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[ { "content": "The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)\n\n['A)22 years', 'B)25 years', 'C)20 years', 'D)28 years', 'E)12 years']", "role": "user", "uuid": "abb579ea-5b20-4002-bf5d-43f2fca73143" }, { "content": "Present total age of the members = 26(5) = 130 years.\nPresent age of the youngest member = 10 years\nPresent total age of the remaining four members = 130 -10 = 120 years\nTheir average age at the time of the birth of the youngest member = [120 - (4 * 10)] / 4 = 30 - 10 = 20 years.\nAnswer: C", "role": "assistant", "uuid": "191bbe10-f7ed-4d1b-9e1f-fbd4ab0d7536" } ]

{ "coherence": 2.86, "complexity": 1.23, "correctness": 2.06, "helpfulness": 2.39, "instruction-following": 3.09, "safety": 6.1, "verbosity": 0.39, "verbosity-coeff": -0.1428 }

[ { "content": "For a certain article, if discount is 25%, the profit is 25%. If the discount is 10%, then the profit is\n\n['A)10%', 'B)20%', 'C)35%', 'D)50%', 'E)None of these']", "role": "user", "uuid": "9d41bc5c-c50d-4a64-b7ca-c56defe41051" }, { "content": "For same article, 100−d1/100−d2=100+g1/100+g2\n⇒ 100−25/100−10=100+25/100+g2 ⇒75/90=125/100+g2\n⇒ 100 + g2 = 90×125/75 =150 ⇒ g2 = 50%\nAnswer D", "role": "assistant", "uuid": "951a3564-6fb8-474d-9126-e18166e21a2e" } ]

{ "coherence": 2.68, "complexity": 2.16, "correctness": 2.35, "helpfulness": 2.29, "instruction-following": 3.07, "safety": 5.09, "verbosity": 1.65, "verbosity-coeff": -0.1131 }

[ { "content": "1/(√2-1)=?\n\n['A)9+4√5', 'B)9-4√5', 'C)√2+1', 'D)9-2√5', 'E)4+9√5']", "role": "user", "uuid": "3b0b2ada-5256-41a7-bd68-f5386fee64bf" }, { "content": "This question requires us to rationalize (fix) the denominator.\nFor more on this technique, seehttps://www.gmatprepnow.com/module/gmat ... video/1044\nGiven: 1/(√2-1)\nMultiply top and bottom by the CONJUGATE of √2-1, which is √2+1\nSo, 1/(√2-1) = (1)(√2+1)/(√2-1)(√2+1)\n= (√2+1)/(1)\n= √2+1\n=\nC", "role": "assistant", "uuid": "3c54d0da-1252-4f0f-b2e0-36877307fe64" } ]

{ "coherence": 3.23, "complexity": 2.68, "correctness": 2.62, "helpfulness": 2.53, "instruction-following": 3.41, "safety": 4.97, "verbosity": 1.54, "verbosity-coeff": -0.1436 }

[ { "content": "There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\n\n['A)7!*3!', 'B)7!*2!', 'C)6!*3!', 'D)5!*2!', 'E)8!*3!']", "role": "user", "uuid": "2b4dd8d5-274f-4c4e-a436-b83b0078d72b" }, { "content": "Total number of ways = 7!*2!.\nB", "role": "assistant", "uuid": "dff58af0-9f14-4c57-aae2-06b3293fda4c" } ]

{ "coherence": 2.57, "complexity": 1.2, "correctness": 1.69, "helpfulness": 1.76, "instruction-following": 1.67, "safety": 5.32, "verbosity": 0.32, "verbosity-coeff": -0.1052 }

[ { "content": "How many digits are in (8×10^10)(10×10^5)?\n\n['A)17', 'B)25', 'C)26', 'D)27', 'E)28']", "role": "user", "uuid": "20b2f537-4c1f-4604-88ce-a4cba79a0a6d" }, { "content": "The question simplfies to (8×10^10)(10^6)\n=> 8*10^16\n=> Will contain 16 zeros +1 digit 8\n=>17\nAns A", "role": "assistant", "uuid": "cfab3d2b-f02a-4308-840d-ce2ab8b57cbb" } ]

{ "coherence": 2.1, "complexity": 1.16, "correctness": 1.39, "helpfulness": 1.15, "instruction-following": 1.9, "safety": 5.98, "verbosity": 0.56, "verbosity-coeff": -0.1565 }

[ { "content": "A corporation that had $115.19 billion in profits for the year paid out $250.10 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9)\n\n['A)50%', 'B)20%', 'C)5%', 'D)2%', 'E)0.22%']", "role": "user", "uuid": "8038c7e6-fac2-4a4f-87ab-8b8fef30a987" }, { "content": "required answer = [employee benefit/profit] *100\n=[(250.10 million)/(115.19 billion)]*100\n=[(250.10*10^6)/(115.19*10^9)]*100\n=(2.2/1000)*100\n=0.22%\nSo answer is (E)", "role": "assistant", "uuid": "fc4c887e-afde-4834-9697-c88f1a5dda84" } ]

{ "coherence": 3, "complexity": 0.98, "correctness": 2.43, "helpfulness": 2.12, "instruction-following": 2.7, "safety": 4.97, "verbosity": 0.61, "verbosity-coeff": -0.1526 }

[ { "content": "A tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. The proportion of sodium chloride in the tank is 30% by volume and the capacity of the tank is 24 gallons. If the water evaporates from the tank at the rate of 0.4 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 6 hours?\n\n['A)30%', 'B)35%', 'C)40%', 'D)45%', 'E)50%']", "role": "user", "uuid": "c2b4cbf3-63f3-4437-acc5-ad0556166deb" }, { "content": "The number of gallons in the tank is (1/4)24 = 6 gallons\nThe amount of sodium chloride is 0.3(6) = 1.8 gallons\nAt the start, the amount of water is 0.7(6) = 4.2 gallons\nAfter 6 hours, the amount of water is 4.2 - 0.4(6) = 1.8 gallons\nThe concentration of water is 1.8 / (1.8+1.8) = 1.8/3.6 = 50%\nThe answer is E.", "role": "assistant", "uuid": "fea11a5a-5b62-449e-a90f-708d41295daa" } ]

{ "coherence": 3.13, "complexity": 1.59, "correctness": 2.33, "helpfulness": 2.25, "instruction-following": 2.9, "safety": 4.58, "verbosity": 0.98, "verbosity-coeff": -0.189 }

[ { "content": "Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?\n\n['A)1', 'B)4', 'C)3', 'D)8', 'E)6']", "role": "user", "uuid": "dc01b984-48b2-4721-a12c-d93ad3bdd7b2" }, { "content": "6 * 22 = 132\n7 * 19 = 133\n--------------\n1\nAnswer: A", "role": "assistant", "uuid": "ffa83a80-59af-424a-b24f-1961d3600c34" } ]

{ "coherence": 2.66, "complexity": 0.8, "correctness": 1.7, "helpfulness": 2.12, "instruction-following": 2.53, "safety": 5.63, "verbosity": 0.74, "verbosity-coeff": -0.188 }

[ { "content": "In an exam, W scored 60 percent, X scored 100 percent and Y 80 percent. The maximum score awarded in the exam is 1000. Find the average mark scored by all the three candidates?\n\n['A)700', 'B)800', 'C)900', 'D)1000', 'E)1100']", "role": "user", "uuid": "a70f1f06-81d2-4cfb-b5f9-4fdb8d507572" }, { "content": "Average mark scored by all the three boys\n= [60/100 (1000) + 100/100 (1000) + 80/100 (1000)] / 3\n= 800\nAnswer: B", "role": "assistant", "uuid": "33c38b3d-1c57-454b-b9d1-e8219a5b256e" } ]

{ "coherence": 2.92, "complexity": 1.35, "correctness": 2.64, "helpfulness": 2.88, "instruction-following": 3.91, "safety": 5.55, "verbosity": 1.23, "verbosity-coeff": -0.1211 }

[ { "content": "1+2+2^2=？\n\n['A)(2^3-1)(2^3+1)', 'B)2^6+1', 'C)2^5-1', 'D)2^5+1', 'E)2^3-1']", "role": "user", "uuid": "fad54d7a-f510-426c-af03-c2cd69c987fd" }, { "content": "From 1+2+2^2=1(2^6-1)/(2-1)=2^3-1, the correct answer is E.", "role": "assistant", "uuid": "1b8418b6-bc6b-4820-976d-e10d4448f612" } ]

{ "coherence": 2.7, "complexity": 1.48, "correctness": 1.47, "helpfulness": 1.39, "instruction-following": 1.36, "safety": 4.4, "verbosity": 0.46, "verbosity-coeff": -0.1179 }

[ { "content": "The circumferences of the wheels of a carriage are 6 3/14 dm and 8 1/18 dm. What is the least distance in which both wheels simultaneously complete an integral number of revolutions ? How often will the points of the two wheels which were lowest at the time of starting touch the ground together in 1 kilometre ?\n\n['A)47', 'B)24', 'C)45', 'D)34', 'E)56']", "role": "user", "uuid": "a9c39281-fff5-421d-af33-e6060d82eb48" }, { "content": "LCM of 6 3/14 dm and 8 1/18 dm =435/2=217 1/2 dm\nand the required no. of revolutions = 2*10000/435= 45.9\nThe required answer =45 times\nAnswer is C", "role": "assistant", "uuid": "e572297e-bbca-467c-9da5-d4061165b208" } ]

{ "coherence": 2.53, "complexity": 1.77, "correctness": 2.2, "helpfulness": 2.14, "instruction-following": 2.86, "safety": 6.18, "verbosity": 1.38, "verbosity-coeff": -0.1349 }

[ { "content": "If t>0.9, which of the following options can be the value of t?\n\n['A)0.9^2', 'B)√(0.9)', 'C)0.09', 'D)0.9', 'E)0.9^3']", "role": "user", "uuid": "73b92c8c-d93b-4d39-b7fb-fc6baae914d3" }, { "content": "Lets take a few examples\nWhen .2 is squared it gives .04\nwhen .5 is squared it gives .25\nWhen .9 is squared it gives .81\nSo raising a fraction to its power of 2 or 3 only reduces the value of the fraction\nThis is because\n.2 = 2/10\n.2^2= 4/100\n.2^3=8/1000\nSince the denominator gets an extra 0 each time u increase the power , it is going to drag the value down\nBut if you just think about the opposite case :\nThen we can see , if squaring a fraction diminish its value, then taking the square root of it will again increase its value\nthat is √(0.04) will give you back 0.2\nso √(0.04) > 0.04\nso obviously diminishing the power will appreciate the value\nSo t √(0.9) > 0.9\nHence Correct Answer is (B)", "role": "assistant", "uuid": "4127d623-6280-413b-a4f3-befb4e5392cd" } ]

{ "coherence": 2.45, "complexity": 2.1, "correctness": 2.16, "helpfulness": 1.75, "instruction-following": 1.79, "safety": 5.12, "verbosity": 1.52, "verbosity-coeff": -0.1157 }

