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[ { "content": "Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.\n\n['A)4/9', 'B)2 4/9', 'C)3 4/9', 'D)4 4/9', 'E)None of these']", "role": "user", "uuid": "aada3498-dffe-4d4f-8793-12d6347d3953" }, { "content": "Explanation:\nIn this type of questions, first we need to calculate 1 hours work, then their collective work as,\nA's 1 hour work is 1/8\nB's 1 hour work is 1/10\n(A+B)'s 1 hour work = 1/8 + 1/10\n= 9/40\nSo both will finish the work in 40/9 hours\n=\n4 4/9\nOption D", "role": "assistant", "uuid": "2e34950d-e37c-41cf-b225-5e59a1c3b04a" } ]

{ "coherence": 2.41, "complexity": 1.52, "correctness": 2.16, "helpfulness": 2.2, "instruction-following": 3.33, "safety": 5.98, "verbosity": 0.81, "verbosity-coeff": -0.1109 }

[ { "content": "A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75, the runs scored by B are?\n\n['A)23', 'B)18', 'C)20', 'D)19', 'E)21']", "role": "user", "uuid": "c23c7ac5-9cb6-4138-aad2-521e981cb66d" }, { "content": "Answer: Option B\na:b = 2:3\nb:c = 2:5\na:b:c = 4:6:15\n6/25 * 75 = 18", "role": "assistant", "uuid": "0a70dd2a-d814-48c4-84ae-c3b525ea1063" } ]

{ "coherence": 3.33, "complexity": 1.34, "correctness": 3.23, "helpfulness": 3.39, "instruction-following": 3.39, "safety": 4.73, "verbosity": 0.71, "verbosity-coeff": -0.1146 }

[ { "content": "The ratio of the volumes of two cubes is 1331 : 2197. What is the ratio of their total surface areas?\n\n['A)121 : 169', 'B)169 : 122', 'C)81 : 124', 'D)81 : 126', 'E)81 : 129']", "role": "user", "uuid": "b2ba8255-3b56-4375-89ed-cf9cd7588c36" }, { "content": "Ratio of the sides = 3√1331 : 3√2197 = 11 : 13\nRatio of surface areas = 11^2 : 13^2 = 121 : 169\nAnswer: Option A", "role": "assistant", "uuid": "c611f9c5-42b9-4781-8ac7-079646843c88" } ]

{ "coherence": 2.9, "complexity": 1.81, "correctness": 2.29, "helpfulness": 2.68, "instruction-following": 3.35, "safety": 5.36, "verbosity": 1.09, "verbosity-coeff": -0.2143 }

[ { "content": "What are the next two letters in the following series and why?\nW A T N T L I T F S _ _\n*Hint : Look into the title of the Riddle\n\n['A)A and W', 'B)A and E', 'C)B and W', 'D)A and C', 'E)S and W']", "role": "user", "uuid": "c24f0b8f-4345-44d4-b462-4c6ba1478520" }, { "content": "A\nA and W.\nThe letters are the first letters of the words in the question. Thus, the next two letters are A and W.", "role": "assistant", "uuid": "bbaf9c1c-1ef4-475b-9568-ae4c99d7c0f3" } ]

{ "coherence": 2.45, "complexity": 1.31, "correctness": 1.49, "helpfulness": 1.69, "instruction-following": 1.29, "safety": 3.99, "verbosity": 1.29, "verbosity-coeff": -0.0935 }

[ { "content": "If -1 < a < 0, which of the following must be true? I. a^9 < a^4 II. a^3 < 1 – a III. a^6 < a^3\n\n['A)I only', 'B)III only', 'C)I,II,III only', 'D)II only', 'E)I,III only']", "role": "user", "uuid": "1b620210-3318-4acd-8131-4422bdc00243" }, { "content": "Answer : C", "role": "assistant", "uuid": "22117097-ad04-45e7-9eab-ed0af89623b5" } ]

{ "coherence": 2.76, "complexity": 1.63, "correctness": 1.61, "helpfulness": 1.47, "instruction-following": 1.65, "safety": 4.73, "verbosity": 0.71, "verbosity-coeff": -0.2213 }

[ { "content": "A tour group of 25 people paid a total of $670 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax?\nChoices\n\n['A)$22', 'B)$23.94', 'C)$24', 'D)$25.46', 'E)$30']", "role": "user", "uuid": "f002f1a9-76b2-41c9-a21c-8e6d968fd363" }, { "content": "D.", "role": "assistant", "uuid": "b83db390-a46d-4687-ba48-349dd96b0fe8" } ]

{ "coherence": 2.72, "complexity": 0.18, "correctness": 1.41, "helpfulness": 1.56, "instruction-following": 0.72, "safety": 4.54, "verbosity": 0.12, "verbosity-coeff": -0.1854 }

[ { "content": "H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 24 * 35 * 52 * 72. The third number is?\n\n['A)22 * 35 * 72', 'B)22 * 35 * 78', 'C)22 * 35 * 72', 'D)22 * 35 * 71', 'E)22 * 35 * 73']", "role": "user", "uuid": "eeeb6162-5bb7-4f9e-ab10-cff39f040a02" }, { "content": "3240 = 23 * 34 * 5; 3600 = 24 * 32 * 52\nH.C.F = 36 = 22 * 32\nSince H.C.F is the product of lowest powers of common factors, so the third number must have (22 * 32 ) as its factor.\nSince L.C.M is the product of highest powers of common prime factors, so the third number must have 35 and 72 as its factors.\nThird number = 22 * 35 * 72\nAnswer:A", "role": "assistant", "uuid": "93a6d8c0-d0ad-4692-ab4a-6332177398ac" } ]

{ "coherence": 2.62, "complexity": 1.67, "correctness": 1.56, "helpfulness": 1.94, "instruction-following": 1.94, "safety": 5.71, "verbosity": 1.07, "verbosity-coeff": -0.1198 }

[ { "content": "A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets\n\n['A)20%', 'B)50%', 'C)60%', 'D)70%', 'E)80%']", "role": "user", "uuid": "d7a9016e-aa4e-4e0f-b1eb-aba7debee0ae" }, { "content": "Number of runs made by running = 110 - (3 x 4 + 8 x 6)\n= 120 - (60)\n= 60\nNow, we need to calculate 60 is what percent of 120.\n=> 60/120 * 100 = 50%\nB", "role": "assistant", "uuid": "d76bb014-8c77-4001-ad18-ab238ed19f03" } ]

{ "coherence": 2.92, "complexity": 1.55, "correctness": 2.53, "helpfulness": 2.55, "instruction-following": 3.07, "safety": 5.2, "verbosity": 1.64, "verbosity-coeff": -0.1197 }

[ { "content": "The sum of three integers A, B and C is 300. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?\n\n['A)175', 'B)180', 'C)185', 'D)190', 'E)195']", "role": "user", "uuid": "38f2a821-846a-49c1-90d4-d183dce29099" }, { "content": "A is one third of the sum of B and C..\nor A=1/3(B+C)...\nBut A+B+C=300\nso 1/3(B+C)+B+C=300\n4(B+C)/3= 300\nB+C =300*3/4 = 225\nA=300-225=75\n2)B is one fifth of the sum of A and C\nor B=1/5(A+C)...\nBut A+B+C=300\nso 1/5(A+C)+A+C=300\nA+C=300*5/6=250\nbut A=75, so C=250-75=175\nAnswer : A", "role": "assistant", "uuid": "53b2af00-4f2b-4bc7-b21e-15108dcf38b0" } ]

{ "coherence": 2.7, "complexity": 1.56, "correctness": 1.98, "helpfulness": 2.16, "instruction-following": 2.49, "safety": 5.55, "verbosity": 1.51, "verbosity-coeff": -0.1899 }

[ { "content": "If the radius of a circle is diminished by 10%, then the area is diminished by:\n\n['A)200%', 'B)210%', 'C)300%', 'D)310%', 'E)None of these']", "role": "user", "uuid": "fc16d36f-e925-4454-87a1-9e7838a820a8" }, { "content": "Explanation:\nLet the original radius be R cm. New radius = 2R\nArea=πR2\nNew Area =π2R2\n=4πR2\nIncrease in area =(4πR2−πR2)=3πR2\nIncrease percent =3πR2 /πR2∗100=300%\nOption C", "role": "assistant", "uuid": "79ad52c4-6685-4b6e-a2c1-81a690505331" } ]

{ "coherence": 2.21, "complexity": 1.79, "correctness": 1.31, "helpfulness": 1.2, "instruction-following": 1.41, "safety": 3.66, "verbosity": 1.36, "verbosity-coeff": -0.109 }

[ { "content": "One fourth of one third of two fifth of a number is 25. What will be40% of that number\n\n['A)A)140', 'B)B)150', 'C)C)180', 'D)D)200', 'E)E)300']", "role": "user", "uuid": "cd6465c8-45a1-42ec-837b-9f8f14403d26" }, { "content": "Explanation:\n(1/4) * (1/3) * (2/5) * x = 25\nthen x = 25 * 30 = 750\n40% of 750 = 300\nAnswer: Option E", "role": "assistant", "uuid": "66a6710e-efb4-4a64-8a35-928049ebb4d7" } ]

{ "coherence": 3.05, "complexity": 2.1, "correctness": 2.64, "helpfulness": 2.76, "instruction-following": 3.35, "safety": 4.77, "verbosity": 0.82, "verbosity-coeff": -0.118 }

[ { "content": "In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?\n\n['A)63', 'B)12', 'C)45', 'D)72', 'E)36']", "role": "user", "uuid": "3e68f9fa-3efd-4b20-97f0-fb509e3d0347" }, { "content": "Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.\nAns: A", "role": "assistant", "uuid": "b9362472-6147-4bfc-8e6b-958440d283d1" } ]

{ "coherence": 3.15, "complexity": 1.59, "correctness": 2.57, "helpfulness": 2.7, "instruction-following": 3.33, "safety": 5.32, "verbosity": 1.17, "verbosity-coeff": -0.1703 }

[ { "content": "A and B are working on an assignment. A takes 6 hours to type 32 pages on a computer, while B takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?\n\n['A)5 hours', 'B)6 hours', 'C)7 hours', 'D)8 hours', 'E)9 hours']", "role": "user", "uuid": "f72478a4-d48e-4e85-aa25-2d45a81bfe3e" }, { "content": "Number of pages typed by A in one hour=32/6=16/3\nNumber of pages typed by B in one hour=40/5=8\nNumber of pages typed by both in one hour=((16/3)+8)=40/3\nTime taken by both to type 110 pages=110*3/40=8 hours.\nAnswer : D.", "role": "assistant", "uuid": "69bbdabb-5cff-40bc-b302-623ad3e8322c" } ]

{ "coherence": 2.96, "complexity": 1.18, "correctness": 2.35, "helpfulness": 2.53, "instruction-following": 3.33, "safety": 5.83, "verbosity": 0.88, "verbosity-coeff": -0.12 }

[ { "content": "If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x\n\n['A)72', 'B)58', 'C)64', 'D)29', 'E)28']", "role": "user", "uuid": "ab4263df-9f7b-4d1b-a713-69e8e30a173d" }, { "content": "Explanation:\nThe given equations are :\n2x + 3y = 30 --------- (i)\nand, (x+y)/y = 11/8\n8x + 8y = 11y\n8x – 3y =0 ----(ii)\nAdding (i) & (ii), we get : 10 x = 30 or x = 3.\nPut x = 3 in (i), we get : y = 8\nTherefore, 5y + 6x = (5 * 8 + 6 * 3) = 40 + 18 = 58.\nANSWER: B", "role": "assistant", "uuid": "97fdf946-90c0-45c6-9ef2-9047c830ea9e" } ]

