conversations
list
[ { "value": "Some question: Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 6 12/13 sec\\n(B) 7 1/7 sec\\n(C) 7 2/2 sec\\n(D) 8 1/2 sec\\n(E) 7 1/9 sec\nSome stream of c...
[ { "value": "There are 20 balls in a jar. You take out 2 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?\\nOptions:\\n(A) 12.\\n(B) 9.\\n(C) 8.\\n(D) 7.\\n(E) 6. Let's think first. Stream of consciousness:", ...
[ { "value": "The average of 11 results is 53, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\\nOptions:\\n(A) A) 46\\n(B) B) 23\\n(C) C) 66\\n(D) D) 76\\n(E) E) 74 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "1 to 11 ...
[ { "value": "Use some thinking to answer the following question. People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt...
[ { "value": "A train 480 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\\nOptions:\\n(A) 22 kmph\\n(B) 108 kmph\\n(C) 54 kmph\\n(D) 71 kmph\\n(E) 88 kmph Let's think first. Stream of consciousness:", "from": "human" }, { "value": "S = 480/16 * 18/5 = 108 kmph\nSo, the ...
[ { "value": "Some question: A 600 meter long train crosses a signal post in 60 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) 6 min\\n(D) 9 min\\n(E) 5 min\nSome stream of consciousness:", "from": "human" }, { "value": "S...
[ { "value": "The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\\nOptions:\\n(A) 11\\n(B) 12\\n(C) 30\\n(D) 98\\n(E) 15 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "20 + 24 + 8...
[ { "value": "A small company employs 5 men and 3 women. If a team of 4 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) 1/2\\n(E) 3/7 Let's think first. Stream of consciousnes...
[ { "value": "Question: Right triangle PQR is the base of the prism in the figure above. If PQ=PR=√5 and the height of the prism is 10, what is the volume of the prism?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 15\\n(D) 20\\n(E) 25 Let's think first. Some random reasoning:", "from": "human" }, { "value": "V...
[ { "value": "Question: 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 $234 for it, the cost price of the Cricket Bat for A is:\\nOptions:\\n(A) 156\\n(B) 120\\n(C) 130\\n(D) 160\\n(E) 210 Let's think first. Some random reasoning:", "from": "human" }, { "v...
[ { "value": "The average age of a family of 6 members is 28 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 Think first, then make a decision. Some random thoughts:", "from":...
[ { "value": "The average age of 11 boys is 50, if the average age of first six boys is 49 and that of the last six is 52. Find the boy age?\\nOptions:\\n(A) 48\\n(B) 50\\n(C) 56\\n(D) 62\\n(E) 64 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "1 to 11 = 11 * 50 = 550\\n1 ...
[ { "value": "Give a quick stream of consciousness before answering the following question. in how many ways can six members be selected from a group of ten members?\\nOptions:\\n(A) 10C6\\n(B) 10C4\\n(C) 10C9\\n(D) 10C2\\n(E) 10C1", "from": "human" }, { "value": "Six members can be selected from ten ...
[ { "value": "Give a quick stream of consciousness before answering the following question. a certain organization has three committees. only two persons are members of all committees, but every pair of committees have three members in common. what is the least possible no of member of members on any one committe...
[ { "value": "Question: There are 11 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?\\nOptions:\\n(A) 4!*2!\\n(B) 7!*2!\\n(C) 6!*1!\\n(D) 2!*1!\\n(E) 8!*2! Let's think first. Some random...
[ { "value": "a, b, c, and d are positive integers where a is a factor of b and c is a factor of d. Which of the following is NOT necessarily an integer?\\nOptions:\\n(A) (ac) /(bd) \\n(B) (bd) /(ac) \\n(C) (bcd) /a\\n(D) d/c + b/a\\n(E) (a + b) d/c Now, let's think a bit. Some random thoughts:", "from": "hum...
[ { "value": "Q: An design manager has 10patterns of chairs & 10patterns 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 give some random thoughts before answering.", "from": "human" }, { "value": "He has has ten patterns ...
