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AlignmentLab-AI

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Alignment Lab Ai 38

[ { "value": "Give stream of consciousness and then the final answer. A train 310 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\\nOptions:\\n(A) 40 sec\\n(B) 50 sec\\n(C) 44 sec\\n(D) 36 sec\\n(E) 60 sec", "from": "human" }, { "value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 310 + 140 = 450 m\\nRequired time = 450 * 2/25 = 36 sec\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Question: How much is 25% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 10\\n(B) 776\\n(C) 66\\n(D) 12\\n(E) 99 Let's think first. Some random reasoning:", "from": "human" }, { "value": "(25/100) * 40 – (4/5) * 25\\n10 - 20 = 10 The final answer: (A).", "from": "gpt" } ]

[ { "value": "In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\\nLook at this series: 88, 3, 80, 12, __, 21 ... What number is missing?\\nOptions:\\n(A) 72\\n(B) 78\\n(C) 68\\n(D) 30\\n(E) 70 Stream of consciousness:", "from": "human" }, { "value": "A\\n72\\nThis is an alternating addition and subtraction series. In the first pattern, 8 is subtracted from each number to arrive at the next. In the second, 9 is added to each number to arrive at the next.\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "Some question: A and B are integers. The expression (A+1)(B+1) is even. What can be said about A and B?\\nOptions:\\n(A) They are both even numbers.\\n(B) At least one of them is even\\n(C) At least one of them is odd.\\n(D) They are both odd.\\n(E) Nothing can be said surly on A and B\nSome stream of consciousness:", "from": "human" }, { "value": "Odd x Odd = Odd\\nOdd x Even = Even\\nEven x Even = Even\\nTo fulfill condition Either (A+1) or (B+1) needs to be Even\\nSo either A or B needs to be odd\\nOr At Least one of them is odd. The answer: (C).", "from": "gpt" } ]

[ { "value": "Question: Find 95 ×× 97\\nOptions:\\n(A) 92/198\\n(B) 92/12\\n(C) 92/13\\n(D) 92/10\\n(E) 92/15 Random thoughts:", "from": "human" }, { "value": "Here both numbers are less than 100. So they are deficient of - 5 and - 3 compared with 100. So The final answer: (E).", "from": "gpt" } ]

[ { "value": "The inverse ratio of 3: 2: 1 is?\\nOptions:\\n(A) 2:3:7\\n(B) 2:3:9\\n(C) 2:3:2\\n(D) 2:3:6\\n(E) 2:3:1 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "1/3: 1/2: 1/1 = 2:3:6 So the answer is (D).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A train 210 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\\nOptions:\\n(A) 29\\n(B) 22\\n(C) 48\\n(D) 99\\n(E) 11", "from": "human" }, { "value": "D = 210 + 120 = 330\\nS = 54 * 5/18 = 15 mps\\nT = 330/15 = 22 sec\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "The average of first 16 even numbers is?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 17\\n(D) 13\\n(E) 14 Stream of consciousness:", "from": "human" }, { "value": "Sum of 16 even numbers = 16 * 17 = 272\\nAverage = 272/16 = 17\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Find the odd man out\\n253, 136, 352, 326, 631, 244\\nOptions:\\n(A) 326\\n(B) 136\\n(C) 352\\n(D) 631\\n(E) 531 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "The sum all three digits comes to 10 except 326\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "How much 45% of 60 is greater than 35% of 40?\\nOptions:\\n(A) 18\\n(B) 13\\n(C) 15\\n(D) 17\\n(E) 71 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(45/100) * 60 – (35/100) * 40\\n27 - 14 = 13\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "John makes $40 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 18%\\n(D) 21%\\n(E) 75% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Increase = (30/40)*100 = 75%.\nSo, the answer is (E).", "from": "gpt" } ]

[ { "value": "In wardrobe Karan has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens his wardrobein the dark and pick out one shirttrouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\\nOptions:\\n(A) 1/2\\n(B) 2/3\\n(C) 4/5\\n(D) 6/11\\n(E) 4/5 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Probability that trouser is not grey = 2/3\\nProbability that shirt is not grey = 3/4\\n∴ Required probability = 2/3 x 3/4 = 1/2\nThus, the answer is (A).", "from": "gpt" } ]