{ "coherence": 2.8, "complexity": 1.73, "correctness": 2.1, "helpfulness": 2.39, "instruction-following": 3.13, "safety": 5.16, "verbosity": 1.44, "verbosity-coeff": -0.1247 }

[ { "content": "At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number R of different possible seating arrangements for the group?\n\n['A)5', 'B)10', 'C)24', 'D)32', 'E)120']", "role": "user", "uuid": "b85700b8-aaa5-49b4-8043-d2cf046f1061" }, { "content": "Circular arrangements= (n-1)!\nHence (4!) = 24=R\nAnswer is C", "role": "assistant", "uuid": "652a9ca4-383c-45bd-9781-8354ef117ed6" } ]

{ "coherence": 2.72, "complexity": 1.51, "correctness": 2.53, "helpfulness": 2.49, "instruction-following": 3.25, "safety": 5.98, "verbosity": 1.26, "verbosity-coeff": -0.2205 }

[ { "content": "The “connection” between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. For instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is 24/96 = 1/4\nThe positive integer y is less than 20 and the connection between y and 6 is equal to 1/1. How many possible values of y are there?\n\n['A)7', 'B)8', 'C)9', 'D)10', 'E)11']", "role": "user", "uuid": "a1f7f6db-35b3-42c9-b276-efecc65c5681" }, { "content": "Since “connection” between y and 6 is 1/1 then LCM(6, y)=6y, which means that 6 and y are co-prime (they do not share any common factor but 1), because if the had any common factor but 1 then LCM(6, y) would be less than 6y.\nSo, we should check how many integers less than 20 are co-prime with 6, which can be rephrased as how many integers less than 20 are not divisible by 2 or 3 (6=2*3).\nThere are (18-2)/2+1=9 multiples of 2 in the range from 0 to 20, not inclusive;\nThere are (18-3)/3+1=6 multiples of 3 in the range from 0 to 20, not inclusive;\nThere are 3 multiples of 6 in the range from 0 to 20, not inclusive (6, 12, 18) - overlap of the above two sets;\nTotal multiples of 2 or 6 in the range from 0 to 20, not inclusive is 9+6-3=12;\nTotal integers in the range from 0 to 20, not inclusive is 19;\nHence, there are total of 19-12=7 numbers which have no common factor with 6 other than 1: 1, 5, 7, 11, 13, 17 and 19.\nAnswer: A.", "role": "assistant", "uuid": "d8b0a5fe-e945-4853-9d2b-172f6b9d3fb0" } ]

{ "coherence": 2.64, "complexity": 1.01, "correctness": 1.76, "helpfulness": 1.92, "instruction-following": 2.33, "safety": 5.05, "verbosity": 1.09, "verbosity-coeff": -0.1709 }

[ { "content": "Dividing by 3⁄8 and then multiplying by 5⁄8 is the same as dividing by what number?\n\n['A)31⁄5', 'B)16⁄5', 'C)20⁄9', 'D)9⁄20', 'E)5⁄3']", "role": "user", "uuid": "cfd0479b-eb15-4075-954d-9962c33b427a" }, { "content": "say X/3/8*5/8 = x*8/3*5/8 = x*5/3\nE", "role": "assistant", "uuid": "de1cab96-2e5a-4d84-bd9d-59f163e5dda6" } ]

{ "coherence": 2.23, "complexity": 2.1, "correctness": 1.36, "helpfulness": 1.36, "instruction-following": 1.38, "safety": 4.42, "verbosity": 0.61, "verbosity-coeff": -0.1172 }

[ { "content": "Sonika deposited Rs.14500 which amounted to Rs.12200 after 3 years at simple interest. Had the interest been 3% more. She would get how much?\n\n['A)13505', 'B)12004', 'C)15003', 'D)14500', 'E)16400']", "role": "user", "uuid": "e821f325-2e4c-4d6f-b7f7-c50af5331455" }, { "content": "(14500*3*3)/100 = 1305\n12200\n--------\n13505\nAnswer: A", "role": "assistant", "uuid": "c13d861b-1d6a-4a86-8fbf-caeceae03ba1" } ]

{ "coherence": 2.84, "complexity": 0.91, "correctness": 2.04, "helpfulness": 2.23, "instruction-following": 2.88, "safety": 5.44, "verbosity": 0.33, "verbosity-coeff": -0.121 }

[ { "content": "If f(x) = 12 - x^2/2 and f(2k) = 3k, what is one possible value for k?\n\n['A)2', 'B)3', 'C)4', 'D)6', 'E)8']", "role": "user", "uuid": "d0430f83-1ae4-4073-9d9e-3af29b46ca5a" }, { "content": "First of all, see thisGMAT blog postand check the related lesson linked below for some background on function notation.\nWe can plug anything in for x and get a result. You can find f(1), for example, by plugging in 1 where x is, and you would get 12 - 1/2 = 11.5. Or we could find f(2), which would be 12 - 4/2 = 10.\nSo the notation f(2k) means that we are going to plug a 2k in for x everywhere in the formula for f(x). That would be:\nf(2k) = 12 - (2k)^2/2 = 12 - 2k^2.\nRemember that we have to square both the 2 and the k, to get 4k2. Now, this expression, the output, we will set equal to 2k.\n12 - 2k^2 = 2k --> k = -4 or k = 3.\nAll the answers are positive, so we choose k = 3.\nAnswer = B", "role": "assistant", "uuid": "ee455e77-a490-44bf-8f98-9dc39c758765" } ]

{ "coherence": 2.51, "complexity": 1.67, "correctness": 1.82, "helpfulness": 1.88, "instruction-following": 2.55, "safety": 5.4, "verbosity": 1.38, "verbosity-coeff": -0.2135 }

[ { "content": "10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games, 0 for picnic & games, 2 for all, how many are students are there in all?\n\n['A)30', 'B)31', 'C)32', 'D)33', 'E)34']", "role": "user", "uuid": "115838bf-b362-43ed-a163-0a7789417f82" }, { "content": "n(A U B U C)=n(A) + n(B) + n(C) - n(A INTERSECTION B) - n(A INTERSECTION C) - n(C INTERSECTION B) + n(A INTERSECTION B - INTERSECTION C)\nHence,\nTotal no. of Students = 10 + 20 + 5 - 4 - 0 - 2 + 2\n= 31.\nANSWER:B", "role": "assistant", "uuid": "461ef401-86c1-4829-8b50-45de78348450" } ]

{ "coherence": 2.74, "complexity": 1.97, "correctness": 1.66, "helpfulness": 2.1, "instruction-following": 2.94, "safety": 5.95, "verbosity": 1.89, "verbosity-coeff": -0.1263 }

[ { "content": "The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross-section is 630 square meters, what is the depth of the channel (in meters)?\n\n['A)50', 'B)60', 'C)70', 'D)80', 'E)90']", "role": "user", "uuid": "cb88b2d6-cadb-4406-925d-8720f4e3882c" }, { "content": "1/2 * d * (12 + 6) = 630\nd = 70\nThe answer is C.", "role": "assistant", "uuid": "68ba6afb-98cb-4e31-a2bf-f372be77a215" } ]

{ "coherence": 3.13, "complexity": 1.03, "correctness": 1.74, "helpfulness": 2.06, "instruction-following": 3.02, "safety": 5.67, "verbosity": 0.34, "verbosity-coeff": -0.1482 }

[ { "content": "A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different colors c patterns can be floor be parqueted?\n\n['A) 104', 'B) 213', 'C) 3^5', 'D) 705', 'E) 726']", "role": "user", "uuid": "cfe4d9c2-96e6-44d0-bd1b-49ad82f113be" }, { "content": "Total number of squares we need to fill = 6\nNumber of colors we have = 3\nTherefore, total number of patterns c= 3*3*3*3*3*3 = 729\nHowever, this is considering that we can have a case in which all tiles are the same color. Since we are given that the quantity of each tile is 5 and the number of tiles required is 6, we know that this case cannot be possible. Therefore we must subtract the cases in which all tiles will be of the same color (3 cases since there are 3 colors).\nThus our answer should be :729 - 3 = 726\nAnswer : E", "role": "assistant", "uuid": "fe54e4a4-2124-4285-8242-8eae5bb34055" } ]

{ "coherence": 2.55, "complexity": 1.79, "correctness": 2.04, "helpfulness": 2.14, "instruction-following": 3.15, "safety": 5.4, "verbosity": 1.4, "verbosity-coeff": -0.2055 }

[ { "content": "The simple interest on a sum of money will be Rs.400 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?\n\n['A)2261', 'B)2888', 'C)1200', 'D)800', 'E)2771']", "role": "user", "uuid": "9fc4a347-c620-4559-b823-e4e070d619a5" }, { "content": "P --- 10 ---- 400\nP --- 5 ----- 200\n3P --- 5 ----- 600\n------\n=> 800\nAnswer: D", "role": "assistant", "uuid": "1e743d26-fc60-4935-b143-a3e5ad5a3fd3" } ]

{ "coherence": 2.86, "complexity": 1.05, "correctness": 2.23, "helpfulness": 2.53, "instruction-following": 2.94, "safety": 6.3, "verbosity": 0.39, "verbosity-coeff": -0.119 }

[ { "content": "A jar contains only three types of objects: red, blue, and silver paper clips. The probability of selecting a red paper clip is 1/20, and the probability of selecting a blue paper clip is 1/10. What is the probability of selecting a silver paper clip?\n\n['A) 5/12', 'B) 1/20', 'C) 17/20', 'D) 3/4', 'E) 11/20']", "role": "user", "uuid": "737bf80d-2813-4a58-8b94-cbd0876af16c" }, { "content": "Prob of Red = 1/20\nProb of Blue = 1/10\nProb of Silver = ?\nP(Silver) = 1 - P(Red) - P(Blue) ==> 1-1/20-1/10 = 7/12\nAns: C", "role": "assistant", "uuid": "82a4b3a0-a906-481c-bc2a-9834e00ed18c" } ]

{ "coherence": 2.29, "complexity": 1.22, "correctness": 1.42, "helpfulness": 1.76, "instruction-following": 2.04, "safety": 5.83, "verbosity": 0.72, "verbosity-coeff": -0.1485 }

[ { "content": "In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 70, the dividend is:\n\n['A)A)5322', 'B)B)5330', 'C)C)12320', 'D)D)53400', 'E)E)53420']", "role": "user", "uuid": "095f1c24-82b2-466e-a346-4de6f1c32169" }, { "content": "Divisor = (5 * 70) = 350\n= 10 * Quotient = Divisor\n=> Quotient = 350/10 = 35\nDividend = (Divisor * Quotient) + Remainder\nDividend = (350 * 35) + 70 = 12320.\nC", "role": "assistant", "uuid": "7c3f369f-d22b-4e4e-8e18-2ce6cd6f747d" } ]

{ "coherence": 2.96, "complexity": 1.97, "correctness": 2.23, "helpfulness": 2.21, "instruction-following": 2.57, "safety": 3.68, "verbosity": 0.92, "verbosity-coeff": -0.1199 }

[ { "content": "The sum of first n odd numbers (i.e., 1 + 3 + 5 + 7 + ...+ 2n – 1) is divisible by 11111 then the value of n is\n\n['A)12345', 'B)11111', \"C)can't be determined\", 'D)None of these', 'E)22222']", "role": "user", "uuid": "8d3d927f-2593-4508-b05c-da54b6fde122" }, { "content": "Solution\nGo through option Sn = 1 + 3 + 5 + 7 +...+ 22221\nS11111 = (11111)2\nHence it is divisible by 11111.\nThus Answer B", "role": "assistant", "uuid": "d9b8a2d3-1b99-4212-96de-bf1b4c388b0e" } ]

