of 22, 54, 108, 135 and 198 is\n\n['A)5942', 'B)2887', 'C)5940', 'D)2888', 'E)28881']", "role": "user", "uuid": "b8c57a01-85aa-4b2b-a63f-24949c9e4db5" }, { "content": "Answer: C) 5940", "role": "assistant", "uuid": "44807bff-9720-46d9-93bb-1c457e4136cb" } ]

{ "coherence": 3.52, "complexity": 0.9, "correctness": 2.96, "helpfulness": 3.11, "instruction-following": 2.78, "safety": 4.36, "verbosity": 0.7, "verbosity-coeff": -0.107 }

[ { "content": "A man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. In what time can his daughter do it alone?\n\n['A)12', 'B)28', 'C)26', 'D)19', 'E)112']", "role": "user", "uuid": "62eccc24-22f4-4fc0-aa02-daa23933a7fc" }, { "content": "Explanation:\nDaughter’s 1 day’s work = (1/3 – 1/4) = 1/12\nDaughter alone can do the work in 12/1 = 12 days\nANSWER: A", "role": "assistant", "uuid": "8655d3f7-abec-4dcd-a1c7-64dee35a48c8" } ]

{ "coherence": 2.72, "complexity": 1.58, "correctness": 2.39, "helpfulness": 2.57, "instruction-following": 3.91, "safety": 6.14, "verbosity": 0.93, "verbosity-coeff": -0.1264 }

[ { "content": "A man can row 4.2 km/hr in still water. It takes him twice as long to row upstream as to row downstream. What is the rate of the current ?\n\n['A)1.9', 'B)1.7', 'C)1.4', 'D)1.5', 'E)1.1']", "role": "user", "uuid": "9d274c5b-7e12-4848-8a72-235c09b40b1d" }, { "content": "Speed of boat in still water (b) = 4.2 km/hr. Speed of boat with stream (Down Stream), D = b + u Speed of boat against stream (Up stream), U = b – u It is given upstream time is twice to that of down stream. ⇒ Downstream speed is twice to that of upstream. So b + u = 2(b – u) ⇒ u =b/3 = 1.4 km/hr.\nAnswer: C", "role": "assistant", "uuid": "bf2ddb9b-149e-45f1-bced-aaf174e3428f" } ]

{ "coherence": 3.07, "complexity": 1.59, "correctness": 2.74, "helpfulness": 2.76, "instruction-following": 3.82, "safety": 5.01, "verbosity": 0.86, "verbosity-coeff": -0.1625 }

[ { "content": "A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?\n\n['A)2/5', 'B)3/9', 'C)4/7', 'D)2/7', 'E)1/3']", "role": "user", "uuid": "daa991b1-b1d0-4ead-97b8-1ce5fb013176" }, { "content": "Total number of balls = 6+8 = 14\nNumber of white balls = 8\nprobability of drawing a white ball = 8/14 = 4/7\nAnswer is B", "role": "assistant", "uuid": "6f5ff9a7-984c-4bf9-b0c2-7235c0e9e74e" } ]

{ "coherence": 2.55, "complexity": 0.98, "correctness": 2.16, "helpfulness": 2.33, "instruction-following": 2.74, "safety": 6.1, "verbosity": 1.03, "verbosity-coeff": -0.142 }

[ { "content": "P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?\n\n['A)10', 'B)15', 'C)18', 'D)22', 'E)25']", "role": "user", "uuid": "898ecf94-3e09-4c20-8a96-6ec9efb976f7" }, { "content": "Explanation :\nLet work done by P in 1 day = p,\nWork done by Q in 1 day = q,\nWork done by R in 1 day = r\np + q = 1/30\nq + r = 1/24\nr + p = 1/20\nAdding all the above, 2p + 2q + 2r = 1/30 + 1/24+ 1/20 = 15/120 = 1/8\n=> p + q + r = 1/16\n=> Work done by P,Q and R in 1 day = 1/16\nWork done by P, Q and R in 10 days = 10 × (1/16) = 10/16 = 5/8\nRemaining work = 1 = 5/8 = 3/8\nWork done by P in 1 day = Work done by P,Q and R in 1 day - Work done by Q and R in 1 day\n= 1/16 – 1/24 = 1/48\nNumber of days P needs to work to complete the remaining work = (3/8) / (1/48) = 18\nAnswer : Option C", "role": "assistant", "uuid": "cd521237-2c28-46f8-9f88-8d110654dbae" } ]

{ "coherence": 2.62, "complexity": 1.96, "correctness": 2.21, "helpfulness": 2.55, "instruction-following": 3.37, "safety": 5.12, "verbosity": 1.38, "verbosity-coeff": -0.131 }

[ { "content": "A man bets on no. 16 on a roulette wheel 14 times and losses each time. On the 15th span he does a quick calculation and finds out that the no. 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the 15th span. Which will give him the best chance and what are the odds of winning on the bet that he takes?\n\n['A)23:2', 'B)35:1', 'C)37:13', 'D)39:11', 'E)41:11']", "role": "user", "uuid": "a94fcd8c-71b2-4940-88b1-797d020f789b" }, { "content": "Each of the span is an independent event and the outcome of the 15th span will not depend on the outcome of the earlier spans.\nEither ;35:1\nB)", "role": "assistant", "uuid": "453c73c9-bf5b-4c20-90e6-0756f5b075ae" } ]

{ "coherence": 2.06, "complexity": 1.38, "correctness": 1.1, "helpfulness": 1.02, "instruction-following": 0.75, "safety": 3.99, "verbosity": 0.94, "verbosity-coeff": -0.1263 }

[ { "content": "A company has 15 managers and 75 associates. The 15 managers have an average salary of $60,000. The 75 associates have an average salary of $30,000. What is the average salary for the company?\n\n['A)$35,000', 'B)$45,000', 'C)$55,000', 'D)$65,000', 'E)$75,000']", "role": "user", "uuid": "f08b07c3-ddc0-42a9-8723-012c1ba14d56" }, { "content": "Another method is to get ratios\nSay 30000=a and\nWe know the # of people are in 1:5 ratio\nAverage=(2a*1+a*5)/6= 7a/6=35000\nAnswer is A. $35,000", "role": "assistant", "uuid": "80ca8bb2-60ee-44b7-b275-73a41b5315f1" } ]

{ "coherence": 3.09, "complexity": 1.13, "correctness": 2.98, "helpfulness": 2.7, "instruction-following": 2.37, "safety": 4.11, "verbosity": 1.12, "verbosity-coeff": -0.1338 }

[ { "content": "There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number?\n\n['A)25', 'B)66', 'C)88', 'D)89', 'E)53']", "role": "user", "uuid": "c25da48b-a657-4368-96e0-6f8b53031a3a" }, { "content": "Let the two positive numbers be 5x and 8x respectively.\n8x - 5x = 15\n3x = 15 => x = 5\n=> Smaller number = 5x = 25.\nAnswer: A", "role": "assistant", "uuid": "205656b9-f99f-4cdb-8bc2-29bb765182a2" } ]

{ "coherence": 3.5, "complexity": 1.23, "correctness": 3.09, "helpfulness": 3.33, "instruction-following": 4.01, "safety": 4.03, "verbosity": 0.67, "verbosity-coeff": -0.1299 }

[ { "content": "A train covers a distance of 100km in 1 hour. If its speed is decreased by 12km/hr, the time taken by the car to cover the same distance will be?\n\n['A)1hr', 'B)1hr 8min', 'C)50min', 'D)1hr 30min', 'E)1hr 45min']", "role": "user", "uuid": "48c56faf-754d-4bd6-ba95-20c9213738c0" }, { "content": "Speed = 100/1 = 100km/hr\nNew speed = 100-12 = 88 km/hr\nTime taken = 100/88 = 1hr 8min\nAnswer is B", "role": "assistant", "uuid": "77015ef3-34ad-4774-a0b2-b37bee9676e9" } ]

{ "coherence": 3.05, "complexity": 1.18, "correctness": 2.76, "helpfulness": 2.96, "instruction-following": 4.05, "safety": 6.34, "verbosity": 0.97, "verbosity-coeff": -0.1032 }

[ { "content": "Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to\nwork and 20 seconds per block to ride his bicycle to work. If it takes him exactly\n7 minutes more to walk to work than to ride his bicycle, then x equals\n\n['A)4', 'B)7', 'C)10.5', 'D)15', 'E)20']", "role": "user", "uuid": "f75ee6b0-fe97-4ca8-9cc3-15ca96170f04" }, { "content": "The best way would be...\nPer km, he takes 40 secs extra if he walks\nSo he will take 7 mins or 7*60 secs in 7*60/40 =10.5 km\nANSWER:C", "role": "assistant", "uuid": "2a378b03-8ef3-4357-9748-35c0ddfeeb2b" } ]

{ "coherence": 2.39, "complexity": 1.82, "correctness": 1.8, "helpfulness": 1.81, "instruction-following": 2.64, "safety": 5.36, "verbosity": 1.29, "verbosity-coeff": -0.1256 }

[ { "content": "Jill has 14 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?\n\n['A)3', 'B)6', 'C)9', 'D)12', 'E)24']", "role": "user", "uuid": "abd57d07-4e60-4feb-9fe9-b71a70a1e0c9" }, { "content": "Let the number of each size of jar = wthen 1/4w + 1/2w + w = 14 1 3/4w = 14w=8The total number of jars = 3w =24Answer: E", "role": "assistant", "uuid": "0a646d68-23db-4960-9b5e-28e20f624806" } ]