[ { "content": "A computer wholesaler sells 7 different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?\n\n['A)5/35', 'B)3/28', 'C)1/28', 'D)1/56', 'E)1/168']", "role": "user", "uuid": "db5b8f48-4db6-43b8-ab07-81f76a5b35de" }, { "content": "Since, two of the choices are prefixed, we are free to choose 1 from the rest of the 5 avilable. so 5C1 is the numerator.\nTotal no of ways we can choose 3 from 7 is 7c3, which is the denominator.\nSo, the probability: 5c1/7c3= 5/35 ans is A.", "role": "assistant", "uuid": "10024f56-535a-4e37-bf93-094d91d17f85" } ]

{ "coherence": 3.09, "complexity": 1.51, "correctness": 2.31, "helpfulness": 2.47, "instruction-following": 2.61, "safety": 5.12, "verbosity": 1.3, "verbosity-coeff": -0.16 }

[ { "content": "The sum of squares of three numbers is 764 and sum of their products taken two at a time is 500. What is their sum?\n\n['A)48', 'B)42', 'C)52', 'D)32', 'E)33']", "role": "user", "uuid": "91a42beb-1169-43df-9ed2-90fe1fa20fc1" }, { "content": "Description :\nLet the numbers be x,y,z.\n=> x2+y2+z2=764\n=> 2(xy+yz+xz)=2*500=1000\n=> (x+y+z)2=(x2+y2+z2)+2(xy+yz+xz)=1764\n=> (x+y+z)=sqrt(1764)=42\nAnswer B", "role": "assistant", "uuid": "f1a2a6ba-6cda-41c9-a702-1b80809be5c6" } ]

{ "coherence": 2.9, "complexity": 1.42, "correctness": 2.57, "helpfulness": 2.72, "instruction-following": 3.05, "safety": 6.57, "verbosity": 1.09, "verbosity-coeff": -0.19 }

[ { "content": "The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?\n\n['A)4years', 'B)8years', 'C)10years', 'D)12years', 'E)None of these']", "role": "user", "uuid": "d7c7ed13-4f99-4c9b-9003-21a3e739ba5f" }, { "content": "Explanation:\nLet the ages of children be x, (x + 3), (x + 6), (x + 9) and (x + 12) years.\nThen, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50\n5x = 20\nx = 4.\nAge of the youngest child = x = 4 years.\nAnswer: A", "role": "assistant", "uuid": "d40b1fc4-37e9-4bfc-b1f8-da4dbdf1869e" } ]

{ "coherence": 3.15, "complexity": 1.56, "correctness": 2.64, "helpfulness": 2.88, "instruction-following": 4.44, "safety": 4.44, "verbosity": 0.95, "verbosity-coeff": -0.1184 }

[ { "content": "Mrs. Angel. invested $24,000; part at 5%, and part at 8%. The total interest on the investment was $1,680. How much did she invest at each rate?\n\n['A)x=$13,000, y =$26,000', 'B)x=$8,000, y =$16,000', 'C)x=$14,000, y =$28,000', 'D)x=$15,000, y =$30,000', 'E)x=$18,000, y =$36,000']", "role": "user", "uuid": "c724b572-c037-499d-959d-b29326431417" }, { "content": "I approached this question like a mixture problem.\nI don't like the wordingpartat 5% andpartat 8% because we have variables x and y in the answer choices and I have no idea which one is x or y.\nAnyway here's how I did it.\n0.05(x) + 0.08(y) = 0.07(x+y)\n0.01(y) = 0.02(x)\ny = 2x\nNote: 0.07(x+y) because $1,680 is 7% of 24,000\nIn which answer choice is y = 2(x)\nAnswer B", "role": "assistant", "uuid": "faee04cd-1328-46fc-a6e3-86279d072fd5" } ]

{ "coherence": 2.31, "complexity": 1.23, "correctness": 2.12, "helpfulness": 2.04, "instruction-following": 1.78, "safety": 3.6, "verbosity": 0.84, "verbosity-coeff": -0.119 }

[ { "content": "A clock is started at noon. By 10 minutes past 5, the hour hand has turned through\n\n['A)145°', 'B)150°', 'C)155°', 'D)160°', 'E)None']", "role": "user", "uuid": "045684f0-28c3-4e6d-8dd2-c347f2ba5bf5" }, { "content": "Solution\nAngle traced by hour hand in\n12 hrs\t=360°\nAngle traced by hour hand in\n5 hrs 10 min\t= 31 / 6 hrs\n=[360 / 12 x 31 / 6]\n= 155°.\nAnswer C", "role": "assistant", "uuid": "bf0f3dbb-2c3a-4b4b-b919-77eb1df8ccad" } ]

{ "coherence": 2.64, "complexity": 1.94, "correctness": 2.51, "helpfulness": 2.53, "instruction-following": 3.27, "safety": 6.1, "verbosity": 2.2, "verbosity-coeff": -0.115 }

[ { "content": "A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 8 km?\n\n['A)1', 'B)2', 'C)3', 'D)4', 'E)5']", "role": "user", "uuid": "26674c49-6c75-46e7-a5f9-b2315e52d79f" }, { "content": "The swimmer can swim against the current at a speed of 4-2 = 2 km/h.\nThe time it will take is 8/2 = 4 hours.\nThe answer is D.", "role": "assistant", "uuid": "eac02af1-fc44-42e5-86aa-3e3837720465" } ]

{ "coherence": 3.46, "complexity": 0.97, "correctness": 3.23, "helpfulness": 3.41, "instruction-following": 3.86, "safety": 4.66, "verbosity": 0.81, "verbosity-coeff": -0.1135 }

[ { "content": "If c equals the sum of the even integers from 2 to 504, inclusive, and m equals the sum of the odd integers from 1 to 297, inclusive, what is the value of c + 2m?\n\n['A)85957', 'B)108158', 'C)299376', 'D)107860', 'E)150788']", "role": "user", "uuid": "965dfafd-db2e-4644-9d2a-b8fdd3a05fb7" }, { "content": "Use following formulae for such problems:\nSum of evenly spaced integers = (# of integers)*(mean of integers)\n# of integers = [(last - first)/2] + 1\nMean of integers = (last + first)/2\nIn above problem:\n# of integers = [(504 - 2)/2] + 1= 252 and [(297-1)/2]+ 1 = 149\nMean of integers = (504 + 2)/2 = 253 and (297 + 1)/2 = 149\nSum of integers = (252*253) = 63756 and (149*149) = 22201\nThus their sum (c + 2m) = 63756 + (2 * 22201) = 108258\nANSWER:B", "role": "assistant", "uuid": "6c8f94ec-b02f-4426-82f0-c84b3bbd5ccc" } ]

{ "coherence": 2.21, "complexity": 1.58, "correctness": 1.5, "helpfulness": 1.76, "instruction-following": 2.18, "safety": 4.58, "verbosity": 1.37, "verbosity-coeff": -0.2069 }

[ { "content": "On dividing 13698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?\n\n['A)743', 'B)154', 'C)852', 'D)741', 'E)785']", "role": "user", "uuid": "5a302e0e-d7de-4fb3-ad63-3c5fbbe43ddc" }, { "content": "Divisor *quotient+remainder=dividend\ndivisor=(dividend)-(remainder)/quotient\n(13698-14)/89=154\nAnswer(B)", "role": "assistant", "uuid": "f4e55d67-d75a-4511-903e-a93b4de36751" } ]

{ "coherence": 2.57, "complexity": 1.06, "correctness": 1.66, "helpfulness": 1.97, "instruction-following": 2.49, "safety": 6.41, "verbosity": 0.72, "verbosity-coeff": -0.166 }

[ { "content": "A little boy is flying a kite. The string of the kite makes an angle of 30o with the ground. If the height of the kite is h = 24 m, find the length (in meters) of the string that the boy has used.\n\n['A)56', 'B)28', 'C)48', 'D)24', 'E)26']", "role": "user", "uuid": "504cd65e-fc45-4768-9517-b15d0443fe88" }, { "content": "Answer: C", "role": "assistant", "uuid": "1d20f8a3-c2a0-4979-a1b3-fd09ea5561b4" } ]

{ "coherence": 2.51, "complexity": 0.28, "correctness": 1.69, "helpfulness": 1.7, "instruction-following": 1.97, "safety": 5.48, "verbosity": 0.18, "verbosity-coeff": -0.1286 }

[ { "content": "Group A has 1 boys and 2 girls, group B has 3 boys and 2 girls and group C has 2 boys and 5 girls. One student is selected from each of the group. Find the probability that one girl and two boys are among the three selected?\n\n['A)3/41', 'B)152/18', 'C)29/105', 'D)219/315', 'E)202/735']", "role": "user", "uuid": "cd82d968-19d7-4942-a26f-12e0e694d24d" }, { "content": "Group A has 1 boy and 2 girls; 3\nGroup B has 3 boys and 2 girls; 5\nGroup C has 2 boys and 5 girls. 7\nSelected group should have one girl and two boys.\nGirl from A, boy from B, boy from C: 2/3*3/5*2/7 = 4/35;\nBoy from A, girl from B, boy from C: 1/3*2/5*2/7 = 4/105;\nBoy from A, boy from B, girl from C: 2/7*3/5*5/7 = 6/49.\nSum = 4/35 + 4/105 + 6/49 = 202/735.\nAnswer: E.", "role": "assistant", "uuid": "4a6dde40-e59d-4766-9f70-5eff9f61e1be" } ]

{ "coherence": 2.82, "complexity": 1.34, "correctness": 1.79, "helpfulness": 2.14, "instruction-following": 2.66, "safety": 5.12, "verbosity": 0.77, "verbosity-coeff": -0.1667 }

[ { "content": "A batsman scored 1 runs in his 18th innings and that makes his average 18. Find his average upto\nthe 17th innings?\n\n['A)19', 'B)20', 'C)21', 'D)22', 'E)23']", "role": "user", "uuid": "e079d372-4fd9-4daf-9598-69d9fc8e056f" }, { "content": "Avg = sum of the value/No. of the value\n18 = (Sum of the first 17 innings Score +1)/18\n(18*18-1)= Sum of the first 17 innings Score\nSum of the first 17 innings Score = 323\nAve upto 17 innings = 323/17=19\nANSWER:A", "role": "assistant", "uuid": "8d5e1530-894e-4ddc-9410-9d8af0cacebe" } ]

{ "coherence": 2.78, "complexity": 2.29, "correctness": 2.51, "helpfulness": 2.51, "instruction-following": 3.37, "safety": 4.97, "verbosity": 1.69, "verbosity-coeff": -0.1205 }

[ { "content": "Find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm.\n\n['A)71 cm2', 'B)121 cm2', 'C)141 cm2', 'D)171 cm2', 'E)221 cm2']", "role": "user", "uuid": "bfab72f2-3e53-428c-b5ba-dddc2111040f" }, { "content": "length = 17 cm, breadth = 13 cm\nPerimeter of rectangle = 2 (length + breadth)\n= 2 (17 + 13) cm\n= 2 × 30 cm\n= 60 cm\nWe know that the area of rectangle = length × breadth\n= (17 × 13) cm22\n= 221 cm2\nANSWER : E", "role": "assistant", "uuid": "9574b549-39b4-4246-ae3c-beece2ac027c" } ]

{ "coherence": 2.9, "complexity": 1.09, "correctness": 2.59, "helpfulness": 2.88, "instruction-following": 3.93, "safety": 4.7, "verbosity": 1.03, "verbosity-coeff": -0.103 }

