conversations
list
[ { "value": "Give stream of consciousness and then the final answer. 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 3.5 km long?\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9", "from": "human" }, { "value": "D = 25 * 60 + 3500 = 5000 m\\nT = 5000/60 * 18/5 = 300 sec = 5 mins\nThe final answer: (C).", "from": "gpt" } ]
[ { "value": "Find the odd man out\\n445, 221, 109, 46, 25, 11, 4\\nOptions:\\n(A) 221\\n(B) 109\\n(C) 46\\n(D) 25\\n(E) 21 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "4*2+3 = 11\\n11*2+3 = 25\\n25*2+3 = 53\\n53*2+3 = 109\\n109*2+3 = 221\\n221*2+3 = 445\nThus, the answer is (C).", "from": "gpt" } ]
[ { "value": "How much is 40% of 60 is greater than 4/5 of 25?\\nOptions:\\n(A) 2\\n(B) 5\\n(C) 12\\n(D) 8\\n(E) 4 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "(40/100) * 60 – (4/5) * 25\\n24 - 20 = 4 So, the answer is (E).", "from": "gpt" } ]
[ { "value": "Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 2 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\\nOptions:\\n(A) 30\\n(B) 20\\n(C) 18\\n(D) 22\\n(E) 6 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "21-12 < no of hrs < 21-2\\n9< no of hrs < 19. So the answer is (C).", "from": "gpt" } ]
[ { "value": "Question: Look at this series: 36, 34, 30, 28, 24, ... What number should come next?\\nOptions:\\n(A) 20\\n(B) 22\\n(C) 25\\n(D) 24\\n(E) 26 Let's think first. Some random reasoning:", "from": "human" }, { "value": "This is an alternating number subtraction series. First, 2 is subtracted, then 4, then 2, and so on. The final answer: (B).", "from": "gpt" } ]
[ { "value": "Question: There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?\\nOptions:\\n(A) 1\\n(B) 1/2\\n(C) 1/4\\n(D) 1/6\\n(E) 1/8 Let's think first. Some random reasoning:", "from": "human" }, { "value": "1- (2c1/4c1) = 1-1/2 = 1/2 The final answer: (B).", "from": "gpt" } ]
[ { "value": "Question: Express 30 mps in kmph?\\nOptions:\\n(A) 122\\n(B) 108\\n(C) 110\\n(D) 150\\n(E) 100 Let's think first. Some random reasoning:", "from": "human" }, { "value": "30 * 18/5 = 108 kmph The final answer: (B).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. Which oif the following is a prime number?\\nOptions:\\n(A) 45\\n(B) 39\\n(C) 27\\n(D) 33\\n(E) 31", "from": "human" }, { "value": "Clearly, 31 is a prime number. So choice E is correct.\nThe final answer: (E).", "from": "gpt" } ]
[ { "value": "Question: What will come in place of the x in the following Number series? 11, 14, 19, 22, 27, 30, 35, x\\nOptions:\\n(A) 29\\n(B) 31\\n(C) 23\\n(D) 35\\n(E) 38 Random thoughts:", "from": "human" }, { "value": "The pattern is + 3, + 5, + 3, + 5, …………\\nSo the missing term is = 35 + 3 = 38. The final answer: (E).", "from": "gpt" } ]
[ { "value": "The average of Suresh’s marks in English and History is 55. His average of marks in English and Science is 65. What is the difference between the marks which he obtained in History and Science?\\nOptions:\\n(A) 40\\n(B) 60\\n(C) 20\\n(D) Data inadequate\\n(E) None of the above Hmmm, my stream of consciousness:", "from": "human" }, { "value": "E + H = (55 × 2) = 110;\\nE + S = (65 × 2) = 130\\n∴ Reqd difference = 130 – 110 = 20 So, the answer is (C).", "from": "gpt" } ]
[ { "value": "Student: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?\\nOptions:\\n(A) 170, 10 kmph\\n(B) 35, 27 kmph\\n(C) 50, 60 kmph\\n(D) 115, 15 kmph\\n(E) 45, 65 kmph.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Speed of the boat in still water = (100+130)/2 = 115 kmph. Speed of the stream = (100-130)/2 = 15 kmph Final answer: (D).", "from": "gpt" } ]
[ { "value": "A train 140 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 15 sec\\n(B) 16 sec\\n(C) 18 sec\\n(D) 11 sec\\n(E) 8 sec Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 140 * 2/35 = 8 sec So the answer is (E).", "from": "gpt" } ]
[ { "value": "A light has a rating of 60 watts, it is replaced with a new light that has 12% higher wattage. How many watts does the new light have?\\nOptions:\\n(A) 105\\n(B) 67\\n(C) 80\\n(D) 60\\n(E) 100 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Final number = Initial number + 12%(original number) = 60 + 12%(60) = 60 + 7 = 67\nThe final answer: (B).", "from": "gpt" } ]