[ { "value": "Q: In what time a sum of money double itself at 6% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 16 2/3%\\n(C) 33 7/3%\\n(D) 32 1/3%\\n(E) 23 1/3% Let's give some random thoughts before answering.", "from": "human" }, { "value": "P = (P*6*R)/100\\nR = 16 2/3%\nTherefore, the ...
[ { "value": "An design manager has 10patterns of chairs & 8patterns 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 ...
[ { "value": "Rs.600 amounts to Rs.900 in 3 years at simple interest. If the interest is increased by 4%, it would amount to how much?\\nOptions:\\n(A) 672\\n(B) 246\\n(C) 258\\n(D) 856\\n(E) 653 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "(600*3*4)/100 = 72\\...
[ { "value": "Use some thinking to answer the following question. 70 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 105\\n(D) 30\\n(E) 160", "from": "human" }, { "value": "Final number = Initial number + 50%(original number) = 70 + 50%(70) = 70 + 35 = 105. So the fina...
[ { "value": "Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a green shirt. If there are more than 5 people in line...
[ { "value": "Give stream of consciousness and then the final answer. A train 350 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) 20 sec\\n(E) 25 sec", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 350...
[ { "value": "Use some thinking to answer the following question. A motorcyclist goes from Bombay to Pune, a distance of 256 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 th...
[ { "value": "Question: Every Sunday, Giri jogs 3 miles. For the rest of the week, each day he jogs 1 mile more than the previous day. How many miles does giri jog in 2 weeks ?\\nOptions:\\n(A) 42\\n(B) 63\\n(C) 84\\n(D) 98\\n(E) 108 Let's think first. Some random reasoning:", "from": "human" }, { "va...
[ { "value": "The average age of a family of 6 members is 26 years.If the age of the youngest member is 10 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) 16\\n(D) 12\\n(E) 19 Stream of consciousness first, then make a decision:", "from": "h...
[ { "value": "Use some thinking to answer the following question. What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?\\nOptions:\\n(A) 29893\\n(B) 27773\\n(C) 25600\\n(D) 28800\\n(E) 29883", "from": "human" }, { "value": "Simple interest = (16000 * 4 * 15)/10...
[ { "value": "Give a quick stream of consciousness before answering the following question. What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\\nOptions:\\n(A) 228777\\n(B) 26788\\n(C) 26088\\n(D) 28800\\n(E) 67881", "from": "human" }, { "value": "Simple int...
[ { "value": "Student: The average of seven numbers is 20. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\\nOptions:\\n(A) 27\\n(B) 29\\n(C) 31\\n(D) 41\\n(E) 35.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "T...
[ { "value": "Some question: A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. What is the greatest two digit prime saturated integer ?\\nOptions:\\n(A) 99\\n(B) 98\\n(C) 97\\n(D) 96 answer\\n(E) 95\nSome stream of consciousne...
[ { "value": "Some question: A motorcyclist goes from Bombay to Pune, a distance of 128 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) 1:3\\n(B) 1:5...
[ { "value": "Some question: The average age of A, B and C is 28 years. If the average age of A and C is 29 years, what is the age of B in years ?\\nOptions:\\n(A) 19\\n(B) 26\\n(C) 20\\n(D) 32\\n(E) 21\nSome stream of consciousness:", "from": "human" }, { "value": "Age of B = Age of (A + B + C) – A...
[ { "value": "Use some thinking to answer the following question. The edge of a cube is 6a cm. Find its surface?\\nOptions:\\n(A) 216a2\\n(B) 24a4\\n(C) 24a1\\n(D) 24a2\\n(E) 24a7", "from": "human" }, { "value": "6a2 = 6 * 6a * 6a = 216a2 So the final answer is (A).", "from": "gpt" } ]
[ { "value": "Use some thinking to answer the following question. Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?\\nOptions:\\n(A) Nitin\\n(B) Sukhbir\\n(C) Manoj\\n(D) Data inadequate\\n(E) None of these", "...
[ { "value": "Give stream of consciousness and then the final answer. In an office, 30 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...
[ { "value": "Student: 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 8 hrs. The number of hours that pat, a resident of town X, watched televis...