[ { "value": "Question: In Sam's hanger there are 23 boxes, 18 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 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. Random thoughts:", "from": "human" }, { "value": "Total boxes = 23\\nFilled with toys = 18\\nFilled with appliance = 5\\nTotal boxes for sale = 8\\nToy boxes for sale = 5\\nAppliance boxes for sale = 3\\nAppliance boxes not for sale = 5 - 3 = 2 The final answer: (B).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. Rs.500 amounts to Rs.620 in 2 years at simple interest. If the interest is increased by 2%, it would amount to how much?\\nOptions:\\n(A) 120\\n(B) 25\\n(C) 614\\n(D) 530\\n(E) 210", "from": "human" }, { "value": "(500*3*2)/100 = 30\\n500+ 30 = 530\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\\nOptions:\\n(A) 10\\n(B) 26\\n(C) 12\\n(D) 24\\n(E) 48 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "1/8 + 1/24 = 1/6\\n6 * 2 = 12 So the answer is (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. A man rows his boat 80 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 1 kmph\\n(B) 6 kmph\\n(C) 5 kmph\\n(D) 8 kmph\\n(E) 7 kmph", "from": "human" }, { "value": "Speed downstream = d/t = 80/(2 1/2) = 32 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (32 - 18)/2 = 7 kmph\nThe answer: (E).", "from": "gpt" } ]

[ { "value": "What is the are of an equilateral triangle of side 18 cm?\\nOptions:\\n(A) 66√3 cm2\\n(B) 74√3 cm2\\n(C) 81√3 cm2\\n(D) 64√5 cm2\\n(E) 14√3 cm2 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 18, Area of triangle = √3/4 * 18 * 18 = 81√3 cm2; So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?\\nOptions:\\n(A) 10Kmph\\n(B) 11Kmph\\n(C) 12Kmph\\n(D) 13Kmph\\n(E) 14Kmph", "from": "human" }, { "value": "Average speed = 2xy/(x+y) = (2*15*10)/25 = 12Kmph\nThe answer: (C).", "from": "gpt" } ]

[ { "value": "What will be the remainder when 17^200 is divided by 18\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "17^200 % 18\\n(17-18)^200 % 18\\n(-1)^200 % 18\\n1 % 18 = 1 So the answer is (A).", "from": "gpt" } ]

[ { "value": "Student: Find the number which when added to itself 13 times, gives 112.\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 10\\n(E) 11.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Let the number be x. Then, x + 13x = 112 14x = 112 x = 8. Final answer: (B).", "from": "gpt" } ]

[ { "value": "Rectangular tile each of size 25cm by 65cm must be laid horizontally on a rectangular floor of size 150cm by 390cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\\nOptions:\\n(A) 50\\n(B) 40\\n(C) 25\\n(D) 36\\n(E) 45 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Area of tile = 25*65 = 1625\\nArea of floor = 150*390 = 58500\\nNo of tiles = 58500/1625 = 36\\nSo, the no of tile = 36 So, the answer is (D).", "from": "gpt" } ]

[ { "value": "John makes $50 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 17.9%\\n(D) 18.12%\\n(E) 20% Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Increase = (10/50)*100 = (1/5)*100 = 20%.\nSo, the answer is (E).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. List K consists of 14 consecutive integers. If -4 is the least integer in list K, what is the range of the positive integers in list K?\\nOptions:\\n(A) 5\\n(B) 6\\n(C) 7\\n(D) 8\\n(E) 12", "from": "human" }, { "value": "Answer = D = 8\\nIf least = -4, then largest = 9\\nRange = 9 - 1 = 8\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Some question: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?\\nOptions:\\n(A) $3500\\n(B) $5000\\n(C) $3150\\n(D) $7200\\n(E) $10000\nSome stream of consciousness:", "from": "human" }, { "value": "Saving = (45-30)% of 48000 = 7200. The answer: (D).", "from": "gpt" } ]

[ { "value": "If n is an integer, then the least possible value of |33 - 5n| is?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 4 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "|33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2. The answer: (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. If a man can cover 24 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 118 km\\n(B) 162 km\\n(C) 324 km\\n(D) 1887 km\\n(E) 177 km", "from": "human" }, { "value": "24 m/s = 24 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 24 * 18/5 * 15/4 km = 324 km. So the final answer is (C).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The floor of a rectangular room is 15 m long and 12 m wide. The room is surrounded by a verandah of width 2 m on all its sides. The area of the verandah is :\\nOptions:\\n(A) 124 m2\\n(B) 120 m2\\n(C) 108 m2\\n(D) 58 m2\\n(E) None of these", "from": "human" }, { "value": "Area of the outer rectangle = 19 × 16 = 304 m2\\nArea of the inner rectangle = 15 × 12 = 180 m2\\nRequired area = (304 – 180) = 124 m2\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?\\nOptions:\\n(A) 1/14\\n(B) 1/7\\n(C) 2/7\\n(D) 5/7\\n(E) 1/2", "from": "human" }, { "value": "Total ways to choose 4 employees from 8 employees = 8C3\\nTwo women = 5C2\\nTwo Men = 3C1\\nP = (5C2 * 3C1)/8C2 = 5/7 hence\nThe final answer: (D).", "from": "gpt" } ]