{ "coherence": 2.66, "complexity": 1.14, "correctness": 1.74, "helpfulness": 2.1, "instruction-following": 3.07, "safety": 5.01, "verbosity": 0.4, "verbosity-coeff": -0.1463 }

[ { "content": "A fill pipe can fill 1/2 of cistern in 15 minutes. In how many minutes, it can fill 1/2 of the cistern?\n\n['A)1 min', 'B)5 min', 'C)10 min', 'D)15 min', 'E)20 min']", "role": "user", "uuid": "3f1ff663-659f-497c-a91d-876ceecd05f6" }, { "content": "Required time = 15*2*1/2 = 15 minutes\nAnswer is D", "role": "assistant", "uuid": "79276efb-3a32-4203-83c9-1c5fb1f3c505" } ]

{ "coherence": 2.82, "complexity": 1.29, "correctness": 2.27, "helpfulness": 2.47, "instruction-following": 2.8, "safety": 5.59, "verbosity": 0.43, "verbosity-coeff": -0.0959 }

[ { "content": "When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?\n\n['A)13', 'B)31', 'C)49', 'D)57', 'E)67']", "role": "user", "uuid": "b051c4f2-b3f1-46bf-853d-fd7f12195231" }, { "content": "If a number is divisible by 9, the sum of its digits must be divisible by 9. --> If a number leaves a remainder 4 when divided by 9 the sum of its digits must be 4.\n57 = 5 + 7 = 12--> 1 + 2 = 3\nAnswer: D", "role": "assistant", "uuid": "26411639-3199-45a6-bd34-f169cdc876e6" } ]

{ "coherence": 2.76, "complexity": 1.6, "correctness": 1.72, "helpfulness": 1.9, "instruction-following": 1.93, "safety": 5.67, "verbosity": 0.8, "verbosity-coeff": -0.2336 }

[ { "content": "How many days will there be from 28th January,1996 to 15th May,1996(both days included)?\n\n['A)102', 'B)103', 'C)111', 'D)109', 'E)121']", "role": "user", "uuid": "59cc2f4e-297e-41d0-90e7-70e9c55d4167" }, { "content": "Explanation:\nNumber of days from 28-Jan-1996 to 15-May-1996 (both days included)\n= 4(Jan) + 29(Feb) + 31 (Mar) + 30(Apr)+ 15(May) = 109\nAnswer: Option D", "role": "assistant", "uuid": "f341d433-ba1f-4d00-86cf-2293492cb23b" } ]

{ "coherence": 2.88, "complexity": 1.54, "correctness": 2.35, "helpfulness": 2.74, "instruction-following": 3.58, "safety": 5.4, "verbosity": 1.77, "verbosity-coeff": -0.1112 }

[ { "content": "What is the simplified result of following the steps below in order?\n(1)\tadd 5y to 2q\n(2)\tmultiply the sum by 3\n(3)\tsubtract q + y from the product\n\n['A)5q + 14y', 'B)5x + 16y', 'C)5x + 5y', 'D)6x + 4y', 'E)3x + 12y']", "role": "user", "uuid": "cb8e0f75-1815-49ef-9cae-fa3a1cb93d27" }, { "content": "3(5Y+2Q) -Q-Y= 14Y+5Q\n'A' is the answer", "role": "assistant", "uuid": "839f0068-bfba-4102-bc8b-043bc8e69395" } ]

{ "coherence": 2.53, "complexity": 1.74, "correctness": 1.95, "helpfulness": 2.02, "instruction-following": 2.18, "safety": 4.54, "verbosity": 0.89, "verbosity-coeff": -0.2015 }

[ { "content": "Evaluate: |4 - 8(3 - 12)| - |5 - 11| =\n\n['A)49', 'B)55', 'C)69', 'D)70', 'E)82']", "role": "user", "uuid": "50c8cb0a-1bd1-4a74-bee5-6dbad0ca5f5f" }, { "content": "According to order of operations, inner brackets first. Hence\n|4 - 8(3 - 12)| - |5 - 11| = |4 - 8*(-9)| - |5 - 11|\nAccording to order of operations, multiplication within absolute value signs (which may be considered as brackets when it comes to order of operations) next. Hence\n= |4 + 72| - |5 - 11|\n= |76| - |-6|\n= 76 - 6 = 70\ncorrect answer D)70", "role": "assistant", "uuid": "5bf32a21-bde5-4afb-af9b-ddd58333756f" } ]

{ "coherence": 3.45, "complexity": 2.02, "correctness": 3.07, "helpfulness": 3, "instruction-following": 3.89, "safety": 4.32, "verbosity": 1.92, "verbosity-coeff": -0.1225 }

[ { "content": "A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?\n\n['A)27%', 'B)20%', 'C)80%', 'D)30%', 'E)24%']", "role": "user", "uuid": "0f879796-b652-443f-b64f-ab16d1dd9f9a" }, { "content": "900 ---- 180\n100 ---- ? => 20%\nAnswer: B", "role": "assistant", "uuid": "dfa42afd-62f3-428b-9728-0e316560b523" } ]

{ "coherence": 2.76, "complexity": 1.25, "correctness": 2.51, "helpfulness": 2.57, "instruction-following": 3.43, "safety": 5.91, "verbosity": 0.74, "verbosity-coeff": -0.1087 }

[ { "content": "If (x - 1)^2 = 324, which of the following could be the value of x - 3?\n\n['A)17', 'B)15', 'C)13', 'D)-20', 'E)-22']", "role": "user", "uuid": "5839ce3e-5fdd-48e8-966b-1ac02d6a6971" }, { "content": "(x - 1)^2 = 324\n(x - 1) = 18 or -18\nx = 19 or -17\nx - 3 = 16 or -20\nThe answer is D.", "role": "assistant", "uuid": "09a77bd7-af25-4b90-9c8b-690d32740195" } ]

{ "coherence": 2.86, "complexity": 1.38, "correctness": 2.37, "helpfulness": 2.59, "instruction-following": 2.55, "safety": 4.58, "verbosity": 1.1, "verbosity-coeff": -0.1663 }

[ { "content": "The speed at which a man can row a boat in still water is 22 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?\n\n['A)12.59', 'B)11.53', 'C)15.69', 'D)14.56', 'E)18.98']", "role": "user", "uuid": "b811ce22-2fb6-4369-be9e-25030a113088" }, { "content": "Speed of the boat downstream = 22 + 3 = 25 kmph\r= 25 * 5/18 = 6.94 m/s\rHence time taken to cover 80 m = 80/6.94\r= 11.53 seconds.\rAnswer:B", "role": "assistant", "uuid": "fec4198f-50ca-4878-9ced-aecbb73cfb57" } ]

{ "coherence": 2.84, "complexity": 0.77, "correctness": 2.51, "helpfulness": 2.72, "instruction-following": 3.74, "safety": 5.32, "verbosity": 0.99, "verbosity-coeff": -0.1141 }

[ { "content": "In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is\n\n['A)5', 'B)7', 'C)10', 'D)12', 'E)14']", "role": "user", "uuid": "08aea090-24c9-424d-8d0a-ff2bba0c17e5" }, { "content": "Explanation:\nLet the number of cows be x and the number of hens be y.\nThen, 4x + 2y = 2 (x + y) + 14 4x + 2y = 2x + 2y + 14 2x = 14 x = 7.\nAnswer: B", "role": "assistant", "uuid": "254cda6b-2fbf-443a-8259-2600eea75ae5" } ]

{ "coherence": 3, "complexity": 1.68, "correctness": 2.59, "helpfulness": 3.02, "instruction-following": 3.66, "safety": 5.75, "verbosity": 0.91, "verbosity-coeff": -0.1612 }

[ { "content": "Machines A and B produce bottles at their respective constant rates. Machine A produces k bottles in 2 hours and machine B produces k bottles in 4 hours. How many hours does it take machines A and B, working simultaneously, to produce 15k bottles?\n\n['A)10', 'B)15', 'C)12', 'D)20', 'E)18']", "role": "user", "uuid": "9e5dea9e-923f-48c5-9485-02651aabadb6" }, { "content": "A's rate = k/2\nB's rate = k/4\nk/2 + k/4 = 3k/4\n15k / (3k/4) = 20 hours\nThe answer is D.", "role": "assistant", "uuid": "ca5fd3e1-8da2-4762-b73b-bd150221b505" } ]

{ "coherence": 3.09, "complexity": 1.17, "correctness": 2.43, "helpfulness": 2.59, "instruction-following": 2.88, "safety": 5.67, "verbosity": 0.59, "verbosity-coeff": -0.243 }

[ { "content": "A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 24% home electronics; 15% food additives; 19% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?\n\n['A)8°', 'B)10°', 'C)18°', 'D)36°', 'E)72°']", "role": "user", "uuid": "52d49149-1123-41bf-ab49-95a81d147eb5" }, { "content": "14% microphotonics;\n24% home electronics;\n15% food additives;\n19% genetically modified microorganisms;\n8% industrial lubricants;\n100-(14+24+15+19+8)=20% basic astrophysics.\n10% of 360° is 72°.\nAnswer: E.", "role": "assistant", "uuid": "0a2a8066-56d1-4486-ac38-6981031f3703" } ]

{ "coherence": 2.59, "complexity": 1.09, "correctness": 1.97, "helpfulness": 1.85, "instruction-following": 2.04, "safety": 5.63, "verbosity": 0.86, "verbosity-coeff": -0.142 }

