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AlignmentLab-AI

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Alignment Lab Ai 38

[ { "value": "What should come in place of the question mark (?) in the following equation?\\n5679 + 1438 – 2015 = ?\\nOptions:\\n(A) 5192\\n(B) 5012\\n(C) 5102\\n(D) 5002\\n(E) None of these Let's think first. Stream of consciousness:", "from": "human" }, { "value": "? = 5679 + 1438 – 2015 = 5102\nSo, the answer is (C).", "from": "gpt" } ]

[ { "value": "Student: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $237 for it, the cost price of the Cricket Bat for A is:\\nOptions:\\n(A) 150\\n(B) 120\\n(C) 158\\n(D) 160\\n(E) 210.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "125% of 120% of A = 237\\n125/100 * 120/100 * A = 237\\nA = 237 * 2/3 = 158. Final answer: (C).", "from": "gpt" } ]

[ { "value": "If n is an integer, then the least possible value of |35 - 6n| is?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 5\\n(D) 0\\n(E) 1 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "|35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1. The answer: (E).", "from": "gpt" } ]

[ { "value": "Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10 (B + G) is ?\\nOptions:\\n(A) Equal to 3\\n(B) Less than 3\\n(C) More than 3\\n(D) Less than 1/3\\n(E) none of these Random thoughts:", "from": "human" }, { "value": "Let number of boys = x\\nLet number of girls = y\\nTherefore x/y = B and y/x = G\\n10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10 The final answer: (E).", "from": "gpt" } ]

[ { "value": "Rita can knit a pair of socks in 3 days. Sita can knit the same in 6 days. If they are knitting together, in how many days will they knit two pairs of socks.\\nOptions:\\n(A) 4\\n(B) 1\\n(C) 2\\n(D) 5\\n(E) 6 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "1 /3+ 1/6 = 1 /2 Together they will take, 1/ 1/2 = 2\nSo, the answer is (C).", "from": "gpt" } ]

[ { "value": "Q: A can do a piece of work in 14 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?\\nOptions:\\n(A) 18\\n(B) 77\\n(C) 66\\n(D) 55\\n(E) 14 Let's give some random thoughts before answering.", "from": "human" }, { "value": "8/14 + 6/x = 1\\nX = 14 days\nTherefore, the answer is (E).", "from": "gpt" } ]

[ { "value": "30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 18\\n(D) 13\\n(E) 14 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (690 – 150) = 540\\n∴ Average price of a pen = 540⁄60 = 18\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Thirty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $50 million from its orange exports, how much money does it generate from its yearly total of exports?\\nOptions:\\n(A) $1000m\\n(B) $25.5m\\n(C) $106.25m\\n(D) $127.5m\\n(E) $153m Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "30/100*1/6*(total) = 50\\n1/20*(total) = 50\\n(total) = 50*20 = 1000 So the answer is (A).", "from": "gpt" } ]

[ { "value": "Dawson earns $100 a week from his job. His income increased and now makes $110 a week. What is the percent increase?\\nOptions:\\n(A) 5%\\n(B) 10%\\n(C) 15%\\n(D) 20%\\n(E) 25% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Increase = (10/100)*100 = (1/10)*100 = 10%.\nSo, the answer is (B).", "from": "gpt" } ]

[ { "value": "Q: A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?\\nOptions:\\n(A) 11\\n(B) 10\\n(C) 9\\n(D) 8\\n(E) 7 Let's give some random thoughts before answering.", "from": "human" }, { "value": "221 + 43 = 264/17 = 9 (Remainder)\nTherefore, the answer is (C).", "from": "gpt" } ]

[ { "value": "Q: During a sale, the price of a pair of shoes is marked down 12% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\\nOptions:\\n(A) 9%\\n(B) 10%\\n(C) 11%\\n(D) 14%\\n(E) 90% Let's give some random thoughts before answering.", "from": "human" }, { "value": "Assume the price = 100\\nPrice during sale = 88\\nPrice after sale = 100\\nPercent increase = 12/88*100 = 14% approx.\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "he population of a city is 150,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\\nOptions:\\n(A) 1697787\\n(B) 1697723\\n(C) 168540\\n(D) 169728\\n(E) 169718 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Population after n years = P [1 + (R/100)]2\\nPopulation after 2 years = 150000 * [1 + 6/100]2 = (150000 x 53/50 x 53/50) = 168540\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "John makes $60 a week from his job. He earns a raise andnow makes $84 a week. What is the % increase?\\nOptions:\\n(A) 16.12%\\n(B) 16.66%\\n(C) 16.56%\\n(D) 40%\\n(E) 18.1% Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Increase = (24/60)*100 = (4/10)*100 = 40%.\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Three grades of milk are 1 percent, 5 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 5 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 7 percent grade, what is x in terms of y and z?\\nOptions:\\n(A) -1y - 2z\\n(B) (y +z) / 4\\n(C) 2y + 3z\\n(D) 3y + z\\n(E) 3y + 4.5z Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Based on the given information, the following equation could be dervied: 1% * x + 5% * y + 3% * z = 7% * (x+y+z)\\nThen use algebra to figure out 6%*x = -2%*y - 4%*z. Thus, 3x = -1y - 2z. So, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. Some persons can do a piece of work in 24 days. Two times the number of these people will do half of that work in?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8", "from": "human" }, { "value": "24/ (2 * 2) = 6 days\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. Four of the following five parts (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\\nOptions:\\n(A) 30 × 14 ÷ 7 × 5\\n(B) 10 3 – 100 × 7\\n(C) 5√3600\\n(D) 450 ÷ 50 × 50 – 5 × 30\\n(E) 10 × 3 + 120 × 2", "from": "human" }, { "value": "Other parts are equal to 300.\nThe answer: (E).", "from": "gpt" } ]

