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 consciousness:",
"from": "human"
},
{
"value": "70 + 60 = 130 * 5/18 = 325/9 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 9/325 = 90/13 = 6 12/13 sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"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:",
"from": "human"
},
{
"value": "12 = 3 blue balls + 18 / 2\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"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 = 11 * 53 = 583\\n1 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 583 = 23\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"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. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\\nOptions:\\n(A) 27\\n(B) 38\\n(C) 53\\n(D) 63\\n(E) 78",
"from": "human"
},
{
"value": "The correct answer should not take the form: 5x + 3. Hence, it is So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"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 answer is (B).",
"from": "gpt"
}
] |
[
{
"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 = 600/60 = 10 mps\\nS = 3600/10 = 360 sec = 6 min The answer: (C).",
"from": "gpt"
}
] |
[
{
"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 * 2 = 60/2 = 30 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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 consciousness:",
"from": "human"
},
{
"value": "Total ways to choose 4 employees from 8 employees = 8C4\\nTwo women = 3C2\\nTwo Men = 5C2\\nP = (5C2 * 3C2)/8C2 = 3/7 hence\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"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": "Volume of prism = Area of base * height = 1/2* (square root of 5) * (square root of 5)*10 = 25 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"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"
},
{
"value": "125% of 120% of A = 234\\n125/100 * 120/100 * A = 234\\nA = 234 * 2/3 = 156. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"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": "human"
},
{
"value": "Present age of total members = 6 X 28 = 168\\n7 yrs back their ages were = 6 x 7 = 42\\nAges at the birth of youngest member = 168 - 42 = 126\\nTherefore, avg age at the birth of youngest member = 126/6 = 21. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"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 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 550 = 56\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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 members in\\n10C6 = 10C4 ways.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"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 committee?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 8",
"from": "human"
},
{
"value": "Total 4 members minimum required to serve only on one committee.\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"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 reasoning:",
"from": "human"
},
{
"value": "Total number of ways = 8!*2!. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"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": "human"
},
{
"value": "As per the question, let a = 2, b = 6, c = 5, and d = 10. Plugging these into the answer choices, only A does not yield an integer.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"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 of chairs and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 10 ways\\nHence one chair and one table can be arranged in 10 x 10 ways = 100 ways\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"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 answer is (B).",
"from": "gpt"
}
] |
[
{
"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 and eight patterns of tables\\nHence, A chair can be arranged in 10 ways and\\nA table can be arranged in 8 ways\\nHence one chair and one table can be arranged in 10 x 8 ways = 80 ways\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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\\n600 + 72 = 672\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"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 final answer is (C).",
"from": "gpt"
}
] |
[
{
"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, which of the following cannot be the number of people in the line?\\nOptions:\\n(A) 22\\n(B) 42\\n(C) 52\\n(D) 62\\n(E) 71 Random thoughts:",
"from": "human"
},
{
"value": "The correct answer should not take the form: 5x + 2. Hence, it is The final answer: (E).",
"from": "gpt"
}
] |
[
{
"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 * 2/35 = 20 sec\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"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 the car?\\nOptions:\\n(A) 1:2\\n(B) 1:5\\n(C) 1:4\\n(D) 1:1\\n(E) 5:8",
"from": "human"
},
{
"value": "T = 256/32 = 8 h\\nT = 8 - 3 = 5\\nTime Ratio = 8:5\\nSpeed Ratio = 5:8 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"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"
},
{
"value": "In one week, Giri jogs 3 + 4 + 5 + 6 + 7 + 8 + 9 = 42 miles\\nIn two weeks, Giri jogs 84 miles. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"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": "human"
},
{