{ "coherence": 2.49, "complexity": 2, "correctness": 2.18, "helpfulness": 2.21, "instruction-following": 2.35, "safety": 4.7, "verbosity": 1.36, "verbosity-coeff": -0.1163 }

[ { "content": "A certain company had a total annual expenditure of 2.1∗10^7 on employee salaries last year. If the company employed 420 people, what was the average employee salary?\n\n['A)$20,000', 'B)$25,000', 'C)$35,000', 'D)$40,000', 'E)$50,000']", "role": "user", "uuid": "54af8b1f-ff6b-4845-8344-75830ed9fded" }, { "content": "Given: Total annual expenditure of 2.1∗10^7 on employee salaries\nTotal employees = 420\nObserve that 420*5 = 2100\nTherefore try to bring the numerator in terms of 2100\nAverage salary = (2100*10^4) /420 = 5*10^4 = 50,000\nOption E", "role": "assistant", "uuid": "4df840f6-62de-44c6-a6e6-791302e5276a" } ]

{ "coherence": 2.76, "complexity": 1.4, "correctness": 2.68, "helpfulness": 2.51, "instruction-following": 3.13, "safety": 3.72, "verbosity": 1.1, "verbosity-coeff": -0.1873 }

[ { "content": "If x is 20 percent greater than 98, then x =\n\n['A)68', 'B)70.4', 'C)86', 'D)105.6', 'E)117.6']", "role": "user", "uuid": "e4e5fc99-34e4-450f-a8f3-4923a3563531" }, { "content": "x=98*1.2=117.6\nSo the answer is E.", "role": "assistant", "uuid": "a724f9ff-d89b-49e1-9c76-e23b43635d69" } ]

{ "coherence": 3.11, "complexity": 1.2, "correctness": 2.29, "helpfulness": 2.53, "instruction-following": 3, "safety": 4.29, "verbosity": 0.71, "verbosity-coeff": -0.1035 }

[ { "content": "In one day, Juan sends Keith three times as many messages as he sends Laurence, and Laurence sends Missy 5 times as many messages as he receives from Juan. If Missy received 25 messages from Laurence, how many messages does Keith receive from Juan?\n\n['A)3', 'B)12', 'C)15', 'D)18', 'E)56']", "role": "user", "uuid": "809908c7-11c4-476c-8f49-569aabb65a7e" }, { "content": "Juan --> Laurence = x messages;\nJuan --> Keith = 3x messages (Juan sends Keith three times as many messages as he sends Laurence);\nLaurence --> Missy = 5x =25 (Laurence sends Missy 5 times as many messages as he receives from Juan).\n5x =25 --> x = 5 --> 3x = 15.\nAnswer: C.", "role": "assistant", "uuid": "eeb0625a-224b-4ebc-8cd5-71f22f30a64a" } ]

{ "coherence": 3.21, "complexity": 1.3, "correctness": 2.86, "helpfulness": 3.21, "instruction-following": 3.64, "safety": 5.71, "verbosity": 0.7, "verbosity-coeff": -0.1649 }

[ { "content": "A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\n\n['A)2 kmph.', 'B)4 kmph.', 'C)5 kmph.', 'D)8 kmph.', 'E)7 kmph.']", "role": "user", "uuid": "f93c403e-ea1e-4105-ab46-08a697236540" }, { "content": "Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (34 - 18)/2 = 8 kmph\nAnswer: D", "role": "assistant", "uuid": "f3878488-c3f2-4994-b3df-f47ae4329f83" } ]

{ "coherence": 3.21, "complexity": 1.74, "correctness": 2.64, "helpfulness": 2.88, "instruction-following": 3.86, "safety": 4.85, "verbosity": 0.43, "verbosity-coeff": -0.1392 }

[ { "content": "If a, b, c, d, e and f are integers and (ab + cdef) < 0, then what is the maximum number W of integers that can be negative?\n\n['A)2', 'B)3', 'C)4', 'D)5', 'E)6']", "role": "user", "uuid": "b75e8306-78e6-4012-8801-c8cdcf245707" }, { "content": "Minimuum should be 1\nMaximum should be 4:\n1 out of a or b to make the multiplication negative\n3 out of c, d, e or f to make the multiplication negative.\nNegative+Negative<0\nAnswer:C\nmaximum will be 5..\nyou dont require both the multiplicatin to be negative for entire equation to be negative...\nany one a or b can be negative to make ab negative and it can still be more(away from 0) than the multiplication of 4 other -ve numbers...\nactually by writing minimum required as 1 out of 6,you are actually meaning 5 out of 6 also possible as you will see W=5 or 1 will give you same equation..\nans D", "role": "assistant", "uuid": "526f304e-78ed-4d75-9828-214c59a68c45" } ]

{ "coherence": 2.1, "complexity": 1.7, "correctness": 1.4, "helpfulness": 1.51, "instruction-following": 1.67, "safety": 5.28, "verbosity": 1.89, "verbosity-coeff": -0.1794 }

[ { "content": "A and B invests Rs.2000 and Rs.4000 in a business. After 8 months, A withdraws half of his capital and B withdraws three-fourth of his capital. In what ratio should they share the profits at the end of the year?\n\n['A)8:9', 'B)5:9', 'C)7:9', 'D)4:9', 'E)3:7']", "role": "user", "uuid": "af552a59-245e-44d1-8a4e-5cc68fcb325a" }, { "content": "A : B\n(2000*8)+(1000*4) : (4000*8)+(1000*4)\n20000 : 36000\n5 : 9\nAnswer: B", "role": "assistant", "uuid": "8fdf42e1-4ae7-4ec6-96b6-8d1ee559cdf4" } ]

{ "coherence": 2.78, "complexity": 1.34, "correctness": 2.33, "helpfulness": 2.43, "instruction-following": 3.43, "safety": 5.32, "verbosity": 0.95, "verbosity-coeff": -0.1675 }

[ { "content": "A and B finish the job in 15 days.while A,B and C can finish it in 3 days . C alone will finish the job in\n\n['A)4.75 days', 'B)3.75 days', 'C)6.50 days', 'D)7.50 days', 'E)5.50 days']", "role": "user", "uuid": "a722f6c0-fcdf-4a48-a22b-33fced6c771f" }, { "content": "Explanation:\n3 = (15 * x)/(15 + x)\n45+3x=15x\n12x=45\nX=3.75\nAnswer: Option B", "role": "assistant", "uuid": "a5935a81-f8e1-4dcf-bee5-d6886bbb0714" } ]

{ "coherence": 2.62, "complexity": 1.47, "correctness": 2.37, "helpfulness": 2.49, "instruction-following": 2.35, "safety": 4.89, "verbosity": 0.2, "verbosity-coeff": -0.1125 }

[ { "content": "A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?\n\n['A)6', 'B)7', 'C)5', 'D)4', 'E)1']", "role": "user", "uuid": "732d2c2e-0d28-462e-8da7-77137ab5b45b" }, { "content": "4/10 + 9/x = 1 => x = 15\n1/10 + 1/15 = 1/6 => 6 days\nAnswer:A", "role": "assistant", "uuid": "bf4ee213-1d42-4552-af03-202779dca4aa" } ]

{ "coherence": 2.45, "complexity": 1.22, "correctness": 1.86, "helpfulness": 1.97, "instruction-following": 2.61, "safety": 5.98, "verbosity": 0.68, "verbosity-coeff": -0.1312 }

[ { "content": "A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?\n\n['A)18:11', 'B)18:16', 'C)18:10', 'D)18:14', 'E)14:11']", "role": "user", "uuid": "125d37b8-3ff6-4e44-bccb-0498e8f19269" }, { "content": "A invests Rs.8000 for 18 months, but B invests Rs.8000 for the first 4 months and then withdraws Rs.4000. So, the investment of B for remaining 14 months is Rs.4000 only.\nA : B\n8000*18 : (8000*4) + (4000*14)\n14400 : 88000\nA:B = 18:11\nAnswer: A", "role": "assistant", "uuid": "f3b880e5-4ed1-4482-9824-b015c25a8a30" } ]

{ "coherence": 2.9, "complexity": 1.33, "correctness": 2.16, "helpfulness": 2.47, "instruction-following": 3.15, "safety": 5.2, "verbosity": 1.14, "verbosity-coeff": -0.1188 }

[ { "content": "A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?\n\n['A)74', 'B)58', 'C)12', 'D)52', 'E)64']", "role": "user", "uuid": "34ca745a-2e65-4ee6-9bdd-c9916509e23b" }, { "content": "We may have ( 1 black and 2 non black) or (2 black and 1 non black)or(3 black)\n=3c1 x 6c2 + 3c2 x 6c1 +3c3\n=64\nANS: E", "role": "assistant", "uuid": "675a139c-597c-4d94-8438-9b0abf15cbf3" } ]

{ "coherence": 2.74, "complexity": 1.44, "correctness": 2.18, "helpfulness": 2.23, "instruction-following": 3.13, "safety": 5.48, "verbosity": 0.98, "verbosity-coeff": -0.209 }

[ { "content": "A project has three test cases. Three teams are formed to study the three different test cases. James is assigned to all three teams. Except for James, each researcher is assigned to exactly one team. If each team has exactly 7 members, then what is the exact number of researchers required?\n\n['A)23', 'B)20', 'C)21', 'D)22', 'E)19']", "role": "user", "uuid": "4ad75169-8873-4fde-96ee-f3f6e6fc3b9c" }, { "content": "alternatively, we have\n7*3-2( because james is included in all the three teams)\n=19\nE", "role": "assistant", "uuid": "8c677a50-0c56-4dc6-9428-c5448142b999" } ]

{ "coherence": 2.76, "complexity": 1.58, "correctness": 2.02, "helpfulness": 2.08, "instruction-following": 2.59, "safety": 5.01, "verbosity": 0.52, "verbosity-coeff": -0.1263 }

[ { "content": "Walking at 3/4 of his usual place, a man reaches his office 20 minute late. Find his usual time?\n\n['A)2 hr', 'B)1 hr', 'C)3 hr', 'D)1.5 hr', 'E)2.5 hr']", "role": "user", "uuid": "3f8f9188-f215-4332-af8e-7791f0f59273" }, { "content": "Let the original speed be S and time be T\nIf new speed=S×3/4, then new time would be T×4/3(D = ST = Constant).\nGiven,\n3T/4−T=20T/3\n⇒ T=60 minutes\n= 1 hour\nAnswer :A", "role": "assistant", "uuid": "277cfd8f-8ac8-4eff-b237-15c7ee9bfa06" } ]

{ "coherence": 2.49, "complexity": 2.29, "correctness": 1.83, "helpfulness": 2.14, "instruction-following": 2.29, "safety": 5.83, "verbosity": 1.65, "verbosity-coeff": -0.1291 }

[ { "content": "In Chess game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\n\n['A)1/3', 'B)4/9', 'C)5/9', 'D)2/3', 'E)3/4']", "role": "user", "uuid": "4cb68d35-d72b-43c8-89c7-69a60129aa4a" }, { "content": "In Chess game,Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\nP(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9.\nAnswer: C.", "role": "assistant", "uuid": "9995fc3e-7f81-470b-97ed-d07ea49a2dc0" } ]

{ "coherence": 2.86, "complexity": 1.2, "correctness": 2.27, "helpfulness": 2.33, "instruction-following": 2.88, "safety": 4.66, "verbosity": 1.01, "verbosity-coeff": -0.1585 }