[ { "value": "Question: A train 495 m long is running at a speed of 63 km/hr. In what time will it pass a bridge 240 m long?\\nOptions:\\n(A) 39\\n(B) 40\\n(C) 41\\n(D) 42\\n(E) 43 Random thoughts:", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTotal distance covered = 495 +240 = 735 m\\nRequired time = 700 * 2/35 = 42 sec The final answer: (D).", "from": "gpt" } ]
[ { "value": "Some question: The measure of the side of a square is doubled. If x represents the perimeter of the original square, what is the value of the new perimeter?\\nOptions:\\n(A) 2x\\n(B) 4x\\n(C) 9x\\n(D) 12x\\n(E) 27x\nSome stream of consciousness:", "from": "human" }, { "value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 2x/4\\nNew perimeter = 4*2x/4 = 2x The answer: (A).", "from": "gpt" } ]
[ { "value": "Use some thinking to answer the following question. A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?\\nOptions:\\n(A) 9\\n(B) 11\\n(C) 15\\n(D) 5\\n(E) 20", "from": "human" }, { "value": "221 + 43 = 264/17 = 9 So the final answer is (A).", "from": "gpt" } ]
[ { "value": "If the given two numbers are respectively 5% and 25% of a third number, then what percentage is the first of the second ?\\nOptions:\\n(A) 20%\\n(B) 25%\\n(C) 18%\\n(D) 30%\\n(E) none of these Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Here, l = 5 and m = 25\\nTherefore, first number = l/m x 100% of second number = 5/25 x 100% of second number = 20% of second number So the answer is (A).", "from": "gpt" } ]
[ { "value": "Use some thinking to answer the following question. If P(A) = 6/17, P(B) = 5/17, and P(A ∪ B) = 4/17 Find P(B|A)?\\nOptions:\\n(A) 2/3\\n(B) 3/5\\n(C) 2/7\\n(D) 3/7\\n(E) 4/9", "from": "human" }, { "value": "P(B|A) = P(A ∪ B)/P(A)\\nP(B|A) = (4/17)/(6/17) = 4/6 = 2/3. So the final answer is (A).", "from": "gpt" } ]
[ { "value": "Q: 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 1.2 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 162 sec\\n(D) 244 sec\\n(E) 2 mins 44 sec Let's give some random thoughts before answering.", "from": "human" }, { "value": "D = 25 * 60 + 1200 = 2700 m\\nT = 2700/60 * 18/5 = 162 se\nTherefore, the answer is (C).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. A pharmaceutical company received $3 million in royalties on the first $30 million in sales of and then $9 million in royalties on the next $120 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $30 million in sales to the next $120 million in sales?\\nOptions:\\n(A) 8%\\n(B) 15%\\n(C) 25%\\n(D) 52%\\n(E) 56%", "from": "human" }, { "value": "(9/120)/(3/30) = 3/4 = 75% it means that 9/120 represents only 75%. Therefore a decrease of 25%.\nThe final answer: (C).", "from": "gpt" } ]
[ { "value": "Q: 100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\\nOptions:\\n(A) 75\\n(B) 70\\n(C) 85\\n(D) 90\\n(E) 95 Let's give some random thoughts before answering.", "from": "human" }, { "value": "Answer = B\\nPlease refer diagram below\\n90 - 20 = 70\nTherefore, the answer is (B).", "from": "gpt" } ]
[ { "value": "In the \"Big-Reds\" parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?\\nOptions:\\n(A) 1.\\n(B) 15\\n(C) 17\\n(D) 20\\n(E) 23 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Total Vehicles = 56\\nBuses = 18\\nPrivate Cars = 38\\nTotal red vehicles = 32\\nTotal red buses = 17\\nTotal Red cars = 15\\nTotal cars that are not red = 38 - 15 = 23 The answer: (E).", "from": "gpt" } ]
[ { "value": "There are 9 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) 540\\n(D) 180\\n(E) 200 Stream of consciousness:", "from": "human" }, { "value": "Number of ways of selecting 2 fiction books = 9C2\\nNumber of ways of selecting 2 non fiction books = 6C2\\n9C2 * 6C2 = 36 * 15 = 540\nThus, the answer is (C).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?\\nOptions:\\n(A) 36\\n(B) 45\\n(C) 50\\n(D) 55\\n(E) 60", "from": "human" }, { "value": "8C3 [Select any four] - 6C3 [Select all hard backs] = 36.\nThe 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 224 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) 1:2\\n(B) 1:5\\n(C) 4:7\\n(D) 1:1\\n(E) 1:8", "from": "human" }, { "value": "T = 224/32 = 7 h\\nT = 7 - 3 = 4\\nTime Ratio = 7:4\\nSpeed Ratio = 4:7\nThe answer: (C).", "from": "gpt" } ]
[ { "value": "Student: A faucet, partially on, fills a bucket with water at a rate of r buckets per minute. If the faucet is turned up it will fill the same bucket at a rate r + 2 buckets per minute, and the same bucket would fill in 2/3 minute less. What is the value of r?\\nOptions:\\n(A) 5\\n(B) 4\\n(C) 3\\n(D) 2\\n(E) 1.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "Equation: 1/r = 1/(r + 2) + 2/3\\nPlug options into the equation:\\nE fits: 1/1 = 1/(1 + 2) + 2/3 Final answer: (E).", "from": "gpt" } ]