[ { "value": "Divide Rs.32000 in the ratio 3:5?\\nOptions:\\n(A) 12000,20000\\n(B) 12000,20092\\n(C) 12000,20029\\n(D) 12000,20007\\n(E) 12000,20001 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "3/8 * 32000 = 12000\\n5/8 * 32000 = 20000 So the answer is (A).", "from": "gpt" } ]

[ { "value": "An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 6 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 160\\n(E) 180 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "5C2 * 4C2 * 3C2 = 10*6*3 = 180.\nSo, the answer is (E).", "from": "gpt" } ]

[ { "value": "Question: How many digits are in the number 50^8 × 8^3 × 11?\\nOptions:\\n(A) 18\\n(B) 20\\n(C) 19\\n(D) 22\\n(E) 17 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\\n50^8 × 8^3 × 11 = (5^2*2)^8*2^9*11 = 5^16*2^17*11 = 2*11*10^16 = 22*10^16\\nHence we would have 16 trailing 0's and the three digits from 22\\nTotal digits = 2 + 16 = 18 The final answer: (A).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 3:5\\n(B) 4:5\\n(C) 2:5\\n(D) 2:4\\n(E) 2:7", "from": "human" }, { "value": "T = 160/32 = 5 h\\nT = 5 - 3 = 2\\nTime Ratio = 5:2\\nSpeed Ratio = 2:5\nThe answer: (C).", "from": "gpt" } ]

[ { "value": "Question: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 3 (B + G) is ?\\nOptions:\\n(A) Equal to 3\\n(B) Less than 3\\n(C) More than 3\\n(D) Less than 1/3\\n(E) none of these Random thoughts:", "from": "human" }, { "value": "Let number of boys = x\\nLet number of girls = y\\nTherefore x/y = B and y/x = G\\n3(B + G) = 3[(x/y) + (y/x)] = 3[(x2 + y2)/xy] > 3 The final answer: (C).", "from": "gpt" } ]

[ { "value": "If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/9 %\\n(B) 22 2/2 %\\n(C) 23 1/2 %\\n(D) 22 1/2 %\\n(E) 62 1/2 % Hmmm, my stream of consciousness:", "from": "human" }, { "value": "9 = (1*40*R)/100\\nR = 22 1/2 % So, the answer is (D).", "from": "gpt" } ]

[ { "value": "Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?\\nOptions:\\n(A) 11 days\\n(B) 9 days\\n(C) 8 days\\n(D) 12 days\\n(E) 10 days Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "1/15 + 1/30 = 3/30\\n10/1 = 10 days\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Find the largest 3 digit number which is exactly divisible by 88?\\nOptions:\\n(A) 765\\n(B) 907\\n(C) 944\\n(D) 954\\n(E) 968 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Largest 3 digit number is 999\\nAfter doing 999 ÷ 88 we get remainder 31\\nHence largest 3 digit number exactly divisible by 88 = 999 - 31 = 968\nSo, the answer is (E).", "from": "gpt" } ]

[ { "value": "Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\\nOptions:\\n(A) 23\\n(B) 35\\n(C) 40\\n(D) 45\\n(E) 67 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.\nSo, the answer is (C).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. If 4⁄9 of 3⁄10 of 5⁄8 of a number is 45, what is the number?\\nOptions:\\n(A) 450\\n(B) 550\\n(C) 560\\n(D) 650\\n(E) None of these", "from": "human" }, { "value": "Number = 45×9×10×8/4×3×5⇒540\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Find the area of a parallelogram with base 24 cm and height 16 cm.\\nOptions:\\n(A) 262 cm2\\n(B) 384 cm2\\n(C) 192 cm2\\n(D) 131 cm2\\n(E) None of these Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Area of a parallelogram = base * height = 24 * 16 = 384 cm2\nSo, the answer is (B).", "from": "gpt" } ]