[ { "content": "Two trains travel in the same direction at the speeds of 56km/hr. and 29km/hr. respectively. The faster train passes a man in the slower trains in 10 seconds. The length of the faster train (in metres) is\n\n['A)100', 'B)80', 'C)75 m', 'D)120', 'E)130']", "role": "user", "uuid": "9d9c0cdc-4248-49de-bb83-d66f95f8df8d" }, { "content": "Explanation:\nThe relative speed is 56-29 Km/hr =(27/18) X 5= 7.5 m/s2718×5=7.5m/s\nThe faster train travels only the length of it’s own = 7.5 x 10 = 75 m\nAnswer C", "role": "assistant", "uuid": "ac9d46eb-5134-4c37-a6d0-160b403f66cd" } ]

{ "coherence": 2.49, "complexity": 1.51, "correctness": 2.41, "helpfulness": 2.51, "instruction-following": 3.54, "safety": 4.05, "verbosity": 0.72, "verbosity-coeff": -0.1197 }

[ { "content": "A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?\n\n['A)1/5', 'B)2/5', 'C)3/5', 'D)4/5', 'E)None of them']", "role": "user", "uuid": "6190a111-96f4-47b5-ba74-eb47433a1a31" }, { "content": "Suppose the vessel initially contains 8 litres of liquid.\nLet x litres of this liquid be replaced with water.\nQuantity of water in new mixture = (3 -(3x/8)+ x)litres\nQuantity of syrup in new mixture = (5 - 5x/8) litres\nTherefore, (3 - (3x/8)\t+ x)\t= 5 -\t5x/8)\n= 5x + 24 = 40 - 5x\n= 10x = 16\n= x = 8/5\nSo, part of the mixture replaced = (8/5 x 1/8)= 1/5\nAnswer is A.", "role": "assistant", "uuid": "3097a6da-f33e-45af-b899-f4be078b3a81" } ]

{ "coherence": 2.94, "complexity": 2.29, "correctness": 2.33, "helpfulness": 2.33, "instruction-following": 2.96, "safety": 5.09, "verbosity": 1.96, "verbosity-coeff": -0.1646 }

[ { "content": "The sum of five numbers is 655. The average of the first two numbers is 85 and the third number is 125. Find the average of the two numbers?\n\n['A)180', 'B)288', 'C)276', 'D)288', 'E)212']", "role": "user", "uuid": "95cb5de7-f5db-4bdc-a265-4ef9ca7443be" }, { "content": "Let the five numbers be P, Q, R, S and T.\n=> P + Q + R + S + T = 655.\n(P + Q)/2 = 85 and R = 125\nP + Q = 170 and R = 125\nP + Q + R = 295\nS + T = 655 - (P + Q + R) = 360\nAverage of the last two numbers = (S + T)/2 = 180.\nAnswer: A", "role": "assistant", "uuid": "b24ac8a6-ddbc-4d09-9ff3-3bd6d8f72d31" } ]

{ "coherence": 3.02, "complexity": 1.57, "correctness": 2.61, "helpfulness": 2.78, "instruction-following": 3.29, "safety": 5.36, "verbosity": 1.13, "verbosity-coeff": -0.1179 }

[ { "content": "The sides of a cube measures 6.5cm. If the surface area of the cube is the same as a ball, what is the radius of the ball? Round to the nearest whole number.\n\n['A)9', 'B)7', 'C)4', 'D)8', 'E)6']", "role": "user", "uuid": "da6fbdd5-5f7b-4504-a473-b5091fc8bb25" }, { "content": "First calculate the surface area of the cube. The cube is made of 6 squares with the sides measuring 6.5cm each. The surface area of 1 side of the cube is 42.25cm. Multiply the surface area of the 1 side by 6 will give you the cube's total surface area. The cubes surface area is 253.5cm. Now we know that the surface area of the ball is 253.5cm. To find out the surface area of a sphere you need to square the radius, then multiply by Pi, and multiply by the number 4. Going backwards to find the radius - you will need to dived the surface area by 4. Then divide by Pi. Then determine the square root of the answer. The radius is 4.460. Rounding to the nearest whole number the radius is 4. The correct answer is (C).", "role": "assistant", "uuid": "02ec4358-448e-4657-a3cd-c1aee219f69b" } ]

{ "coherence": 2.47, "complexity": 1.12, "correctness": 1.7, "helpfulness": 1.88, "instruction-following": 1.93, "safety": 4.21, "verbosity": 1.2, "verbosity-coeff": -0.1113 }

[ { "content": "According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 6 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?\n\n['A)25', 'B)34', 'C)50', 'D)67', 'E)100']", "role": "user", "uuid": "483d0428-18bd-44dc-91a1-4c63575b9a35" }, { "content": "Orange juice concentrate: water::1:3\ntotal quantity of orange juice = 200*6 = 1200 oz\nso Orange juice concentrate: water :: 300 oz:900 oz\nno. of 6 oz can = 300 oz/6 oz = 50\nAnswer C, 50 cans", "role": "assistant", "uuid": "82699da2-efe0-4f99-ab2b-41ee61acb561" } ]

{ "coherence": 2.92, "complexity": 1.53, "correctness": 2.41, "helpfulness": 2.53, "instruction-following": 2.53, "safety": 6.18, "verbosity": 0.93, "verbosity-coeff": -0.1608 }

[ { "content": "Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 35% profit was earned which was equal to 98,000. What was the amount invested by R?\n\n['A)2,10,000', 'B)1,05,000', 'C)1,75,000', 'D)Data inadequate', 'E)60,000']", "role": "user", "uuid": "19c65c71-4ece-4e4b-98ff-76b2b6cd46f6" }, { "content": "Ratio for amount invested by P, Q & R\n= 5x × 12 : 6x × 12 : 6x × 6\n= 60x : 72x : 36x\n= 5x : 6x : 3x\nProfit = 98000 = 35% of T\nwhere, T = Total amount\nT = 280000\nAmount received by\nR = 3x /3x+6x+5x(280000)\n= 60000\nAnswer E", "role": "assistant", "uuid": "dbef7042-0065-4aa8-b9c9-5cfbeabcd869" } ]

{ "coherence": 2.61, "complexity": 1.56, "correctness": 2.31, "helpfulness": 2.55, "instruction-following": 3.25, "safety": 5.91, "verbosity": 1.35, "verbosity-coeff": -0.1122 }

[ { "content": "Two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. In what time will they be completely clear of each other from the moment they meet?\n\n['A)7.18', 'B)7.12', 'C)7.21', 'D)7.34', 'E)7.51']", "role": "user", "uuid": "dd683d1a-2386-4e34-a8ca-406393f6bbcc" }, { "content": "T = (131 + 165)/ (80 + 65) * 18/5\nT = 7.34\nAnswer:D", "role": "assistant", "uuid": "1d8b7c99-cb4c-4483-8aa8-7666f7ed7646" } ]

{ "coherence": 2.64, "complexity": 1.26, "correctness": 2, "helpfulness": 2.18, "instruction-following": 3.09, "safety": 5.05, "verbosity": 1.06, "verbosity-coeff": -0.1157 }

[ { "content": "Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?\n\n['A)60/17 hr', 'B)22/7 hr', 'C)52/11 hr', 'D)6 hr', 'E)63/19 hr']", "role": "user", "uuid": "ccf83d3d-cfc5-4214-9b5b-fcf128760bea" }, { "content": "Net part filled in 1 hour = 1/4 + 1/6 - 1/8= 7/22\nThe tank will be full in 22/7 hr\nAnswer is B", "role": "assistant", "uuid": "d2a60fae-6b0e-4168-8cb9-30e981babfdf" } ]

{ "coherence": 2.76, "complexity": 1.17, "correctness": 2.04, "helpfulness": 2.21, "instruction-following": 3, "safety": 5.75, "verbosity": 0.4, "verbosity-coeff": -0.1216 }

[ { "content": "A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?\n\n['A)14020', 'B)11289', 'C)68928', 'D)14000', 'E)16881']", "role": "user", "uuid": "42068887-9dd2-4360-a070-bd1589f777c2" }, { "content": "25*12: 30*12: 35*8\n15:18:14\n14/47 * 47000\n= 14000\nAnswer: D", "role": "assistant", "uuid": "5efe4bf5-f4cf-437b-a021-3bda47969798" } ]

{ "coherence": 2.96, "complexity": 0.94, "correctness": 2.7, "helpfulness": 2.78, "instruction-following": 3.52, "safety": 5.71, "verbosity": 0.56, "verbosity-coeff": -0.126 }

[ { "content": "John can complete a given task in 16 days. Jane will take only 12 days to complete the same task. John and Jane set out to complete the task by beginning to work together. However, Jane was indisposed 5 days before the work got over. In how many days did the work get over from the time John and Jane started to work on it together?\n\n['A)62', 'B)64', 'C)66/7', 'D)10', 'E)68/7']", "role": "user", "uuid": "4080dc53-704e-4b00-a7ba-6f4bf26e83df" }, { "content": "In such questions, you need to start from the end. Last 5 days John works alone and completes 5 * (1/16) = 5/16 of the work.\nSo 11/16 of the work should have been completed by the two of them together before Jane left.\nTheir combined rate of work is 1/16 + 1/12 = 7/48\nTime taken to complete 11/16 of the work = (11/16)/(7/48) = 33/7 days.\nSo total number of days taken to complete the work =33/7 + 5 = 68/7 days.\nE", "role": "assistant", "uuid": "b4c0230d-076d-4fbf-9e97-ac14ef821d6e" } ]

{ "coherence": 2.66, "complexity": 1.48, "correctness": 2.06, "helpfulness": 2.14, "instruction-following": 3.07, "safety": 4.48, "verbosity": 1.17, "verbosity-coeff": -0.1311 }

[ { "content": "Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?\n\n['A)1200', 'B)3000', 'C)1000', 'D)3600', 'E)2400']", "role": "user", "uuid": "46cb7b53-826d-4246-a193-17f1709a6540" }, { "content": "Let the additional invested amount for 8% interest be x;\nEquation will be;\n2400+0.05*2400+x+0.08x = 2400+x+0.06(2400+x)\n0.05*2400+0.08x = 0.06x+0.06*2400\n0.02x = 2400(0.06-0.05)\nx = 2400*0.01/0.02 = 1200\nAns: \"A\"", "role": "assistant", "uuid": "56519ade-7562-455b-8f3c-de6309a311e4" } ]

{ "coherence": 2.98, "complexity": 1.82, "correctness": 2.9, "helpfulness": 2.96, "instruction-following": 3.17, "safety": 3.5, "verbosity": 1.34, "verbosity-coeff": -0.1975 }

[ { "content": "A train running at the speed of 50 km/hr crosses a pole in 9 sec. What is the length of the train?\n\n['A)125 m', 'B)150 m', 'C)187 m', 'D)167 m', 'E)197 m']", "role": "user", "uuid": "3b725034-e23d-4a8a-b25b-43f3401c62da" }, { "content": "Speed = 50 * 5/18 = 125/9 m/sec\nLength of the train = speed * time = 125/9 * 9\n= 125 m\nAnswer: A", "role": "assistant", "uuid": "8e4ae118-1e99-4266-a0c4-b28758031f17" } ]

{ "coherence": 3.11, "complexity": 1.12, "correctness": 2.68, "helpfulness": 2.84, "instruction-following": 4.13, "safety": 4.66, "verbosity": 0.96, "verbosity-coeff": -0.111 }

[ { "content": "What is the are of an equilateral triangle of side 8 cm?\n\n['A)11√3', 'B)12√3', 'C)16√3', 'D)15√3', 'E)18√3']", "role": "user", "uuid": "12c2aae2-c229-4fcc-b2c4-8941dc8a9e72" }, { "content": "Area of an equilateral triangle = √3/4 S2\nIf S = 8, Area of triangle = √3/4 * 8 * 8\n= 16√3 cm2;\nAnswer:C", "role": "assistant", "uuid": "20090e7f-8652-4a61-9229-c519f95cf9b1" } ]