[ { "content": "Each of the following numbers has a remainder of 3 when divided by 8 except:\n\n['A)11', 'B)19', 'C)3', 'D)83', 'E)26']", "role": "user", "uuid": "5fd68d3a-70ce-4a32-a7fd-5ba4461fc8ff" }, { "content": "It's E\n26 = 8*3+2", "role": "assistant", "uuid": "8340db58-bc9a-42e3-97b3-9252ee9780c8" } ]

{ "coherence": 3.27, "complexity": 1.91, "correctness": 2.98, "helpfulness": 2.94, "instruction-following": 2.59, "safety": 3.46, "verbosity": 1.07, "verbosity-coeff": -0.1443 }

[ { "content": "A train covers a distance of 12 km in 10 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?\n\n['A)298', 'B)288', 'C)120', 'D)776', 'E)180']", "role": "user", "uuid": "524eff6c-8c77-40c9-bc18-171aa285e4ff" }, { "content": "Speed = (12/10 * 60) km/hr = (72 * 5/18) m/sec = 20 m/sec.\nLength of the train = 20 * 9\n= 180 m.\nAnswer:E", "role": "assistant", "uuid": "05532472-a8ec-4e35-b76d-9f85e06b1521" } ]

{ "coherence": 2.66, "complexity": 1.59, "correctness": 2.39, "helpfulness": 2.59, "instruction-following": 3.76, "safety": 6.53, "verbosity": 1.54, "verbosity-coeff": -0.1202 }

[ { "content": "12 members were present at a board meeting. Each member shake hands with all of the other members before and after the meeting .How many hand shakes were there?\n\n['A)237', 'B)268', 'C)132', 'D)827', 'E)261']", "role": "user", "uuid": "8ea8a554-b777-41e5-98db-e11505429650" }, { "content": "Explanation:\nIn order to have a hand shake there must be two members. Therefore to select 2 out of 12 we have 12C2.\nThis happens twice that is before and after the meeting\nAnswer = 12C2 ×2 = 132\nAnswer: C", "role": "assistant", "uuid": "f3669b9d-f945-4272-8658-6ee62883a744" } ]

{ "coherence": 2.94, "complexity": 1.19, "correctness": 2.68, "helpfulness": 2.78, "instruction-following": 3.17, "safety": 5.01, "verbosity": 1.25, "verbosity-coeff": -0.1205 }

[ { "content": "How many times the keys of a writer have to be pressed in order to write first 200 counting no's?\n\n['A)452', 'B)462', 'C)472', 'D)482', 'E)492']", "role": "user", "uuid": "4983c509-611e-4f5a-8d6f-8ed626ed0761" }, { "content": "1 to 9 = 9 * 1 = 9\n10 to 99 = 90 * 2 = 180\n100 to 200 = 101 * 3 = 303\n-----------\n492\nE", "role": "assistant", "uuid": "98708c69-0df6-4a32-afd5-3c2c7a644504" } ]

{ "coherence": 2.7, "complexity": 1.51, "correctness": 2.14, "helpfulness": 2.33, "instruction-following": 2.84, "safety": 4.54, "verbosity": 0.93, "verbosity-coeff": -0.0878 }

[ { "content": "Four horses are tethered at four corners of a square plot of side 63 metres so that they just cannot reach one another. The area left ungrazed is:\n\n['A)675.5m2', 'B)780.6m2', 'C)785.8m2', 'D)850.5m2', 'E)950.5m2']", "role": "user", "uuid": "5d9ff510-fefd-453e-81eb-edf6acd931b2" }, { "content": "Required area= (63*63 – 4*1/4 *22/7 * 63/2 * 63/2)= 850.5m2 ANSWER:D", "role": "assistant", "uuid": "bfa0a1cb-6edf-461a-8519-9ec92761e3d1" } ]

{ "coherence": 2.82, "complexity": 1.36, "correctness": 2.45, "helpfulness": 2.29, "instruction-following": 3.17, "safety": 4.46, "verbosity": 1.44, "verbosity-coeff": -0.1018 }

[ { "content": "Three coins are tossed. Find the probability of at least 1 head and 1 tail ?\n\n['A)1/2', 'B)1/4', 'C)3/4', 'D)7/8', 'E)1/8']", "role": "user", "uuid": "00ce016d-5739-4811-bf94-f8949a8c87c6" }, { "content": "n(s) = 2^3 = 8 ....(3 coins tossed)\nlet E is the event of getting at least 1 head and 1 tail\nn(E) = TTH , HTT, THT, HHT, HTH, THH = 6\nP(E) = n(E) / n(s)\n= 6/8\n= 3/4\nAns- C", "role": "assistant", "uuid": "12afe460-4d75-4818-8d02-bc0ad90c0680" } ]

{ "coherence": 3.21, "complexity": 1.79, "correctness": 2.86, "helpfulness": 2.92, "instruction-following": 3.99, "safety": 5.24, "verbosity": 1.37, "verbosity-coeff": -0.1073 }

[ { "content": "To apply for the position of photographer at a local magazine, a photographer needs to include four or five photos in an envelope accompanying the application. If the photographer has pre-selected seven photos representative of her work, how many choices does she have to provide the photos for the magazine?\n\n['A)48', 'B)50', 'C)52', 'D)54', 'E)56']", "role": "user", "uuid": "25f10296-b792-4478-9d61-faf0bcfdf553" }, { "content": "7C4 + 7C5 = 35 + 21 = 56\nThe answer is E.", "role": "assistant", "uuid": "07a16979-f225-48e3-a3ea-a48966083557" } ]

{ "coherence": 2.47, "complexity": 1, "correctness": 1.66, "helpfulness": 1.82, "instruction-following": 2.59, "safety": 4.77, "verbosity": 0.33, "verbosity-coeff": -0.1509 }

[ { "content": "Find the number of different 4-letter words with or without meaning that can be formed from the letters of the word \" NUMBER\"\n\n['A)340', 'B)360', 'C)320', 'D)420', 'E)440']", "role": "user", "uuid": "0f00bb95-57be-4383-940a-179444c567dc" }, { "content": "There are 6 letters in the word \"NUMBER\". So the number of 4-letter words 6P4 =360 Answer : B", "role": "assistant", "uuid": "c1f568c1-7aef-4353-b46c-d6b9f4d4360f" } ]

{ "coherence": 2.57, "complexity": 1.32, "correctness": 2.21, "helpfulness": 2.29, "instruction-following": 2.7, "safety": 4.46, "verbosity": 0.93, "verbosity-coeff": -0.1035 }

[ { "content": "The length of a rectangular field is 7/5 its width. If the perimeter of the field is 288 meters, what is the width of the field?\n\n['A)50', 'B)60', 'C)70', 'D)80', 'E)90']", "role": "user", "uuid": "69dac31d-b860-4e9f-b645-6ff6ae9862fa" }, { "content": "Let L be the length and W be the width. L = (7/5)W\nPerimeter: 2L + 2W = 288, 2(7/5)W + 2W = 288\nSolve the above equation to find: W = 60 m and L = 84 m.\ncorrect answer B)60", "role": "assistant", "uuid": "33dda300-2c0e-4887-9a1d-a13f92c37063" } ]

{ "coherence": 3.48, "complexity": 1.33, "correctness": 2.55, "helpfulness": 2.82, "instruction-following": 3.82, "safety": 4.73, "verbosity": 0.87, "verbosity-coeff": -0.179 }

[ { "content": "The distance from City A to City B is 180 miles. While driving from City A to City B, Cara drives at a constant speed of 30 miles per hour. Dan leaves City A 120 minutes after Cara. What is the minimum constant speed in miles per hour that Dan must exceed in order to arrive in City B before Cara?\n\n['A)42', 'B)45', 'C)46', 'D)48', 'E)50']", "role": "user", "uuid": "50a1fc8c-da6c-4082-9ea0-3ed2771e4b3a" }, { "content": "The time it takes Cara to drive to City B is 180 / 30 = 6 hours.\nDan needs to take less than 4 hours for the trip.\nDan needs to exceed a constant speed of 180 / 4 = 45 miles per hour.\nThe answer is B.", "role": "assistant", "uuid": "cdca680a-6d14-4cd1-ab73-b00f70909157" } ]

{ "coherence": 3.11, "complexity": 1.33, "correctness": 2.57, "helpfulness": 2.68, "instruction-following": 2.92, "safety": 5.28, "verbosity": 0.76, "verbosity-coeff": -0.2173 }

[ { "content": "When E is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when E + y is divided by 5?\n\n['A)0', 'B)1', 'C)2', 'D)3', 'E)4']", "role": "user", "uuid": "a82f5f72-3aa0-410f-aa8b-a413f0d7a844" }, { "content": "In my view the answer should be C\nE/5 has Remainder=3 -> E = 5 x Q + 3\nY/5 has a Remainder=4 -> Y = 5 x Q + 3\nCombining both\n((5 x Q1 + 3) + (5 x Q2 + 3))/5 =\n5(Q1+Q2)/5 + 7/5 =\nQ1+Q2 + 7/5\n7/5 = 1+ 2/5 => Remainder 2\nAnswer C", "role": "assistant", "uuid": "8e8ed666-3391-4e08-8418-44bbec085261" } ]

{ "coherence": 2.41, "complexity": 2.12, "correctness": 1.75, "helpfulness": 1.82, "instruction-following": 1.86, "safety": 4.29, "verbosity": 1.36, "verbosity-coeff": -0.2002 }