[ { "value": "Q: What will come in place of the x in the following number series? 12, 26, 54, 110, 222, x\\nOptions:\\n(A) 444\\n(B) 446\\n(C) 448\\n(D) 452\\n(E) 454 Let's give some random thoughts before answering.", "from": "human" }, { "value": "12\\n12 × 2 + 2 = 26\\n26 × 2 + 2 = 54\\n54 × 2 + 2 = 110\\n110 × 2 + 2 = 222\\n222 × 2 + 2 = 446\nTherefore, the answer is (B).", "from": "gpt" } ]

[ { "value": "Some question: P and Q invested in a shop. The profits were divided in the ratio of 4 : 6 respectively. If P invested Rs. 55,000, the amount invested by Q is:\\nOptions:\\n(A) 48000\\n(B) 40000\\n(C) 35000\\n(D) 60000\\n(E) None\nSome stream of consciousness:", "from": "human" }, { "value": "Suppose Q invested Rs. y. Then, 50000/y = 4/6 or y = [50000 x 6/ 4] = 75000. The answer: (E).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?\\nOptions:\\n(A) 4 1/3 hrs\\n(B) 7 hrs\\n(C) 8 hrs\\n(D) 14 hrs\\n(E) 15 hrs", "from": "human" }, { "value": "Work done by the tank in 1 hour = (1/2 - 1/3) = 1/14 Leak will empty the tank in 14 hrs.\nThe answer: (D).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. Find the smallest number which should be multiplied with 13225 to make it a perfect square.\\nOptions:\\n(A) 25\\n(B) 5\\n(C) 1\\n(D) 23\\n(E) 6", "from": "human" }, { "value": "13225 = 5*5*23*23\\nRequired smallest number = 1\\n1 is the smallest number which should be multiplied with 13225 to make it a perfect square.\nThe answer: (C).", "from": "gpt" } ]

[ { "value": "How long does a train 110 m long traveling at 72 kmph takes to cross a bridge of 170 m in length?\\nOptions:\\n(A) 16.5\\n(B) 16.0\\n(C) 16.4\\n(D) 14\\n(E) 16.1 Stream of consciousness:", "from": "human" }, { "value": "D = 110 + 170 = 280 m\\nS = 72 * 5/18 = 20\\nT = 280 * 1/20 = 14 sec\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "There are 5 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\\nOptions:\\n(A) 90\\n(B) 120\\n(C) 150\\n(D) 180\\n(E) 200 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Number of ways of selecting 2 fiction books = 5C2\\nNumber of ways of selecting 2 non fiction books = 6C2\\n5C2 * 6C2 = 10 * 15 = 150 So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?\\nOptions:\\n(A) 3 days\\n(B) 6 days\\n(C) 8 days\\n(D) 4 days\\n(E) 9 days Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "12/ (2 * 2) = 3 days\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 6 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\\nOptions:\\n(A) 1.\\n(B) 2.\\n(C) 3.\\n(D) 4.\\n(E) 5. Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Total boxes = 23\\nFilled with toys = 16\\nFilled with appliance = 7\\nTotal boxes for sale = 8\\nToy boxes for sale = 6\\nAppliance boxes for sale = 2\\nAppliance boxes not for sale = 7 - 2 = 5 So, the answer is (E).", "from": "gpt" } ]

[ { "value": "189. The inside dimensions of a rectangular wooden box\\nare 8 inches by 10 inches by 12 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?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8 Stream of consciousness:", "from": "human" }, { "value": "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 12x10 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 10, so the radius will be 5.\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "If sushi rows 27 km upstream and 81 km down steam taking 9 hours each, then the speed of the stream\\nOptions:\\n(A) 12 kmph\\n(B) 13 kmph\\n(C) 22 kmph\\n(D) 20 kmph\\n(E) 15 kmph Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Speed upstream = 27/9 = 3 kmph\\nSpeed down stream = 81/3 = 27 kmph\\nSpeed of stream = ½ (27-3) = 12 kmph\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "A card shop contains 10 birthday cards, 10 holiday cards, and 9 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be of the same type?\\nOptions:\\n(A) 3/29\\n(B) 12/58\\n(C) 12/840\\n(D) 7/841\\n(E) 12/841 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "It doesn't matter which type of card you choose, so:\\nProbability of choosing 1st card: 1\\nProbability of choosing 2nd card of the same type: 4/29\\nProbability of choosing 3rd card of the same type: 3/29\\nMultiply and you get 12/841 So the answer is (E).", "from": "gpt" } ]