[ { "value": "Question: 189. The inside dimensions of a rectangular wooden box\\nare 2 inches by 4 inches by 6 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) 2\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8 Random thoughts:", "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 6x4 width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 4, so the radius will be 2. The final answer: (A).", "from": "gpt" } ]
[ { "value": "Question: The length of a rectangle is increased by 35% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 10800\\n(B) 1299\\n(C) 1000\\n(D) 10000\\n(E) 2887 Random thoughts:", "from": "human" }, { "value": "100 * 100 = 10000\\n135 * 80 = 10800 The final answer: (A).", "from": "gpt" } ]
[ { "value": "If x is an odd integer, which of the following is an even integer?\\nOptions:\\n(A) 2x-x\\n(B) x+1\\n(C) 2x+3\\n(D) x^3\\n(E) 3x+2x Stream of consciousness:", "from": "human" }, { "value": "Plug in an odd integer; in this case 3\\n(2*3)-3 = 3 Odd\\n3+1 = 4 Even\\n(2*3)+3 = 9 Odd\\n3^3 = 27 Odd\\n(3*3)+(2*3) = 9 + 6 = 15 Odd\nThus, the answer is (B).", "from": "gpt" } ]
[ { "value": "Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 16, and 18 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\\nOptions:\\n(A) 4/11\\n(B) 1/2\\n(C) 15/22\\n(D) 144/17\\n(E) 11/4 Let's think first. Some random reasoning:", "from": "human" }, { "value": "P1 takes 12 hrs\\nRate for P2P3 together = 1/16 + 1/18 = 17/144\\nTherefore they take 144/17\\nRatio = 144/17 = The final answer: (D).", "from": "gpt" } ]
[ { "value": "Some question: A no.when divided by 242 gives a remainder 100, what remainder will be obtainedby dividingthe same no.18?\\nOptions:\\n(A) 15\\n(B) 16\\n(C) 17\\n(D) 18\\n(E) 19\nSome stream of consciousness:", "from": "human" }, { "value": "242 + 100 = 342/18 = 19 (Remainder) The answer: (E).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. The average age of a family of 6 members is 22 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\\nOptions:\\n(A) 15\\n(B) 18\\n(C) 21\\n(D) 12\\n(E) 19", "from": "human" }, { "value": "Present age of total members = 6 X 22 = 132\\n7 yrs back their ages were = 6 x 7 = 42\\nAges at the birth of youngest member = 132 - 42 = 90\\nTherefore, avg age at the birth of youngest member = 90/6 = 15.\nThe answer: (A).", "from": "gpt" } ]
[ { "value": "A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?\\nOptions:\\n(A) 34 Seconds\\n(B) 18 Seconds\\n(C) 41 Seconds\\n(D) 24 Seconds\\n(E) 29 Seconds Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Distance travelled = 140 + 160m = 300m\\nSpeed = 60 * 5/8 = 50/3m\\nTime = 300 * 3/50 = 18 Seconds\nSo, the answer is (B).", "from": "gpt" } ]
[ { "value": "On 8th Feb, 1995 it was Wednesday. The day of the week on 8th Feb, 1994 was\\nOptions:\\n(A) wednesday\\n(B) Tuesday\\n(C) Thursday\\n(D) Friday\\n(E) None Let's think first. Stream of consciousness:", "from": "human" }, { "value": "1994 being an ordinary year, it has 1 odd day. So, the day on 8th Feb, 1995 is one day beyond the day on 8th Feb, 1994. But, 8th Feb, 1995 was Wednesday. 8th Feb, 1994 was Tuesday.\nSo, the answer is (B).", "from": "gpt" } ]
[ { "value": "110 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 150\\n(D) 155\\n(E) 165 Stream of consciousness:", "from": "human" }, { "value": "Final number = Initial number + 50%(original number) = 110 + 50%(110) = 110 + 55 = 165.\nThus, the answer is (E).", "from": "gpt" } ]
[ { "value": "Student: The smallest number which when subtracted from the sum of squares of 11 and 13 gives a perfect square is\\nOptions:\\n(A) 1\\n(B) 4\\n(C) 5\\n(D) 9\\n(E) 8.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "11^2 + 13^2 = 121 + 169 = 290\\n290 - 1 = 289 = 17^2\\n1 must be subtracted to give a perfect square. Final answer: (A).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. A train 350 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 22 sec\\n(B) 16 sec\\n(C) 17 sec\\n(D) 88 sec\\n(E) 20 sec", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 350 * 2/35 = 20 sec\nThe answer: (E).", "from": "gpt" } ]
[ { "value": "Divide Rs.32000 in the ratio 3:9?\\nOptions:\\n(A) 12000, 20000\\n(B) 12000, 200098\\n(C) 12000, 20007\\n(D) 12000, 20006\\n(E) 8000, 24000 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "3/12 * 32000 = 8000\\n9/12 * 32000 = 24000 The answer: (E).", "from": "gpt" } ]