{ "coherence": 2.84, "complexity": 1.06, "correctness": 2.1, "helpfulness": 2.37, "instruction-following": 3.86, "safety": 6.02, "verbosity": 0.38, "verbosity-coeff": -0.0808 }

[ { "content": "A, B, C, D, E, F, G, and H are all integers, listed in order of increasing size. When these numbers are arranged on a number line, the distance between any two consecutive numbers is constant. If G and H are equal to 5^12 and 5^16, respectively, what is the value of A?\n\n['A)-24(5^12)', 'B)-27(5^12)', 'C)-24(5^6)', 'D)23(5^12)', 'E)24(5^12)']", "role": "user", "uuid": "4b096501-0299-4e20-b86c-7006a19d31b5" }, { "content": "Ans : B\nAssume that the numbers appear as shown below on the number line\nA-----B-----C-----D-----E-----F-----G-----H\n(5^12) (5^13)\nAs the values for G and H are given , we can calculate the difference between any two terms of the series .\nCommon Difference ,d = (5^13) - (5^12)\n= (5^12) *[ 5-1 ]\n= (5^12)*(4)\nAlso F + d = G as the terms are in equidistant and in increasing order.\nSo F + (5^12)*(4) = (5^12).\nThat is , F = (5^12) - (5^12)*(4)\n= (5^12)[ 1-4]\n= (5^12) (-3)\nSimilarly , E = F - d\n= (5^12)[-3-4]\n= (5^12)*(-7)\nYou can see a -4 getting added to the non-exponent part of the values . That is , according to the pattern , D SHOULD BE (5^12)*(-7-4)= (5^12)*(-11)\nFollowing this pattern , A = (5^12)*(-27)\nB", "role": "assistant", "uuid": "22b22cd3-32b0-4bab-9ef9-b15ddc65e6d2" } ]

{ "coherence": 2.14, "complexity": 1.93, "correctness": 1.85, "helpfulness": 1.78, "instruction-following": 1.86, "safety": 4.13, "verbosity": 1.61, "verbosity-coeff": -0.1089 }

[ { "content": "If 4a = 16b and 5b = 13c, Find a:b:c?\n\n['A)52:13:5', 'B)13:7:52', 'C)7:13:52', 'D)7:13:54', 'E)None of these']", "role": "user", "uuid": "6576dc37-61ea-454e-b33c-2e596c8f7f74" }, { "content": "Explanation:\n(4a = 16b ==> a/b = 16/4)\nand (5b = 13c ==> b/c = 13/5)\n==> a:b = 16:4 and b:c = 13:5\na:b:c =52:13:5\nAnswer: Option A", "role": "assistant", "uuid": "cad52f18-bfef-4719-a727-8ebe5b68700e" } ]

{ "coherence": 2.98, "complexity": 1.89, "correctness": 2.74, "helpfulness": 2.74, "instruction-following": 2.9, "safety": 5.05, "verbosity": 1.26, "verbosity-coeff": -0.0972 }

[ { "content": "man is 28 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:\n\n['A)14years', 'B)26 years', 'C)17 years', 'D)18 years', 'E)22 years']", "role": "user", "uuid": "5568b637-f8bd-4cea-8ffb-33a6268021dd" }, { "content": "Let the son's present age be x years. Then, man's present age = (x + 20) years.\n(x + 28) + 2 = 2(x + 2)\nx + 30 = 2x + 4\nx = 26.\nanswer :B", "role": "assistant", "uuid": "4ed7bd24-3c13-4c29-a15f-d436f38a3ffb" } ]

{ "coherence": 2.43, "complexity": 0.8, "correctness": 1.5, "helpfulness": 1.73, "instruction-following": 2.47, "safety": 4.77, "verbosity": 0.26, "verbosity-coeff": -0.1247 }

[ { "content": "In a meeting of 4 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?\n\n['A)250', 'B)260', 'C)240', 'D)270', 'E)280']", "role": "user", "uuid": "0918992f-e070-4574-a3ea-d7fb917aed31" }, { "content": "In fact, all 24 people will shake hands with 20 others.\nSo, it SEEMS like the TOTAL number of handshakes = (24)(20)\nHOWEVER, we need to keep in mind that we have counted each handshake TWICE.\nTo account for this DUPLICATION, we must divide (24)(20) by 2.\nSo, the TOTAL # of handshakes = (24)(20)/2 = 240\nAnswer : C", "role": "assistant", "uuid": "cfcb5117-532b-41b5-9124-74f97c760942" } ]

{ "coherence": 3.09, "complexity": 1.46, "correctness": 2.7, "helpfulness": 2.84, "instruction-following": 3.17, "safety": 5.55, "verbosity": 1.46, "verbosity-coeff": -0.2247 }

[ { "content": "A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?\n\n['A)1.7', 'B)1.9', 'C)3', 'D)1.5', 'E)1.2']", "role": "user", "uuid": "c6ef76d5-94cc-43da-8384-a1b300bad88c" }, { "content": "M = 9\nS = x\nDS = 9 + x\nUS = 9 - x\n9 + x = (9 - x)2\n9 + x = 18 -2x\n3x = 9\nx = 3\nAnswer:C", "role": "assistant", "uuid": "8a028850-bcd4-4038-8a49-08acd62d6a5f" } ]

{ "coherence": 2.82, "complexity": 1.21, "correctness": 2.51, "helpfulness": 2.45, "instruction-following": 3.29, "safety": 4.66, "verbosity": 0.7, "verbosity-coeff": -0.122 }

[ { "content": "Of 600 surveyed students, 20% of those who read book A also read book B and 25% of those who read book B also read book A. If each student read at least one of the books, what is the difference between the number of students who read only book A and the number of students who read only book B?\n\n['A)20', 'B)25', 'C)30', 'D)35', 'E)75']", "role": "user", "uuid": "c21d0a6a-fe92-431e-a477-e80516aa26d2" }, { "content": "Say the number of students who read book A is A and the number of students who read book B is B.\nGiven that 20% of those who read book A also read book B and 25% of those who read book B also read book A, so the number of students who read both books is 0.2A=0.25B --> A=1.25B.\nSince each student read at least one of the books then {total}={A}+{B}-{Both} --> 600=1.25B+B-0.25B --> B=300, A=1.25B= 375 and {Both}=0.25B=75.\nThe number of students who read only book A is {A}-{Both}=375-75=300;\nThe number of students who read only book B is {B}-{Both}=300-75=225;\nThe difference is 300-225=75.\nAnswer: E.", "role": "assistant", "uuid": "e2f01ed2-e28d-4df1-b7ce-709a84d87c40" } ]

{ "coherence": 3.27, "complexity": 1.36, "correctness": 2.88, "helpfulness": 2.8, "instruction-following": 3.45, "safety": 4.23, "verbosity": 1.06, "verbosity-coeff": -0.2098 }

[ { "content": "Two circular signs are to be painted. If the radius of the larger sign is three times that of the smaller sign, how many times more paint is needed to paint the larger sign? (We can assume that a given amount of paint covers the same area on both signs.)\n\n['A)3', 'B)9', 'C)12', 'D)15', 'E)18']", "role": "user", "uuid": "adfb3ae8-b781-480d-aa12-ab37730af942" }, { "content": "Let R be the radius of the smaller sign.\nThe area A of the smaller sign is A = piR^2.\nThe area of the larger sign is pi(3R)^2=9piR^2=9A.\nSince the area is 9 times larger, we need 9 times more paint for the larger sign.\nThe answer is B.", "role": "assistant", "uuid": "6a883d4c-7a18-4ed2-8ad1-c775d7ba701b" } ]

{ "coherence": 3.43, "complexity": 1.65, "correctness": 3.07, "helpfulness": 3.23, "instruction-following": 3.97, "safety": 5.67, "verbosity": 1.23, "verbosity-coeff": -0.2383 }

[ { "content": "How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?\n\n['A)54 sec', 'B)65 sec', 'C)25 sec', 'D)22 sec', 'E)24 sec']", "role": "user", "uuid": "3a15211e-3b55-4f7f-85e3-5f0bddd3da83" }, { "content": "D = 100 + 120 = 220\nS = 36 * 5/18 = 10 mps\nT = 220/10 = 22 sec\nAnswer:D", "role": "assistant", "uuid": "a0b035f7-953c-41bd-afed-79fbc3257007" } ]

{ "coherence": 2.96, "complexity": 1.71, "correctness": 2.72, "helpfulness": 2.78, "instruction-following": 3.72, "safety": 4.85, "verbosity": 1.08, "verbosity-coeff": -0.1206 }

[ { "content": "Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?\n\n['A)$5500', 'B)$11000', 'C)$22000', 'D)$2750', 'E)$44000']", "role": "user", "uuid": "8198b57b-3501-49e0-bcf5-2dfc1cdc54ab" }, { "content": "Explanatory Answer\nShawn received an extra amount of ($605 - $550) $55 on his compound interest paying bond as the interest that he received in the first year also earned interest in the second year.\nThe extra interest earned on the compound interest bond = $ 55\nThe interest for the first year = $550/2 = $ 275\nTherefore, the rate of interest = (55/275)*100 = 20% p.a.\n20% interest means that Shawn received 20% of the amount he invested in the bonds as interest\nIf 20% of his investment in one of the bonds = $275, then his total investment in each of the bonds = (275/20)*100 = $ 1375\nAs he invested equal sums in both the bonds, his total savings before investing = 2*1375 = $ 2750.\ncorrect choice is (D)", "role": "assistant", "uuid": "2e688f33-0b3c-4647-821b-246aa3cee91f" } ]

{ "coherence": 3.11, "complexity": 1.19, "correctness": 2.7, "helpfulness": 2.8, "instruction-following": 3.29, "safety": 3.8, "verbosity": 1.04, "verbosity-coeff": -0.2058 }

[ { "content": "Find large number from below question The difference of two numbers is 1000. On dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder\n\n['A)1234', 'B)1110', 'C)1456', 'D)1200', 'E)1600']", "role": "user", "uuid": "0e8481a4-4826-4eff-99b8-a7ba70ba5e65" }, { "content": "Let the smaller number be x. Then larger number = (x + 1365).\nx + 1000 = 10x + 10\n9x = 990\nx = 110\nLarge number = 110+1000=1110\nB", "role": "assistant", "uuid": "6a3a9371-9912-45a4-8365-9ff0f42c77dd" } ]

{ "coherence": 2.49, "complexity": 1.98, "correctness": 1.88, "helpfulness": 1.89, "instruction-following": 2.41, "safety": 4.32, "verbosity": 1.12, "verbosity-coeff": -0.1149 }

[ { "content": "he total marks obtained by a student in Physics, Chemistry and Mathematics is 170 more than the marks obtained by him in Physics. What is the average mark obtained by him in Chemistry and Mathematics?\n\n['A)55', 'B)65', 'C)75', 'D)85', 'E)95']", "role": "user", "uuid": "1fc777bb-40aa-4142-9cbc-05ddb47d1502" }, { "content": "Let the marks obtained by the student in Physics, Chemistry and Mathematics be P, C and M respectively.\nP + C + M = 170 + P\nC + M = 170\nAverage mark obtained by the student in Chemistry and Mathematics = (C + M)/2 = 170/2 = 85.\nANSWER:D", "role": "assistant", "uuid": "d5e48d92-4526-4645-b26b-c882787b469a" } ]