[ { "value": "K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 550?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 15 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "550 = 2*222 + (22*4) + 9*2\\nK weight of 600 = 2 +4+9 = 15 The answer: (E).", "from": "gpt" } ]

[ { "value": "Some question: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?\\nOptions:\\n(A) 1/8\\n(B) 1/4\\n(C) 1/16\\n(D) 1/2\\n(E) 1/32\nSome stream of consciousness:", "from": "human" }, { "value": "Must be either 4 tails or 4 heads\\n1/2*1/2*1/2*1/2+1/2*1/2*1/2*1/2\\n1/16 + 1/16 = 1/8 The answer: (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. If in the word 'DISTURBANCE', the first letter is interchanged with the last letter, the second letter is interchanged with the tenth letter and so on, which letter would come after the letter T in the newly formed word ?\\nOptions:\\n(A) S\\n(B) C\\n(C) T\\n(D) R\\n(E) U", "from": "human" }, { "value": "The new letter sequence is E C N A B R U T S I D\\nClearly, S comes after T\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. From the set of numbers x, y, t, z, p, q, r and w, how many different combinations can we have without the t,p,q and r in them? Ex:. (x,y), (x), (w,z,y,x), etc and (x,y)=(y,x)\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 15\\n(D) 16\\n(E) 30", "from": "human" }, { "value": "Another way: Any letter (x, y, z, w) can be included or not. So, we have 2^4 combinations - 4 empty combination = 12 combinations So the final answer is (B).", "from": "gpt" } ]

[ { "value": "A woman has 4 shirts, 5 pants and 2 belts. How many different clothing combinations can she wear?\\nOptions:\\n(A) 11\\n(B) 20\\n(C) 40\\n(D) 60\\n(E) 4 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "4 shirts x 5 pants x 2 belts = 40 The answer: (C).", "from": "gpt" } ]

[ { "value": "Student: A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 6\\n(D) 7\\n(E) 10.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "420/10 = 42 The difference is 42 - 35 = 7. Final answer: (D).", "from": "gpt" } ]

[ { "value": "Question: Amanda sees a sale for 30% off all items, she sees a dress on sale that originally cost $50. How much will it cost Amanda to buy the dress after the sale amount of 30% has been take off?\\nOptions:\\n(A) $40\\n(B) $35\\n(C) $50\\n(D) $65\\n(E) $15 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Final number = original number - 30%(original number) = 50 - 30%(50) = 50 - 15 = $35. The final answer: (B).", "from": "gpt" } ]

[ { "value": "Question: Scott's average (arithmetic mean) golf score on his first four rounds was 28.What score does he need on his fifth round to drop his average score by 2 points?\\nOptions:\\n(A) 18\\n(B) 72\\n(C) 78\\n(D) 88\\n(E) 312 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Average score for first 4 rounds = 28\\nAverage score after 5 rounds = 26\\nScore Scott needs on his 5th round to drop average score by 2 points = 28 - (2*5) = 18 The final answer: (A).", "from": "gpt" } ]

[ { "value": "If 2^4, 2^3, and 11^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\\nOptions:\\n(A) 176\\n(B) 288\\n(C) 363\\n(D) 396\\n(E) 484 Stream of consciousness:", "from": "human" }, { "value": "I will go with A (pending elements to match is 2^2*2^2*11^1 = 176\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. M is 30% of Q, Q is 20% of P and N is 50% of P. What is M / N\\nOptions:\\n(A) 3/28\\n(B) 3/27\\n(C) 3/21\\n(D) 3/22\\n(E) 3/25", "from": "human" }, { "value": "Take P = 100, then N = 50, Q = 20, M = 6. So M/N = 3/25\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Question: The floor of a rectangular room is 20 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 144 m2\\n(B) 120 m2\\n(C) 108 m2\\n(D) 158 m2\\n(E) None of these Let's think first. Some random reasoning:", "from": "human" }, { "value": "Area of the outer rectangle = 24 × 16 = 384 m2\\nArea of the inner rectangle = 20 × 12 = 240 m2\\nRequired area = (304 – 180) = 144 m2 The final answer: (A).", "from": "gpt" } ]

[ { "value": "Student: Find the odd man out? 3, 7, 15, 17, 22, 27, 29\\nOptions:\\n(A) 15\\n(B) 17\\n(C) 22\\n(D) 27\\n(E) 0.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Each of the numbers is odd number except 22. The number 22 is the only even number. Final answer: (C).", "from": "gpt" } ]