[ { "value": "Question: Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 13 km/hr downstream and 10 km/hr upstream.\\nOptions:\\n(A) 3 kmph\\n(B) 9 kmph\\n(C) 4 kmph\\n(D) 8 kmph\\n(E) 6 kmph Let's think first. Some random reasoning:", "from": "human" }, { "value": "Speed in still water = (13 + 5)1/2 kmph = 9 kmph. The final answer: (B).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. How many Numbers can be formed with digits 2,4,6,8 without repetition?\\nOptions:\\n(A) 124\\n(B) 256\\n(C) 64\\n(D) 84\\n(E) 94", "from": "human" }, { "value": "Number of one digit numbers = 4\\nNumber of two digit numbers = 4 P 2 = 12\\nNumber of Three digit numbers = 4 P 3 = 24\\nNumber of four digit numbers = 4 P 4 = 24\\nSo, total = 24 + 24 + 12 + 4 = 64\nThe final answer: (C).", "from": "gpt" } ]
[ { "value": "The inverse ratio of 6: 2: 1 is?\\nOptions:\\n(A) 2:3:7\\n(B) 2:3:9\\n(C) 2:3:2\\n(D) 1:3:6\\n(E) 2:3:1 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "1/6: 1/2: 1/1 = 1:3:6 So the answer is (D).", "from": "gpt" } ]
[ { "value": "Five coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?\\nOptions:\\n(A) 2^4\\n(B) 2^10\\n(C) 3 * 2^8\\n(D) 3 * 2^9\\n(E) 3 * 2^10 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Fix the third coin as H. The remaining 4 coins have 2^4 outcomes.\nThus, the answer is (A).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 5 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 120 miles\\n(E) 85 miles", "from": "human" }, { "value": "Answer = E. 85 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 3 hours, difference = 30 * 3 = 90 miles\\nFast train trailing 5 miles, so effective difference = 90 - 5 = 85 miles\nThe final answer: (E).", "from": "gpt" } ]
[ { "value": "A motorcyclist goes from Bombay to Delhi, a distance of 200 kms at an average of 50 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Delhi ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 1:7\\n(C) 1:9\\n(D) 1:4\\n(E) 1:1 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "T = 200/50 = 4 h\\nT = 4 - 3 = 1\\nTime Ratio = 4:1\\nSpeed Ratio = 1:4 So the answer is (D).", "from": "gpt" } ]
[ { "value": "Question: The average of first six prime numbers greater than 20 is?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 34 Let's think first. Some random reasoning:", "from": "human" }, { "value": "23 + 29 + 31 + 37 + 41 + 43 = 204/6 = 34 The final answer: (E).", "from": "gpt" } ]
[ { "value": "A train running at the speed of 90 km/hr crosses a pole in 9 seconds. Find the length of the train.\\nOptions:\\n(A) 225 meter\\n(B) 200 meter\\n(C) 250 meter\\n(D) 210 meter\\n(E) 230 meter Let's think first. Stream of consciousness:", "from": "human" }, { "value": "Speed = 90*(5/18) m/sec = 25 m/sec\\nLength of Train (Distance) = Speed * Time\\n(25) * 9 = 225 meter\nSo, the answer is (A).", "from": "gpt" } ]
[ { "value": "A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 6\\n(D) 8\\n(E) 10 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "Mother has a fixed place and father, so there are 2! ways to arrange the children, hence So, the answer is (A).", "from": "gpt" } ]
[ { "value": "An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 720 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "4C3 * 5C2 * 3C2 = 4*60*3 = 720. The answer: (E).", "from": "gpt" } ]
[ { "value": "A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?\\nOptions:\\n(A) 6 days\\n(B) 7 days\\n(C) 5 days\\n(D) 3 days\\n(E) 2 days Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days.\nThe final answer: (A).", "from": "gpt" } ]
[ { "value": "Some question: If a and b are unique prime integers, which of the following must be odd?\\nOptions:\\n(A) a−b\\n(B) 2a+2b\\n(C) 2a−2b\\n(D) 2a / 2b\\n(E) ab^2\nSome stream of consciousness:", "from": "human" }, { "value": "Any number multiplied by 2 has to be an even number. hence The answer: (A).", "from": "gpt" } ]
[ { "value": "In filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be?\\nOptions:\\n(A) 100 cu.m\\n(B) 1000 cu.m\\n(C) 10000 cu.m\\n(D) 100000 cu.m\\n(E) 10000000 cu.m OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "100 * 10 * 10 = 10000 The answer: (C).", "from": "gpt" } ]