[ { "value": "Question: 10 men and 15 women together can complete a work in 5 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 127 days\\n(B) 150 days\\n(C) 177 days\\n(D) 187 days\\n(E) 225 days Random thoughts:", "from": "human" }, { "value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/5\\n15 women's 1 day work = (1/5 - 10/100) = 1/10\\n1 woman's 1 day work = 1/150\\n1 woman alone can complete the work in 150 days. The final answer: (B).", "from": "gpt" } ]

[ { "value": "Find the simple interest on Rs.450 for 8 months at 5 paisa per month?\\nOptions:\\n(A) 277\\n(B) 270\\n(C) 180\\n(D) 266\\n(E) 121 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "I = (450*8*5)/100 = 180\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Some question: In how many different ways can the letters of the word ‘EVER’ be arranged?\\nOptions:\\n(A) 12\\n(B) 280\\n(C) 300\\n(D) 310\\n(E) 360\nSome stream of consciousness:", "from": "human" }, { "value": "Number of ways = 4!/2! = 4X3X2X1/2X1 = 12 The answer: (A).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. What is the probability of rolling a nine with two, fair, six-sided dice?\\nOptions:\\n(A) 1/6\\n(B) 1/9\\n(C) 2/13\\n(D) 1/12\\n(E) 5/36", "from": "human" }, { "value": "There are 4 ways to roll a nine: 3 and 6, 6 and 3, 4 and 5, 5 and 4 with two six-sided dice. There are 6 times 6 = 36 ways to roll two dice. The probability of rolling a 9 is thus 4/36 = 1/9. So the final answer is (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 118, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 22\\n(D) 118\\n(E) 25 3/10", "from": "human" }, { "value": "K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\\n(11K -1)/4 = 118\\n11K = 118 * 4 +1 = 472 +1 = 473\\nK = 473 / 11 = 43. So the final answer is (D).", "from": "gpt" } ]

[ { "value": "A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 25 kmph\\n(B) 32 kmph\\n(C) 40 kmph\\n(D) 38 kmph\\n(E) 92 kmph Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "S = (100 + 300)/45 = 400/45 * 18/5 = 32 kmph\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "One copy machine can make 30 copies a minute, and a second copy machine makes 15 copies a minute. If the two copiers work together, how long would it take them to make 900 copies?\\nOptions:\\n(A) 15 minutes\\n(B) 20 minutes\\n(C) 25 minutes\\n(D) 30 minutes\\n(E) 35 minutes Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Total work done by both machines in a minute = 30 + 15 = 45 copies\\nTotal number of copies required = 900\\nTime = 900/45 = 20 mins\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A light has a rating of 80 watts, it is replaced with a new light that has 25% higher wattage. How many watts does the new light have?\\nOptions:\\n(A) 105\\n(B) 95\\n(C) 80\\n(D) 60\\n(E) 100", "from": "human" }, { "value": "Final number = Initial number + 25%(original number) = 80 + 25%(80) = 80 + 20 = 100. So the final answer is (E).", "from": "gpt" } ]

[ { "value": "85% of the population of a city is 85000. The total population of the city is?\\nOptions:\\n(A) 95000\\n(B) 97500\\n(C) 100000\\n(D) 105000\\n(E) 102500 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "X * (85/100) = 85000\\nX = 1000 * 100\\nX = 100000 The answer: (C).", "from": "gpt" } ]

[ { "value": "Q: A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 18 sec\\n(B) 16 sec\\n(C) 76 sec\\n(D) 12 sec\\n(E) 17 sec Let's give some random thoughts before answering.", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 210 * 2/35 = 12 sec\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: Which one of the following is not a prime number?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 5\\n(D) 9\\n(E) 7 Random thoughts:", "from": "human" }, { "value": "9 is divisible by 3. So, it is not a prime number. The final answer: (D).", "from": "gpt" } ]

[ { "value": "In how many different ways can the letters of the word ‘PREPTY’ be arranged?\\nOptions:\\n(A) 250\\n(B) 280\\n(C) 300\\n(D) 310\\n(E) 360 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Number of ways = 61/21 6X5X4X3X2X1 - 360\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 2267\\n(B) 287\\n(C) 268\\n(D) 228\\n(E) 225 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/6\\n15 women's 1 day work = (1/6 - 10/100) = 1/15\\n1 woman's 1 day work = 1/225\\n1 woman alone can complete the work in 225 days. So, the answer is (E).", "from": "gpt" } ]

[ { "value": "Student: Which of the following numbers is divisible by each one of 3, 7, 9 and 11 ?\\nOptions:\\n(A) 2079\\n(B) 456\\n(C) 974\\n(D) 562\\n(E) 300.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "639 is not divisible by 7\\n2079 is divisible by each of 3, 7, 9, 11. Final answer: (A).", "from": "gpt" } ]