[ { "content": "The equation of line f is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line f?\n\n['A)48', 'B)50', 'C)60', 'D)75', 'E)100']", "role": "user", "uuid": "9c5f9625-b7e1-4f29-ba1d-732611bd69ce" }, { "content": "This can be solve in two steps and without any complex calculation.\nGiven : equation of line f as y=(4/3)x -100. So the line intercept the axes at (0,-100) and (75,0).\nThis can be considered a right angle triangle with right angle at (0,0) . So Base=100 , Height=75 and Hypotenuse =125 (By Pythagoras triplet)\nSo a perpendicular from the (0,0) to hypotenuse will be the answer.\nArea of triangle= 0.5*100*75=0.5*125* x\n=> x=60;\nSO answer is 60=C", "role": "assistant", "uuid": "ab4bf73d-82ec-4ca5-8f21-e603b28695f2" } ]

{ "coherence": 3.05, "complexity": 2.29, "correctness": 2.45, "helpfulness": 2.29, "instruction-following": 2.61, "safety": 6.1, "verbosity": 1.38, "verbosity-coeff": -0.2025 }

[ { "content": "Nikhilesh invested certain amount in three different schemes A, B and C with the rate of interest 10 p.c.p.a., 12 p.c.p.a.and 15 p.c.p.a. respectively. If the total interest accrued in one year was 3200 and the amount invested in scheme C was 150% of the amount invested in scheme A and 240% of the amount invested in scheme B, what was the amount invested in scheme B?\n\n['A)8000', 'B)5000', 'C)6500', 'D)Cannot be determined', 'E)None of these']", "role": "user", "uuid": "2a80a2ec-e848-449e-831e-78d36647e2c1" }, { "content": "Ratio of Nikhilesh’s investments in different schemes\n= 100:150×100/240:150=8:5:12\nNow, according to the question,\n8k×10/100+5k×12/100+12k×15/100 = 3200\nor, 80k + 60k + 180k = 3200 × 100\nor, 320k = 3200 × 100\nor, k = 1000\n∴ amount invested in scheme B will be = 1000 × 5 = 5000\nAnswer B", "role": "assistant", "uuid": "3d6f3295-d8ce-4cc0-90ff-59c765cb18f0" } ]

{ "coherence": 2.86, "complexity": 1.75, "correctness": 2.64, "helpfulness": 2.8, "instruction-following": 4.09, "safety": 5.01, "verbosity": 1.58, "verbosity-coeff": -0.1282 }

[ { "content": "X starts a business with Rs.54000. Y joins in the business after 9 months with Rs.27000. What will be the ratio in which they should share the profit at the end of the year?\n\n['A)1 : 2', 'B)2 : 1', 'C)8 : 3', 'D)3 : 5', 'E)8 : 1']", "role": "user", "uuid": "ca9b155d-b77e-4ba6-8d96-2ad09508574c" }, { "content": "Explanation :\nRatio in which they should share the profit\n= Ratio of the investments multiplied by the time period\n= 54000 * 12: 27000 * 3\n= 54 * 12: 27 * 3\n= 2*4: 1\n= 8:1. Answer : Option E", "role": "assistant", "uuid": "9a60d45f-13f7-4125-8cc9-e0e39d83ce75" } ]

{ "coherence": 2.47, "complexity": 1.68, "correctness": 1.78, "helpfulness": 2.08, "instruction-following": 2.08, "safety": 5.24, "verbosity": 1.05, "verbosity-coeff": -0.1411 }

[ { "content": "If the price of gold increases by 50%, 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)381/3%', 'D)231/3%', 'E)361/3%']", "role": "user", "uuid": "624a9262-b72e-446c-b07c-deb7df915abd" }, { "content": "100\n150\n------\n150-------50\n100-------? => 331/3%\nAnswer: B", "role": "assistant", "uuid": "1315fe2f-cd2b-4ed3-b62f-99d9a68dc93f" } ]

{ "coherence": 2.57, "complexity": 1.39, "correctness": 1.98, "helpfulness": 2.2, "instruction-following": 2.53, "safety": 6.45, "verbosity": 1.04, "verbosity-coeff": -0.1191 }

[ { "content": "A 6 faced die is thrown. The probability that the die will land on the number 4 is what?\n\n['A)1/6', 'B)1/2', 'C)1/12', 'D)1/4', 'E)1/5']", "role": "user", "uuid": "0ebbdaf5-d97a-40d1-9437-f1e47ddb9723" }, { "content": "There are six sides to the die and only one side has a 4 on it, so the probility is 1/6 Answer:A", "role": "assistant", "uuid": "fb9c961b-6137-4b2b-b641-8387b58d4c2a" } ]

{ "coherence": 3.17, "complexity": 1.08, "correctness": 3.05, "helpfulness": 3.04, "instruction-following": 3.64, "safety": 5.01, "verbosity": 1.42, "verbosity-coeff": -0.1052 }

[ { "content": "How much is 80% of 40 is greater than 4/5 of 25?\n\n['A)17', 'B)19', 'C)11', 'D)12', 'E)10']", "role": "user", "uuid": "bd142505-3ea8-4a07-9e83-3e86c7c6295d" }, { "content": "(80/100) * 40 – (4/5) * 25\n32 - 20 = 12\nAnswer: D", "role": "assistant", "uuid": "ed377d7d-0426-41fb-a04a-9bc9a48d1580" } ]

{ "coherence": 3.05, "complexity": 0.81, "correctness": 3.05, "helpfulness": 3.23, "instruction-following": 3.78, "safety": 4.97, "verbosity": 0.35, "verbosity-coeff": -0.1334 }

[ { "content": "One pipe can fill a pool four times faster than a second pipe. When both pipes are opened, they fill the pool in eight hours. How long would it take to fill the pool if only the faster pipe is used?\n\n['A)5 hr', 'B)8 hr', 'C)10 hr', 'D)16 hr', 'E)20 hr']", "role": "user", "uuid": "f6e4ca67-c9d7-4a96-9e9d-ff80e2e8ee21" }, { "content": "fast pipe + slow pipe = together\nOne pipe fills the pool four times faster than the other pipe so,\nhourly fill rates:\n1/x + 1/4x = 1/8\nLet x = number of hours it would take the fast pipe to fill the pool thus,\nx=10 hours\nAnswer: C", "role": "assistant", "uuid": "c1bf5afe-d3dc-48f4-acde-173e7e944b95" } ]

{ "coherence": 2.66, "complexity": 1.39, "correctness": 1.95, "helpfulness": 1.97, "instruction-following": 2.82, "safety": 6.41, "verbosity": 0.76, "verbosity-coeff": -0.19 }

[ { "content": "The cost of 3 pens and 5 pencils is Rs.240. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens?\n\n['A)Rs.200', 'B)Rs.720', 'C)Rs.300', 'D)Rs.150', 'E)None of these']", "role": "user", "uuid": "66511da2-12e6-4cf0-89b8-68748b8be51a" }, { "content": "Explanation:\nLet the cost of one pen is ‘5x’ and pencil is ‘x’\n3 X 5x + 5x = Rs.240\n15x + 5x = Rs.240\nX = 240/20 = 12\n:. Cost of 1 pen = 5x = 5 x 12 = 60\n:. Cost of 12 pens, i.e. (one dozen) = 60 x 12 = Rs.720\nAnswer: Option B", "role": "assistant", "uuid": "e6f92b4c-7d86-4459-9bf5-e12217abdca1" } ]

{ "coherence": 2.8, "complexity": 1.43, "correctness": 2.35, "helpfulness": 2.9, "instruction-following": 3.35, "safety": 4.7, "verbosity": 1.01, "verbosity-coeff": -0.1261 }

[ { "content": "After getting 2 successive discounts, a shirt with a list price of Rs 150 is available at Rs 105. If the second discount is 12.55,find the first discount\n\n['A)22%', 'B)23%', 'C)21%', 'D)20%', 'E)17%']", "role": "user", "uuid": "2348fda9-5dd8-40cd-a256-925c526a7829" }, { "content": "Let the first discount be x%\nThen,87.5% of (100-x)% of 150= 105\n87.5/100*(100-x)/100*450=150=>105=>100-x=(105*100*100)/(150*87.5)=80\nx=(100-80)=20\nfirst discount = 20%\nOption D", "role": "assistant", "uuid": "be112c9e-b573-408d-877e-985d55c4568e" } ]

{ "coherence": 2.98, "complexity": 1.48, "correctness": 2.25, "helpfulness": 2.14, "instruction-following": 2.94, "safety": 6.02, "verbosity": 1.14, "verbosity-coeff": -0.1119 }

[ { "content": "ax ± b = c. All problems like the following lead eventually to an equation in that simple form.\nJane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?\n\n['A)28', 'B)26', 'C)24', 'D)22', 'E)20']", "role": "user", "uuid": "604c0cac-9578-4940-bb1b-a9cb120b57e6" }, { "content": "Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.\nLet x, then, be how much she spent for the blouse. The problem states that \"This\" -- that is, $42 -- was $14 less than two times x.\nHere is the equation:\n2x − 14 = 42.\n2x=42+14\n=56.\nx=56/2\n= 28\nThe blouse cost $28.\nAnswer is A.", "role": "assistant", "uuid": "63effa03-03cd-4458-a357-6591f3e01520" } ]

{ "coherence": 3.15, "complexity": 1.05, "correctness": 3.17, "helpfulness": 3.11, "instruction-following": 3.66, "safety": 3.19, "verbosity": 1.45, "verbosity-coeff": -0.1429 }