[ { "value": "A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.\\nOptions:\\n(A) 110 meter\\n(B) 120 meter\\n(C) 100 meter\\n(D) 90 meter\\n(E) 105 meter Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Speed = ...
[ { "value": "Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 3.5\\n(D) 4\\n(E) 4.5 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "valu...
[ { "value": "If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 12/15 Find P(B|A)\\nOptions:\\n(A) 1/2\\n(B) 2/3\\n(C) 3/2\\n(D) 4/5\\n(E) 6 OK. Let's think. Some random thoughts first:", "from": "human" }, { "value": "P(B|A) = P(A ∪ B)/P(A)\\nP(B|A) = (12/15)/(2/15) = 6. The answer: (E).", "from": ...
[ { "value": "Some question: In case K is the only individual sewing on committee B, which among the following shouldserve on committee A?\\nOptions:\\n(A) V and U\\n(B) V and T\\n(C) U and S\\n(D) L and M\\n(E) T and U\nSome stream of consciousness:", "from": "human" }, { "value": "L and M should ser...
[ { "value": "Question: 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) 450\\n(B) 200\\n(C) 25...
[ { "value": "Question: The difference between the place value and the face value of 6 in the numeral 856973 is\\nOptions:\\n(A) 5994\\n(B) 6973\\n(C) 973\\n(D) 1000\\n(E) 7000 Let's think first. Some random reasoning:", "from": "human" }, { "value": "(Place value of 6) - (Face value of 6) = (6000 - 6...
[ { "value": "A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 15 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?\\nOptions:\\n(A) 2,060\\n(B) 1,320\\n...
[ { "value": "The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\\nOptions:\\n(A) 337\\n(B) 267\\n(C) 342\\n(D) 287\\n(E) 261 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "400*(90/100)*(95/100) = 342\nThus, the answer is (C).", ...
[ { "value": "Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?\\nOptions:\\n(A) 328\\n(B) 150\\n(C) 279\\n(D) 277\\n(E) 267 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "1/2 * 20(9 + 6) = 150 cm2 So, the answer is (B).", "from...
[ { "value": "Some question: A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is?\\nOptions:\\n(A) 277\\n(B) 268\\n(C) 270\\n(D) 150\\n(E) 282\nSome stream of consciousness:", "from": "human" }, { "value": "125...
[ { "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...
[ { "value": "Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?\\nOptions:\\n(A) 57%\\n(B) 60%\\n(C) 90%\\n(D) 65%\\n(E) 70% Think first, then make a decision. Some random thoughts:", "from": "human" ...
[ { "value": "How much is 70% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 12\\n(B) 27\\n(C) 18\\n(D) 12\\n(E) 8 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "(70/100) * 40 – (4/5) * 25\\n28- 20 = 8\nSo, the answer is (E).", "from": "gpt" } ]
[ { "value": "The average of 13 numbers is 60. Average of the first 7 of them is 56 and that of the last 7 is 61. Find the 8th number?\\nOptions:\\n(A) 39\\n(B) 83\\n(C) 45\\n(D) 53\\n(E) 64 Think first, then make a decision. Some random thoughts:", "from": "human" }, { "value": "Sum of all the 13 num...
[ { "value": "Give stream of consciousness and then the final answer. 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 $222 for it, the cost price of the Cricket Bat for A is:\\nOptions:\\n(A) 150\\n(B) 148\\n(C) 130\\n(D) 160\\n(E) 210", "from": "human" }, { ...
[ { "value": "Student: By how much is 50% of 250 greater than 25% of 400.\\nOptions:\\n(A) 25\\n(B) 26\\n(C) 29\\n(D) 39\\n(E) 26.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "(50/100) * 250 – (25/100) * 400\\n125 - 100 = 25 Final answer: (B).", "from": "gpt" } ]
[ { "value": "A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 16\\n(C) 70\\n(D) 36\\n(E) 12 Stream of consciousness first, then make a decision:", "from": "hu...
[ { "value": "Use some thinking to answer the following question. If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 288\\n(B) 162\\n(C) 189\\n(D) 168\\n(E) 122", "from": "human" }, { "value": "14 m/s = 14 * 18/5 kmph\\n3 hours 45 minut...