{ "coherence": 2.98, "complexity": 2.08, "correctness": 2.84, "helpfulness": 3.07, "instruction-following": 3.46, "safety": 4.89, "verbosity": 1.88, "verbosity-coeff": -0.1239 }

[ { "content": "Suppose you want to buy three loaves of bread that cost $0.75 each\nand a jar of peanut butter that costs $7. A jar of jelly is $2.75, but you\ndon’t need any jelly. You have $17. How much money will you have left\nover?\n\n['A)$7.75', 'B)$7.50', 'C)$3.50', 'D)$4.50', 'E)$5.50']", "role": "user", "uuid": "6a91bb84-0405-4f29-aae0-e600eedaf3ec" }, { "content": "The jelly is extra information. 17.00 – 3 x 0.75 – 7.00 =\n17.00 – 2.25 – 7.00 = 7.75.\nYou have $7.75 left.\ncorrect answer A", "role": "assistant", "uuid": "35b18ead-6ece-4627-9adf-24f416bf8bd9" } ]

{ "coherence": 2.53, "complexity": 0.61, "correctness": 2.41, "helpfulness": 2.41, "instruction-following": 3.54, "safety": 3.25, "verbosity": 1.16, "verbosity-coeff": -0.1028 }

[ { "content": "The parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?\n\n['A)22.51', 'B)22.0', 'C)22.15', 'D)22.17', 'E)22.63']", "role": "user", "uuid": "842eee93-4626-431f-abb9-5a2716fb6b40" }, { "content": "Let the side of the square be a cm.\nParameter of the rectangle = 2(18 + 10) = 56 cm Parameter of the square = 56 cm\ni.e. 4a = 56\na = 14\nDiameter of the semicircle = 15 cm\nCircimference of the semicircle\n= 1/2(∏)(14)\n= 1/2(22/7)(14) = 308/14 = 22 cm to two decimal places\nAnswer: B", "role": "assistant", "uuid": "f77156ab-bec1-4c1d-831e-f6276c1a852f" } ]

{ "coherence": 2.39, "complexity": 1.39, "correctness": 1.78, "helpfulness": 2.02, "instruction-following": 2.84, "safety": 5.01, "verbosity": 1.3, "verbosity-coeff": -0.1069 }

[ { "content": "A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the president?\n\n['A) 1/720', 'B) 1/5', 'C) 1/10', 'D) 1/9', 'E) 1/6']", "role": "user", "uuid": "9df59069-b853-4c48-8ed7-d834758bf55c" }, { "content": "This question is much easier than it appears.\nEach member out of 10, including Harry, has equal chances to be selected for any of the positions (the sequence of the selection is given just to confuse us). The probability that Harry will be selected to be the secretary is 1/10 and the probability that Harry will be selected to be the president is also 1/10. So, the probability that Harry will be selected to be either the secretary or the the president is 1/10+1/10=2/10.\nAnswer: B", "role": "assistant", "uuid": "4350e298-5516-4bf5-84e0-9995adea5cdc" } ]

{ "coherence": 2.78, "complexity": 1, "correctness": 2.23, "helpfulness": 2.14, "instruction-following": 1.83, "safety": 4.93, "verbosity": 1.38, "verbosity-coeff": -0.2057 }

[ { "content": "While working alone at their respective constant rates, server M uploads 480 files in 4 hours and server Y uploads 480 files in 8 hours. If all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?\n\n['A) 2 hr', 'B) 2hr 20 min', 'C) 2hr 40 min', 'D) 5 hr 40 min', 'E) 6hr']", "role": "user", "uuid": "1cff1fb6-1713-4fe3-9047-ca6909b2dbcd" }, { "content": "Server M processes 480/4 files per hour = 120 per hour\nServer Y processes 180/8 files per hour = 60 per hour\nTotal files processed per hour when M and Y work together = 120+60 per hour = 180 files per hour\n480/180 = 2 2/3 hours=C", "role": "assistant", "uuid": "61cade96-85c7-46f8-96d6-c50b43de9df9" } ]

{ "coherence": 2.45, "complexity": 1.35, "correctness": 2.1, "helpfulness": 1.96, "instruction-following": 2.45, "safety": 5.79, "verbosity": 0.96, "verbosity-coeff": -0.1213 }

[ { "content": "5 and 20 are the first two terms in a geometric sequence. What is the arithmetic difference between the 10th term and the 12th term?\n\n['A)3*5^2', 'B)5* 3^13 - 5 * 3^11', 'C)75*4^10', 'D)40 * 3^10', 'E)3^12 - 3^10']", "role": "user", "uuid": "8d3ac720-c93e-46d3-8a5d-3d341c63def9" }, { "content": "Common ratio = 20/5 =4\n12th term = 5*4^12\n10th term = 5*4^10\n5 * (4^12 - 4^10) = 5 * 4^10*(4^2 - 1)\n= 5 * 4^10 * 15\n= 75 * 4^10....\nC", "role": "assistant", "uuid": "6d54b1fc-115f-467f-97f6-4ed65e322e23" } ]

{ "coherence": 3.02, "complexity": 2.76, "correctness": 2.27, "helpfulness": 2.29, "instruction-following": 2.64, "safety": 4.58, "verbosity": 1.3, "verbosity-coeff": -0.2132 }

[ { "content": "Two trains travelling in the same direction at 70 and 35 kmph completely pass off another in 144 sec. If the length of the first train is 185 m, what is the length of the second train?\n\n['A)1387 m', 'B)1400 m', 'C)1215 m', 'D)1512 m', 'E)185 m']", "role": "user", "uuid": "9007beae-c716-4b6b-aebf-016945ee1a63" }, { "content": "RS =70 – 35 = 35* 5/18 mps\nT = 144 sec\nD =35*5/18 * 144= 1400 m\n185\n--------\n1215 m\nAnswer: C", "role": "assistant", "uuid": "4d72770c-a4fa-4bb1-976e-acbe9948f625" } ]

{ "coherence": 2.25, "complexity": 1.15, "correctness": 1.47, "helpfulness": 1.64, "instruction-following": 3.13, "safety": 5.63, "verbosity": 0.62, "verbosity-coeff": -0.1181 }

[ { "content": "Country X imported approximately $1.44 billion of goods in 1996. If Country X imported $360 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would Country Xs 1997 imports exceed those of 1996?\n\n['A) $24 million', 'B) $120 million', 'C) $644 million', 'D) $540 million', 'E) $720 million']", "role": "user", "uuid": "b656b61b-5dc3-47e9-a6fa-fbe8a5bb7dd6" }, { "content": "Convert units to millions as answer is in millions\n1996 Imports = $1.44 bill = $1440 mill\ni.e. 1440/12 = $120 mill/month\n1997 Imports = $360 mill/2 month\ni.e. $180 mill/month\nDifference/month = 180-120 = 60\nDifference/year = $60 mill * 12 = $720 mill\nANSWER: E", "role": "assistant", "uuid": "b5362ff9-8a7a-4f76-818a-9f50c2904875" } ]

{ "coherence": 2.62, "complexity": 1.39, "correctness": 2.41, "helpfulness": 2.62, "instruction-following": 2.72, "safety": 3.19, "verbosity": 1.34, "verbosity-coeff": -0.1683 }

[ { "content": "Two numbers are respectively 17% and 30% more than a third number. The percentage that is first of the second is?\n\n['A)75%', 'B)80%', 'C)85%', 'D)70%', 'E)90%']", "role": "user", "uuid": "291314c5-38bb-4f34-9bd8-63e9141de8fb" }, { "content": "I II III\n117 130 100\n130----------117\n100-----------? => 90%\nAnswer:E", "role": "assistant", "uuid": "e540e440-43ae-4186-9871-a164fd3f26d9" } ]

{ "coherence": 2.74, "complexity": 1.42, "correctness": 2, "helpfulness": 2, "instruction-following": 2.39, "safety": 6.45, "verbosity": 0.39, "verbosity-coeff": -0.1252 }

[ { "content": "Can you find the missing number in the sequence given below?\n11 14 17 12 15 ? 13 16 19 14 17 20\n\n['A)20', 'B)21', 'C)18', 'D)23', 'E)24']", "role": "user", "uuid": "100e9883-763a-46b0-bd1b-f22112312877" }, { "content": "Solution:\n18\nExplanation :\nThe sequence is given in the puzzle is :\n11 14 17 12 15 ? 13 16 19 14 17 20\nLet's break the given series as below:\n11 14 17\n12 15 ?\n13 16 19\n14 17 20\nNow read the number from left hand side from top to bottom as :\nSo the number that will replace '?' is 18.\nAnswer C", "role": "assistant", "uuid": "c99acd0b-5838-4ef0-b7cc-f87c0d1fafa3" } ]

{ "coherence": 2.51, "complexity": 1.66, "correctness": 2.18, "helpfulness": 2.23, "instruction-following": 2.8, "safety": 3.41, "verbosity": 1.34, "verbosity-coeff": -0.1015 }

[ { "content": "In a games hour 4 different types of players came to the ground? cricket 11, hokey 15, football 21, softball 15. How many players are present in the ground?\n\n['A)70', 'B)52', 'C)62', 'D)49', 'E)50']", "role": "user", "uuid": "9520d554-f572-4d76-bcfe-1fd412554310" }, { "content": "total number of players= 11+15+21+15= 62\nAnswer is C", "role": "assistant", "uuid": "6d63ff1f-a803-4611-bada-4fa3a380e96a" } ]

{ "coherence": 3.11, "complexity": 1.25, "correctness": 3.02, "helpfulness": 3.05, "instruction-following": 3.5, "safety": 6.3, "verbosity": 1.24, "verbosity-coeff": -0.0682 }

[ { "content": "The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:\n\n['A)9400', 'B)9600', 'C)9800', 'D)9000', 'E)9200']", "role": "user", "uuid": "732c212b-1285-4167-b991-ef8647c4e724" }, { "content": "Greatest number of 4-digits is 9999.\nL.C.M. of 15, 25, 40 and 75 is 600.\nOn dividing 9999 by 600, the remainder is 399.\nRequired number (9999 - 399) = 9600.\nanswer :B", "role": "assistant", "uuid": "31066c64-caf5-43d7-9a10-c33720a21a73" } ]

{ "coherence": 2.78, "complexity": 2.1, "correctness": 2.59, "helpfulness": 2.74, "instruction-following": 3.52, "safety": 5.52, "verbosity": 1.59, "verbosity-coeff": -0.1712 }

[ { "content": "Divide Rs. 2379 into 3 parts so that their amounts after 2, 3 and 4 years respectively may be equal, the rate of interest being 5% per annum at simple interest. The first part is?\n\n['A)227', 'B)299', 'C)266', 'D)828', 'E)291']", "role": "user", "uuid": "9f85c8ec-3708-4382-907a-10d4445f0384" }, { "content": "Let the parts be x, y and [2379 - (x + y)]\nx + (x * 2 * 5/100) = y + (y * 3 * 5/100) = z + (z * 4 * 5/100)\n11x/10 = 23y/20 = 6z/5 = k\nx = 10k/11, y = 20k/23, z = 5k/6\nBut x + y + z = 2379\n10k/11 + 20k/23 + 5k/6 = 2379\nk = (2379 * 11 * 23 * 6)/3965 = (3 * 11 * 23 * 6)/5\nx = [10/11 * (3 * 11 * 23 * 6)/5] = 828\nHence, the first part is Rs. 828.\nAnswer: D", "role": "assistant", "uuid": "8f22cc11-659c-413e-aa6e-43dc083abf92" } ]

{ "coherence": 2.7, "complexity": 1.52, "correctness": 1.64, "helpfulness": 2, "instruction-following": 2.9, "safety": 5.16, "verbosity": 1.14, "verbosity-coeff": -0.1177 }