[ { "content": "The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is:\n\n['A)1769', 'B)1764', 'C)1768', 'D)1762', 'E)1761']", "role": "user", "uuid": "8bbca165-5af7-48a2-8339-058155d9ebf9" }, { "content": "Let P.W. be Rs. x.\nThen, S.I. on Rs. x at 16% for 9 months = Rs. 189.\nx x 16 x\t9\tx\t1\t= 189 or x = 1575.\n12\t100\nP.W. = Rs. 1575.\nSum due = P.W. + T.D. = Rs. (1575 + 189) = Rs. 1764.\nAnswer: B", "role": "assistant", "uuid": "4754c36d-aa0b-40a1-b10b-a954c321e1c1" } ]

{ "coherence": 3.11, "complexity": 1.54, "correctness": 2.29, "helpfulness": 2.88, "instruction-following": 4.01, "safety": 4.97, "verbosity": 1.04, "verbosity-coeff": -0.1281 }

[ { "content": "X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be?\n\n['A)15 days.', 'B)12 days.', 'C)24 days.', 'D)13 days.', 'E)16 days.']", "role": "user", "uuid": "71d3d34d-cff0-477d-aec1-80d3e8671cee" }, { "content": "X and y complete in one day =1/12 part, y completes in one day=1/24 parts. Therefore X alone can do in one day =1/24part. Therefore the work can be finished by X = 24 days. Ans: C", "role": "assistant", "uuid": "0c651f8b-11c4-4ffb-a632-4798c63bfc85" } ]

{ "coherence": 2.64, "complexity": 1.33, "correctness": 1.72, "helpfulness": 1.73, "instruction-following": 2.39, "safety": 5.83, "verbosity": 0.38, "verbosity-coeff": -0.1097 }

[ { "content": "John bought 2 shares and sold them for $90 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had\n\n['A) a profit of $10', 'B) a profit of $8', 'C) a loss of $8', 'D) a loss of $20', 'E) neither a profit nor a loss']", "role": "user", "uuid": "532d52c1-493f-4459-8cf8-aa8d85f2401e" }, { "content": "$ Profit of the share sold at 20% profit =\n120-90\n20-?\n$10 profit on the sale of 1 share.\n$ Loss of the share sold at 20% loss=\n80-90\n20-?\n$30 loss on the sale of 1 share.\n10-30=Loss of $20\nAnswer: D", "role": "assistant", "uuid": "3ed85e43-e160-45ad-a99d-6443b31b17ef" } ]

{ "coherence": 2.29, "complexity": 1.87, "correctness": 1.67, "helpfulness": 1.63, "instruction-following": 2.02, "safety": 3.82, "verbosity": 1.38, "verbosity-coeff": -0.1384 }

[ { "content": "A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\n\n['A)40', 'B)87', 'C)26', 'D)21', 'E)14']", "role": "user", "uuid": "6a96c706-cac8-4cc2-9783-457306a33a8f" }, { "content": "Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec\nAnswer:A", "role": "assistant", "uuid": "bedbb129-57bb-410d-998d-bd6606d875c6" } ]

{ "coherence": 2.72, "complexity": 1.71, "correctness": 2.72, "helpfulness": 2.86, "instruction-following": 4.23, "safety": 5.63, "verbosity": 1.5, "verbosity-coeff": -0.1197 }

[ { "content": "A set consist of 2p-1 element. What is the number of subsets of this set which contain at most p-1 elements?\n\n['A)2^(2p-2)', 'B)2^(2p) - 2', 'C)2^(2p) -1', 'D)2^(2p)', 'E)2^(2p-1)']", "role": "user", "uuid": "65931867-bdcd-4ee2-997a-ad1a512c14f4" }, { "content": "I used p=3, so then we have\n5!/2!3! + 5!/4!1! + 5!/0!5!\n10 + 5 + 1 = 16\nSo our target is 16\nNow replace in answer choices\nA gives us 2^4 = 16\nHence A is the correct option\nRead carefully it says at most so keep in mind that picking a small number such as 3 will help you save time since you have to list fewer outcomes\nAvoid 2 since you will get 1 arrangement (p-1) and may be risky since 1 is a number with certain unique properties", "role": "assistant", "uuid": "08e7ec47-b3df-408d-bd75-94856be97206" } ]

{ "coherence": 2.61, "complexity": 2.45, "correctness": 2.08, "helpfulness": 1.95, "instruction-following": 1.68, "safety": 5.79, "verbosity": 1.74, "verbosity-coeff": -0.204 }

[ { "content": "What will come in place of question mark in the following equation ?\n54.(?)3 + 543 + 5.43 = 603.26\n\n['A)6', 'B)1', 'C)9', 'D)8', 'E)10']", "role": "user", "uuid": "bc9d2961-ffc8-42e8-96ec-9138f682b3da" }, { "content": "Explanation:\nLet x + 543 + 5.43 = 603.26. Then, x = 603.26 - (543 + 5.43) = 603.26 - 548.43 =54.83\nMissing digit = 8\nANSWER IS D", "role": "assistant", "uuid": "4217d4ab-f6c6-4290-9b4a-6b62515dad7e" } ]

{ "coherence": 2.64, "complexity": 1.63, "correctness": 2.08, "helpfulness": 2.25, "instruction-following": 3.11, "safety": 5.32, "verbosity": 0.99, "verbosity-coeff": -0.1195 }

[ { "content": "By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?\n\n['A)95%', 'B)25%', 'C)29%', 'D)27%', 'E)21%']", "role": "user", "uuid": "337f65e7-fcdd-4a30-bbba-db55060dd43d" }, { "content": "SP = CP + g\n150 SP = 150 CP + 30 SP\n120 SP = 150 CP\n120 --- 30 CP\n100 --- ? => 25%\nAnswer: B", "role": "assistant", "uuid": "42f0fbc8-2c3d-4674-a419-189cd5fb1c68" } ]

{ "coherence": 3, "complexity": 1.5, "correctness": 2.68, "helpfulness": 2.8, "instruction-following": 3.19, "safety": 5.36, "verbosity": 1.33, "verbosity-coeff": -0.1124 }

[ { "content": "Devon had $56.90 to spend at the toy store. She bought 4 toy cars that cost $2.50 each and a race track that cost $19.10. How much money does Devon have left to buy more toys?\n\n['A)$70', 'B)$55', 'C)$33', 'D)$27.80', 'E)$14.20']", "role": "user", "uuid": "7a3a8ee7-489a-47ba-b244-a81c21a974ce" }, { "content": "Step 1: Find the cost of the toy cars.\n4 × $2.50 = $10.00\nStep 2: Find the total cost of the toys.\n$10.00 + $19.10 = $29.10\nStep 3: Find the amount of money left.\n$56.90 – $29.10 = $27.80\nDevon has $27.80 left.\nAnswer is D.", "role": "assistant", "uuid": "8dc26d38-68f2-4ed1-b76c-c6aa8a595802" } ]

{ "coherence": 3.19, "complexity": 0.38, "correctness": 2.57, "helpfulness": 2.62, "instruction-following": 3.76, "safety": 4.36, "verbosity": 1.21, "verbosity-coeff": -0.1538 }

[ { "content": "A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. Find the distance travelled on foot.\n\n['A)26 km', 'B)32 km', 'C)30 km', 'D)28 km', 'E)None']", "role": "user", "uuid": "466d67b1-f3da-4a1e-83dd-0500b81fe6ae" }, { "content": "Total Time = 7hrs\nLet the distance travelled by foot @ 8kmph be x kms\n? distance travlled by bicycle @ 16kmph be (80-x)kms\nATQ. 7hr = x/8 + (80-x)/16\n? 7 = (2x + 80 - x)/16\n? x = 32kms\nAnswer: B.", "role": "assistant", "uuid": "25554e09-a0b1-4caa-9fb9-c689a7c68a9b" } ]

{ "coherence": 2.76, "complexity": 1.3, "correctness": 2.06, "helpfulness": 2.23, "instruction-following": 2.96, "safety": 5.44, "verbosity": 0.6, "verbosity-coeff": -0.116 }

[ { "content": "Given that a is the average (arithmetic mean) of the first five positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?\n\n['A)3:4', 'B)6:13', 'C)5:6', 'D)13:10', 'E)4:3']", "role": "user", "uuid": "4343080f-1c70-4326-98bf-32b1cedf285e" }, { "content": "The first nine positive multiples of six are {6, 12, 18, 24,30}\nThe first twelve positive multiples of six are {6, 12, 18, 24, 30,36,42, 48, 54, 60, 66, 72}\nBoth sets are evenly spaced, thus their median=mean:\na=18 and b=(36+42)/2=39 --> a/b=18/39=6/13.\nAnswer: B.", "role": "assistant", "uuid": "54fc6900-1292-4cde-a67f-b3c24cd97986" } ]

{ "coherence": 3.39, "complexity": 1.67, "correctness": 2.51, "helpfulness": 2.62, "instruction-following": 2.45, "safety": 5.28, "verbosity": 1.09, "verbosity-coeff": -0.2351 }

[ { "content": "The average of first 15 even numbers is?\n\n['A)10', 'B)11', 'C)12', 'D)16', 'E)14']", "role": "user", "uuid": "ff92c4f5-cbb5-4513-ab22-365894dfc087" }, { "content": "Sum of 15 even numbers = 15 * 16 = 240\nAverage = 240/15 = 16\nANSWER:D", "role": "assistant", "uuid": "9efea4df-9bb2-42e3-ac8a-2035e8a7bc27" } ]

{ "coherence": 2.7, "complexity": 1.58, "correctness": 2.16, "helpfulness": 2.41, "instruction-following": 2.55, "safety": 3.97, "verbosity": 0.95, "verbosity-coeff": -0.1028 }

[ { "content": "What is the remainder when the number W=14^2 * 15^8 is divided by 5?\n\n['A)0', 'B)1', 'C)2', 'D)4', 'E)5']", "role": "user", "uuid": "8089e05c-42bb-4b82-a39f-707a6c6e5f48" }, { "content": "14^2 has units digit 6\n15^8 has units digit 5\nThus W=14^2*15^8 has units digit 0 and will be divisible by 5. The remainder will be zero\nAnswer: (A)", "role": "assistant", "uuid": "3050951f-721c-40be-95e5-2de44f49aa32" } ]

{ "coherence": 3.29, "complexity": 1.79, "correctness": 2.21, "helpfulness": 2.29, "instruction-following": 1.77, "safety": 5.67, "verbosity": 0.46, "verbosity-coeff": -0.2332 }

[ { "content": "20 throws of a die produces following results\nSCORE -- NUMBER OF OCCURRENCES\n---1-------------------4\n---2-------------------3\n---3-------------------5\n---4-------------------2\n---5-------------------2\n---6-------------------4\nWhat is the probability P that one more throw to this series will increase the mean score?\n\n['A)1/6', 'B)1/3', 'C)1/2', 'D)2/3', 'E)5/6']", "role": "user", "uuid": "6e22c677-f176-4db5-ae57-9c86b35f5c95" }, { "content": "I get the mean as 67/20 --> 3.35. Thus in order to raise this mean we would need a 4,5,or 6.\nThus probability P is 1/2.C", "role": "assistant", "uuid": "b59cbf2e-d808-4cc9-b3ac-41eb32e30a98" } ]