[ { "value": "John makes $60 a week from his job. He earns a raise andnow makes $72 a week. What is the % increase?\\nOptions:\\n(A) 20%\\n(B) 16.66%\\n(C) 16.56%\\n(D) 17.66%\\n(E) 18.1% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Increase = (12/60)*100 = (1/5)*100 = 20%.\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "What should come in place of the question mark (?) in the following equation?\\n5978 + 6134 + 7014 = ?\\nOptions:\\n(A) 19226\\n(B) 16226\\n(C) 19216\\n(D) 19126\\n(E) None of these Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "? = 5978 + 6134 + 7014 = 19126 So the answer is (D).", "from": "gpt" } ]

[ { "value": "1,2,2,4,8,32,?(mult)\\nOptions:\\n(A) 2816\\n(B) 1816\\n(C) 2812\\n(D) 2817\\n(E) 6816 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Each number is the product of the previous two numbers, ie 8*32 = 2816.\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 11\\n(E) 10", "from": "human" }, { "value": "The total of seven numbers = 7X9 = 63\\nThe total of first 3 and last 3 numbers is = 3 X 7+3 X 11 = 54\\nSo, the middle number is (63 - 54 ) = 9\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "If n is a natural number, then (6n^2 + 6n) is always divisible by\\nOptions:\\n(A) 6 only\\n(B) 6 and 12 both\\n(C) 12 only\\n(D) 18 only\\n(E) 12 and 18 both Stream of consciousness:", "from": "human" }, { "value": "(6n^2 + 6n) = 6n(n + 1), which is divisible by both 6 and 12, since n(n+1) is always even.\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "In a certain parking lot, 3% of the cars are towed for parking illegally. However 80% of the cars which are parked illegally are not towed. What % of cars in the parking lot are parked illegally.'\\nOptions:\\n(A) 11\\n(B) 13\\n(C) 15\\n(D) 60\\n(E) 75 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "So Total no. of cars parked illegally: 300\\nTotal no. of cars: 2000\\n300/2000*100, So 15% So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. If, when the two parties of knights encounter one another after a month, exactly one knight changes from one travelling party to the other travelling party, that knight must be\\nOptions:\\n(A) P\\n(B) Q\\n(C) R\\n(D) S\\n(E) T", "from": "human" }, { "value": "Q because Q always have to travel in northern route\nThe answer: (B).", "from": "gpt" } ]

[ { "value": "Rohith,who works in a parcel service, has a certain number of small plastic boxes to pack into parcels. If he packs 3,4,5 or 6 in a parcel, he is left with one over; if he packs 7 in a parcel, none is left over. What is the number of boxes, he may have to pack?\\nOptions:\\n(A) 223\\n(B) 301\\n(C) 377\\n(D) 1368\\n(E) 222 Stream of consciousness:", "from": "human" }, { "value": "The required number of boxes is such that it leaves a remainder of 1 when divided by 3, 4, 5 or 6 and no remainder of 1 when divided by 3, 4, 5 or 6 and no remainder when divided by 7. Such a number is 301.\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "How much is 35% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 29\\n(B) 776\\n(C) 66\\n(D) 14\\n(E) 99 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "(80/100) * 40 – (4/5) * 25\\n35 - 20 = 14 So, the answer is (D).", "from": "gpt" } ]

[ { "value": "There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?\\nA. 17 B. 29 C. 23 D. 31\\nOptions:\\n(A) 17\\n(B) 29\\n(C) 23\\n(D) 31\\n(E) 33 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(7429/12673) = 17/29 Fourth Number is 29\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?\\nOptions:\\n(A) 30\\n(B) 10\\n(C) 15\\n(D) 20\\n(E) 0", "from": "human" }, { "value": "Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: In a boat 25 persons were sitting. Their average weight increased one kilogram when One man goes and a new man comes in. The weight of the new man is 70kgs. Find the Weight of the man who is going ?\\nOptions:\\n(A) 45\\n(B) 66\\n(C) 44\\n(D) 33\\n(E) 61\nSome stream of consciousness:", "from": "human" }, { "value": "Weight increased per person is 1 kg. Total increase in weight = 25 kgs Weight of new man is 70 kgs, (Which means his weight is 25 kgs heavier) The weight of the old man was 70 – 25 = 45 kgs The answer: (A).", "from": "gpt" } ]