[ { "content": "Which greatest possible length can be used to measure exactly 12 meter 15 cm, 10 meter 15 cm and 10 meter 65 cm\n\n['A)45cm', 'B)25cm', 'C)4cm', 'D)5cm', 'E)50cm']", "role": "user", "uuid": "27b83589-ad6f-49c2-bce9-b9a5c937ec42" }, { "content": "Explanation:\nConvert first all terms into cm.\ni.e. 1215 cm, 1015cm, 1065cm.\nNow whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 5.\nOption D", "role": "assistant", "uuid": "17f7cab9-d29e-4df0-b2b4-a45cf63b8882" } ]

{ "coherence": 3.33, "complexity": 1.03, "correctness": 2.92, "helpfulness": 3.09, "instruction-following": 3.56, "safety": 5.79, "verbosity": 0.56, "verbosity-coeff": -0.1064 }

[ { "content": "If (y - 4)(z - 8) + 9(z - 8) = 0, then which of the following must be true?\n\n['A) y = -4 and z = -3', 'B) y = -4 or z = 8', 'C) y = -4 or z = 3', 'D) y = 1 and z = 3', 'E) y = 1 or z = 3']", "role": "user", "uuid": "ec4effa3-b877-4ae0-9a61-4c50fc20c074" }, { "content": "factor out:\n(z-8)(y-4+9)=0\n(z-8) (y+5) = 0\nSo by checking options we get ,\nB.", "role": "assistant", "uuid": "7a1e84ea-d3e5-4600-941f-db2bc412a333" } ]

{ "coherence": 2.84, "complexity": 1.76, "correctness": 1.95, "helpfulness": 1.94, "instruction-following": 2, "safety": 5.4, "verbosity": 1.09, "verbosity-coeff": -0.2064 }

[ { "content": "A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 60% more recliners. What is the percentage increase of the gross?\n\n['A)10%', 'B)15%', 'C)20%', 'D)28%', 'E)50%']", "role": "user", "uuid": "b1884b6a-3cb1-46dc-a595-0357bfd22075" }, { "content": "Say a recliner is actually worth $100\nIf she sells 100 recliners then she earns $10000\nAfter the discount of 20%, she will earn $80 per recliner and she sells 60% more ie.,160 recliners\nHence her sales tields 160*80=$12800\nIncrease in sales=12800-10000=$2800\nSo% increase = 2800*100/10000 =28%\nD is the answer", "role": "assistant", "uuid": "8c5d3319-a72a-4e4d-b205-3530c2ed5db8" } ]

{ "coherence": 3.05, "complexity": 2.06, "correctness": 2.59, "helpfulness": 2.57, "instruction-following": 2.66, "safety": 4.85, "verbosity": 1.81, "verbosity-coeff": -0.1363 }

[ { "content": "A work as fast as B. If B can complete a work in 8days independently,the number of days in which A and B can together finish the work in?\n\n['A)2days', 'B)2 2/3days', 'C)4days', 'D)5days', 'E)6days']", "role": "user", "uuid": "8fe6c7db-444c-4534-9642-5d886ea83df0" }, { "content": "Ratio of rates of working of A and B = 2:1\nratio of times taken = 1:2\nA's 1day work = 1/4\nB's 1day work = 1/8\nA+B 1day work = 1/4 + 1/8 = 3/8 => 8/3 = 2 2/3\nA and B can finish the work in 2 2/3days\nAnswer is B", "role": "assistant", "uuid": "54fd548f-d7b9-4d0d-b15f-b398485979b2" } ]

{ "coherence": 2.74, "complexity": 1.39, "correctness": 2.59, "helpfulness": 2.72, "instruction-following": 3.74, "safety": 5.95, "verbosity": 1.1, "verbosity-coeff": -0.1131 }

[ { "content": "The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.8. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?\n\n['A)1/5', 'B)2/5', 'C)3/5', 'D)4/5', 'E)12/25']", "role": "user", "uuid": "9bde855d-0efa-4fdb-bf9f-c0dd6e349efa" }, { "content": "p(m) =0.2\np(r) =0.2\np(m intersection r) = 0 (If events M and R cannot both occur)\np(m or r) = 0.2+0.2 =0.4\nCorrected !!\nAnswer B", "role": "assistant", "uuid": "1e43467a-9cac-49d7-b907-0babd18bd87d" } ]

{ "coherence": 2.88, "complexity": 1.29, "correctness": 2.35, "helpfulness": 2.45, "instruction-following": 2.45, "safety": 5.75, "verbosity": 0.95, "verbosity-coeff": -0.2318 }

[ { "content": "A, B and C enter into a partnership. They invest Rs. 70,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?\n\n['A)21 : 32 : 4', 'B)21 : 26 : 4', 'C)21: 12 : 1', 'D)21: 16 : 28', 'E)none']", "role": "user", "uuid": "88f0744d-8764-4fe9-a5fd-596f4f33fb12" }, { "content": "Sol.\nA : B : C = (40000 * 36) : (80000 * 12 + 40000 * 24)\n: (120000 * 24 + 40000 * 12) =252 : 192 : 336 = 21: 16 : 28\nAnswer D", "role": "assistant", "uuid": "c16e9888-dccc-4834-9c3a-2d69829c6147" } ]

{ "coherence": 2.45, "complexity": 1.5, "correctness": 2.14, "helpfulness": 2.29, "instruction-following": 2.76, "safety": 4.93, "verbosity": 1.04, "verbosity-coeff": -0.151 }

[ { "content": "A train running at a speed of 60 kmph crosses a pole in 3 seconds.What is the length of the train?\n\n['A)120 m', 'B)180 m', 'C)190 m', 'D)150 m', 'E)50 m']", "role": "user", "uuid": "2cc1e187-58b2-4c60-81b9-fd3865584ef8" }, { "content": "60 kmph=50/3 m/sec\n50/3*3=50 m\nANSWER:E", "role": "assistant", "uuid": "8b832371-7390-4816-bdb2-7b3cd4c3f2b6" } ]

{ "coherence": 2.29, "complexity": 1.32, "correctness": 1.72, "helpfulness": 1.68, "instruction-following": 2.39, "safety": 5.28, "verbosity": 0.72, "verbosity-coeff": -0.116 }

[ { "content": "Three runners W, B and C run a race, with runner W finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?\n\n['A)36m', 'B)48m', 'C)60m', 'D)72m', 'E)84m']", "role": "user", "uuid": "a54bda09-58c1-48b3-91b7-5ec6dc9106be" }, { "content": "Let distance of race be x mtrs. Then when W finishes x m , B has run (x- 12)mtrs and C has run x-18 mtrs. so at this point B is 6 m ahead of C. Now to finish race b needs to run another 12 m, so he runs another 12 m. when B finishes race he is 8 m ahead of C. so last 12 m B has run, C has run 10 m.\nas speeds are constant, we have equation,\nx-12/ x-18 = 12/10 > x = 48.\nAnswer B", "role": "assistant", "uuid": "36548222-e421-4807-ab01-96d89ed7ed59" } ]

{ "coherence": 2.68, "complexity": 1.28, "correctness": 2.21, "helpfulness": 2.27, "instruction-following": 2.86, "safety": 5.63, "verbosity": 1.2, "verbosity-coeff": -0.1913 }

[ { "content": "A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 200. The dividend from the stock is :\n\n['A)7.5 %', 'B)8 %', 'C)12.5 %', 'D)None of these', 'E)Cannot be determined']", "role": "user", "uuid": "fd263bdd-b1fc-41fa-bce5-3b462a9185e1" }, { "content": "Solution\nBy investing Rs. 1552,income = Rs. 200.\nBy investing Rs. 97, income = Rs. (200/1552x97)= Rs.12.5\n∴ Dividend =12.5%.\nAnswer C", "role": "assistant", "uuid": "ae3907dd-3b13-4c00-ad65-9b07930b6fe5" } ]

{ "coherence": 2.61, "complexity": 1.36, "correctness": 2.25, "helpfulness": 2.49, "instruction-following": 3.39, "safety": 4.77, "verbosity": 1.36, "verbosity-coeff": -0.116 }

[ { "content": "In expressing a length of 102.472 km as nearly as possible with the three significant digits, find the percentage error\n\n['A)0.38%', 'B)0.27%', 'C)0.027%', 'D)0.038%', 'E)None of these']", "role": "user", "uuid": "d160d41c-68cb-4315-acfc-a433868145d4" }, { "content": "Explanation:\nError = (102.5 - 102.472) = 0.028\nRequired percentage =\n0.028/ 102.472×100=0.027\nOption C", "role": "assistant", "uuid": "f83574ba-7e5c-48ed-bbfe-130f030c4383" } ]

{ "coherence": 2.51, "complexity": 1.66, "correctness": 2.33, "helpfulness": 2.08, "instruction-following": 2.88, "safety": 4.77, "verbosity": 1.11, "verbosity-coeff": -0.1402 }

[ { "content": "If the length, breadth and the height of a cuboid are in the ratio 6:5:4 and if the total surface area is 33300 cm2cm2, then the length , breadth and height in cms, are respectively.\n\n['A)90,85,60', 'B)85,75,60', 'C)90,75,70', 'D)90,75,60', 'E)none']", "role": "user", "uuid": "36a7040d-eb6d-4b79-aca2-74e482758201" }, { "content": "Explanation:\nLet length = 6x, breadth = 5x and height =4x in cm\n2(6x×5x+5x×4x+6x×4x)=33300\n148x2=33300⇒x2=33300/148=225⇒x=15\nLength = 90 cm, Breadth = 75 cm and Height = 60 cm\nCorrect Option: D", "role": "assistant", "uuid": "6d78d4ba-61a3-4e9b-8666-6bf9c3027da2" } ]