{ "coherence": 2.55, "complexity": 1.64, "correctness": 1.68, "helpfulness": 1.6, "instruction-following": 2.21, "safety": 5.28, "verbosity": 0.97, "verbosity-coeff": -0.1263 }

[ { "content": "Find the best average of the first 10 multiples of 7....\n\n['A)30.5', 'B)38.5', 'C)40', 'D)43.5', 'E)55.5']", "role": "user", "uuid": "b600ad4d-9223-4e84-af0a-99103899cab2" }, { "content": "the exp is - 7(1+2+3+4+5+6+7+8+9+10)/10 =>\n7(10(10+1)/10*2 =>\n7(110)/10*2 = 38.5\nANSWER B", "role": "assistant", "uuid": "2f985947-8f91-483b-8f78-63d5e6ac9ad5" } ]

{ "coherence": 2.27, "complexity": 1.35, "correctness": 1.54, "helpfulness": 1.64, "instruction-following": 2.18, "safety": 4.73, "verbosity": 1.03, "verbosity-coeff": -0.1596 }

[ { "content": "397 x 397 + 104 x 104 + 2 x 400x 104 = x?\n\n['A)234341', 'B)235633', 'C)234677', 'D)315656', 'E)251501']", "role": "user", "uuid": "2cfe0965-f805-418a-b015-d95e66f53782" }, { "content": "Given Exp.\t= (397)2 + (104)2 + 2 x 397 x 104\n= (397 + 104)2\n= (501)2 = (500 + 1)2\n= (5002) + (1)2 + (3 x 500 x 1)\n= 250000 + 1 + 1500\n= 251501\nE", "role": "assistant", "uuid": "42f383d9-d72c-425f-ba2c-e1f7b2a9a4bd" } ]

{ "coherence": 2.82, "complexity": 2.12, "correctness": 2.37, "helpfulness": 2.68, "instruction-following": 3.33, "safety": 3.88, "verbosity": 1.64, "verbosity-coeff": -0.1132 }

[ { "content": "7^1+7^2+7^3+...........+7^2015 find out how many numbers present which unit place contain 3 ?\n\n['A)504', 'B)505', 'C)506', 'D)507', 'E)508']", "role": "user", "uuid": "56d63c18-4133-4836-bc0d-fbcffccccc9b" }, { "content": "7^3,7^7,7^11,7^15,7^19.........7^2015 contains last digit=3.\nNow,we see\n3,7,11,15....2015 are in AP\ntn=a+(n-1)d\n2015=3+(n-1)4\n2015=3+4n-4\n4n=2016\nn=504\nANSWER:A", "role": "assistant", "uuid": "4cb69c10-9d98-426c-a8c9-adeaf5299d70" } ]

{ "coherence": 2.72, "complexity": 2.08, "correctness": 2.31, "helpfulness": 2.25, "instruction-following": 2.94, "safety": 5.24, "verbosity": 1.41, "verbosity-coeff": -0.1189 }

[ { "content": "5 is added to a certain number, the sum is multiplied by 5, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 60. What is the number?\n\n['A)21', 'B)20', 'C)2', 'D)30', 'E)45']", "role": "user", "uuid": "4e110242-4750-4814-a456-9dfde5243b49" }, { "content": "Let number is X.\nWhen 5 added to it,\n= (X+5)\n5 multiplied to sum,\n= 5 *(X +5)\nNow,\n= [{5 *(X +5)} /5]\nAnd,\n= [{5 *(X +5)} /5] - 5\nAccording to question,\n[{5 *(X +5)} /5] - 5 = half of 60\n[(5X + 25) /5) = 30 +5\n5X + 25 = 35 *5\nX + 5 = 7 *1\nX + 5 = 7\nX = 7 - 5\nX = 2\nSo, required number is: 2.\nANSWER : C", "role": "assistant", "uuid": "0da03ad8-7e9f-4fed-8ffe-4dd3c9a186e7" } ]

{ "coherence": 2.74, "complexity": 1.89, "correctness": 2.14, "helpfulness": 2.41, "instruction-following": 2.9, "safety": 4.25, "verbosity": 1.39, "verbosity-coeff": -0.1762 }

[ { "content": "A shopping mall give 40% sale on T-shirts and increase 25% price of pants. The cost price of pants and T-shirts are 1500 and 400 respectively. Overall they makes a?\n\n['A)200', 'B)250', 'C)300', 'D)215', 'E)180']", "role": "user", "uuid": "9c4a7e96-d777-4644-8013-f31bbbe4e3fa" }, { "content": "Let the SP of the pants and T-shirts be Rs. p and Rs. t respectively.\np = 1500(1 + 25/100) = 1500 + 375\nt = 400(1 - 40/100) = 400 - 160\nTotal SP - Total CP = p + t - (1500 + 400) = 375 - 160 = Rs. 215\nAs this is positive, an overall profit of Rs. 500 was made.\nAnswer: D", "role": "assistant", "uuid": "b99c0a7c-0af8-483a-a690-a76d4e8e1e7a" } ]

{ "coherence": 2.33, "complexity": 1.82, "correctness": 1.7, "helpfulness": 2.14, "instruction-following": 3.04, "safety": 5.01, "verbosity": 1.38, "verbosity-coeff": -0.1212 }

[ { "content": "George baked a total of 50 pizzas for 5 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)3', 'D)2', 'E)1']", "role": "user", "uuid": "fda04c4e-83f2-41e9-a10e-37ba8370384f" }, { "content": "3/5 of the 50 pizzas cooked on Saturday = 30 pizzas\n3/5 of the remaining pizzas on Sunday = 12 pizzas\nWe're left with (50-30-12) =8 pizzas for the remaining 3 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\n5 2 1 =8\nW=1\nE", "role": "assistant", "uuid": "86f3fd96-bbad-4164-8116-233cb94b09d2" } ]

{ "coherence": 2.29, "complexity": 1.17, "correctness": 1.53, "helpfulness": 1.67, "instruction-following": 1.92, "safety": 4.93, "verbosity": 0.65, "verbosity-coeff": -0.1993 }

[ { "content": "The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 75 percent of a, and m equals b decreased by 80 percent of b, what is the value of m/x?\n\n['A)1/7', 'B)3/4', 'C)4/5', 'D)5/4', 'E)3/2']", "role": "user", "uuid": "6384aba7-3f96-4622-a447-efd0fac3955e" }, { "content": "a/b = 4/5\nm/x = (1/5)*5 / (7/4)*4 = 1/7\nThe answer is A.", "role": "assistant", "uuid": "5bb1c1b6-f240-4903-8416-c914ce72dc0d" } ]

{ "coherence": 3.07, "complexity": 1.81, "correctness": 2.47, "helpfulness": 2.59, "instruction-following": 2.68, "safety": 4.97, "verbosity": 1.08, "verbosity-coeff": -0.1441 }

[ { "content": "The train travels at an average speed of 16km/h, to the top of the hill where the midpoint of the trip is. Going down hill, train travels at an average speed of 8km/h. Which of the following is the closest approximation of train's average speed, in kilometers per hour, for the round trip?\n\n['A)9.6', 'B)10.6', 'C)4.3', 'D)2.5', 'E)5.3']", "role": "user", "uuid": "a25edef7-9610-4e6d-8e21-cffbe102f39e" }, { "content": "Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 16km/hour and 8 km/hour, using a multiple of both 16 and 8 would make the math easiest.\nLet's set the Distance up the hill at 64 km.\nSo, going uphill, we have....\nD = (R)(T)\n64 = (16)(T)\n64/16 = 4 = T\n4 hours to go uphill\nGoing downhill, we have....\nD = (R)(T)\n60 = (20)(T)\n64/8 = 8 = T\n8 hours to go downhill\nTotal Distance = 120 km\nTotal Time = 4+8 = 12 hours\nAverage Speed = 128/12 = 10.6 km/hour\nB", "role": "assistant", "uuid": "c96cfb63-302f-4e98-8d72-9646305216bb" } ]

{ "coherence": 2.49, "complexity": 1.57, "correctness": 1.67, "helpfulness": 1.71, "instruction-following": 2.57, "safety": 3.84, "verbosity": 1.24, "verbosity-coeff": -0.1696 }

[ { "content": "There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)\n\n['A)70.9%', 'B)71.9%', 'C)72.9%', 'D)73.9%', 'E)74.9%']", "role": "user", "uuid": "ce24ad73-2b60-482d-bd27-23104a9c6e6a" }, { "content": "Total 100% 32\nMen 23\nWomen 9\n32-9=23\nx/100=23/32\nMultiply the opposites:\n100 x 23 = 2300\nDivide by the remaining number:\n71.87/2300.00\n32\n71.9%(rounded to nearest tenth)\ncorrect answer B", "role": "assistant", "uuid": "697237fe-045d-4bb4-9879-af4ec3d63376" } ]

{ "coherence": 2.68, "complexity": 1.18, "correctness": 2.31, "helpfulness": 2.33, "instruction-following": 2.49, "safety": 4.44, "verbosity": 1.35, "verbosity-coeff": -0.119 }

[ { "content": "A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 6 rows or 4 rows or 8 rows, then no tree will be left. Find the least number of trees required\n\n['A)24', 'B)60', 'C)28', 'D)76', 'E)21']", "role": "user", "uuid": "4b4c1771-3d85-436d-b435-3e8055422bba" }, { "content": "Explanation:\nThe least number of trees that are required = LCM(6,4,8) = 24\nAnswer: A", "role": "assistant", "uuid": "ef1e6e5d-a3ce-4f6c-b1b5-26a9a1b3da13" } ]

{ "coherence": 3.02, "complexity": 1.31, "correctness": 2.68, "helpfulness": 2.84, "instruction-following": 3.11, "safety": 5.75, "verbosity": 0.91, "verbosity-coeff": -0.1216 }

[ { "content": "A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist?\n\n['A)9km/hr', 'B)7km/hr', 'C)12km/hr', 'D)15km/hr', 'E)18km/hr']", "role": "user", "uuid": "944fb019-cde6-4374-a2bb-5ba2e4ed5413" }, { "content": "Speed = { 750 } m/sec =5 m/sec = { 5 * 18 } km/hr =18km/hr\nAns:E", "role": "assistant", "uuid": "5231830e-6543-445a-9a5d-d83ed44ef2ef" } ]

{ "coherence": 2.61, "complexity": 0.87, "correctness": 1.85, "helpfulness": 1.79, "instruction-following": 2.82, "safety": 6.14, "verbosity": 0.17, "verbosity-coeff": -0.1162 }

[ { "content": "A book club rented the party room of a local restaurant to meet and discuss its current novel over dinner. The total charge, including food and service, was $ 950. If each member of the club paid at least $ 42, then what is the greatest possible number of members in the club?\n\n['A)19', 'B)20', 'C)21', 'D)25', 'E)23']", "role": "user", "uuid": "9726eee4-f56f-47ca-9011-843929d02052" }, { "content": "Given: Each person spends $42.\nBy looking at the options, we see that if there were 20 members, each person will spend atleast $42.\nHence the greatest number of members = 22.6. Option E", "role": "assistant", "uuid": "2fd9fc65-13e2-454d-a45e-36c7a669ac0e" } ]