[ { "value": "What is the are of an equilateral triangle of side 16 cm?\\nOptions:\\n(A) 66√3 cm2\\n(B) 74√3 cm2\\n(C) 64√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 = 16, Area of triangle = √3/...
[ { "value": "Give stream of consciousness and then the final answer. A train 420 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 36 sec\\n(B) 16 sec\\n(C) 17 sec\\n(D) 88 sec\\n(E) 12 sec", "from": "human" }, { "value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 420...
[ { "value": "Use some thinking to answer the following question. Using all the letters of the word \"THURSDAY\", how many different words can be formed?\\nOptions:\\n(A) 8\\n(B) 8!\\n(C) 7!\\n(D) 7\\n(E) 5", "from": "human" }, { "value": "Total number of letters = 8\\nUsing these letters the number o...
[ { "value": "Use some thinking to answer the following question. What is the probability that Company W's advertisement will be one of the first two be shown during the first commercial break?\\nOptions:\\n(A) 1/ 225\\n(B) 1 / 30\\n(C) 1 /15\\n(D) 2 / 15\\n(E) 4 /15", "from": "human" }, { "value...
[ { "value": "Question: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 41, what is the value of K?\\nOptions:\\n(A) 41\\n(B) 15 3/4\\n(C) 22\\n(D) 23\\n(E) 25 3/10 Random thoughts:", "from": "human" }, { "value": "K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\\n(11K -1...
[ { "value": "Use some thinking to answer the following question. Two trains are moving at 50 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 6 ½ sec\\n(B) 9 ½ sec\\n(C) 3 ½ sec\\n(D) 7 ½ sec\\n(E) ...
[ { "value": "A train 360 m long is running at a speed of 36 km/hr. In what time will it pass a bridge 140 m long?\\nOptions:\\n(A) 40 sec\\n(B) 50 sec\\n(C) 88 sec\\n(D) 19 sec\\n(E) 10 sec Stream of consciousness:", "from": "human" }, { "value": "Speed = 36 * 5/18 = 10 m/sec\\nTotal distance covered...
[ { "value": "Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 54% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a ...
[ { "value": "If 20m − 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) 7m\\n(E) 6m/5 Let's think first. Stream of consciousness:", "from": "human" }, { "value": "20m - n = p\\nAdd n to both sides:...
[ { "value": "In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavi...
[ { "value": "Use some thinking to answer the following question. Two pipes A and B can fill a cistern in 37 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the B is turned off after:\\nOptions:\\n(A) 9 minutes\\n(B) 7\\n(C) 6\\n(D) 5\\n(E) 4", "...
[ { "value": "The average of first 17 even numbers is?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 18\\n(D) 20\\n(E) 24 Stream of consciousness:", "from": "human" }, { "value": "Sum of 17 even numbers = 17 * 18 = 306\\nAverage = 306/17 = 18\nThus, the answer is (C).", "from": "gpt" } ]
[ { "value": "Use some thinking to answer the following question. If rupee one produces rupees nine over a period of 40 years, find the rate of simple interest?\\nOptions:\\n(A) 22 1/8 %\\n(B) 22 9/2 %\\n(C) 22 1/7 %\\n(D) 22 1/2 %\\n(E) 21 1/2 %", "from": "human" }, { "value": "9 = (1*40*R)/100\\nR =...
[ { "value": "In digging a grave 200 m * 100 m * 3 m the volumes of the dirt to be extracted will be?\\nOptions:\\n(A) 600 cu.m\\n(B) 12000 cu.m\\n(C) 6000 cu.m\\n(D) 60000 cu.m\\n(E) 4000 cu.m Hmmm, my stream of consciousness:", "from": "human" }, { "value": "200 * 100 * 3 = 60000 So, the answer is (...
[ { "value": "Some question: A car traveled from San Diego to San Francisco at an average speed of 54 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\\nOptions:\\n(A) 24.\\n(B) 32.\\n(C) 36.\\n(D) 42.\\n(E) 44.\nSome stream of consciousness:", "from": "human" ...