[ { "value": "Some question: In a division sum, the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:\\nOptions:\\n(A) 200\\n(B) 251\\n(C) 250\\n(D) 262\\n(E) 254\nSome stream of consciousness:", "from": "human" }, { "value": "Diver = (8*3)+3 = 27\\n3* Quotient = 27\\nQuotient = 9\\nDividend = (Divisor * Quotient) + Remainder\\nDividend = (27 * 9) + 8 = 251 The answer: (B).", "from": "gpt" } ]
[ { "value": "Give stream of consciousness and then the final answer. In the Biotechnology class of 2000, there were X graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. If only 9 people didn't do both, What is X equal to?\\nOptions:\\n(A) 69.\\n(B) 71\\n(C) 73\\n(D) 75\\n(E) 76", "from": "human" }, { "value": "Graduates got job = 32\\nGraduates continued to second degree = 45\\nGraduates got job and continued to second degree = 13\\nGraduates didn't get job and didn't continue to second degree = 9\\nJob No Job Total\\nSecond Degree 13 32 45\\nNo Second Degree 19 9 28\\nTotal 32 41 X\\nTherefore X = 73\nThe final answer: (C).", "from": "gpt" } ]
[ { "value": "The area of a triangle is with base 18m and height 6m?\\nOptions:\\n(A) 88 m2\\n(B) 10 m2\\n(C) 66 m2\\n(D) 54 m2\\n(E) 31 m2 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "1/2 * 18 * 6 = 54 m2\nSo, the answer is (D).", "from": "gpt" } ]
[ { "value": "A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 30 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 7 hours. Harvesting machine K harvested how many acres of wheat per hour?\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 12\\n(D) 3\\n(E) 15 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Rate of H = 7 acres/hr\\nRemaining land to be harvested = 100 - 30 = 70\\nRate of H and K = 70/7 = 10 acres/hr\\nRate of K = 10 - 7 = 3\nThus, the answer is (D).", "from": "gpt" } ]
[ { "value": "How much is 80% of 45 is greater than 4/5 of 25?\\nOptions:\\n(A) 15\\n(B) 57\\n(C) 16\\n(D) 16\\n(E) 73 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "(80/100) * 45 – (4/5) * 25\\n36 - 20 = 16 So the answer is (C).", "from": "gpt" } ]
[ { "value": "A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 310 m long?\\nOptions:\\n(A) 34 Seconds\\n(B) 22 Seconds\\n(C) 41 Seconds\\n(D) 24 Seconds\\n(E) 27 Seconds OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "27 Seconds\\nDistance travelled = 140 + 310m = 450m\\nSpeed = 60 * 5/8 = 50/3m\\nTime = 450 * 3/50 = 27 Seconds The answer: (E).", "from": "gpt" } ]
[ { "value": "Give a quick stream of consciousness before answering the following question. One fourth of one third of two fifth of a number is 15. What will be the 40% of that number is?\\nOptions:\\n(A) 120\\n(B) 130\\n(C) 150\\n(D) 180\\n(E) 250", "from": "human" }, { "value": "(1/4) * (1/3) * (2/5) * x = 15 then x = 15 * 30 = 450\\n40% of 450 = 180\nThe answer: (D).", "from": "gpt" } ]
[ { "value": "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.150. Find the unknown rate of two blankets?\\nOptions:\\n(A) 278\\n(B) 277\\n(C) 278\\n(D) 450\\n(E) 272 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "10 * 150 = 1500\\n3 * 100 + 5 * 150 = 1050\\n1500 – 1050 = 450\nSo, the answer is (D).", "from": "gpt" } ]
[ { "value": "Q: The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?\\nOptions:\\n(A) 277\\n(B) 665\\n(C) 662\\n(D) 552\\n(E) 281 Let's give some random thoughts before answering.", "from": "human" }, { "value": "8 * 84 = 672 – 7 = 665\nTherefore, the answer is (B).", "from": "gpt" } ]
[ { "value": "Q: A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?\\nOptions:\\n(A) 5 days\\n(B) 8 days\\n(C) 6 days\\n(D) 3.15 days\\n(E) 2.75 days Let's give some random thoughts before answering.", "from": "human" }, { "value": "1/8 + 1/14 = 11/56\\n56/11 = 5 days\nTherefore, the answer is (A).", "from": "gpt" } ]
[ { "value": "Question: A can do a piece of work in 4 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\\nOptions:\\n(A) 2hours\\n(B) 3hours\\n(C) 4hours\\n(D) 5hours\\n(E) 6hours Let's think first. Some random reasoning:", "from": "human" }, { "value": "A's 1 hour work = 1/4;\\n(B + C)'s 1 hour work = 1/2;\\n(A + C)'s 1 hour work = 1/2\\n(A + B + C)'s 1 hour work = (1/4 + 1/2) = 3/4\\nB's 1 hour work = (3/4 - 1/2) = 1/4\\nB alone will take 4 hours to do the work. The final answer: (C).", "from": "gpt" } ]
[ { "value": "Question: Solve:-\\n555 x 555 x 555 + 555 x 555 x 555 = ?(555 x 555 - 555 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 333\\n(C) 555\\n(D) 988\\n(E) 1110 Random thoughts:", "from": "human" }, { "value": "Given Exp. = (a3 + b3) = (a + b) = (555 + 555) = 1110(a2 - ab + b2) The final answer: (E).", "from": "gpt" } ]