{ "coherence": 2.25, "complexity": 1.01, "correctness": 0.97, "helpfulness": 1.16, "instruction-following": 0.25, "safety": 5.24, "verbosity": 0.71, "verbosity-coeff": -0.2303 }

[ { "content": "The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 10 years ago ? (RBI Assistant 2015)\n\n['A)11', 'B)18', 'C)12', 'D)15', 'E)13']", "role": "user", "uuid": "433085b5-7905-4788-b58e-cc26ba1ba4e0" }, { "content": "Let the present age of Viju be 7x years and that of Aju be 2x years.\nThen, 4 years from now\n7x + 4 / 2x + 4 = 5 / 2\nor 4x = 12\nor x = 3\nViju present age = 7 * 3 = 21 years\nViju age 10 years ago = 21 - 10 = 11 years\nanswer :A", "role": "assistant", "uuid": "a7ff671a-4658-4eaf-937e-3033148d05e0" } ]

{ "coherence": 3.17, "complexity": 0.97, "correctness": 2.62, "helpfulness": 2.76, "instruction-following": 3.76, "safety": 4.34, "verbosity": 0.54, "verbosity-coeff": -0.1198 }

[ { "content": "The length of a rectangle is increased by 15% and its breadth is decreased by 20%. What is the effect on its area?\n\n['A)1288', 'B)1299', 'C)1000', 'D)10000', 'E)9200']", "role": "user", "uuid": "48bbebb5-924c-42ea-8768-8fa26ddc3c3e" }, { "content": "100 * 100 = 10000\n115 * 80 = 9200\nAnswer: E", "role": "assistant", "uuid": "31844933-f929-4611-be33-2e159fd423bf" } ]

{ "coherence": 2.37, "complexity": 1.13, "correctness": 1.78, "helpfulness": 1.97, "instruction-following": 2.92, "safety": 5.91, "verbosity": 0.78, "verbosity-coeff": -0.116 }

[ { "content": "At a contest with 3000 participants, 1/2 of the people are aged 8 to 14. Next year, the number of people aged 8 to 14 will increase by 1/6. After this change, what percentage of the total 3000 people will the 8- to 14-year-olds represent?\n\n['A)53.33%', 'B)50%', 'C)58.33%', 'D)55.33%', 'E)68%']", "role": "user", "uuid": "1aeda41e-8754-436c-b45d-b4df211164bb" }, { "content": "I just wanted to mention a couple of things here:\n* this is a pure ratio question; the number 3000 is completely irrelevant, and you can ignore it if you like. When we increase something by 1/6, we are multiplying it by 1 + 1/6 = 7/6, so the answer here must be (1/2)*(7/6) = 7/12 = 58.33 %.\nAnswer : C", "role": "assistant", "uuid": "e317ea91-d39f-486a-bdd1-8721e0d6dadf" } ]

{ "coherence": 2.84, "complexity": 1.71, "correctness": 2.74, "helpfulness": 2.43, "instruction-following": 2.74, "safety": 5.09, "verbosity": 1.57, "verbosity-coeff": -0.1537 }

[ { "content": "The sum of three consecutive numbers is 87. The greatest among these three number is:\n\n['A)26', 'B)28', 'C)29', 'D)30', 'E)31']", "role": "user", "uuid": "7af895d6-ecae-41ce-8972-05eea9088ced" }, { "content": "Let the numbers be x, x + 1 and x + 2\nThen,\nx + (x + 1) + (x + 2) = 87\n3x = 84\nx = 28\nGreatest number, (x + 2) = 30.\nANSWER:D", "role": "assistant", "uuid": "0349e9b4-599b-4edc-8abf-ee5880d00163" } ]

{ "coherence": 2.96, "complexity": 1.97, "correctness": 2.88, "helpfulness": 3.05, "instruction-following": 3.89, "safety": 4.93, "verbosity": 1.79, "verbosity-coeff": -0.1183 }

[ { "content": "What quantity of water should taken out to concentrate 24 liters of 40% acidic liquid to 60% acidic liquid?\n\n['A)5liters', 'B)10liters', 'C)15liters', 'D)8liters', 'E)6liters']", "role": "user", "uuid": "f70da20c-63af-461b-bd09-65e8b7fa45d6" }, { "content": "Required answer is = 24(60-40)/60 = 8 liters\nAnswer is D", "role": "assistant", "uuid": "b218b23e-c932-446d-b5e0-65c9bcb6acbd" } ]

{ "coherence": 2.64, "complexity": 1.19, "correctness": 2.45, "helpfulness": 2.47, "instruction-following": 3.11, "safety": 5.67, "verbosity": 0.67, "verbosity-coeff": -0.1104 }

[ { "content": "Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to that of only one person working full-time. If one of the people is budgeted for 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker's time should be budgeted to this project?\n\n['A)1/3', 'B)1/4', 'C)1/6', 'D)1/8', 'E)1/9']", "role": "user", "uuid": "c5c5c963-5be3-4345-a7ce-0e713b4e638b" }, { "content": "Explanation:\nOne-half (1/2) plus one-third (1/3) equals five-sixths (5/6), so one-sixth (1/6) of the third worker's time should be budgeted to the project in order for the total time to be equivalent to that of one person working full-time.\nIf x 2 - x - 6 = 0, then (x + 2)(x - 3) = 0, so x = -2 or x = 3.\nCorrect answer : A", "role": "assistant", "uuid": "7b9e5067-3379-4686-a16a-f82344e83958" } ]

{ "coherence": 2.55, "complexity": 1.78, "correctness": 1.95, "helpfulness": 1.94, "instruction-following": 1.93, "safety": 4.54, "verbosity": 1.75, "verbosity-coeff": -0.1769 }

[ { "content": "The cost of 20 packets of sugar, each weighing 900 grams is Rs. 28. What will be the cost of 27 packets, if each packet weighs 1 kg?\n\n['A)Rs 42', 'B)Rs 56', 'C)Rs 58.50', 'D)Rs 64.75', 'E)None of these']", "role": "user", "uuid": "bbf4de68-534d-4bb4-bdac-39c02e453f74" }, { "content": "Explanation :\nLet the required cost be Rs. x. Then,\nMore packets, More cost (Direct Proportion)\nMore weight, More cost (Direct Proportion)\nPackets 20 : 27\nWeight 900 : 1000 :: 28 : x\n(20 x 900 x x) = (27 x 1000 x 28)\nx = (27 x 1000 x 28) /20 x 900\n=42\nAnswer A", "role": "assistant", "uuid": "a031a860-50cd-433e-8f0e-d93c97682a4a" } ]

{ "coherence": 2.86, "complexity": 1.47, "correctness": 2.39, "helpfulness": 2.66, "instruction-following": 3.15, "safety": 4.77, "verbosity": 1.53, "verbosity-coeff": -0.1277 }

[ { "content": "How is 2% expressed as a decimal fraction?\n\n['A)0.2', 'B)0.02', 'C)0.002', 'D)0.0002', 'E)2']", "role": "user", "uuid": "1c743af1-1f3f-462c-bef3-646d0a975989" }, { "content": "2/100= 0.02\nANSWER:B", "role": "assistant", "uuid": "b0955871-c0a8-485c-bfa7-927d59e7e5fe" } ]

{ "coherence": 2.9, "complexity": 1.24, "correctness": 3.05, "helpfulness": 3.09, "instruction-following": 3.41, "safety": 5.12, "verbosity": 1.1, "verbosity-coeff": -0.0644 }

[ { "content": "A does a work in 10days and B does the same work in 15days. In how many days they together will do the same work?\n\n['A)3', 'B)5', 'C)6', 'D)8', 'E)10']", "role": "user", "uuid": "26c82ba3-3517-4680-940b-25b032b8d373" }, { "content": "A+B can finish =AB/A+B = 10*15/(10+15) = 6days\nAnswer is C", "role": "assistant", "uuid": "f3ebf263-48b1-40f7-bff8-76a791eaa8fd" } ]

{ "coherence": 2.7, "complexity": 1.46, "correctness": 2.35, "helpfulness": 2.41, "instruction-following": 3.25, "safety": 5.4, "verbosity": 0.7, "verbosity-coeff": -0.111 }

[ { "content": "The radius of a semi circle is 6.3 cm then its perimeter is?\n\n['A)32.9', 'B)32.4', 'C)32.2', 'D)32.1', 'E)32.7']", "role": "user", "uuid": "d3c930f1-c550-4a13-b3aa-c6c631c77623" }, { "content": "36/7\nr = 6.3 = 32.4\nAnswer:B", "role": "assistant", "uuid": "6bb05a54-747b-453a-bbac-fc0688c11bee" } ]

{ "coherence": 2.37, "complexity": 0.7, "correctness": 1.63, "helpfulness": 1.91, "instruction-following": 2.45, "safety": 5.32, "verbosity": 0.31, "verbosity-coeff": -0.0948 }

[ { "content": "Factory X's bulbs work for over 5000 hours in 75% of cases, whereas factory Y's bulbs work for over 5000 hours in 65% of cases. It is known that factory X supplies 70% of the total bulbs available. What is the chance that a purchased bulb will work for longer than 5000 hours?\n\n['A)76.4%', 'B)78%', 'C)77.4%', 'D)72%', 'E)73.9%']", "role": "user", "uuid": "a665ecb8-9604-4d12-a558-9cdac9176f4e" }, { "content": "For X, 70% of 75% will work.\nFor Y, 30% of 65% will work. *30% is the rest of the bulb supply in the market.\nSo, the probability that a purchased bulb will work is:\n0.70(0.75) = .525\n0.30(0.65) = 0.195\nThe combined probability then is 52.5 + 19.5 = 72%\nANS D", "role": "assistant", "uuid": "c31cfc14-3a18-4d12-98d0-b27dbd8f148f" } ]

{ "coherence": 2.88, "complexity": 1.31, "correctness": 2.47, "helpfulness": 2.66, "instruction-following": 3.17, "safety": 4.48, "verbosity": 1.27, "verbosity-coeff": -0.1282 }

[ { "content": "If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater than 1?\n\n['A)8', 'B)9', 'C)12', 'D)15', 'E)27']", "role": "user", "uuid": "730f41e7-4526-4705-860a-53ee5bb0ec83" }, { "content": "umber of factors of (2^a)*(3^b)*(5^c) ... = (a+1)(b+1)(c+1) ...\nIf m, p and t are the distinct prime numbers, then the number is already represented in its prime factorization form\nNumber of factors = (3+1)(1+1)(1+1) = 16\nOut of these, one factor would be 1.\nHence different positive factors greater than 1 = 15\nCorrect Option: D", "role": "assistant", "uuid": "4d09c0f3-28bd-481a-9853-636dd660c1b5" } ]

{ "coherence": 2.49, "complexity": 1.5, "correctness": 1.34, "helpfulness": 1.38, "instruction-following": 1.92, "safety": 5.79, "verbosity": 0.96, "verbosity-coeff": -0.2504 }

[ { "content": "If X = the product of six distinct prime numbers, how many factors does X have besides 1 and itself?\n\n['A)50', 'B)56', 'C)62', 'D)68', 'E)74']", "role": "user", "uuid": "aa3a9ee8-f117-4d74-b0b3-b209832c8169" }, { "content": "Since X has 6 distinct prime factors, X has a total of 2^6 = 64 factors.\nBesides 1 and itself, X has 62 factors.\nThe answer is C.", "role": "assistant", "uuid": "e1536058-70a9-433d-bdc1-0b561459dbf3" } ]