[ { "content": "If x is the product of three consecutive positive integers, which of the following must be true?\nI. x is an integer multiple of 3.\nII. x is an integer multiple of 6\nIII. x is an integer multiple of 4\n\n['A)a) I only', 'B)b) II only', 'C)c) I and II only', 'D)d) I and III only', 'E)e) I,II and III']", "role": "user", "uuid": "a23a29dd-deef-4b7c-a162-4fb5d1dca7a4" }, { "content": "The answer should be D i.e. X will be an integer and multiple of 3 and 6.\nLet us take example n, n+1, n+2 as 3 three consecutive positive integers.\nIn a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12\nHence in a product of 3 consecutive integers, the product is always divisible by 3.\nNow, in a consecutive sequence every alternate is an even number, and when an even number is multiplied by 3 we will have 6 as one of the multiple also.\nNow for a number to be a multiple of 4 we need at least 2 2's. this is only possible if the first number of three consecutive positive integers is an even number so that 3 is also even and we have 2 2's. But incase the sequence starts with odd we will have one 2 hence, the divisibility by 4 depends on the first number to be even\nAnswerC", "role": "assistant", "uuid": "22aaac0c-2921-4997-b097-2a088526cef6" } ]

{ "coherence": 2.16, "complexity": 2.12, "correctness": 1.35, "helpfulness": 1.38, "instruction-following": 1.64, "safety": 5.05, "verbosity": 1.56, "verbosity-coeff": -0.2287 }

[ { "content": "A bag contains 6 red, 4 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?\n\n['A)1/13', 'B)2/23', 'C)5/26', 'D)5/22', 'E)3/23']", "role": "user", "uuid": "81c20ff8-8d67-4dd2-9299-9b32e4b0caa2" }, { "content": "P(Both are red),\n=6C212C2=6C212C2\n=15/66=5/22\nD", "role": "assistant", "uuid": "f5aaa674-e3b8-47ce-a014-e353a21ee380" } ]

{ "coherence": 2.88, "complexity": 1.11, "correctness": 2.2, "helpfulness": 2.21, "instruction-following": 2.7, "safety": 5.05, "verbosity": 1.18, "verbosity-coeff": -0.1529 }

[ { "content": "In a sports club with 80 members, 48 play badminton and 46 play tennis and 7 do not play either. How many members play both badminton and tennis?\n\n['A)23', 'B)21', 'C)20', 'D)26', 'E)27']", "role": "user", "uuid": "17ed47fe-4179-498e-8633-f139d26e5bf6" }, { "content": "48+46=94\nbut where as total number is 80-7=73\ntherefore answer is 94-73=21\nHence Answer is B", "role": "assistant", "uuid": "e397b33a-ac1a-46a5-9736-19128b82fc0c" } ]

{ "coherence": 2.86, "complexity": 1.1, "correctness": 2.1, "helpfulness": 2.25, "instruction-following": 2.53, "safety": 6.8, "verbosity": 1.04, "verbosity-coeff": -0.1727 }

[ { "content": "Of the science books in a certain supply room, 50 are on botany, 55 are on zoology, 90 are on physics, 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same area science?\n\n['A)81', 'B)159', 'C)166', 'D)285', 'E)314']", "role": "user", "uuid": "de4d1319-09aa-4385-be5b-73b30b044183" }, { "content": "The worst case scenario is to remove all the books on botany, zoology, and geology.\nAlso we can remove 79 books each from physics and chemistry.\nThe total is 50 + 55 + 50 + 79 + 79 = 313.\nThe next book removed must either be physics or chemistry, ensuring 80 books in that subject.\nThe answer is E.", "role": "assistant", "uuid": "7712bce0-749c-435c-a3b9-213858dce1af" } ]

{ "coherence": 3.09, "complexity": 1.58, "correctness": 2.31, "helpfulness": 2.51, "instruction-following": 2.45, "safety": 4.7, "verbosity": 1.38, "verbosity-coeff": -0.23 }

[ { "content": "A man sells a car to his friend at 10% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :\n\n['A)Rs.25000', 'B)Rs.37500', 'C)Rs.50000', 'D)Rs.60000', 'E)None of these']", "role": "user", "uuid": "fc132ff6-ddca-4d17-acaf-09941bf5f97a" }, { "content": "Explanation:\nS.P = Rs.54,000. Gain earned = 20%\nC.P = Rs.[100/120×54000]\n=Rs. 45000\nThis is the price the first person sold to the second at at loss of 10%.\nNow S.P = Rs.45000 and loss = 10%\nC.P. Rs.[10090×45000]= Rs.50000.\nCorrect Option : C", "role": "assistant", "uuid": "c8e713f3-a1e3-4350-83a2-8e29d0ef868d" } ]

{ "coherence": 2.96, "complexity": 1.49, "correctness": 2.27, "helpfulness": 2.61, "instruction-following": 3.64, "safety": 5.09, "verbosity": 1.23, "verbosity-coeff": -0.121 }

[ { "content": "A motor pool has 300 vehicles of which 40 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?\n\n['A)45%', 'B)90%', 'C)65%', 'D)55%', 'E)10%']", "role": "user", "uuid": "b876c5ca-e619-425c-bfd3-277df8a30e08" }, { "content": "Trucks = 40% of 300 = 120\nOther Vehicles (Excluding Trucks) = 300-120 = 180\nDiesel Vehicle = 20% of 300 = 60 (Including 15 Trucks)\nOther Diesel Vehicles (Excluding Trucks) = 60-15 = 45\nTrucks that are NOT diesel = 120 - 15 = 105\nOther Vehicles that are NOT diesel Vehicles = 180-45 = 135\nRequired % = (135/300)*100 = 45%\nAnswer: option A", "role": "assistant", "uuid": "5d62f845-e5ef-4ba3-9856-3e9f2a29b649" } ]

{ "coherence": 3.39, "complexity": 1.6, "correctness": 3.19, "helpfulness": 3.23, "instruction-following": 3.29, "safety": 5.24, "verbosity": 1.37, "verbosity-coeff": -0.2026 }

[ { "content": "A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number?\ng(12) + 5; g(12) + 6; g(12) + 7; and g(12) + 8?\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)none']", "role": "user", "uuid": "53b2632a-e7ed-449b-afa0-a7bf77e18c70" }, { "content": "g(12) is the product of all integers from 1 to 12, so g(12) = 12!\nThus g(12) is a multiple of all the integers from 1 to 12.\nThen g(12) is a multiple of 7, 8, 9, and 10.\n7 divides g(12)+7\n8 divides g(12)+8\n9 divides g(12)+9\n10 divides g(12)+10\nThe answer is E.", "role": "assistant", "uuid": "68599c5f-dcfe-479c-9843-ea2e7a1b708f" } ]

{ "coherence": 2.8, "complexity": 1.94, "correctness": 2, "helpfulness": 2.04, "instruction-following": 1.96, "safety": 5.24, "verbosity": 1.47, "verbosity-coeff": -0.1526 }

[ { "content": "8^100 is divisible by 17. Find the remainder for this?\n\n['A)10', 'B)12', 'C)16', 'D)17', 'E)19']", "role": "user", "uuid": "d3962f5d-3d60-407a-bb56-d2d6c18dafed" }, { "content": "This is an extremely difficult problem to solve with out Fermat's little theorem. By applying Fermat's little theorem , We know that 816 when divided by 17, the remainder is 1.\nSo divide 100 by 16 and find the remainder. Remainder = 4\nTherefore, 100 = (16 × 6) + 4\nNow this problem can be written as 810017 = 816×6+417 = (816)6×8417\nNow this problem simply boils down to (1)6×8417 = 8417\n84 = 82×82, we need to find the remainder when 64 × 64 is divisible by 17. Or 13 × 13 = 169. When 169 is divided by 17, remainder is 16.\nC", "role": "assistant", "uuid": "96397613-3fe8-42a1-9bdd-b9412d4720b0" } ]

{ "coherence": 2.47, "complexity": 2.16, "correctness": 1.71, "helpfulness": 1.49, "instruction-following": 1.63, "safety": 3.46, "verbosity": 1.75, "verbosity-coeff": -0.1178 }

[ { "content": "How many prime numbers are between 25/8 and 213/6?\n\n['A)6', 'B)7', 'C)8', 'D)9', 'E)10']", "role": "user", "uuid": "9adbbd92-9ed4-4162-a98c-2f39a2e7d63f" }, { "content": "25/8 = 4-\n213/6 = 36-\nPrime numbers between 4 and 36 are 5, 7, 11, 13, 17, 19, 23, 29, and 31\n- sign signifies that the number is marginally less .\nAnswer D", "role": "assistant", "uuid": "8ed5e3a8-3440-4d81-9f0c-a66bf7a6ee44" } ]

{ "coherence": 2.49, "complexity": 0.92, "correctness": 1.82, "helpfulness": 1.82, "instruction-following": 2.41, "safety": 6.49, "verbosity": 1.04, "verbosity-coeff": -0.2143 }

[ { "content": "A furniture dealer purchased a desk for $120 and then set the selling price equal to the purchase price plus a markup that was 40% of the selling price. If the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?\n\n['A)70', 'B)66.67', 'C)65', 'D)75', 'E)80']", "role": "user", "uuid": "33f1e478-1831-40cd-9b86-17f1b19dc5ac" }, { "content": "Anyway, in this question, there is no discount but the mark up is given as 40% of the selling price. So it is not 40% of $150 but instead, 40% of Selling price which is obtained by adding mark up to $120.\nSo if selling price is S,\n120 + 40% of S = S\nS = 200\nProfit = 80 which is calculated on cost price in % terms. So 80/120 * 100 = 66.67% is profit.\nB", "role": "assistant", "uuid": "55bb5b89-ef1c-4c4d-a972-8a4b0f13b3b3" } ]

{ "coherence": 2.74, "complexity": 1.74, "correctness": 2.23, "helpfulness": 2.27, "instruction-following": 2.31, "safety": 4.5, "verbosity": 1.44, "verbosity-coeff": -0.2071 }

[ { "content": "What is the value of x^2yz − xyz^2, if x = − 2, y = 1, and z = 1?\n\n['A) 6', 'B) 24', 'C) 30', 'D) 32', 'E) 48']", "role": "user", "uuid": "010279d2-2fb5-44f0-9835-1da94f5ba28a" }, { "content": "4*1*1 -(- 2*1*1)\n=4+2 = 6\nAns: A", "role": "assistant", "uuid": "e3f3162a-772a-4a6b-83bb-5d2f120b02a1" } ]

{ "coherence": 3.09, "complexity": 0.96, "correctness": 2.64, "helpfulness": 2.78, "instruction-following": 3.13, "safety": 4.54, "verbosity": -0.03, "verbosity-coeff": -0.1388 }

[ { "content": "A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1215. Find the number to be multiplied.\n\n['A)130', 'B)132', 'C)135', 'D)136', 'E)138']", "role": "user", "uuid": "f515e039-7152-4449-a2a1-e4e67b82001e" }, { "content": "Let the required number be x. Then,\n43x – 34x = 1215 or 9x = 1215 or x = 135.\nRequired number = 135\nANSWER:C", "role": "assistant", "uuid": "3340c17c-e61f-42c2-90e3-d0ef0d700e94" } ]

{ "coherence": 3.19, "complexity": 2.49, "correctness": 2.8, "helpfulness": 2.86, "instruction-following": 4.25, "safety": 4.09, "verbosity": 1.74, "verbosity-coeff": -0.1261 }