[ { "value": "A train running at the speed of 60 km/hr crosses a pole in 15 seconds. Find the length of the train.\\nOptions:\\n(A) 150 m\\n(B) 145 m\\n(C) 240 m\\n(D) 135 m\\n(E) 250 m Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Speed = 60*(5/18) m/sec = 50/3 m/sec\\nLength of Train (Distance) = Speed * Time\\n(50/3) * 15 = 250 meter\nThus, the answer is (E).", "from": "gpt" } ]
[ { "value": "Student: Solve below question 4x + 1 = 37\\nOptions:\\n(A) -8\\n(B) -9\\n(C) -5\\n(D) 9\\n(E) 1.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "1. Subtract 1 from both sides: 4x + 1 - 1 = 37 - 1 2. Simplify both sides: 4x = 36 3. Divide both sides by 4: 4. Simplify both sides: x = 9 Final answer: (D).", "from": "gpt" } ]
[ { "value": "A light has a rating of 110 watts, it is replaced with a new light that has 30% higher wattage. How many watts does the new light have?\\nOptions:\\n(A) 143\\n(B) 145\\n(C) 156\\n(D) 134\\n(E) 100 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Final number = Initial number + 30%(original number) = 110 + 30%(110) = 110 + 33 = 143.\nThe final answer: (A).", "from": "gpt" } ]
[ { "value": "Question: An design manager has 10patterns of chairs & 6patterns of tables. In how many ways can he make a pair of table & chair?\\nOptions:\\n(A) 20\\n(B) 60\\n(C) 80\\n(D) 90\\n(E) 100 Let's think first. Some random reasoning:", "from": "human" }, { "value": "He has has ten patterns of chairs and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 6 ways\\nHence one chair and one table can be arranged in 10 x 6 ways = 60 ways The final answer: (B).", "from": "gpt" } ]
[ { "value": "Some question: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?\\nOptions:\\n(A) (5y-1) /(755-y) \\n(B) 5/(755+y) \\n(C) 5y/(755+y) -1\\n(D) 5y/(755+y) \\n(E) 5y\nSome stream of consciousness:", "from": "human" }, { "value": "The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y). The answer: (B).", "from": "gpt" } ]
[ { "value": "5,9,17,29,49,__\\nOptions:\\n(A) 79\\n(B) 80\\n(C) 81\\n(D) 82\\n(E) 83 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(9+5) +3 = 17\\n(16+9) +4 = 29\\n(28+16)+5 = 49\\n(48+28)+6 = 82\nThus, the answer is (D).", "from": "gpt" } ]
[ { "value": "Some question: What is the Mode of the following data set R- {1,2,7,9,6,6,7,7}\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 7\\n(D) 6\\n(E) 9\nSome stream of consciousness:", "from": "human" }, { "value": "Mode of a set is the data point that is repeated the most number of times. In the set given, 7 is repeated. The answer: (C).", "from": "gpt" } ]
[ { "value": "An design manager has 10patterns of chairs & 9patterns of tables. In how many ways can he make a pair of table & chair?\\nOptions:\\n(A) 20\\n(B) 40\\n(C) 80\\n(D) 90\\n(E) 100 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "He has has ten patterns of chairs and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 9 ways\\nHence one chair and one table can be arranged in 10 x 9 ways = 90 ways\nSo, the answer is (D).", "from": "gpt" } ]
[ { "value": "In a school of 850 boys, 46% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) A) 136\\n(B) B) 627\\n(C) C) 153\\n(D) D) 721\\n(E) E) 159 Stream of consciousness:", "from": "human" }, { "value": "46 + 28 + 10 = 84%\\n100 – 84 = 16%\\n850 * 16/100 = 136\nThus, the answer is (A).", "from": "gpt" } ]
[ { "value": "A and B can do a work in 10 days and 15 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?\\nOptions:\\n(A) 6 days\\n(B) 2 days\\n(C) 8 days\\n(D) 4 1/5 days\\n(E) 9 days OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "Work done by A in 3 days = 3/10\\nRemaining work = 7/10\\nWork done by both A and B in one day = 1/10 + 1/15 = 5/30 = 1/6\\nRemaining work = 7/10 * 6/1 = 21/5 = 4 1/5 days. The answer: (D).", "from": "gpt" } ]
[ { "value": "Q: Find the wrong number below mentioned series\\n17, 600,6000,550,750\\nOptions:\\n(A) 600\\n(B) 6000\\n(C) 17\\n(D) 550\\n(E) 750 Let's give some random thoughts before answering.", "from": "human" }, { "value": "17 is the only prime number or odd number in the series.\nTherefore, the answer is (C).", "from": "gpt" } ]
[ { "value": "Some question: What is the area of a square with perimeter 16P ?\\nOptions:\\n(A) 16p^2\\n(B) 4P\\n(C) P^2/4\\n(D) P/16\\n(E) P^2/16\nSome stream of consciousness:", "from": "human" }, { "value": "Each side is 4p\\nA = (4p)^2 = 16(p^2) The answer: (A).", "from": "gpt" } ]