[ { "value": "A certain car uses 12 gallons of gasoline in traveling 120 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 6\\n(D) 8\\n(E) 10 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "120/10 = 12. The difference is 12- 10 = 2.\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. How long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?\\nOptions:\\n(A) 18\\n(B) 16\\n(C) 15\\n(D) 11\\n(E) 12", "from": "human" }, { "value": "D = 100 + 150 = 250 m\\nS = 50 * 5/18 = 125/9\\nT = 250 * 9/125 = 18 sec\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "The floor of a rectangular room is 17 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 124 m2\\n(B) 132 m2\\n(C) 148 m2\\n(D) 152 m2\\n(E) None of these Stream of consciousness:", "from": "human" }, { "value": "Area of the outer rectangle = 21 × 16 = 336 m2\\nArea of the inner rectangle = 17 × 12 = 204 m2\\nRequired area = (336 – 204) = 132 m2\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "What is the are of an equilateral triangle of side 8 cm?\\nOptions:\\n(A) 64√5\\n(B) 64√9\\n(C) 16√3\\n(D) 64√3\\n(E) 64√2 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 8, Area of triangle = √3/4 * 8 * 8 = 16√3 cm2;\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "In a school of 850 boys, 34% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) A) 125\\n(B) B) 627\\n(C) C) 153\\n(D) D) 238\\n(E) E) 159 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "34 + 28 + 10 = 72%\\n100 – 72 = 28%\\n850 * 28/100 = 238\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "The average of first 10 odd numbers is?\\nOptions:\\n(A) 11\\n(B) 10\\n(C) 19\\n(D) 16\\n(E) 13 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Sum of 10 odd no. = 100\\nAverage = 100/10 = 10 The answer: (B).", "from": "gpt" } ]

[ { "value": "Student: 10, 14, 16, 18, 21, 24, 26\\nOptions:\\n(A) 17\\n(B) 20\\n(C) 21\\n(D) 25\\n(E) 26.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Each of the numbers except 21 is an even number Final answer: (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. Which of the following is a prime number ?\\nOptions:\\n(A) 33\\n(B) 81\\n(C) 97\\n(D) 93\\n(E) none", "from": "human" }, { "value": "Clearly, 97 is a prime number So the final answer is (C).", "from": "gpt" } ]

[ { "value": "The average of 13 numbers is 58. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\\nOptions:\\n(A) 72\\n(B) 83\\n(C) 45\\n(D) 53\\n(E) 64 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Sum of all the 13 numbers = 13 * 58 = 754\\nSum of the first 7 of them = 7 * 57 = 399\\nSum of the last 7 of them = 7 * 61 = 427\\nSo, the 8th number = 427 + 399 - 754 = 72.\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Question: ELFA, GLHA, ILJA, _____, MLNA\\nOptions:\\n(A) IOH\\n(B) HTY\\n(C) YOU\\n(D) FLQ\\n(E) KLLA Let's think first. Some random reasoning:", "from": "human" }, { "value": "The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter The final answer: (E).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.154. Find the unknown rate of two blankets?\\nOptions:\\n(A) 420\\n(B) 550\\n(C) 490\\n(D) 450\\n(E) 457", "from": "human" }, { "value": "10 * 154 = 1540\\n3 * 100 + 5 * 150 = 1050\\n1540 – 1050 = 490\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "A man purchased 2 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\\nOptions:\\n(A) 278\\n(B) 277\\n(C) 278\\n(D) 450\\n(E) 550 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "10 * 150 = 1500\\n2 * 100 + 5 * 150 = 950\\n1500 – 1050 = 550 So, the answer is (E).", "from": "gpt" } ]

[ { "value": "Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 900 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\\nOptions:\\n(A) 8/3\\n(B) 3/8\\n(C) 8/5\\n(D) 4/1\\n(E) 5/3 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Distance traveled by Eddy = 900 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 900/3 = 300 km/hour\\nDistance traveled by Freddy = 300 km\\nTime taken by Freddy = 4 hours\\nAverage speed of Freddy = 300/4 = 75 km/hour\\nRatio of average speed of Eddy to Freddy = 300/75 = 4/1\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "How many positive integers less than 500 can be formed using the numbers 1,2,3,and 5 for digits, each digit being used only once.\\nOptions:\\n(A) 22\\n(B) 34\\n(C) 73\\n(D) 26\\n(E) 11 Stream of consciousness:", "from": "human" }, { "value": "Single digit numbers = 4\\nDouble digit numbers = 4 x 3 = 12\\nThree digit numbers = 3 x 3 x 2 x 1 = 18\\nTotal = 34\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina\\nOptions:\\n(A) 5/56\\n(B) 9/56\\n(C) 28/120\\n(D) 21/56\\n(E) 25/56 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Number of ways of selecting 3 people out of 10 people = 10C3\\nIn the three members George will always be there in the team. At this step we have vacancy for 2 more members and 9 members are available. Lina cannot be there in the team. So 2 members have to be selected and the number of available members = 9 - Nina = 8\\nNumber of ways to form a 3 member team that includes George and excludes Nina = 8C2\\nProbability = 8C2/10C3 = 28/120 So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. What percent is 150 of 90?\\nOptions:\\n(A) 133 1/3 %\\n(B) 166 2/3 %\\n(C) 135 1/3 %\\n(D) 140 1/3 %\\n(E) 143 1/3 %", "from": "human" }, { "value": "150/90 = 5/3\\n5/3 × 100 = 500/3 = 166 2/3 % So the final answer is (B).", "from": "gpt" } ]