[ { "content": "A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are working, the plane will stay in the air. Over the course of a typical flight, there is a 1/3 chance that engine one will fail. There is a 79% probability that engine two will work. The third engine works only half the time. What is the probability that the plane will crash in any given flight?\n\n['A) 7/12', 'B) 1/4', 'C) 1/2', 'D) 7/24', 'E) 17/24']", "role": "user", "uuid": "df6dd8d4-2ccc-4d81-8f71-70e97d900589" }, { "content": "In probability questions the trap answer is just the multiple of the numbers in the question.\ni.e. if you multiply 1/3 * 1/4 * 1/2 = 1/24 is trap answer\nThe other trap answer could be 2/3 * 3/4 * 1/2 = 6/24 is trap answer\nSo lets say you have30 secsand you want to guess the answer then B, C are ruled out because they can be traps. You best guess is A, D, E. So you have 33% chances of being correct.\nA", "role": "assistant", "uuid": "4c760849-7dc9-477f-948c-b6e7fb1a9a64" } ]

{ "coherence": 2.29, "complexity": 1.45, "correctness": 1.7, "helpfulness": 1.42, "instruction-following": 1.44, "safety": 4.62, "verbosity": 1.28, "verbosity-coeff": -0.1295 }

[ { "content": "3*14 + 3*15 + 3*18 + 11 = ?\n\n['A)125', 'B)126', 'C)130', 'D)148', 'E)152']", "role": "user", "uuid": "d3701047-8e0b-4ee9-b12e-ff7ccf344a72" }, { "content": "3*14 + 3*15 + 3*18 + 11 = 42 + 45 + 54 + 11 = 152\nThe answer is E.", "role": "assistant", "uuid": "f504f050-07fe-4d54-83c2-f13547dc425e" } ]

{ "coherence": 3.13, "complexity": 1.2, "correctness": 2.39, "helpfulness": 2.55, "instruction-following": 3.41, "safety": 4.48, "verbosity": 0.69, "verbosity-coeff": -0.1257 }

[ { "content": "A farm has chickens, cows and sheep. There are six times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?\n\n['A)5', 'B)8', 'C)10', 'D)4', 'E)17']", "role": "user", "uuid": "79cd5402-a06d-4993-9d3f-9c15ffafc4cb" }, { "content": "Chicken - ch\nCows - C\nSheep -S\nch+C=6S\nC> ch and c>s\nEach cow has 4 legs and 1 head\nEach chicken has 2 legs and 1 head\nSo 5c+3ch=100 (sum of legs and head)\nThere are 2 possible solutions to this equation\nc=11 and ch=9 or\nc=14 and ch=10\nSince from first equation where ch+c=6s\nThe sum of ch and c should be divisbile by 6. 20 is not so the only possible solution is c=14 and ch=10. So s=4\nAnswer : D", "role": "assistant", "uuid": "326647d9-6f13-41d3-8821-23ad84cd09c9" } ]

{ "coherence": 2.49, "complexity": 1.26, "correctness": 1.74, "helpfulness": 2.04, "instruction-following": 2.59, "safety": 5.98, "verbosity": 1.28, "verbosity-coeff": -0.1262 }

[ { "content": "The result when a number subtracted from 150 is the same as the number added to 68. what is the number?\n\n['A)110', 'B)100', 'C)109', 'D)218', 'E)210']", "role": "user", "uuid": "78ef518b-e1ac-499e-90ee-81606ae78e5c" }, { "content": "Answer\nLet the number be x.\nThen, x - 68= 150- x\n⇒ 2x = 150+ 68= 218\n⇒ 2x = 218\n∴ x = 109\nCorrect Option: C", "role": "assistant", "uuid": "e8a6b0a9-7cd3-4b8f-9f49-538904b16120" } ]

{ "coherence": 2.39, "complexity": 1.48, "correctness": 1.9, "helpfulness": 2.31, "instruction-following": 3.07, "safety": 4.89, "verbosity": 1.04, "verbosity-coeff": -0.1524 }

[ { "content": "A number a is squared and then multiplied by negative 1. The result of this operation is equal to 2 times the sum of 4 times a and 8. What is one possible value of a ?\n\n['A)1', 'B)2', 'C)4', 'D)8', 'E)5']", "role": "user", "uuid": "28617615-5ec0-47d0-8266-8f1e86c5204e" }, { "content": "-1*a^2=2(4a+8)\na= -4 or -4\na=-4=B\nANSWER:C", "role": "assistant", "uuid": "f92b588f-aad5-42cb-ab82-ee63d6833f6e" } ]

{ "coherence": 2.49, "complexity": 1.42, "correctness": 1.78, "helpfulness": 1.83, "instruction-following": 2.2, "safety": 5.32, "verbosity": 0.65, "verbosity-coeff": -0.1641 }

[ { "content": "A plane flying north at 500 kmph passes over a city at 12 noon. A plane flying east at the same attitude passes over the same city at 12.30 pm. The plane is flying east at 400 kmph. To the nearest hundred km, how far apart are the two planes at 2 pm?\n\n['A)600 km', 'B)1000 km', 'C)1100 km', 'D)1200 km', 'E)1300 km']", "role": "user", "uuid": "c1b7d0c3-a364-4cdc-a405-2dbecb00c43a" }, { "content": "The plane flying north would have traveled for 2 hours at 2 PM.\nIt travels at 500 kmph.\nHence, the plane flying north would have covered 1000 kms from the city at 2 PM.\nThe plane flying east would have traveled for 1.5 hours at 2 PM.\nIt travels at 400 kmph.\nHence, the plane flying east would have covered 1.5*400 = 600 kms from the city at 2 PM.\nThe two planes are flying at right angles to each other.\nThe shortest distance between the two planes is the length of the hypotenuse of the right triangle whose legs are the distances covered by the two planes.\nHence, distance = 1000square + 200 square = 1166 km\nThe nearest 100 km distance between the two planes = 1200 kms.\nAnswer D", "role": "assistant", "uuid": "5b11c827-5428-498d-b228-254c68e3e894" } ]

{ "coherence": 2.76, "complexity": 1.26, "correctness": 2.23, "helpfulness": 2.29, "instruction-following": 2.9, "safety": 4.29, "verbosity": 1.77, "verbosity-coeff": -0.1534 }

[ { "content": "Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?\n\n['A)36', 'B)77', 'C)89', 'D)16', 'E)22']", "role": "user", "uuid": "35c05277-0759-4e1c-aa0b-91e0967d9c13" }, { "content": "(3x-9):(5x-9) = 9:17\nx = 12 => 3x = 36\nAnswer: A", "role": "assistant", "uuid": "5ed475a3-e358-4c7d-b537-205375f1417e" } ]

{ "coherence": 3.15, "complexity": 1.04, "correctness": 2.45, "helpfulness": 2.61, "instruction-following": 3.11, "safety": 5.24, "verbosity": 0.01, "verbosity-coeff": -0.1271 }

[ { "content": "The list price of an article is Rs.70. A customer pays Rs.59.22 for it. He was given two successive discounts, one of them being 10%. The other discount is?\n\n['A)8%', 'B)7%', 'C)10%', 'D)12%', 'E)6%']", "role": "user", "uuid": "d50cb847-783f-4dd7-b24d-b873647587e5" }, { "content": "Option E\nExplanation:\n70*(90/100)*((100-x)/100) = 59.22\nx = 6%", "role": "assistant", "uuid": "f31918ba-3dca-4f63-ad71-376489422c9b" } ]

{ "coherence": 3.07, "complexity": 0.9, "correctness": 2.33, "helpfulness": 2.47, "instruction-following": 2.72, "safety": 5.79, "verbosity": 0.73, "verbosity-coeff": -0.1348 }

[ { "content": "A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:2:2, respectively, but he wanted to make more money, so he shifted the ratio to 2:3:4, respectively. How many more acres of land were planted with tobacco under the new system?\n\n['A)75', 'B)150', 'C)300', 'D)450', 'E)600']", "role": "user", "uuid": "95c38ac6-8e71-4cd6-bd0f-595f839c4cc6" }, { "content": "Originally (2/9)*1350 = 300 acres were planted with tobacco.\nIn the new system (4/9)*1350 = 600 acres were planted with tobacco.\nThus 600-300 = 300 more acres were planted with tobacco.\nThe answer is C.", "role": "assistant", "uuid": "b47ab73f-c5e4-4b8c-adb4-2095b261ccff" } ]

{ "coherence": 3.31, "complexity": 1.61, "correctness": 3.02, "helpfulness": 3.29, "instruction-following": 3.93, "safety": 5.16, "verbosity": 1.12, "verbosity-coeff": -0.1775 }

[ { "content": "If xy = 5 and x^2 + y^2 = 10, then x/y + y/x =\n\n['A)2', 'B)3 1/7', 'C)5 1/3', 'D)7', 'E)60']", "role": "user", "uuid": "f2496f13-d587-4f18-b2c8-6f3470af1142" }, { "content": "We can make simplifying of question and get it in view: (x^2 + y^2) / xy and as we know the meaning of this parts:\nx^2 + y^2 = 10\nxy = 5\nwe can calculate the answer 10/5 -> 2 so answer is A", "role": "assistant", "uuid": "b1e30e03-cff2-4f3b-9b0c-1d3a1abed803" } ]

{ "coherence": 2.98, "complexity": 2.04, "correctness": 2.68, "helpfulness": 2.49, "instruction-following": 2.27, "safety": 5.24, "verbosity": 1.13, "verbosity-coeff": -0.1484 }

[ { "content": "a;b = 8: 10, b:c = 7: 9, a:b:c = ?\n\n['A)56 : 70: 80', 'B)56 : 70: 70', 'C)56 : 70: 60', 'D)56 : 70: 95', 'E)56 : 70: 90']", "role": "user", "uuid": "ae835397-3d9c-4d64-888d-053b1470b117" }, { "content": "a;b = 8: 10\nb:c = 7: 9\na:b:c =56 : 70: 90\nAnswer : E", "role": "assistant", "uuid": "aafeae25-2790-49b6-bd7e-1801c5a34578" } ]

{ "coherence": 2.78, "complexity": 1.35, "correctness": 2.12, "helpfulness": 2.2, "instruction-following": 2.78, "safety": 4.7, "verbosity": 0.54, "verbosity-coeff": -0.1232 }

[ { "content": "12KM is how many miles?\n\n['A)6 Miles', 'B)7Miles', 'C)7.5Miles', 'D)8Miles', 'E)9miles']", "role": "user", "uuid": "1ba1e047-919b-488f-a656-3dbb4793a998" }, { "content": "7.5 Miles\n12/1.6=7.5\nAnswer:C", "role": "assistant", "uuid": "ffcb563d-8862-44ac-835e-bfe106103f90" } ]

{ "coherence": 2.9, "complexity": 0.59, "correctness": 2.9, "helpfulness": 2.92, "instruction-following": 3.6, "safety": 3.93, "verbosity": 0.98, "verbosity-coeff": -0.0928 }

[ { "content": "Which of the following numbers is divisible by each one of 3, 7, 9 and 11?\n\n['A)639', 'B)2079', 'C)3791', 'D)37911', 'E)None of these']", "role": "user", "uuid": "a2400643-ea07-4623-aa45-6fb3780c82f6" }, { "content": "639 is not divisible by 7;\n2079 is divisible by each one of 3, 7, 9, 11.\nCorrect Option: B", "role": "assistant", "uuid": "b9bf4b95-261f-4780-a0cc-6c481b7bfdae" } ]

{ "coherence": 3.07, "complexity": 1.53, "correctness": 2.66, "helpfulness": 2.82, "instruction-following": 3.37, "safety": 4.62, "verbosity": 1.03, "verbosity-coeff": -0.1989 }