[ { "value": "Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors?\\nOptions:\\n(A) 8\\n(B) 13\\n(C) 16\\n(D) 24\\n(E) 27 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "A intersect B intersect C = 4\\nA intersect B but not C = 1\\nB intersect C but not A = 1\\nC intersec A but not B = 1\\nA only is 2; B only is 2; C only is 2\\nTherefore, total 13 members serve on one or more boards of directors. So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Some question: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?\\nOptions:\\n(A) 1/8\\n(B) 1/3\\n(C) 1/6\\n(D) 1/2\\n(E) 5/3\nSome stream of consciousness:", "from": "human" }, { "value": "A's one day's work = 1/30\\nB's one day's work = 1/60\\n(A + B)'s one day's work = 1/30 + 1/60 = 1/20\\nThe part of the work completed in 10 days = 10 (1/20) = 1/2. The answer: (D).", "from": "gpt" } ]

[ { "value": "The length of a rectangle is increased by 45% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 1288\\n(B) 1299\\n(C) 1000\\n(D) 10000\\n(E) 11600 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "100 * 100 = 10000\\n145 * 80 = 11600 So, the answer is (E).", "from": "gpt" } ]

[ { "value": "What is the least number should be added to 1056, so the sum of the number is completely divisible by 26?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "(1056 / 26) gives remainder 16\\n10 + 16 = 26, So we need to add 10\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "The average of first 12 even numbers is?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Sum of 12 even numbers = 12 * 13 = 156\\nAverage = 156/13 = 13\nSo, the answer is (D).", "from": "gpt" } ]

[ { "value": "A corporation triples its annual bonus to 50 of its employees. What T percent of the employees’ new bonus is the increase?\\nOptions:\\n(A) 50%\\n(B) 662⁄3%\\n(C) 100%\\n(D) 200%\\n(E) 300% OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "T of the employees’ new bonus is the increase Hence The answer: (B).", "from": "gpt" } ]

[ { "value": "Question: If 10 crates have 99 apples each and how many apples more is required in order to make 100 apples in each crate?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 15\\n(D) 20\\n(E) 0 Random thoughts:", "from": "human" }, { "value": "Each crate requires 1 apples and totally there are 10 crates so required apples = 10 * 1 = 10 The final answer: (B).", "from": "gpt" } ]

[ { "value": "You have found a mutant algae that doubles in size every hour. It takes 18 hours for one algae plant to take up half of a certain lake.\\nHow long would it take for two of these plants to take up half of the same lake?\\nOptions:\\n(A) 7\\n(B) 17\\n(C) 27\\n(D) 37\\n(E) 47 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "At 17 hours the one plant will take up 1/4 of the lake (1/2 of 1/2). At 17 hours the two plants would be double the size of the one plant and double 1/4 is one half. So, the answer is (B).", "from": "gpt" } ]

[ { "value": "Question: A man rows his boat 65 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 5 kmph\\n(B) 4 kmph\\n(C) 9 kmph\\n(D) 8 kmph\\n(E) 1 kmph Random thoughts:", "from": "human" }, { "value": "Speed downstream = d/t = 65/(2 1/2) = 26 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (26 - 18)/2 = 4 kmph The final answer: (B).", "from": "gpt" } ]

[ { "value": "Q: Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 208.\\nOptions:\\n(A) 15\\n(B) 37\\n(C) 55\\n(D) 26\\n(E) 73 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Using the elimination method the option that fits this description is 26\\n6-2 = 4 (unit's digit that exceeds its ten's digit by 3)\\n26*8 = 208 (the product of the given number and the sum of its digits is equal to 175)\nTherefore, the answer is (D).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. If 10 crates have 95 apples each and how many apples more is required in order to make 100 apples in each crate?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 15\\n(D) 50\\n(E) 0", "from": "human" }, { "value": "Each crate requires 5 apples and totally there are 10 crates so required apples = 10 * 5 = 50 So the final answer is (D).", "from": "gpt" } ]

[ { "value": "Some question: Find the least number must be subtracted from 568219 so that remaining no.is divisible by 5?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 4\nSome stream of consciousness:", "from": "human" }, { "value": "On dividing 568219 by 5 we get the remainder 4, so 4 should be subtracted The answer: (E).", "from": "gpt" } ]