[ { "value": "Student: Anitha had 80 currency notes in all, some of which are of Rs 95 denomination and the remaining of Rs 45 denomination. The total amount of all these currency notes was Rs. 4000. How much amount (in Rs) did she have in the denomination of Rs 45?\\nOptions:\\n(A) 3500\\n(B) 72\\n(C) 2000\\n(D) 3000\\n(E) 4000.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Let the number of 45-rupee notes = x\\nThen, the number of 95-rupee notes = (80 – x)\\n45x + 95(80 – x) = 4000 or x + 2(80 – x) = 95 or x = 72. Final answer: (B).", "from": "gpt" } ]

[ { "value": "The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?\\nOptions:\\n(A) 20\\n(B) 22\\n(C) 18\\n(D) 19\\n(E) 21 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "The total of seven numbers = 7X21 = 147\\nThe total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126\\nSo, the middle number is (147 - 126 ) = 21\nSo, the answer is (E).", "from": "gpt" } ]

[ { "value": "There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?\\nOptions:\\n(A) 5\\n(B) 7\\n(C) 11\\n(D) 13\\n(E) 15 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "(385/1001) = 5/13 First Number is 5 The answer: (A).", "from": "gpt" } ]

[ { "value": "Some question: Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?\\nOptions:\\n(A) A16\\n(B) G4\\n(C) E4\\n(D) E3\\n(E) F2\nSome stream of consciousness:", "from": "human" }, { "value": "Answer: Option C\\nThe letters decrease by 1; the numbers are multiplied by 2. The answer: (C).", "from": "gpt" } ]

[ { "value": "In what time a sum of money double itself at 6% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 33 1/3%\\n(C) 83 1/3%\\n(D) 33 4/3%\\n(E) 16 2/3% Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "P = (P*6*R)/100\\nR = 16 2/3%\nThus, the answer is (E).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?\\nOptions:\\n(A) 70, 10 kmph\\n(B) 35, 27 kmph\\n(C) 50, 60 kmph\\n(D) 80, 20 kmph\\n(E) 45, 65 kmph", "from": "human" }, { "value": "Speed of the boat in still water = (60+100)/2 = 80 kmph. Speed of the stream = (100-60)/2 = 20 kmph So the final answer is (D).", "from": "gpt" } ]

[ { "value": "The edge of a cube is 3a cm. Find its surface?\\nOptions:\\n(A) 24a8\\n(B) 24a4\\n(C) 24a1\\n(D) 54a2\\n(E) 24a7 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "6a2 = 6 * 3a * 3a = 54a2\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "In a bag there are 3 Snicker's bars and 2 Milky Way bars. What is the probability of choosing at least one Snickers when choosing two consecutive candy bars randomly?\\nOptions:\\n(A) 9/10\\n(B) 16/20\\n(C) 2/5\\n(D) 3/5\\n(E) ½ Hmmm, my stream of consciousness:", "from": "human" }, { "value": "P(at least one Snicker's Bar) = 1 - P(no Snicker's Bar, so 2 Milky Way Bars) = 1- 2/5*1/4 = 9/10. So, the answer is (A).", "from": "gpt" } ]

[ { "value": "A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?\\nOptions:\\n(A) 1/4\\n(B) 1/6\\n(C) 1/10\\n(D) 1/20\\n(E) 1/50 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "If the last digit is 0, 2, 4, 6, or 8, the number is even and therefore not prime. If the last digit is 5, the number is divisible by 5 and therefore not prime. The only possibilities are 1, 3, 7, and 9. So the probability is approximately 1/4 (answer A). We say approximately because there is a certain degree of randomness in the distribution of prime numbers. So, the answer is (A).", "from": "gpt" } ]