{ "coherence": 3.25, "complexity": 1.7, "correctness": 2.39, "helpfulness": 2.55, "instruction-following": 3.21, "safety": 4.93, "verbosity": 1.34, "verbosity-coeff": -0.2253 }

[ { "content": "A salesperson receives a base salary of $1200 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?\n\n['A)$1,500', 'B)$1,800', 'C)$2,100', 'D)$2,500', 'E)$3,000']", "role": "user", "uuid": "bfd280e0-2be2-4deb-9060-8ecb81c66562" }, { "content": "Ans : 1200+ 7.5 % * 150 * (210-50) = $ 3000\nAnswer E", "role": "assistant", "uuid": "e6e2a1b9-84ed-4f35-a8bb-72fbfc5e6e63" } ]

{ "coherence": 2.51, "complexity": 0.25, "correctness": 1.83, "helpfulness": 2.08, "instruction-following": 2.35, "safety": 3.46, "verbosity": 0.7, "verbosity-coeff": -0.1169 }

[ { "content": "111 = O,\n222 = E,\n333 = T,\n444 = S,\nReading and analyzing the above, can you find out the following ?\n555 = ?\n\n['A)0', 'B)1', 'C)3', 'D)2', 'E)4']", "role": "user", "uuid": "a4553c24-16c0-4c63-b8cd-92cf3521a656" }, { "content": "Solution:\n0\nExplanation:\n1 * 1 * 1 = One\n2 * 2 * 2 = Eight\n3 * 3 * 3 = Twenty seven\n4 * 4 * 4 = Sixty Four\nFor all the above, you can see that the first letter of the sum is the code.\nThus 5 * 5 * 5 = One twenty five\nThus 555 = O.\nAnswer A", "role": "assistant", "uuid": "f04db128-3673-4b6d-b47f-2774289c7982" } ]

{ "coherence": 2.08, "complexity": 1.8, "correctness": 1.63, "helpfulness": 1.9, "instruction-following": 1.61, "safety": 4.01, "verbosity": 1.67, "verbosity-coeff": -0.0904 }

[ { "content": "In a Lake, there is a patch of lily pads. Every day, the patch doubles in size. It takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?\n\n['A)36', 'B)2^4*3', 'C)24', 'D)38', 'E)47']", "role": "user", "uuid": "0d6a004b-1a6a-4f3c-969f-84d704238fc3" }, { "content": "Working backward from the day it's covered:\nday 37: fully covered\nday 36: half covered\nSo 36 days\nANSWER:A", "role": "assistant", "uuid": "62e74498-0327-4421-bdaf-6dec2c078c9e" } ]

{ "coherence": 2.94, "complexity": 2.2, "correctness": 2.57, "helpfulness": 2.55, "instruction-following": 2.72, "safety": 5.12, "verbosity": 1.09, "verbosity-coeff": -0.1276 }

[ { "content": "A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together?\n\n['A)4', 'B)3', 'C)5', 'D)6', 'E)2']", "role": "user", "uuid": "44e0d9ce-800a-48c0-b3d7-57847611faed" }, { "content": "1/7 + 1/14 + 1/28 = 7/28 = 1/4 => 4 days\nANSWER A", "role": "assistant", "uuid": "658e59ba-449e-40ed-9ea8-37dde118ecee" } ]

{ "coherence": 3, "complexity": 1.25, "correctness": 3.13, "helpfulness": 3.05, "instruction-following": 3.72, "safety": 4.85, "verbosity": 1.44, "verbosity-coeff": -0.1163 }

[ { "content": "A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 9 is\n\n['A)3', 'B)7', 'C)21', 'D)189', 'E)267']", "role": "user", "uuid": "53edf156-6159-4585-bb2b-6c6658bdefd1" }, { "content": "In that case, the Sophie prime numbers greater than 9 are 11,23,47,59, .. which yields units digit as 1,3,7 and 9\nProduct would be 1 x 3 x 7x9 =189 Answer should be D", "role": "assistant", "uuid": "682ca2f4-9919-4ff7-a354-2fab4b92a164" } ]

{ "coherence": 2.72, "complexity": 1.74, "correctness": 2.16, "helpfulness": 2.1, "instruction-following": 2.33, "safety": 4.4, "verbosity": 1.18, "verbosity-coeff": -0.1579 }

[ { "content": "A watch was sold at a loss of 10%. If the watch was sold for $24 more, there would have been a gain of 6%. What is the cost price?\n\n['A)$120', 'B)$150', 'C)$180', 'D)$210', 'E)$240']", "role": "user", "uuid": "097b33a5-06ae-4028-8bdb-42ae46e30cfa" }, { "content": "0.9x + 24 = 1.06x\n0.16x = 24\nx = 150\nThe answer is B.", "role": "assistant", "uuid": "a543ce12-7c36-4332-9b22-2a7ccbbd7e13" } ]

{ "coherence": 3.35, "complexity": 0.94, "correctness": 2.82, "helpfulness": 2.9, "instruction-following": 3.54, "safety": 4.62, "verbosity": 0.74, "verbosity-coeff": -0.1624 }

[ { "content": "How many times does the minute hand and the second hand make a straight line?\n\n['A)21', 'B)2823', 'C)2822', 'D)2832', 'E)2833']", "role": "user", "uuid": "74bf24bc-86fb-414f-b962-008cee07ae76" }, { "content": "D\n2832\nmake a straight line 59 x 2 times = 118 times.\n24 hours in a day, so in a day minutes and second hand make a straight line\n24 x 118 times = 2832 times.", "role": "assistant", "uuid": "0cce877e-3626-4b32-ada4-7d7d0f9399d5" } ]

{ "coherence": 2.62, "complexity": 1.4, "correctness": 1.49, "helpfulness": 1.85, "instruction-following": 2.04, "safety": 4.54, "verbosity": 1.41, "verbosity-coeff": -0.1159 }

[ { "content": "{9,4,3,5,7,12,10}\nWhat value should be inserted into the above set of 7 values to get a median value of 6?\n\n['A)5', 'B)4', 'C)3', 'D)7', 'E)6']", "role": "user", "uuid": "7bf5699b-511c-4028-b558-b92dfb9ecdd4" }, { "content": "Median is the middle number of a sorted distribution. In case of even number of items, Median will be the average of middle two values.\nThe question asks fora new number that will cause the median of new set at 12.\nMentionable that given set is already sorted and number of items of new set will be 7+1 = 8.\nTo get median 6,the sum of 4th5th Term should be 12 and luckilyit's exactly same in the existing series i.e. 5+7.\nSo to keep the median 6, the new item should be >=7\nAnswer is D", "role": "assistant", "uuid": "d7b0f8f0-417d-47cc-9492-278b9376b26a" } ]

{ "coherence": 2.31, "complexity": 1.68, "correctness": 1.9, "helpfulness": 1.81, "instruction-following": 1.5, "safety": 4.73, "verbosity": 1.15, "verbosity-coeff": -0.1139 }

[ { "content": "By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%?\n\n['A)Rs.429', 'B)Rs.480', 'C)Rs.420', 'D)Rs.418', 'E)Rs.429']", "role": "user", "uuid": "cf86c886-8db3-4ca7-8ae0-d9c0022953ed" }, { "content": "SP = 800\nProfit = 25%\nCP = (SP)*[100/(100+P)]\n= 800 * [100/125]\n= 640\nLoss = 25% = 25% of 640 = Rs.160\nSP = CP - Loss = 640 - 160 = Rs.480\nAnswer:B", "role": "assistant", "uuid": "8aae4e69-c956-46f6-b725-dc4792b2f5cf" } ]

{ "coherence": 2.84, "complexity": 1.7, "correctness": 2.66, "helpfulness": 2.94, "instruction-following": 3.54, "safety": 4.97, "verbosity": 1.63, "verbosity-coeff": -0.1505 }

[ { "content": "A circular rim 50 inches in diameter rotates the same number of inches per second as a circular rim 15 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?\n\n['A)48pi/x', 'B)75x', 'C)48x', 'D)24x', 'E)200x']", "role": "user", "uuid": "6fe9c670-e3bf-482c-b608-f1893619f614" }, { "content": "Revolutions - circumference of the rim.\n=> 50pi*X*60 = 15pi*Revolutions\n=> 10/3 *X *60 = Revolutions => 200X - Option E", "role": "assistant", "uuid": "427d4575-edec-4a05-a0c5-ba4dd2fe37ed" } ]

{ "coherence": 2.66, "complexity": 2.04, "correctness": 2.14, "helpfulness": 2.29, "instruction-following": 2.25, "safety": 5.2, "verbosity": 0.83, "verbosity-coeff": -0.1851 }

[ { "content": "189. The inside dimensions of a rectangular wooden box\nare 12 inches by 14 inches by 16 inches. A cylindrical\ncanister is to be placed inside the box so that it stands\nupright when the closed box rests on one of its six\nfaces. Of all such canisters that could be used, what is\nthe radius, in inches, of the one that has maximum\nvolume?\n\n['A) 3', 'B) 4', 'C) 5', 'D) 6', 'E) 7']", "role": "user", "uuid": "a57f0297-7ab2-48b1-a162-9dd8a04e5d99" }, { "content": "Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7.\nE", "role": "assistant", "uuid": "9580aca0-f734-43fb-9239-5bee925cfe88" } ]

{ "coherence": 2.76, "complexity": 1.22, "correctness": 1.59, "helpfulness": 1.41, "instruction-following": 1.55, "safety": 4.62, "verbosity": 0.86, "verbosity-coeff": -0.1478 }

[ { "content": "How many pieces of 85 cm length can be cut from a rod of 38.25 meters long?\n\n['A)25', 'B)35', 'C)45', 'D)55', 'E)65']", "role": "user", "uuid": "d416ff54-7649-4ff4-9959-a9faea225e61" }, { "content": "Number of pieces = 3825/85 = 45\nThe answer is C.", "role": "assistant", "uuid": "0bd16509-5ecf-4d46-bb58-19cef2d22761" } ]

{ "coherence": 3.15, "complexity": 1.14, "correctness": 2.64, "helpfulness": 2.76, "instruction-following": 3.56, "safety": 5.95, "verbosity": 0.8, "verbosity-coeff": -0.1164 }

[ { "content": "Initially 150. Reduced by 20%. How it is to be reduced to become 108?\n\n['A)10%', 'B)20%', 'C)30%', 'D)40%', 'E)50%']", "role": "user", "uuid": "e880b130-6743-45c1-8291-8ef1f121c1b4" }, { "content": "150*20/100=30\nso now we have 150-30=120 in hand\nto make it 108, reduce 12\n12=120*x/100,\nx% is to be reduced\nx=10%\nANSWER:A", "role": "assistant", "uuid": "15ea9f24-4bf3-4797-9fce-2c3e3b76ce69" } ]

{ "coherence": 2.78, "complexity": 1.74, "correctness": 2.57, "helpfulness": 2.43, "instruction-following": 3.21, "safety": 5.01, "verbosity": 1.87, "verbosity-coeff": -0.1048 }