[ { "value": "Question: If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?\\nOptions:\\n(A) -f(x) \\n(B) 1/f(x) \\n(C) 2/f(x) \\n(D) 3/f(x) \\n(E) f(x) Let's think first. Some random reasoning:", "from": "human" }, { "value": "If x = 2 then f(x) = 8/31 and f(1/x) = -8/31 which is equal to -f(x) The final answer: (A).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\\nOptions:\\n(A) 2178\\n(B) 1087\\n(C) 2800\\n(D) 2689\\n(E) 2081", "from": "human" }, { "value": "(x*3*1)/100 + [(4000 - x)*5*1]/100 = 144\\n3x/100 + 200 – 5x/100 = 144\\n2x/100 = 56 è x = 2800\nThe final answer: (C).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The average of 13 numbers is 60. Average of the first 7 of them is 54 and that of the last 7 is 61. Find the 8th number?\\nOptions:\\n(A) 25\\n(B) 83\\n(C) 45\\n(D) 53\\n(E) 64", "from": "human" }, { "value": "Sum of all the 13 numbers = 13 * 60 = 780\\nSum of the first 7 of them = 7 * 54 = 378\\nSum of the last 7 of them = 7 * 61 = 427\\nSo, the 8th number = 427 + 378 - 780 = 25.\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Student: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 5\\n(D) 8\\n(E) 2.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "If the number is divisible by 9, it must also be divisible by 3. Only 3 yields such a number. Final answer: (B).", "from": "gpt" } ]

[ { "value": "The average age of a class of 22 students is 10 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\\nOptions:\\n(A) 30 Years\\n(B) 31 Years\\n(C) 33 Years\\n(D) 34 Years\\n(E) 49 Years OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Total age of students is 22X10 = 220 Years\\nTotal age inclusive of teacher = 23X (10+1) = 253\\nSo, Teacher's age is 253-220 = 33 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 10+(23X1) = 33 Years The answer: (C).", "from": "gpt" } ]

[ { "value": "Some question: If C is the temperature in degrees Celsins and F is the temperature in degrees Fahrenheit, then the relationship between temperatures on the two scales is expressed by the equation 9C=5(F-32). In a weekly range of temperature recorded at a certain weather station differed by 25 degrees on the Fahrenheit scale, by how many degrees did the temperature extremes differ on the Celsius scale?\\nOptions:\\n(A) a) 65/9\\n(B) b) 13\\n(C) c) 25\\n(D) d) 45\\n(E) e) 81\nSome stream of consciousness:", "from": "human" }, { "value": "The relationship is 9/5 - 32, so approximately half of difference in Celsius (the -32 part won't be used in this case). Just looking at the answer choices you can pick B which is the only number near half of 25. The other answer choices are too far apart so no need to calculate. The answer: (B).", "from": "gpt" } ]

[ { "value": "Student: A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?\\nOptions:\\n(A) 5 mins\\n(B) 3 mins\\n(C) 7 mins\\n(D) 9 mins\\n(E) 2 mins.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "D = 25 * 60 + 1500 = 3000 m\\nT = 3000/60 * 18/5 = 180 sec = 3 mins Final answer: (B).", "from": "gpt" } ]

[ { "value": "Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 1/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\\nOptions:\\n(A) 3/140\\n(B) 1/280\\n(C) 27/280\\n(D) 3/35\\n(E) 7/56 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*1/8*5/7 + 1/5*7/8*2/7 + 4/5*1/8*2/7 = 27/280. So the answer is (C).", "from": "gpt" } ]

[ { "value": "In a school of 400 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 41\\n(B) 63\\n(C) 72\\n(D) 63\\n(E) 50 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n400 * 18/100 = 72 So, the answer is (C).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. In a certain lottery drawing, two balls are selected at random from a container with 10 balls, numbered from 1 to 10, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?\\nOptions:\\n(A) $9 x 10^4\\n(B) $9.90 x 10^6\\n(C) $1.00 x 10^7\\n(D) $1.05 x 10^7\\n(E) $9.90 x 10^7", "from": "human" }, { "value": "The max product of any two balls can be 9 * 10 = 9900 = 9 * 10\\nIf we multiply it by $1000 the max amount will be 9 * 10^4. So the final answer is (A).", "from": "gpt" } ]

[ { "value": "From the set of numbers x, y, t, z, p, q and w, how many different combinations can we have without the t and w in them? Ex:. (x,y), (x), (p,q,z,y,x), etc and (x,y)=(y,x)\\nOptions:\\n(A) 10\\n(B) 14\\n(C) 15\\n(D) 16\\n(E) 30 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Another way: Any letter (x, y, z, p, q) can be included or not. So, we have 2^5 combinations - 2 empty combinations = 30 combinations\nThe final answer: (E).", "from": "gpt" } ]