[ { "value": "In g is a positive integer smaller than 200 and (14g)/60 is an integer, then g has how many different positive prime factors?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 5\\n(D) 6\\n(E) 8 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "7g/30 tells us that g is a facto...
[ { "value": "The edge of a cube is 9a cm. Find its surface?\\nOptions:\\n(A) 153a2 cm2\\n(B) 143a2 cm2\\n(C) 233a2 cm2\\n(D) 243a2 cm2\\n(E) 253a2 cm2 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "6a2 = 6 * 9a * 9a = 243a2\nThe final answer: (D).", "from": "gpt" ...
[ { "value": "Give a quick stream of consciousness before answering the following question. 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.157. Find the u...
[ { "value": "Q: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.\\nOptions:\\n(A) 1/7\\n(B) 1/2\\n(C) 3/7\\n(D) 2/3\\n(E) 1/3 Let's give some random thoughts before answering.", "from": "human" }, { "value": "...
[ { "value": "Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face...
[ { "value": "A 160 meter long train crosses a man standing on the platform in 18 sec. What is the speed of the train?\\nOptions:\\n(A) 96 kmph\\n(B) 94 kmph\\n(C) 32 kmph\\n(D) 56 kmph\\n(E) 76 kmph Let's think first. Stream of consciousness:", "from": "human" }, { "value": "S = 160/18 * 18/5 = 32 km...
[ { "value": "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 3 o’clock the faster train is 15 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 45...
[ { "value": "Use some thinking to answer the following question. What is the least number should be added to 1056, so the sum of the number is completely divisible by 28?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 8", "from": "human" }, { "value": "(1056 / 28) gives remainder 20\\n20 + 8 = 28, ...
[ { "value": "Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\\nOptions:\\n(A) 5/9\\n(B) 5/12\\n(C) 1/36\\n(D) 7/12\\n(E) 4/9 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Using question number 11 and...
[ { "value": "A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?\\nOptions:\\n(A) 165\\n(B) 185\\n(C) 205\\n(D) 225\\n(E) 245 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "Total number of persons in the committe...
[ { "value": "Give stream of consciousness and then the final answer. In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 9/10\\n(B) 16/20\\n(C) 2/5\\n(D) 3/5\\n(E) ½", "from": "human" }, ...
[ { "value": "Q: Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?\\nOptions:\\n(A) 3\\n(B) 2\\n(C) 4\\n(D) 1\\n(E) 5 Let's give some random thoughts before answering.", "from": "human" },...
[ { "value": "Question: A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\\nOptions:\\n(A) 9 days\\n(B) 8 days\\n(C) 5 days\\n(D) 54 days\\n(E) 2 days Random thoughts:", "from": "human"...
[ { "value": "There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?\\nOptions:\\n(A) 2/9\\n(B) 2/5\\n(C) 7/9\\n(D) 4/5\\n(E) 8/9 Stream of consciousness first, then make a decision:", "from": "human" }, { ...
[ { "value": "Give a quick stream of consciousness before answering the following question. 10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?\\nOptions:\\n(A) 6\\n(B) 7 2⁄3\...
[ { "value": "Give a quick stream of consciousness before answering the following question. If a and b are unique prime integers, which of the following must be even?\\nOptions:\\n(A) a−b\\n(B) a−2b\\n(C) 2a−2b\\n(D) 2a−b\\n(E) ab^2", "from": "human" }, { "value": "Let's assume that a is an even prime...
[ { "value": "90 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 135\\n(D) 140\\n(E) 160 Now, let's think a bit. Some random thoughts:", "from": "human" }, { "value": "Final number = Initial number + 50%(original number) = 90 + 50%(90) = 90 + 45 = 135.\nThe final answe...
[ { "value": "If Raj shares all of his amount equally among his five friends then each of his friend's amount increased by $10 then Raj had how much?\\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": "Five friends...
[ { "value": "Give stream of consciousness and then the final answer. Find the third proportional to 3 and 9?\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 27\\n(D) 19\\n(E) 20", "from": "human" }, { "value": "Formula = Third proportional = (b × b)/a\\nA = 3 and B = 9\\n(9 x 9)/ 3 = 81/3 = 27\nThe final answer: ...