[ { "content": "A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?\n\n['A)250', 'B)288', 'C)276', 'D)188', 'E)112']", "role": "user", "uuid": "fb95a839-446f-453e-bcdc-9085d6fea7c8" }, { "content": "CP1 = 100 SP1 = 90\nCP2 = 80 SP2 = 80 * (140/100) = 112\n22 ----- 100\n55 ----- ? => Rs.250\nAnswer: A", "role": "assistant", "uuid": "fe19cd63-c489-486b-8b21-d84dd1a5a939" } ]

{ "coherence": 2.94, "complexity": 0.87, "correctness": 2.59, "helpfulness": 2.82, "instruction-following": 3.52, "safety": 5.32, "verbosity": 0.67, "verbosity-coeff": -0.1241 }

[ { "content": "A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?\n\n['A)33', 'B)77', 'C)66', 'D)11', 'E)99']", "role": "user", "uuid": "50bcd040-77d2-4411-92f6-dfdc93a5d388" }, { "content": "One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 4 days = 4*(1/24 + 1/30) = 3/10\nRemaining work = 7/10\nThe number of days required for this initial work = 7 days.\nThe total number of days required = 4 + 7 = 11 days.\nAnswer:D", "role": "assistant", "uuid": "c5a5b4e3-9de6-41ac-b06c-5b795ed622d2" } ]

{ "coherence": 2.78, "complexity": 1.12, "correctness": 2.31, "helpfulness": 2.68, "instruction-following": 3.46, "safety": 5.59, "verbosity": 1.04, "verbosity-coeff": -0.1182 }

[ { "content": "On Thursday Mabel handled 90 transactions. Anthony handled 10% more transactions than Mabel, Cal handled 2/3rds of the transactions that Anthony handled, and Jade handled 14 more transactions than Cal. How much transactions did Jade handled?\n\n['A)80', 'B)81', 'C)82', 'D)83', 'E)84']", "role": "user", "uuid": "aedccea9-c612-4c10-8efe-ae21a371d74e" }, { "content": "Solution:\nMabel handled 90 transactions\nAnthony handled 10% more transactions than Mabel\nAnthony = 90 + 90 × 10%\n= 90 + 90 × 0.10\n= 90 + 9\n= 99\nCal handled 2/3rds of the transactions than Anthony handled\nCal = 2/3 × 99\n= 66\nJade handled 14 more transactions than Cal.\nJade = 66 + 14\n= 80\nJade handled = 80 transactions.\nAnswer: A", "role": "assistant", "uuid": "86e57fac-8663-455e-867f-62db452befad" } ]

{ "coherence": 3.11, "complexity": 1.45, "correctness": 2.29, "helpfulness": 2.72, "instruction-following": 3.54, "safety": 5.75, "verbosity": 1.62, "verbosity-coeff": -0.1103 }

[ { "content": "Sandeep's age after six years will be three-seventh of his father's age. Ten years ago the ratio of their ages was 1:5. What is Sandeep's father's age at present?\n\n['A)50', 'B)40', 'C)30', 'D)60', 'E)70']", "role": "user", "uuid": "96e6f6d1-cdfd-4d34-8b81-229918ea44a7" }, { "content": "Let the age of Sandeep and his father before 10 years be x and 5x respectively.\nGiven that Sandeep's age after six years will be three-seventh of his father's age\n⇒x+16=37(5x+16)⇒7x+112=15x+48⇒8x=64⇒x=8\nSandeep's father's present age\n=5x+10=5×8+10=50\nAnswer is A.", "role": "assistant", "uuid": "dd95097a-9cc6-4558-b578-486d1cd77086" } ]

{ "coherence": 2.86, "complexity": 1.52, "correctness": 2.39, "helpfulness": 2.49, "instruction-following": 3.21, "safety": 5.95, "verbosity": 0.83, "verbosity-coeff": -0.1407 }

[ { "content": "The average height of 50 pupils in a class is 150 cm. Five of them whose height is 142 cm, leave the class and five others whose average height is 156 cm, join. The new average height of the pupils of the class (in cm) is ?\n\n['A)287 cm', 'B)151 cm', 'C)151.4 cm', 'D)287 cm', 'E)297 cm']", "role": "user", "uuid": "49146d58-8631-476b-a235-a0025a915557" }, { "content": "Total height = 150 * 50 = 7500 cm.\nNew average = [7500 - 5 * 142 + 5 * 156 ] / 50\n= 151.4 cm.\nAnswer:C", "role": "assistant", "uuid": "7e51f7a0-199c-4d9b-8717-56f04fc5dfed" } ]

{ "coherence": 3.09, "complexity": 0.85, "correctness": 2.27, "helpfulness": 2.59, "instruction-following": 3.82, "safety": 5.59, "verbosity": 1.02, "verbosity-coeff": -0.1227 }

[ { "content": "If x^2 + 9/x^2 = 7, what is the value of x - 3/x\n\n['A)1', 'B)25', 'C)9', 'D)5', 'E)3']", "role": "user", "uuid": "8abb989f-6af0-4dc3-8c2d-3d73c1b3fe51" }, { "content": "To find : x-3/x. Let it be t.\n=> x-3/x = t\n=> (x^2 + 9/x^2) - 2*x*3/x = t^2 (Squaring both sides).\n=> (7) - 2*3 = 1\n=> t^2 = 1. Thus t=1 or t=-1.\nAnswer A", "role": "assistant", "uuid": "4d4f1ecc-b4da-467d-a95d-489f62533ed5" } ]

{ "coherence": 2.78, "complexity": 1.79, "correctness": 2.16, "helpfulness": 2.12, "instruction-following": 2.55, "safety": 5.44, "verbosity": 1.37, "verbosity-coeff": -0.1605 }

[ { "content": "If |w|=−w, which of the following must be true?\n\n['A)x≥0', 'B)w≤0', 'C)x2>x', 'D)x3<0', 'E)2x<x']", "role": "user", "uuid": "52f4a9eb-1287-4bbd-946b-bb49d1db362e" }, { "content": "|w| =-w means absolute value of w is equal to negative of w. Since absolute value cannot be negative hence negative of w should result in a non negative number. It means w is a non positive number i.e. w<0. Answer is B", "role": "assistant", "uuid": "7cc6cee8-4c29-420a-811b-db65f3ee5aa5" } ]

{ "coherence": 2.92, "complexity": 1.89, "correctness": 2.51, "helpfulness": 2.47, "instruction-following": 2.37, "safety": 4.62, "verbosity": 1.2, "verbosity-coeff": -0.199 }

[ { "content": "In a two digit number, the digit in the units place is two times the digit in ten's place and sum of the digits is equal to 12. What is the number?\n\n['A)25', 'B)28', 'C)32', 'D)36', 'E)48']", "role": "user", "uuid": "4f379a32-acb2-4308-af9c-8588bb639791" }, { "content": "Solution\nLet the ten digits be x. Then,units digit=2x\nTherefore x + 2x = 12\n‹=›3x = 12\n‹=›x= 4.\nSo, ten's digit = 4, unit's digit = 8.\nHence, the required number is 48.\nAnswer E", "role": "assistant", "uuid": "e0c79d8e-c9f7-4726-9476-2fb65e5cd425" } ]

{ "coherence": 2.47, "complexity": 1.79, "correctness": 2.14, "helpfulness": 2.31, "instruction-following": 3.5, "safety": 5.79, "verbosity": 1.33, "verbosity-coeff": -0.1765 }

[ { "content": "A rectangular table seats 7 people on each of two sides, with every person directly facing another person across the table. If 14 people choose their seats at random, what is probability that person P directly faces person Q?\n\n['A)1/10', 'B)1/11', 'C)1/12', 'D)1/13', 'E)1/14']", "role": "user", "uuid": "9370c70c-c0eb-43ec-b21a-c3d3a03eca12" }, { "content": "Person P will be seated somewhere at the table.\nEach of the other 13 people has an equal chance of sitting opposite person P.\nThe probability that person Q sits across is 1/13.\nThe answer is D.", "role": "assistant", "uuid": "1fa35b83-3c6e-4135-bf87-f98eb5efaee6" } ]

{ "coherence": 3.11, "complexity": 1.53, "correctness": 2.55, "helpfulness": 2.53, "instruction-following": 2.59, "safety": 5.63, "verbosity": 1.18, "verbosity-coeff": -0.1782 }

[ { "content": "The average of 10 numbers is 23. If each number is increased by 6, what will the new average be?\n\n['A)36', 'B)29', 'C)72', 'D)29', 'E)22']", "role": "user", "uuid": "017563da-7758-44c4-95a5-1663af1b29e6" }, { "content": "Sum of the 10 numbers = 230\nIf each number is increased by 6, the total increase =\n6 * 10 = 60\nThe new sum = 230 + 60 = 290 The new average = 290/10\n= 29.\nAnswer:B", "role": "assistant", "uuid": "cbb95ff7-ec26-47ae-b32a-506112ef9108" } ]

{ "coherence": 2.9, "complexity": 1.49, "correctness": 2.86, "helpfulness": 3.15, "instruction-following": 3.58, "safety": 6.26, "verbosity": 1.55, "verbosity-coeff": -0.1314 }

[ { "content": "A students was asked to multiply a number by 3/2 but he divided that number by 3/2. His result was therefore 10 less than the correct answer. Find the number?\n\n['A)10', 'B)12', 'C)15', 'D)20', 'E)30']", "role": "user", "uuid": "6e016307-f4d2-4c08-9d29-870108d1f183" }, { "content": "Answer\nLet the number be N.\nAccording to the question,\n(N x 3)/2 - N / (3/2) = 10\n⇒ 3N/2 - 2N/3 = 10\n⇒ (9N - 4N) / 6 = 10\n⇒ 5N / 6 = 10\n∴ N = (10 x 6)/5 = 12\nOption: B", "role": "assistant", "uuid": "258e07e5-47f5-46f5-ab57-2be6d5d80e9b" } ]

{ "coherence": 2.84, "complexity": 2.08, "correctness": 2.55, "helpfulness": 2.94, "instruction-following": 3.82, "safety": 4.85, "verbosity": 1.24, "verbosity-coeff": -0.1212 }

[ { "content": "A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 220 kilometers?\n\n['A)4.5', 'B)5.5', 'C)6.5', 'D)7.5', 'E)8.5']", "role": "user", "uuid": "e27864dc-3277-4e01-abf1-eeea49327278" }, { "content": "Each 40 kilometers, 1 gallon is needed. We need to know how many 40 kilometers are there in 220 kilometers?\n220 ÷ 40 = 5.5 × 1 gallon = 5.5 gallons\ncorrect answer B", "role": "assistant", "uuid": "1008ea97-1d06-46af-aeb5-0b07301d206e" } ]

{ "coherence": 3.09, "complexity": 0.97, "correctness": 2.61, "helpfulness": 2.64, "instruction-following": 3.31, "safety": 4.81, "verbosity": 0.76, "verbosity-coeff": -0.1699 }

[ { "content": "A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?\n\n['A)12%', 'B)10%', 'C)90%', 'D)80%', 'E)20%']", "role": "user", "uuid": "ead112c2-bb29-4d7e-8459-e7d6e2b7560d" }, { "content": "2420 --- 242\n100 --- ? => 10%\nAnswer: B", "role": "assistant", "uuid": "d617bce7-0ee4-4299-87f6-a14ee6a15bb9" } ]