[ { "value": "Of the 50 electronics components that a factory must\\nmanufacture, 70 percent would be most e¢ ciently manufactured\\nby Machine A and the remaining 30 percent would be most\\ne¢ ciently manufactured by Machine B, though either machine\\ncould manufacture any of the 50 components. If 36 percent of\\nthe components were manufactured by Machine A and the\\nremainder were manufactured by Machine B, what is the\\nhighest possible number of components that were\\nmanufactured by the machine that would manufacture them\\nthe most efficiently?\\nOptions:\\n(A) 30\\n(B) 31\\n(C) 32\\n(D) 33\\n(E) 34 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "# components A and B could manufacture efficiently:\\nA: 50*70% = 35\\nB: 50*30% = 15\\n# components A and B effectively manufacture:\\nA: 50*36% = 18\\nB: 50*64% = 32\\nMax. # components efficiently manufactured:\\n18 (from A) and 15 (from B) = 33 So the answer is (D).", "from": "gpt" } ]

[ { "value": "The purchase price of an article is $48. In order to include 25% of cost for overhead and to provide $12 of net profit, the markup should be\\nOptions:\\n(A) 50%\\n(B) 25%\\n(C) 35%\\n(D) 40%\\n(E) 45% Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Cost price of article = 48$\\n% of overhead cost = 25\\nNet profit = 12 $\\nWe need to calculate % markup\\nNet profit as % of cost price = (12/48)*100 = 25%\\nTotal markup should be = 25 + 25 = 50% So, the answer is (A).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. The average of first 10 even numbers is?\\nOptions:\\n(A) 17\\n(B) 199\\n(C) 16\\n(D) 11\\n(E) 123", "from": "human" }, { "value": "Sum of 10 even numbers = 10 * 11 = 110\\nAverage = 110/10 = 11\nThe answer: (D).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?\\nOptions:\\n(A) 12hours\\n(B) 10hours\\n(C) 6hours\\n(D) 8hours\\n(E) 4hours", "from": "human" }, { "value": "A's 1 hour work = 1/4;\\n(B + C)'s 1 hour work = 1/3;\\n(A + B)'s 1 hour work = 1/2\\n(A + B + C)'s 1 hour work = (1/4 + 1/3) = 7/12\\nC's 1 hour work = (7/12 - 1/2) = 1/12\\nC alone will take 12 hours to do the work.\nThe final answer: (A).", "from": "gpt" } ]

[ { "value": "Approximately what percent of the employees with 5 or more years of employment are NOT taking either workshop?\\nOptions:\\n(A) 86%\\n(B) 64%\\n(C) 50%\\n(D) 14%\\n(E) 7% Stream of consciousness:", "from": "human" }, { "value": "Total = n(A) + n(B) - Both + None\\nNone = Total - n(A) - n(B) + Both\\nCalculate \"none\" for each case\\nNone(5+ yrs Line) = 200 - 50 - 40 + 30 = 140\\nNone(5+ yrs Staff) = 160 - 40 - 50 + 20 = 90\\nEmployees not taking either workshop/Total number of employees = (140 + 90)/(200 + 160) = 230/360 = About 64%\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "How many positive integers less than 70 have a reminder 01 when divided by 3?\\nOptions:\\n(A) 13\\n(B) 24\\n(C) 35\\n(D) 16\\n(E) 17 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "1 also gives the remainder of 1 when divided by 3. So, there are total of 24 numbers.\nThus, the answer is (B).", "from": "gpt" } ]

[ { "value": "A 600 meter long train crosses a signal post in 30 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4 min\\n(B) 2 min\\n(C) 8 min\\n(D) 3 min\\n(E) 5 min Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "S = 600/30 = 20 mps\\nS = 3600/20 = 180 sec = 4 min\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: In how many ways can you seat 4 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\\nOptions:\\n(A) 720\\n(B) 1720\\n(C) 2880\\n(D) 6\\n(E) 10080 Random thoughts:", "from": "human" }, { "value": "Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 1 chairs to sit. The remaining 3 people can sit in 3! ways. Thus the # of arrangements is 1*3! = 6. The final answer: (D).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. Three men rent a pasture for Rs. 660. The first used it for 50 sheep for 4 months, the 2nd for 40 sheep for 3 months and the 3rd for 46 sheep for 5 months. How much should the first pay ?\\nOptions:\\n(A) Rs. 220\\n(B) Rs. 235\\n(C) Rs. 240\\n(D) Rs. 276\\n(E) Rs. 286", "from": "human" }, { "value": "The payment should be in ratio of 200:120:230 or 20:12:23\\nFirst person should pay 20*660/55 = 240 Rs. So the final answer is (D).", "from": "gpt" } ]

[ { "value": "How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 27 sec\\n(B) 23 sec\\n(C) 24 sec\\n(D) 25 sec\\n(E) 26 sec Hmmm, my stream of consciousness:", "from": "human" }, { "value": "D = 120 + 150 = 270\\nS = 36 * 5/18 = 10 mps\\nT = 270/10 = 27 sec So, the answer is (A).", "from": "gpt" } ]