[ { "value": "For some integer x, x^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 41\\n(B) 38\\n(C) 29\\n(D) 31\\n(E) 30 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out. So the answer is (E).", "from": "gpt" } ]
[ { "value": "Q: Find the least number must be subtracted from 964807 so that remaining no.is divisible by 8?\\nOptions:\\n(A) 7\\n(B) 6\\n(C) 5\\n(D) 4\\n(E) 3 Let's give some random thoughts before answering.", "from": "human" }, { "value": "On dividing 964807 by 15 we get the remainder 7, so 7 should be subtracted\nTherefore, the answer is (A).", "from": "gpt" } ]
[ { "value": "What approximate value should come in place of the question mark (?) in the following equation?\\n16√524 + 1492 - 250.0521?\\nOptions:\\n(A) 1600\\n(B) 1800\\n(C) 1900\\n(D) 2400\\n(E) 1400 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "? ≈ 16 × 23 + 1490 – 250 ≈ 1600 So the answer is (A).", "from": "gpt" } ]
[ { "value": "Claim: \"Only people named Floyd wearing pink are allowed to attend Pink Floyd concerts.\"\\nIs the claim above correct, and can it be verified by human common sense and without a web search?\\nOptions:\\n- yes\\n- no Step-by-step reasoning process:", "from": "human" }, { "value": "The rock group would not be as popular is they had such requirements for their concerts. Therefore, the final answer is no.", "from": "gpt" } ]
[ { "value": "Marlboro used iconic imagery to promote its brand.\\nIs the above claim true?\\nOptions:\\n- yes\\n- no\nYour chain-of-thought:", "from": "human" }, { "value": "Marlboro (cigarette) is used cowboys as an advertising campaign. The answer is yes.", "from": "gpt" } ]
[ { "value": "Question: Is the following a factual statement?\\n\"Larry King served tea during his show.\"\\nOptions:\\n- yes\\n- no Let's think first. Step-by-step reasoning:", "from": "human" }, { "value": "He had a set format that did not involve tea.\nSo, the final answer is no.", "from": "gpt" } ]
[ { "value": "Yes / no, is the following a verifiable fact?\\n\"The crack in the Liberty Bell sets it apart from other famous bells.\"\nYour chain-of-thought:", "from": "human" }, { "value": "The Liberty Bell is famous for having a large crack in its side. The answer is yes.", "from": "gpt" } ]
[ { "value": "Question: Claim: \"Ian Kilmister, Larry Wallis and Lucas Fox were the people who formed the music band Motörhead.\"\\nIs the claim above correct, and can it be verified by human common sense and without a web search?\\nOptions:\\n- yes\\n- no Let's think first. Step-by-step reasoning:", "from": "human" }, { "value": "Motörhead were a British rock band formed in June 1975 by bassist, singer, songwriter and only constant member Ian \"Lemmy\" Kilmister, guitarist Larry Wallis and drummer Lucas Fox.\nSo, the final answer is yes.", "from": "gpt" } ]
[ { "value": "Q: Margaret Atwood has published 18 books of poetry, 18 novels, 11 books of non-fiction, nine collections of short fiction and so on.\\nIs the above claim true?\\nOptions:\\n- yes\\n- no\nChain-of-thought:", "from": "human" }, { "value": "Margaret Atwood is a Canadian poet, novelist, literary critic, essayist, teacher, environmental activist, and inventor and she published various books. The answer: yes.", "from": "gpt" } ]
[ { "value": "Given the following question, let's solve step-by-step. Is the following statement true?\\n\"A Jury may decide whether a criminal is guilty or innocent.\"\n", "from": "human" }, { "value": "Juries are used in the American legal system to decide the outcomes of criminal trials.\nThe final answer: yes.", "from": "gpt" } ]
[ { "value": "Is the following sentence factually correct?\\n\"Tony Bennett sings many classic tunes and is famous for singing I Left My Heart in San Francisco.\"\\nOptions:\\n- yes\\n- no\nChain of thought and solution for this question is:", "from": "human" }, { "value": "Toney Bennett croons a variety of famous songs and \"I Left My Heart in San Francisco\" is one of his biggest hits.\nSo, the answer is yes.", "from": "gpt" } ]
[ { "value": "Is the following a factual statement?\\n\"Macbeth received a prophecy that one day he will become King of Scotland.\"\\nOptions:\\n- yes\\n- no The thought process:", "from": "human" }, { "value": "Macbeth receives a prophecy from a trio of witches that one day he will become King of Scotland.\nTherefore, the answer is yes.", "from": "gpt" } ]