[ { "value": "What is the probability that Company G's advertisement will be one of the first two be shown during the first commercial break?\\nOptions:\\n(A) 1/ 225\\n(B) 1 / 30\\n(C) 1 /15\\n(D) 2 / 15\\n(E) 4 /15 Hmmm, my stream of consciousness:", "from": "human" }, { "value": "G 1/15 + (14/1...
[ { "value": "Student: Solve below question 2x + 1 = -23\\nOptions:\\n(A) -8\\n(B) -9\\n(C) -12\\n(D) -4\\n(E) 12.\nAnother student: Let's say, hmmm...\n", "from": "human" }, { "value": "1. Subtract 1 from both sides: 2x + 1 - 1 = -23 - 1 2. Simplify both sides: 2x = -24 3. Divide both sides by 2: 4. ...
[ { "value": "Q: The average of seven results is 156 and that of the first six is 169. The fifth result is?\\nOptions:\\n(A) 120\\n(B) 160\\n(C) 89\\n(D) 78\\n(E) 148 Let's give some random thoughts before answering.", "from": "human" }, { "value": "7 * 156 – 6 * 169 = 78\nTherefore, the answer is (...
[ { "value": "What is the area of a square with perimeter 8P ?\\nOptions:\\n(A) 16p^2\\n(B) 4P^2\\n(C) P^2/4\\n(D) P/16\\n(E) P^2/16 Stream of consciousness:", "from": "human" }, { "value": "Each side is 2p\\nA = (2p)^2 = 4(p^2)\nThus, the answer is (B).", "from": "gpt" } ]
[ { "value": "Question: Some persons can do a piece of work in 20 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 Random thoughts:", "from": "human" }, { "value": "20/ (2 * 2) = 5 days The final answer: (C).", "from": "gpt...
[ { "value": "Find the wrong number below mentioned series\\n11,150,280,560,800\\nOptions:\\n(A) 800\\n(B) 560\\n(C) 280\\n(D) 150\\n(E) 11 Stream of consciousness first, then make a decision:", "from": "human" }, { "value": "11 is the only prime number or odd number in the series.\nThus, the answer i...
[ { "value": "A car traveled from San Diego to San Francisco at an average speed of 63 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\\nOptions:\\n(A) 24.\\n(B) 32.\\n(C) 36.\\n(D) 42.\\n(E) 44. Let's think first. Stream of consciousness:", "from": "human" },...
[ { "value": "The rowing athletes in a rowing conference voted for coach of the year. Each rower who voted chose exactly 3 coaches to vote for among the 36 coaches in the conference. If each of the 36 coaches received exactly 5 votes (a 36 way tie), how many rowers voted for coach of the year?\\nOptions:\\n(A) 60...
[ { "value": "Give stream of consciousness and then the final answer. Every day, Fred takes the train to travel from his work back to Alkmaar, his place of residence. Usually, he arrives at the station of Alkmaar at six o'clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, Fred too...
[ { "value": "What is the % change in the area of a rectangle when its length increases by 20% and its width decreases by 20%?\\nOptions:\\n(A) 0%\\n(B) 20% increase\\n(C) 20% decrease\\n(D) 4% decrease\\n(E) Insufficient data Stream of consciousness:", "from": "human" }, { "value": "(12/10)*(8/10) = ...
[ { "value": "Question: A 160 meter long train crosses a man standing on the platform in 12 sec. What is the speed of the train?\\nOptions:\\n(A) 48 kmph\\n(B) 54 kmph\\n(C) 92 kmph\\n(D) 86 kmph\\n(E) 76 kmph Random thoughts:", "from": "human" }, { "value": "S = 160/12 * 18/5 = 48 kmph The final answ...
[ { "value": "Use some thinking to answer the following question. How much is 60% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 4\\n(B) 6\\n(C) 10\\n(D) 8\\n(E) 13", "from": "human" }, { "value": "60/100) * 40 – (4/5) * 25\\n24 - 20 = 4 So the final answer is (A).", "from": "gpt" } ]