[ { "value": "Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder G when N is divided by 30?\\nOptions:\\n(A) (a) 4\\n(B) (b) 7\\n(C) (c) 11\\n(D) (d) 13\\n(E) (e) 17 Let's think first. Some random reasoning:", "from": "human" }, { "value": "N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder G when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The final answer: (C).", "from": "gpt" } ]

[ { "value": "Question: The number N is 7,6H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9 Random thoughts:", "from": "human" }, { "value": "Integer is divisible by 9 - Sum of digits is divisible by 9 The final answer: (A).", "from": "gpt" } ]

[ { "value": "A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds. What is the length of the platform in meters?\\nOptions:\\n(A) 240 meters\\n(B) 360 meters\\n(C) 280 meters\\n(D) 600 meters\\n(E) Cannot be determined Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Speed of the train in metres/sec = 72000/3600 = 20\\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\\nDistance travelled by train to cross the man = 16 * 20 = 320 = Length of train\\nLength of platform = 600 - 320 = 280\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "Question: One copy machine can make 25 copies a minute, and a second copy machine makes 35 copies a minute. If the two copiers work together, how long would it take them to make 4,800 copies?\\nOptions:\\n(A) 30 minutes\\n(B) 40 minutes\\n(C) 60 minutes\\n(D) 70 minutes\\n(E) 80 minutes Random thoughts:", "from": "human" }, { "value": "Total work done by both machines in a minute = 25 + 35 = 60 copies\\nTotal number of copies required = 6000\\nTime = 4800/60 = 80 mins The final answer: (E).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\\nOptions:\\n(A) 3 km/hr\\n(B) 2 km/hr\\n(C) 4 km/hr\\n(D) 6 km/hr\\n(E) 8 km/hr", "from": "human" }, { "value": "Speed in still water = 1/2 (11 + 5) kmph = 8 kmph. So the final answer is (E).", "from": "gpt" } ]

[ { "value": "Some question: In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest?\\nOptions:\\n(A) 5 years\\n(B) 6 years\\n(C) 7 years\\n(D) 9 years\\n(E) 15 years\nSome stream of consciousness:", "from": "human" }, { "value": "(4000*T*5)/100 = (5000*5*4)/100\\nT = 5 years The answer: (A).", "from": "gpt" } ]

[ { "value": "Question: The average of five numbers is 18. The average of first two numbers is 14 and the average of last two numbers is 19. What is the middle number?\\nOptions:\\n(A) 24\\n(B) 27\\n(C) 29\\n(D) 32\\n(E) 34 Let's think first. Some random reasoning:", "from": "human" }, { "value": "The total of seven numbers = 5X18 = 90\\nThe total of first 2 and last 2 numbers is = 2 X 14+2 X 19 = 66\\nSo, the middle number is (90 - 66 ) = 24 The final answer: (A).", "from": "gpt" } ]

[ { "value": "The number N is 5,1H4, where H represents the ten's digit. If N is divisible by 9, what is the value of H?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 8\\n(D) 7\\n(E) 9 Stream of consciousness:", "from": "human" }, { "value": "Integer is divisible by 9 - Sum of digits is divisible by 9\nThus, the answer is (C).", "from": "gpt" } ]

[ { "value": "People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\\nOptions:\\n(A) 18\\n(B) 22\\n(C) 42\\n(D) 41\\n(E) 74 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "The correct answer should not take the form: 4x + 2. Hence, it is\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Give a quick stream of consciousness before answering the following question. The average age of applicants for a new job is 20, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\\nOptions:\\n(A) 8\\n(B) 16\\n(C) 17\\n(D) 18\\n(E) 34", "from": "human" }, { "value": "Minimum age = Average - 1 Standard deviation = 20 - 8 = 12\\nMaximum age = average + 1 Standard deviation = 20+ 8 = 28\\nMaximum number of different ages of the applicants = 28 - 12 + 1 = 17\nThe answer: (C).", "from": "gpt" } ]

[ { "value": "Give stream of consciousness and then the final answer. The edges of cuboid are 4 cm; 5 cm and 6 cm. Find its surface area?\\nOptions:\\n(A) 228\\n(B) 148\\n(C) 992\\n(D) 772\\n(E) 222", "from": "human" }, { "value": "2(4*5 + 5*6 + 4*6) = 148\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "Question: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?\\nOptions:\\n(A) 90 matches\\n(B) 95 matches\\n(C) 99 matches\\n(D) 85 matches\\n(E) 87 matches Let's think first. Some random reasoning:", "from": "human" }, { "value": "D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were playe The final answer: (D).", "from": "gpt" } ]

[ { "value": "Question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 15\\n(D) 20\\n(E) 0 Let's think first. Some random reasoning:", "from": "human" }, { "value": "Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20 The final answer: (D).", "from": "gpt" } ]