[ { "value": "Given the following question, let's solve step-by-step. Yes / no, is the following a verifiable fact?\\n\"The Peach belongs to a group of seedless fruit.\"\n", "from": "human" }, { "value": "Peaches have one large seed surrounded by the flesh of the fruit.\nThe final answer: no.", "from": "gpt" } ]
[ { "value": "Claim: \"Length acts as measurement of a physical property of how long something is.\"\\nIs the claim above correct, and can it be verified by human common sense and without a web search?\\nOptions:\\n- yes\\n- no Step-by-step reasoning process:", "from": "human" }, { "value": "Length is used to determine how long something is. Therefore, the final answer is yes.", "from": "gpt" } ]
[ { "value": "Q: Pythagoras put forth the Pythagoras theory.\\nIs the above claim true?\\nOptions:\\n- yes\\n- no\nChain-of-thought:", "from": "human" }, { "value": "The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse. Pythagoras was the first to prove this. The answer: yes.", "from": "gpt" } ]
[ { "value": "Is the following statement true?\\n\"One travels along the road when riding in a Citroën.\" The thought process:", "from": "human" }, { "value": "Citroën manufacturers vehicles such as cars and buses.\nTherefore, the answer is yes.", "from": "gpt" } ]
[ { "value": "Is the following sentence factually correct?\\n\"Reading Romantic poetry is not accepted in out culture.\"\\nOptions:\\n- yes\\n- no Step-by-step reasoning process:", "from": "human" }, { "value": "Our culture does not find anything wrong with reading romantic poetry. Therefore, the final answer is no.", "from": "gpt" } ]
[ { "value": "Given the following question, let's solve step-by-step. Yes / no, is the following a verifiable fact?\\n\"Short-eared dogs have the biggest wings of all the mammals.\"\n", "from": "human" }, { "value": "Short-eared dogs actually do not have wings at all.\nThe final answer: no.", "from": "gpt" } ]
[ { "value": "Claim: \"Fault requires action to be taken to fix it.\"\\nIs the claim above correct, and can it be verified by human common sense and without a web search?\\nOptions:\\n- yes\\n- no\nYour chain-of-thought:", "from": "human" }, { "value": "Fault (geology) is actually a structural geology and does not refer to mistake made. The answer is no.", "from": "gpt" } ]
[ { "value": "Q: Is the following a factual statement?\\n\"The National Weather Service serves weather with take-out delivery as well as in a sit-down environment.\"\\nOptions:\\n- yes\\n- no\nChain-of-thought:", "from": "human" }, { "value": "The National Weather Service is an information service and not a restaurant. The answer: no.", "from": "gpt" } ]
[ { "value": "Yes / no, is the following a verifiable fact?\\n\"Jason Mraz invented the electric guitar while fighting in the trenches in World War I.\" The thought process:", "from": "human" }, { "value": "Jason Mraz did not fight in World War I and someone else invented the electric guitar.\nTherefore, the answer is no.", "from": "gpt" } ]
[ { "value": "Q: Does the following sentence make sense?\\n\"The Crane lives on all continents except Antarctica.\"\\nOptions:\\n- yes\\n- no\nChain-of-thought:", "from": "human" }, { "value": "Cranes live on all continents except Antarctica and South America. The answer: no.", "from": "gpt" } ]
[ { "value": "Is the following sentence factually correct?\\n\"Recent classified documents states that a Dyson Sphere was found around a distant star using the Hubble Space Telescope.\"\\nOptions:\\n- yes\\n- no Let's think first. Step-by-step reasoning process:", "from": "human" }, { "value": "No structures besides ours have ever been found in space. So, the answer is no.", "from": "gpt" } ]
[ { "value": "Given the following question, let's solve step-by-step. Is the following a factual statement?\\n\"Kid Cudi recently graduated from preschool.\"\\nOptions:\\n- yes\\n- no\n", "from": "human" }, { "value": "Kid Cudi is an acclaimed rapper and there are no children that rap that are of the preschool age.\nThe final answer: no.", "from": "gpt" } ]
[ { "value": "Question: Yes / no, is the following a verifiable fact?\\n\"Eddie Murphy makes entire audiences laugh out loud.\" Let's think first. Step-by-step reasoning:", "from": "human" }, { "value": "Eddie Murphy is a comedian that is very popular and funny.\nSo, the final answer is yes.", "from": "gpt" } ]