{ "coherence": 2.98, "complexity": 1.56, "correctness": 2.57, "helpfulness": 2.7, "instruction-following": 3.8, "safety": 3.97, "verbosity": 0.75, "verbosity-coeff": -0.1249 }

[ { "content": "If integers x and b are distinct factors of 30, which of the following CANNOT be a factor of 30?\nI. xb + b^2\nII. (x + b)^2\nIII. x + b\n\n['A)I only', 'B)II only', 'C)III only', 'D)I and II only', 'E)I, II, and III']", "role": "user", "uuid": "d47b2260-ac63-4fbf-a60d-a23f96b82d7a" }, { "content": "Factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.\nI. xb + b^2 --> if x=1 and b=2 then xb + b^2=6, which is a factor of 30. OK;\nII. (x + b)^2 --> (x + b)^2 is a perfect square, no perfect square (but 1) is a factor of 30. DISCARD;\nIII. x + b --> if x=1 and b=2 then x + b=3, which is a factor of 30. OK.\nAnswer: B.", "role": "assistant", "uuid": "67cc3bcd-bf6d-47a8-beb0-5689fbca028e" } ]

{ "coherence": 2.86, "complexity": 1.92, "correctness": 2.1, "helpfulness": 2.31, "instruction-following": 2.39, "safety": 5.79, "verbosity": 1.02, "verbosity-coeff": -0.2281 }

[ { "content": "Bhavan travelled for 20 hours. He covered the first half of the distance at 50 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by Bhavan?\n\n['A)888.89', 'B)788.89', 'C)899.89', 'D)688.89', 'E)899.99']", "role": "user", "uuid": "61e199da-8e2b-4bdc-a83f-b42ce4e9b76d" }, { "content": "Let the distance travelled be x km.\nTotal time = (x/2)/50 + (x/2)/40= 20 => x/100 + x/80 = 20 => (4x + 5x)/400 = 20\n=> x = 888.89 km\nAnswer:A", "role": "assistant", "uuid": "a9efc73d-ebe6-4f33-ad7a-7cf15d82785e" } ]

{ "coherence": 3.13, "complexity": 1.82, "correctness": 2.64, "helpfulness": 2.66, "instruction-following": 4.03, "safety": 4.66, "verbosity": 1.08, "verbosity-coeff": -0.1175 }

[ { "content": "Commodious means ‘spacious’, large, voluminous and extensive.\n\n['A)22', 'B)28', 'C)277', 'D)199', 'E)11']", "role": "user", "uuid": "9175cb7e-6009-4879-80c2-6cb9fbd281f6" }, { "content": "Answer:A", "role": "assistant", "uuid": "f275edc4-0736-4bcf-9200-04b98150b561" } ]

{ "coherence": 2.82, "complexity": 0.5, "correctness": 2.29, "helpfulness": 2.47, "instruction-following": 2.16, "safety": 4.5, "verbosity": 0.8, "verbosity-coeff": -0.0569 }

[ { "content": "Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?\n\n['A)11', 'B)27', 'C)36', 'D)99', 'E)27']", "role": "user", "uuid": "6438e0bc-84da-40d0-b806-ecb6d9a1fa7f" }, { "content": "Let the speed of each train be x m/sec.\nThen, relative speed of the two trains = 2x m/sec.\nSo, 2x = (120 + 120)/12 => x = 10\nSpeed of each train = 10 m/sec.\n= 10 * 18/5 =- 36 km/hr.\nAnswer: C", "role": "assistant", "uuid": "8aa1aed9-eb5f-4273-80bc-7ee905127b0c" } ]

{ "coherence": 2.64, "complexity": 1.87, "correctness": 2.21, "helpfulness": 2.45, "instruction-following": 3.74, "safety": 5.75, "verbosity": 1.53, "verbosity-coeff": -0.1047 }

[ { "content": "A merchandise feedback online portal accords ‘ratings’ to a product by recording the percentage of customers who have reported their views as either ‘satisfied’ or ‘unsatisfied’ only. The portal rounds off the exact percentage value calculated to the closest integral value. If the percentage of unsatisfied customers as recorded by the portal is 57%, what is the LEAST possible number of people that could have reported their views as ‘satisfied’ ?\n\n['A)2', 'B)3', 'C)12', 'D)43', 'E)57']", "role": "user", "uuid": "9e93d2d2-076d-4555-8184-c389a9412824" }, { "content": "57% unsatisfied . So ~43% satisfied\nBut 100% should be an integer only and since the above percentages are approximations 100% should be as close as possible to an integer.\nNow substitute value\n[1] If 43% is 2 what is 100% -> 200/43 is not giving a number which is closest to an integer.\n[2] If 43% is 3 what is 100% -> 300/43 [43*7=301] ...therefore closest possible to an integer. [It also satisfies the least possible and hence we need not check for other choices which are greater than 3]\nTherefore Ans is B.", "role": "assistant", "uuid": "ce586f33-fa49-4769-9d57-a1c645913a71" } ]

{ "coherence": 2.37, "complexity": 1.79, "correctness": 1.98, "helpfulness": 1.87, "instruction-following": 2.21, "safety": 5.55, "verbosity": 1.65, "verbosity-coeff": -0.1522 }

[ { "content": "George baked a total of 75 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?\n\n['A)5', 'B)4', 'C)2', 'D)6', 'E)7']", "role": "user", "uuid": "c12b6197-1458-489a-a76b-8b9dbb0999a2" }, { "content": "3/5 of the 75 pizzas cooked on Saturday = 45 pizzas\n3/5 of the remaining pizzas on Sunday = 18 pizzas\nWe're left with (75-45-18) =12 pizzas for the remaining 5 days. The prompt tells us that each day has FEWER pizzas than the day before it, so we can't have duplicate numbers.\nM T W TH F\n5 4 2 1 0 =12\nW=2\nC", "role": "assistant", "uuid": "e040f896-4d41-46bd-9043-f3640d64a96d" } ]

{ "coherence": 2.66, "complexity": 1.38, "correctness": 2.14, "helpfulness": 2.21, "instruction-following": 2.82, "safety": 5.52, "verbosity": 0.95, "verbosity-coeff": -0.2084 }

[ { "content": "Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 300 meters. They next meet after Sally has run 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?\n\n['A)250', 'B)300', 'C)350', 'D)700', 'E)500']", "role": "user", "uuid": "01e5361a-c3f0-4959-bb2a-3fd25c1b4452" }, { "content": "Nice problem. +1.\nFirst timetogetherthey run half of the circumference.\nSecond timetogetherthey run full circumference.\nFirst time Brenda runs 300 meters, thus second time she runs 2*300 = 600 meters.\nSince second time (when they run full circumference) Brenda runs 600 meters and Sally runs 150 meters, thus the circumference is 600 + 150 = 750 meters.\nAnswer: D.", "role": "assistant", "uuid": "acab8c9a-7113-40ff-b495-863717f0809b" } ]

{ "coherence": 2.9, "complexity": 0.97, "correctness": 2.16, "helpfulness": 2.41, "instruction-following": 3.05, "safety": 5.75, "verbosity": 0.91, "verbosity-coeff": -0.2055 }

[ { "content": "Four children have small toys. The first child has 1/10 of the toys, the second child has 12 more toys than the first, the third child has one more toy of what the first child has and the fourth child has double the third child. How many toys are there?\n\n['A)20 toys', 'B)30 toys', 'C)40 toys', 'D)60 toys', 'E)50 toys']", "role": "user", "uuid": "d8aeac53-3182-44c7-a90e-6175b2f24a4d" }, { "content": "x : the total number of toys\nx/10 : the number of toys for first child\nx/10 + 12 : the number of toys for second child\nx/10 + 1 : the number of toys for the third child\n2(x/10 + 1) : the number of toys for the fourth child\nx/10 + x/10 + 12 + x/10 + 1 + 2(x/10 + 1) = x\nx = 30 toys : solve for x\ncorrect answer B", "role": "assistant", "uuid": "69a060a7-f6b1-4898-8af3-34f64caf23bf" } ]

{ "coherence": 3.02, "complexity": 1.7, "correctness": 2.68, "helpfulness": 2.84, "instruction-following": 3.66, "safety": 5.12, "verbosity": 0.85, "verbosity-coeff": -0.1141 }

[ { "content": "A is twice as good a workman as B and together they complete a work in 12 days. In how many days A alone can do the work?\n\n['A)32', 'B)33', 'C)34', 'D)35', 'E)36']", "role": "user", "uuid": "bafa40ae-4440-4f39-828c-e51243d04b90" }, { "content": "A’s one day’s work : B’s one day’s work= 2:1\n(A+B)’s one day’s work= 1/12\nB’s one day’s work= 1/12 *1/3 = 1/36\nB alone can do the work in 36 days\nANSWER:E", "role": "assistant", "uuid": "55069896-ac47-464f-8e1c-58bbe37f38b5" } ]

{ "coherence": 2.92, "complexity": 1.67, "correctness": 2.53, "helpfulness": 2.64, "instruction-following": 3.33, "safety": 5.4, "verbosity": 1.05, "verbosity-coeff": -0.145 }

[ { "content": "12,31,68,129,220,347,?\n\n['A)129', 'B)220', 'C)347', 'D)516', 'E)520']", "role": "user", "uuid": "fbae647e-21d1-4a99-9500-ba9bd1b8b1cb" }, { "content": "2*2*2 + 4 = 12\n3*3*3 +4 = 31\n4*4*4 + 4 = 68\n5*5*5 + 4 = 129\n6*6*6 + 4 = 220\n7 *7 *7 + 4 = 347\n8 *8 *8 + 4 = 516.\nANSWER : D", "role": "assistant", "uuid": "d0f1ae60-09ff-4e81-8cc0-7f096ac7e58b" } ]