[ { "value": "The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 1288\\n(B) 1299\\n(C) 1000\\n(D) 10000\\n(E) 2887 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "100 * 100 = 10000\\n125 * 80 = 10000\nSo, the answer is (D).", "from": "gpt" } ]

[ { "value": "In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 120\\n(B) 125\\n(C) 153\\n(D) 200\\n(E) 250 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n850 * 18/100 = 153\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "Question: In a race with 30 runners where 6 trophies will be given to the top 6 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 6^6 ways\\n(B) 8^9 ways\\n(C) 7^8 ways\\n(D) 8^7 ways\\n(E) 8^6 ways Random thoughts:", "from": "human" }, { "value": "6 people can be prized with distinct prizes in 6^6 ways The final answer: (A).", "from": "gpt" } ]

[ { "value": "If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\\nOptions:\\n(A) 60 %\\n(B) 55 %\\n(C) 70%\\n(D) 75%\\n(E) 80% Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\\n100 = 85 + 65 - {Both correctly} + 5\\n{Both correctly} = 55.\nThe final answer: (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. Calculate the largest 5 digit number which is exactly divisible by 77?\\nOptions:\\n(A) 99111\\n(B) 99946\\n(C) 99869\\n(D) 99792\\n(E) 99654", "from": "human" }, { "value": "Largest 4 digit number is 99999\\nAfter doing 99999 ÷ 77 we get remainder 53\\nHence largest 5 digit number exactly divisible by 77 = 99999 - 53 = 99946 So the final answer is (B).", "from": "gpt" } ]

[ { "value": "Use some thinking to answer the following question. A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?\\nOptions:\\n(A) 750\\n(B) 888\\n(C) 261\\n(D) 787\\n(E) 17`", "from": "human" }, { "value": "1/2:1/3:1/4 = 6:4:3\\nRam = 6/13 * 3250 = 1500\\nShyam = 4/13 * 3250 = 1000\\nMohan = 3/13 * 3250 = 750 So the final answer is (A).", "from": "gpt" } ]

[ { "value": "Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\\nOptions:\\n(A) 12\\n(B) 15\\n(C) 14\\n(D) 18\\n(E) 17 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "In this series, each number is repeated, then 13 is subtracted to arrive at the next number. So the answer is (C).", "from": "gpt" } ]

[ { "value": "Some question: An archer is shooting arrows from various distances. She shoots at a target from 60 yards, 70 yards, and 80 yards. The probability that she hits within the bullseye from 60 yards is 2/3, the probability that she hits within the bullseye from 70 yards is 3/5, and the probability that she hits within the bullseye from 80 yards is 1/2. What is the probability that she hits the bullseye at least once in three shots, one from each distance listed.\\nOptions:\\n(A) 19/20\\n(B) 29/30\\n(C) 49/50\\n(D) 9/10\\n(E) 14/15\nSome stream of consciousness:", "from": "human" }, { "value": "The probability that she hits the bullseye at least once = 1 - (the probability that she misses the bullseye every shot)\\nThe probability that she misses every shot = (prob that she misses from 60 yards)*(prob that she misses from 70 yards)*(prob that she misses from 80 yards)\\nProb that she misses from 60 yards = 1 - 2/3 = 1/3; Prob that she misses from 70 yards = 1 - 3/5 = 2/5; Prob that she misses from 80 yards = 1 - 1/2 = 1/2\\nThus the probability that she misses all shots = (1/3)*(2/5)*(1/2) = 2/30 = 1/15\\nThus the probability that she makes at least one shot = 1 - (1/15) = 14/15 The answer: (E).", "from": "gpt" } ]

[ { "value": "In an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\\nOptions:\\n(A) 32\\n(B) 64\\n(C) 50\\n(D) 144\\n(E) 160 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "(10/100)Workers = 16 = > number of workers = 160\\n(20/100)*Workers = x+16 = > x = 32\nSo, the answer is (A).", "from": "gpt" } ]

[ { "value": "Student: In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 10 sec\\n(B) 8 sec\\n(C) 5 sec\\n(D) 6 sec\\n(E) 11 sec.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "T = 60/36 * 18/5 = 6 sec Final answer: (D).", "from": "gpt" } ]

[ { "value": "In what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 9\\n(D) 4\\n(E) 7 Stream of consciousness:", "from": "human" }, { "value": "T = 40/36 * 18/5 = 4 sec\nThus, the answer is (D).", "from": "gpt" } ]

[ { "value": "Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?\\nOptions:\\n(A) 267\\n(B) 766\\n(C) 810\\n(D) 868\\n(E) 812 Let's think first. Some random reasoning:", "from": "human" }, { "value": "12 men 120 acres 36 days\\n54 men ? 54 days\\n120 * 54/12 * 54/36\\n10 * 54 * 3/2\\n54 * 15 = 810 The final answer: (C).", "from": "gpt" } ]