[ { "value": "How many factors does 35^2 have?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 24\\n(D) 25\\n(E) 26 Stream of consciousness:", "from": "human" }, { "value": "36^2 = 6*6*6*6 = 2^4*3^4\\nTotal factors = (4+1)*(4+1) = 6*4 = 24\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "A car has a 20-gallon fuel to travel 500 miles.At this rate, how many gallons of fuel are needed for a 1000 mile car ?\\nOptions:\\n(A) 10\\n(B) 30\\n(C) 20\\n(D) 40\\n(E) 50 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Number of gallons of fuel per mile = 500 /20 = 25 gallons per mile\\nNumber of gallons of fuel for a 1000 mile car = 1000/25 = 40\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A man can buy a new house in 4 years with all of his earnings. But he spend the same amount in household expenses in 8 years and for savings in 12 years. How many time needed for buying the house?\\nOptions:\\n(A) 12\\n(B) 20\\n(C) 30\\n(D) 15\\n(E) 24", "from": "human" }, { "value": "His savings in 1 year = 1/4 - (1/8+ 1/12) = 1/24\\nHe can buy a new house in 24 years\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Question: Find the third proportional to 2 and 8?\\nOptions:\\n(A) 10\\n(B) 32\\n(C) 36\\n(D) 19\\n(E) 20 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Formula = Third proportional = (b × b)/a\\nA = 2 and B = 8\\n(8 x 8 )/ 2 = 64/2 = 32 The final answer: (B).", "from": "gpt" } ]

[ { "value": "If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?\\nOptions:\\n(A) 125 m\\n(B) 104 m\\n(C) 140 m\\n(D) 152 m\\n(E) 150 m Stream of consciousness:", "from": "human" }, { "value": "D = 90 * 5/18 * 5 = 125 m\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. How many numbers between 101 and 250, exclusive are divisible by three?\\nOptions:\\n(A) 34\\n(B) 41\\n(C) 50\\n(D) 83\\n(E) 148", "from": "human" }, { "value": "Numbers upto 250 divisible by 3 is 250/3 = 83\\nNumbers upto 101 divisible by 3 is 101/3 = 33\\nTotal number of numbers between 101 and 250 that are divisible by 3 is 83 - 33 = 50\nThe answer: (C).", "from": "gpt" } ]

[ { "value": "Solve:-\\n111 x 111 x 111 + 555 x 555 x 555 = ?(111 x 111 - 111 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 666\\n(C) 555\\n(D) 988\\n(E) 889 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Given Exp. = (a3 + b3) = (a + b) = (111 + 555) = 666 (a2 - ab + b2)\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. If 17m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\\nOptions:\\n(A) 2m −1\\n(B) 4m\\n(C) 6m\\n(D) m/5\\n(E) 6m/5", "from": "human" }, { "value": "17m - n = p\\nAdd n to both sides:\\n17m = n + p\\nAdd m to both sides:\\n18m = n + p + m\\nNow, divide both sides by 3\\n6m = (n + p + m)/3 = the average of n, p, and m So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 120 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 6 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 110 miles\\n(D) 120 miles\\n(E) 400 miles Let's give some random thoughts before answering.", "from": "human" }, { "value": "Answer = C. 110 miles\\nRelational speed = 120 - 100 = 20 miles per hour\\nIn 4 hours, difference = 20 * 4 = 120 miles\\nFast train trailing 10 miles, so effective difference = 120 - 10 = 110 miles\nTherefore, the answer is (C).", "from": "gpt" } ]

[ { "value": "What will come in place of the x in the following Number series? 2, 7, 32, 157, 782, x\\nOptions:\\n(A) 3707\\n(B) 3790\\n(C) 3910\\n(D) 3907\\n(E) 3970 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "2\\n2 x 5 - 3 = 7\\n7 x 5 - 3 = 32\\n32 x 5 - 3 = 157\\n157 x 5 - 3 = 782\\n782 x 5 - 3 = 3907\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: A Train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long. Find the speed of the train.\\nOptions:\\n(A) 144 kmph\\n(B) 124 kmph\\n(C) 134 kmph\\n(D) 150 kmph\\n(E) 160 kmph Random thoughts:", "from": "human" }, { "value": "In 8s the train crosses the pole and in 18 sec the train crosses one more stationary train\\nIn 10 sec the train travels a distance of 400 mtrs\\nSpeed = 400/10 = 40 m/s = 40 (3600/1000) = 40 * 18/5 = 144 kmph The final answer: (A).", "from": "gpt" } ]

[ { "value": "If the personal income tax rate is lowered from 42% to 28%, what is the differential savings for a tax payer having an annual income before tax to the tune of $34500?\\nOptions:\\n(A) $3500\\n(B) $5000\\n(C) $4830\\n(D) $7000\\n(E) $10000 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Saving = (42-28)% of 34500 = 4830.\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\\nOptions:\\n(A) 41\\n(B) 43\\n(C) 31\\n(D) 84\\n(E) 81 Stream of consciousness:", "from": "human" }, { "value": "(1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12\\nWork done by 1 man and 1 women in 1/4 day = ((7/12) x (1/4)) = 7/48\\nRemaining work = 1 - 7/48 = 41/48\\nWork done by 1 boy in 1/4 day = ((1/12) x (1/4)) = 1/48\\nTherefore, Number of boys required = ((41/48) x 48) = 41\nThus, the answer is (A).", "from": "gpt" } ]