{ "coherence": 2.31, "complexity": 2, "correctness": 2.2, "helpfulness": 2.29, "instruction-following": 2.76, "safety": 3.54, "verbosity": 1.58, "verbosity-coeff": -0.0746 }

[ { "content": "Which of the following equations represents a line that is perpendicular to the line described by the equation 4x + 3y = 9?\n\n['A)3x + 4y = 18', 'B)3x – 4y = 24', 'C)5y – 3x = 26', 'D)1.5y + 2x = 18', 'E)8x – 6y = 24']", "role": "user", "uuid": "e6ea94e9-1df0-4721-859e-971a97ba661a" }, { "content": "Perpendicular lines have slopes which are negative reciprocals of each other.\nThe line 4x + 3y = 9 in slope-intercept form is y = -(4/3)x + 3\nThe slope of this line is -4/3.\nThe slope of a perpendicular line is 3/4.\n3x - 4y = 24 in slope-intercept form is y = (3/4)x - 6\nThe answer is B.", "role": "assistant", "uuid": "8fa72c92-f493-400a-8413-9189a694cc28" } ]

{ "coherence": 2.86, "complexity": 1.79, "correctness": 2.23, "helpfulness": 2.31, "instruction-following": 2.57, "safety": 4.54, "verbosity": 1.03, "verbosity-coeff": -0.2007 }

[ { "content": "Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?\n\n['A)22', 'B)28', 'C)48', 'D)277', 'E)12']", "role": "user", "uuid": "641e941c-eaea-4146-8942-534a58c9d6b2" }, { "content": "Relative speed = 45 + 30 = 75 km/hr.\n75 * 5/18 = 125/6 m/sec.\nDistance covered = 500 + 500 = 1000 m.\nRequired time = 1000 * 6/125 = 48 sec.Answer:C", "role": "assistant", "uuid": "2dc9a04a-c043-4372-b45b-5d0aa41de8ed" } ]

{ "coherence": 2.43, "complexity": 1.58, "correctness": 2.2, "helpfulness": 2.23, "instruction-following": 3.88, "safety": 5.87, "verbosity": 1.09, "verbosity-coeff": -0.1077 }

[ { "content": "A father said to his son, \"I was as old as you are at the present at the time of your birth\". If the father's age is 48 years now, the son's age five years back was:\n\n['A)14', 'B)17', 'C)19', 'D)22', 'E)24']", "role": "user", "uuid": "b8d14a53-80e5-4c8f-be4f-0d23b93757b0" }, { "content": "Let the son's present age be x years. Then, (48 - x) = x\n2x = 48.\nx = 24.\nSon's age 5 years back (24 - 5) = 19 years.\nanswer :C", "role": "assistant", "uuid": "ef164368-108a-40ed-8788-eae07667aab9" } ]

{ "coherence": 3.07, "complexity": 1.11, "correctness": 2.72, "helpfulness": 2.92, "instruction-following": 3.54, "safety": 4.81, "verbosity": 0.92, "verbosity-coeff": -0.1199 }

[ { "content": "Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10\n\n['A)13', 'B)15', 'C)17', 'D)19', 'E)21']", "role": "user", "uuid": "b9e4461f-babe-4556-b4a3-796cfe207cd8" }, { "content": "A. 13 (cannot be weighed)\nB. 15 (can be weighed by keeping weights of 10,4 and 1 kg)\nC. 17 (can be weighed by keeping weights of 10 and 7 kg)\nD. 11(can be weighed by keeping weights of 10 and 1 kg)\nE. 21 (can be weighed by keeping weights of 10, 7 and 4 kg)\nA", "role": "assistant", "uuid": "31849d44-9913-4ba1-9f38-4cb5ec0112de" } ]

{ "coherence": 2.43, "complexity": 1.69, "correctness": 1.65, "helpfulness": 1.44, "instruction-following": 1.3, "safety": 2.62, "verbosity": 1.23, "verbosity-coeff": -0.1541 }

[ { "content": "Find the ones digit of 73^300\n\n['A)3', 'B)5', 'C)6', 'D)7', 'E)10']", "role": "user", "uuid": "d8fcb7f1-6228-4db2-8ec1-6c7727008b8f" }, { "content": "Cyclicity of 3 is 3,9,7,1after 4 multiplication again the cycle repeats.\nSo divide 330 by 4 and we get 87 as quotient and 2 as remainder. So cycle will run for 87 times and then 2 times more. So pick up the 2nd item from the cycle.\nHence Answer E.", "role": "assistant", "uuid": "2d422a7f-768f-4640-8144-1d775d2be330" } ]

{ "coherence": 2.45, "complexity": 1.85, "correctness": 1.59, "helpfulness": 1.46, "instruction-following": 1.55, "safety": 4.85, "verbosity": 0.91, "verbosity-coeff": -0.1852 }

[ { "content": "Mohit sold an article for Rs. 18000. Had he offered a discount of 16% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?\n\n['A)14000', 'B)27767', 'C)16688', 'D)26678', 'E)19987']", "role": "user", "uuid": "78171527-d041-468d-a587-fd9edb36217a" }, { "content": "Let the CP be Rs. x.\nHad he offered 16% discount, profit = 8%\nProfit = 8/100 x and hence his SP = x + 8/100 x = Rs. 1.08x = 18000 - 16/100(18000) = Rs. 15120\n=> 1.08x = 15120\n=> x = 14000\n\\Answer: A", "role": "assistant", "uuid": "c613249b-fbcf-427f-898a-16ddf50fc46c" } ]

{ "coherence": 3.35, "complexity": 1.75, "correctness": 2.84, "helpfulness": 2.9, "instruction-following": 3.88, "safety": 4.77, "verbosity": 1.22, "verbosity-coeff": -0.1249 }

[ { "content": "A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?\n\n['A)157 m', 'B)717 m', 'C)142 m', 'D)150 m', 'E)152 m']", "role": "user", "uuid": "81f90782-b486-42c4-a3d9-9a9b0439c2d2" }, { "content": "Speed=(60 * 5/18) m/sec\n= (50/3) m/sec Length of the train\n= (Speed x Time) = (50/3 * 9) m\n= 150 m.\nAnswer:D", "role": "assistant", "uuid": "37b80f1e-05b9-4fa2-986a-a12625803c0d" } ]

{ "coherence": 2.74, "complexity": 0.86, "correctness": 2.2, "helpfulness": 2.35, "instruction-following": 3.97, "safety": 5.12, "verbosity": 0.91, "verbosity-coeff": -0.1132 }

[ { "content": "The bus fare for two persons for travelling between Agra and Aligarh id four-thirds the train fare between the same places for one person. The total fare paid by 6 persons travelling by bus and 8 persons travelling by train between the two places is Rs.1512. Find the train fare between the two places for one person?\n\n['A)126', 'B)77', 'C)88', 'D)66', 'E)54']", "role": "user", "uuid": "1b93b63b-d904-4b9f-a72e-fc161f179f17" }, { "content": "Let the train fare between the two places for one person be Rs.t\nBus fare between the two places for two persons Rs.4/3 t\n=> 6/2 (4/3 t) + 8(t) = 1512\n=> 12t = 1512 => t = 126.\nAnswer:A", "role": "assistant", "uuid": "ed0aa783-faba-402c-9f7b-17811f8fb4b9" } ]

{ "coherence": 3.09, "complexity": 1.11, "correctness": 2.39, "helpfulness": 2.61, "instruction-following": 3.72, "safety": 5.59, "verbosity": 1.07, "verbosity-coeff": -0.1248 }

[ { "content": "The integers 1, 2, … , 40 are written on a blackboard. The following operation is then repeated 39\ntimes: In each repetition, any two numbers, say a and b, currently on the blackboard are erased and a new\nnumber a + b – 1 is written. What will be the number left on the board at the end?\n\n['A)23', 'B)122', 'C)781', 'D)377', 'E)272']", "role": "user", "uuid": "c457c76a-5535-413b-8db1-a02e1d56c399" }, { "content": "Initial sum of the number 1 to 40 = n(n+1)2=40×412=840n(n+1)2=40×412=840\nAfter erasing two numbers a and b, and replacing with (a + b − 1), the new sum of the terms of the\nsequence = 820 − 1\nSimilarly, after every operation, the sum of the terms of the sequence reduces by 1.\n∴ The last number left (i.e. final sum) = 820 − 39 = 781\nAnswer:C", "role": "assistant", "uuid": "03262efe-1821-4a45-a841-82446829d3e0" } ]

{ "coherence": 2.35, "complexity": 2.41, "correctness": 1.88, "helpfulness": 2.1, "instruction-following": 2.76, "safety": 5.63, "verbosity": 1.5, "verbosity-coeff": -0.2037 }

[ { "content": "20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?\n\n['A)2.', 'B)4.', 'C)5.', 'D)6', 'E)8.']", "role": "user", "uuid": "9135ccad-138a-4314-bb69-d23c581afd4b" }, { "content": "Total Work = 20*3= 60 Beaver hours\n12 Beaver * x =60 Beaver hours\nx=60/12=5\nANSWER:D", "role": "assistant", "uuid": "722af9d9-a814-49e7-84e1-d33c2e56e80b" } ]

{ "coherence": 2.61, "complexity": 1.38, "correctness": 2.49, "helpfulness": 2.43, "instruction-following": 3.09, "safety": 6.61, "verbosity": 0.92, "verbosity-coeff": -0.1444 }