{ "coherence": 2.45, "complexity": 0.97, "correctness": 1.8, "helpfulness": 2, "instruction-following": 2.29, "safety": 5.98, "verbosity": 0.05, "verbosity-coeff": -0.1157 }

[ { "content": "A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:\n\n['A)10', 'B)15', 'C)26', 'D)87', 'E)30']", "role": "user", "uuid": "3a811ccf-8c1a-437c-a6d7-11cb23f513d5" }, { "content": "Explanation:\nLet the total number of shots be x. Then,\nShots fired by A =5/8 x\nShots fired by B =3/8 x\nKilling shots by A=1/3 of 5/8x=5/24x\nShots missed by B=1/2 of3/8x=3/16x\n3/16x=27\nx=(27x16/3)=144\nBirds killed by A=5/24x=(5/24x144)=30\nAnswer is E", "role": "assistant", "uuid": "4302b6c4-c600-4a1f-b4b7-3df65c5a1685" } ]

{ "coherence": 2.76, "complexity": 1.93, "correctness": 2.72, "helpfulness": 2.72, "instruction-following": 3.64, "safety": 4.89, "verbosity": 1.16, "verbosity-coeff": -0.119 }

[ { "content": "A man can row downstream at the rate of 10 Km/hr and upstream at 6 Km/hr. Find man's rate in still water and the rate of current?\n\n['A)9,6', 'B)8,2', 'C)9,3', 'D)6,6', 'E)None of these']", "role": "user", "uuid": "3ab532d4-20c7-4409-b954-79c6ef66cb62" }, { "content": "Explanation:\nRate of still water = 1/2 (10 + 6) = 8 Km/hr\nRate of current = 1/2 (10-6) = 2 Km/hr\nAnswer: Option B", "role": "assistant", "uuid": "6f9b1ba3-5ce5-4328-968f-f79ede5b2ab8" } ]

{ "coherence": 2.7, "complexity": 0.97, "correctness": 2.31, "helpfulness": 2.55, "instruction-following": 3.11, "safety": 5.52, "verbosity": 0.29, "verbosity-coeff": -0.1197 }

[ { "content": "The calendar for the year 2007 will be the same for the year:\n\n['A)2014', 'B)2016', 'C)2017', 'D)2018', 'E)2019']", "role": "user", "uuid": "1939a6ca-5fba-4f3c-a7ec-4a94a977d84c" }, { "content": "Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.\nYear : 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017\nOdd day : 1 2 1 1 1 2 1 1 1 2 1\nSum = 14 odd days 0 odd days.\nCalendar for the year 2018 will be the same as for the year 2007.\nAnswer: Option D", "role": "assistant", "uuid": "6c5b0d24-3bd1-4e23-bb8e-73ee62671d7e" } ]

{ "coherence": 2.68, "complexity": 1.74, "correctness": 1.99, "helpfulness": 2.21, "instruction-following": 2.14, "safety": 4.62, "verbosity": 1.47, "verbosity-coeff": -0.0845 }

[ { "content": "Given that a is the average (arithmetic mean) of the first six positive multiples of six and b is the median of the first twelve positive multiples of six, what is the ratio of a to b?\n\n['A)3:4', 'B)10:13', 'C)5:6', 'D)13:10', 'E)7:13']", "role": "user", "uuid": "1c112e2b-5ab4-41ff-9f8f-aceef4233b04" }, { "content": "The first nine positive multiples of six are {6, 12, 18, 24,30, 36}\nThe first twelve positive multiples of six are {6, 12, 18, 24, 30,36,42, 48, 54, 60, 66, 72}\nBoth sets are evenly spaced, thus their median=mean:\na=21 and b=(36+42)/2=39 --> a/b=21/39=7/13.\nAnswer: E.", "role": "assistant", "uuid": "1e59a225-447d-4724-a251-c03e16a0becc" } ]

{ "coherence": 3.27, "complexity": 1.76, "correctness": 2.49, "helpfulness": 2.53, "instruction-following": 2.31, "safety": 4.89, "verbosity": 1.08, "verbosity-coeff": -0.2398 }

[ { "content": "A can do a piece of work in 16 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\n\n['A)18', 'B)77', 'C)66', 'D)55', 'E)12']", "role": "user", "uuid": "f2699c2d-2993-4e08-80d8-02a49d6b516a" }, { "content": "8/16 + 6/x = 1\nX = 12 days\nAnswer:E", "role": "assistant", "uuid": "a7d2d29b-5429-417a-a494-8ca97af5865b" } ]

{ "coherence": 2.74, "complexity": 0.82, "correctness": 2.04, "helpfulness": 2.16, "instruction-following": 2.84, "safety": 5.87, "verbosity": 0.22, "verbosity-coeff": -0.1234 }

[ { "content": "15 people went to a hotel for combine dinner party 10 of them spent Rs. 50 each on their dinner and rest spent 4 more than the average expenditure of all the 15. What was the total money spent by them.\n\n['A)1628.4', 'B)1534', 'C)780', 'D)1496', 'E)None of these']", "role": "user", "uuid": "fea20bf8-cafa-4734-bcf9-65126036e6fa" }, { "content": "Solution: Let average expenditure of 15 people be x.\nthen,\n15x = 10*50+5*(x+4);\nOr, 15x = 10*50+5x+20;\nOr, x = 52;\nSo, total money spent = 52*15 = Rs. 780.\nAnswer: Option C", "role": "assistant", "uuid": "12f566d8-3a78-4408-a1db-3e6ff53591aa" } ]

{ "coherence": 2.9, "complexity": 1.26, "correctness": 1.97, "helpfulness": 2.39, "instruction-following": 3.09, "safety": 6.1, "verbosity": 0.55, "verbosity-coeff": -0.1211 }

[ { "content": "Today Jennifer, who is 30 years old, and her daughter, who is 6 years old, celebrate their birthdays. How many years will pass before Jennifer’s age is twice her daughter’s age?\n\n['A)18', 'B)20', 'C)22', 'D)24', 'E)25']", "role": "user", "uuid": "3f3001d3-b88f-40c3-b38a-6c0da2dba908" }, { "content": "Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.\nAfter x years passes Jennifer’s age will be (30+x) years old, and her daughter’s age will be (6+x) years old. Since the Jennifer’s age is twice her daughter’s age (30+x)= 2 * (6+x) ---> 30+x=12+2x ---> x= 18.\nThe answer is (A).", "role": "assistant", "uuid": "2e64b4c9-71f2-424f-a7da-c0479d9559bf" } ]

{ "coherence": 3.21, "complexity": 1.61, "correctness": 3.21, "helpfulness": 2.98, "instruction-following": 3.21, "safety": 5.55, "verbosity": 1.31, "verbosity-coeff": -0.1746 }

[ { "content": "When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 70% of his regular speed, then\n\n['A)Jack picks double the amount of olives Mac picks', 'B)Mac picks 10 pounds more than Jack', 'C)Jack picks 10 pounds more than Mac', 'D)Mac picks 5 more pounds than Jack', 'E)Jack picks 5 more pounds than Mac']", "role": "user", "uuid": "6b293b8c-052d-4679-a622-66438a88476f" }, { "content": "Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr\nGiven:\n2*3J = 10 + 5*(4/5)M\n3J = 5 + 2M\nQuestion:if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed\nMac picks 2M and Jack picks 4*(3/4)J = 3J\nThey are asking you for the relation between 3J and 2M. You already know 3J = 5 + 2M\nSo Jack picks10 pounds more olives than Mac.\nC", "role": "assistant", "uuid": "a49934aa-6fbc-4b6d-aedf-ea991e9fe0b6" } ]

{ "coherence": 2.84, "complexity": 2.21, "correctness": 2.57, "helpfulness": 2.47, "instruction-following": 2.68, "safety": 4.7, "verbosity": 1.22, "verbosity-coeff": -0.1711 }

[ { "content": "If a^x = b^5y, then\n\n['A)log a/b= x/y', 'B)log a/ log b = x/y', 'C)log a/ log b = 5y/x', 'D)log b/a = x/y', 'E)log b/a = y/x']", "role": "user", "uuid": "4f8ae33f-052e-4683-996e-e606d04dd8e7" }, { "content": "a^x = b^5y => log a^x = log b^5y => x log a = 5y log b\n=> log a/ log b = 5y/x\nANSWER:C", "role": "assistant", "uuid": "07527e14-fb91-4b1a-9419-2935091ab3d3" } ]

{ "coherence": 3.25, "complexity": 2.53, "correctness": 2.96, "helpfulness": 2.88, "instruction-following": 3.43, "safety": 5.59, "verbosity": 1.35, "verbosity-coeff": -0.1182 }

[ { "content": "If x and y are positive integers, and x^3*y^4 = 648, which of the following is the value of xy?\n\n['A)2', 'B)4', 'C)6', 'D)8', 'E)10']", "role": "user", "uuid": "bf2e5fea-6cc9-43e2-94e5-60eac9275436" }, { "content": "648 = 2^3*3^4\nxy = 2*3 = 6\nThe answer is C.", "role": "assistant", "uuid": "e641da21-385c-4ac1-92b2-8d48f7cbda24" } ]

{ "coherence": 2.86, "complexity": 1.37, "correctness": 1.84, "helpfulness": 2.02, "instruction-following": 2.08, "safety": 4.77, "verbosity": 0.2, "verbosity-coeff": -0.1981 }

[ { "content": "30^10 / 240^5=?\n\n['A)6^5', 'B)(15/4)^5', 'C)3^6', 'D)6^3', 'E)15^3']", "role": "user", "uuid": "d34ab7d7-77cd-4a81-80a3-8e6b48683148" }, { "content": "30^10 / 240^5=?\nA. 6^5\nB. (15/4)^5\nC. 3^6\nD. 6^3\nE. 15^3\n-> 30^10 / 240^5=(30^10)/(8^5)(30^5)=(30^5)/(8^5)=(2^5)(15^5)/(2^5)(4^5)=(15/4)^5.\nThus, B is the answer.", "role": "assistant", "uuid": "eb513159-e17e-48bc-a7f3-caf3f37d69bb" } ]

{ "coherence": 3.37, "complexity": 2.23, "correctness": 2.96, "helpfulness": 3.04, "instruction-following": 3.35, "safety": 4.7, "verbosity": 1.66, "verbosity-coeff": -0.1824 }

[ { "content": "How many positive integers will divide evenly into 440?\n\n['A)8', 'B)12', 'C)16', 'D)18', 'E)20']", "role": "user", "uuid": "3ccd5612-acfd-47b6-86d7-a5f687515f16" }, { "content": "520 = 10*13*4 = 8*5*13 = 2^3*5*13\nWe need to positive integers will divide evenly into 520 or simply the factors of 520\nIf a number is of the form 2^a*3^b*5^c,\nTotal factors = (a+1)(b+1)(c+1)\nTherefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 18\nOption D", "role": "assistant", "uuid": "48b03efa-88d5-4113-a380-489521f2ba91" } ]

{ "coherence": 2.18, "complexity": 1.78, "correctness": 1.49, "helpfulness": 1.48, "instruction-following": 1.59, "safety": 5.91, "verbosity": 1.14, "verbosity-coeff": -0.2009 }