[ { "content": "People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\n\n['A)18', 'B)22', 'C)42', 'D)41', 'E)74']", "role": "user", "uuid": "23162a6e-9e48-4281-9778-8c279a76cdc4" }, { "content": "The correct answer should not take the form: 4x + 2. Hence, it is D", "role": "assistant", "uuid": "0f018535-fe77-4f79-9965-886f67a2dcb0" } ]

{ "coherence": 2.35, "complexity": 1.39, "correctness": 1.8, "helpfulness": 1.7, "instruction-following": 2.08, "safety": 5.75, "verbosity": 0.79, "verbosity-coeff": -0.1893 }

[ { "content": "one men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?\n\n['A)4 days', 'B)5 days', 'C)6 days', 'D)7 days', 'E)8 days']", "role": "user", "uuid": "f65b6b11-28d0-45e0-b752-4960e9889095" }, { "content": "1M + 3W ----- 35 h\n4M + 4W ------- 21 h\n7M -------? d\n35M + 105W = 84M +84M\n21W = 49M\n4 * 35 = 7 * x => x = 20 hours\n20/4 = 5 days\nANSWER:B", "role": "assistant", "uuid": "9363cf91-41b4-420e-838d-b4ba4192a422" } ]

{ "coherence": 2.43, "complexity": 1.32, "correctness": 1.95, "helpfulness": 2.08, "instruction-following": 2.59, "safety": 5.63, "verbosity": 0.6, "verbosity-coeff": -0.1198 }

[ { "content": "In how many different ways can the letters of the word ‘LOVE’ be arranged ?\n\n['A)24', 'B)120', 'C)720', 'D)40320', 'E)6']", "role": "user", "uuid": "574222b6-002f-47bc-ab14-2a31432bb702" }, { "content": "A\n24\nRequired number of arrangements = 4! = 24", "role": "assistant", "uuid": "9482f34a-4692-417c-8176-95299c313109" } ]

{ "coherence": 3.13, "complexity": 1.3, "correctness": 2.94, "helpfulness": 3, "instruction-following": 2.78, "safety": 3.21, "verbosity": 1.19, "verbosity-coeff": -0.0999 }

[ { "content": "The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is:\n\n['A)7', 'B)29', 'C)41', 'D)67', 'E)76']", "role": "user", "uuid": "b5f19310-9300-4bc3-99ef-1feba59f405a" }, { "content": "x+(x+36)+y=100 => 2x+y=64\nTherefore y must be even prime, which is 2.\nTherefore 2x+2=64 => x=31\nThird prime number= (x+36)= (31+36)= 67.\nANSWER:C", "role": "assistant", "uuid": "fe379422-4a0e-49cc-bb9c-a4c39c0b1557" } ]

{ "coherence": 2.59, "complexity": 1.88, "correctness": 2.21, "helpfulness": 2.25, "instruction-following": 3, "safety": 5.55, "verbosity": 1.68, "verbosity-coeff": -0.2138 }

[ { "content": "The number of new words that can be formed by rearranging the letters of the word 'tuesday' is?\n\n['A)5040', 'B)7', 'C)1', 'D)5041', 'E)5039']", "role": "user", "uuid": "f01375f4-9f36-49ae-8703-26b3f8d6c959" }, { "content": "Number of words which can be formed\n= 7! - 1 = 5040 - 1\n= 5039.\nAnswer:E", "role": "assistant", "uuid": "b3c1015e-5964-4603-986f-f35cb2c02fc2" } ]

{ "coherence": 2.61, "complexity": 1.4, "correctness": 2.12, "helpfulness": 2.39, "instruction-following": 3, "safety": 4.44, "verbosity": 1.29, "verbosity-coeff": -0.0937 }

[ { "content": "There are 9 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?\n\n['A)10', 'B)36', 'C)45', 'D)60', 'E)90']", "role": "user", "uuid": "d8c43e0a-f3dc-4644-b06d-bfaafeb23e60" }, { "content": "10 players are there.\ntwo players play one game with one another.\nso 9C2=9*8/2\n=36\nSO OPTION B is correct", "role": "assistant", "uuid": "913b95cf-a6fc-44e2-8938-5985da4dd722" } ]

{ "coherence": 2.57, "complexity": 1.33, "correctness": 1.86, "helpfulness": 2.08, "instruction-following": 2.08, "safety": 4.81, "verbosity": 1.14, "verbosity-coeff": -0.1479 }

[ { "content": "A team has to design a flag. The team has four yellow strips of cloth and five green strips of cloth that they must use as is to make the flag. How many different flags can the team design with the materials at hand?\n\n['A) 24', 'B) 120', 'C) 126', 'D) 140', 'E) 156']", "role": "user", "uuid": "9d36069f-120b-4efd-84cb-b7ce9a972d51" }, { "content": "The # of permutations of total 4+5=9 strips where 4 are identical yellow and 5 are identical green is 9!/(4!*5!)=126 (note that they must use all the materials at hand, also I guess that the strips must be either only vertical or only horizontal).\nAnswer: C.", "role": "assistant", "uuid": "d7a240c0-1f0d-4dbd-93c5-fec6fce682f4" } ]

{ "coherence": 2.96, "complexity": 1.04, "correctness": 2.08, "helpfulness": 2.04, "instruction-following": 2.8, "safety": 4.7, "verbosity": 0.96, "verbosity-coeff": -0.1945 }

[ { "content": "A train moves past a house and a river bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?\n\n['A)79.2 km/hr', 'B)60.5 km/hr', 'C)65 km/hr', 'D)62.5 km/hr', 'E)75.2 km/hr']", "role": "user", "uuid": "76d33a52-8eed-424c-a41b-c656548fac1e" }, { "content": "length of the train be p metres and its speed - q m/sec.\np/q = 8 => p = 8q\np+264/20 = q\n8q+264 = 20q\nq = 22\nspeed = 22 m/s = (22*18/5) = 79.2 km/hr\nANSWER A", "role": "assistant", "uuid": "bb724a16-a04e-4319-b3e9-f197a48a9890" } ]

{ "coherence": 2.68, "complexity": 1.8, "correctness": 2.14, "helpfulness": 2.1, "instruction-following": 2.9, "safety": 5.16, "verbosity": 1.3, "verbosity-coeff": -0.1163 }

[ { "content": "A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:4, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, what is the ratio of water to salt in the solution?\n\n['A)3:8', 'B)3:9', 'C)3:4', 'D)3:12', 'E)4:12']", "role": "user", "uuid": "ae70c38a-5e6c-4a73-b3a2-80f08d1b91d8" }, { "content": "Water:soap = 3:4\nSoap:Salt=12:16\n=> For 12 soap, salt = 16\n=> For 4 Soap, salt = (16/12)*4 = 16/12=64/12=18/3=6/1\nSo, water:soap:salt = 3:4:6 = 3:4:6\nAfter open container, water:soap:salt = 1.5:4:6\nSo, water:salt = 1.5:6 = 3:12\nANSWER:D", "role": "assistant", "uuid": "7c232a87-b9bc-445a-b1fa-d8e9f6a36abf" } ]

{ "coherence": 2.43, "complexity": 1.54, "correctness": 1.41, "helpfulness": 1.48, "instruction-following": 2, "safety": 4.46, "verbosity": 1.11, "verbosity-coeff": -0.2216 }

[ { "content": "Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/4, what percent of the total number of the remaining employees would then be clerical?\n\n['A) 25%', 'B) 28.1%', 'C) 20%', 'D) 12.5%', 'E) 11.1%']", "role": "user", "uuid": "8579d177-6b34-4297-ac76-3c72e0d1df3f" }, { "content": "Welcome, just post the question and the choices\nLet's see, the way I did it was\n1/3 are clerical out of 3600 so 1200 are clerical\n1200 reduced by 1/4 is 1200*1/4\nso it reduced 300 people , so there is 900 clerical people left\nbut since 300 people left, it also reduced from the total of 3600 so there are 3300 people total\nsince 900 clerical left / 3200 people total\nAnswer : B", "role": "assistant", "uuid": "02d39133-ad6d-45c9-9c46-111096548ab2" } ]

{ "coherence": 2.29, "complexity": 0.4, "correctness": 2.04, "helpfulness": 1.83, "instruction-following": 2.18, "safety": 5.87, "verbosity": 0.96, "verbosity-coeff": -0.1561 }

[ { "content": "Which of the following inequalities is equivalent to −5 < x < 1?\n\n['A)|x - 1| < 7', 'B)|x + 2| < 3', 'C)|x + 3| < 5', 'D)|x - 2| < 6', 'E)None of the above']", "role": "user", "uuid": "56c6b350-2b44-431c-ba69-2fc5ee29c9bb" }, { "content": "We know that |x| < a means -a < x < a, where Sum of lower limit of x (i.e -a) and the upper limit of x (i.e a), is 0\nGiven is, -5 < x < 1, let's say by adding y to this inequality we will get into the above format\n-5+y < x+y < 1+y\nNow, to move this into the mod format, we need to have (-5+y) + (1+y) = 0 => y = 2\nThus, -3< x+2 < 3 => |x+2| < 3.\nHence, answer is B", "role": "assistant", "uuid": "55e45800-b9b2-4174-92b7-03bede1b0187" } ]

{ "coherence": 2.51, "complexity": 1.87, "correctness": 2.16, "helpfulness": 2.08, "instruction-following": 2.8, "safety": 6.14, "verbosity": 1.31, "verbosity-coeff": -0.1614 }