"value": "Present age of total members = 6 X 26 = 156\\n10 yrs back their ages were = 6 x 10 = 60\\nAges at the birth of youngest member = 156 - 60 = 96\\nTherefore, avg age at the birth of youngest member = 96/6 = 16.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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)/100 = Rs. 9600\\nAmount = P + I = 16000 + 9600 = Rs. 25600 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"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 interest = (18000 * 4 * 15)/100 = Rs. 10800\\nAmount = P + I = 18000 + 10800 = Rs. 28800\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"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": "The total of seven numbers = 7X20 = 140\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\\nSo, the middle number is (140 - 99 ) = 41 Final answer: (D).",
"from": "gpt"
}
] |
[
{
"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 consciousness:",
"from": "human"
},
{
"value": "The square roots of all numbers from answer choices are between 9 and 10, so the product of primes of the number we are looking should be less then 9, so this number should have only 2-s, only 3-s, only 5-s, or only 2-s and 3-s as its primes. Only 96 satisfies this. The answer: (D).",
"from": "gpt"
}
] |
[
{
"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\\n(C) 1:4\\n(D) 1:1\\n(E) 1:8\nSome stream of consciousness:",
"from": "human"
},
{
"value": "T = 128/32 = 4 h\\nT = 4 - 3 = 1\\nTime Ratio = 4:1 = 4:1\\nSpeed Ratio = 1:4 The answer: (C).",
"from": "gpt"
}
] |
[
{
"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) – Age of (A + C) = 28 × 3 – 29 × 2 = 84 – 58 = 26 years The answer: (B).",
"from": "gpt"
}
] |
[
{
"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",
"from": "human"
},
{
"value": "Data Inadequate. As No relation is given among Randhir and Nitin. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"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 fewer than 10 years of service?\\nOptions:\\n(A) 480\\n(B) 48\\n(C) 50\\n(D) 144\\n(E) 160",
"from": "human"
},
{
"value": "(10/100)Workers = 16 = > number of workers = 160\\n(30/100)*Workers = x+16 = > x = 48\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"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 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) 12\\n(E) 6.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "21-12 < no of hrs < 21-8\\n9< no of hrs < 13. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"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 = 60*(5/18) m/sec = 50/3 m/sec\\nLength of Train (Distance) = Speed * Time\\n(50/3) * 6 = 100 meter So the answer is (C).",
"from": "gpt"
}
] |
[
{
"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"
},
{
"value": "Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3\\nAll the three pipes together will fill the tank in 3 hours. So the answer is (B).",
"from": "gpt"
}
] |
[
{
"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": "gpt"
}
] |
[
{
"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 serve on A The answer: (D).",
"from": "gpt"
}
] |
[
{
"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) 250\\n(D) 300\\n(E) 350 Random thoughts:",
"from": "human"
},
{
"value": "10 * 150 = 1500\\n3 * 100 + 5 * 150 = 1050\\n1500 – 1050 = 450 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"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) = 5994 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"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(C) 455\\n(D) 315\\n(E) 220 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "15*14*13/3*2*1 = 455\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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).",
"from": "gpt"
}
] |
[
{
"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": "gpt"
}
] |
[
{
"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% of 120% of A = 225\\n125/100 * 120/100 * A = 225\\nA = 225 * 2/3 = 150. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 750?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 15 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "750 = 3*222 + (22*3) + 9*2\\nK weight of 600 = 3 +3+9 = 15\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"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": "Req percentage = 11628/20400*100 = 57% So the answer is (A).",
"from": "gpt"
}
] |
[
{
"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 numbers = 13 * 60 = 780\\nSum of the first 7 of them = 7 * 56 = 392\\nSum of the last 7 of them = 7 * 61 = 427\\nSo, the 8th number = 427 + 392 - 780 = 39. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"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": "125% of 120% of A = 222\\n125/100 * 120/100 * A = 222\\nA = 222 * 2/3 = 148.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"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": "human"
},
{
"value": "1/12 - 1/18 = 1/36\\n36 minutes\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 14 * 18/5 * 15/4 km = 189 km. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"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 = √3/4 * 16 * 16 = 64√3 cm2; So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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 * 2/35 = 36 sec\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"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 of 8 letters words formed is ⁸P₈ = 8!. So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"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": "W 1/15 + (14/15) * 1/14 = 2/15 So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"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)/4 = 41\\n11K = 41 * 4 +1 = 164 +1 = 165\\nK = 165 / 11 = 15. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"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) 2 ½ sec",
"from": "human"
},
{
"value": "\\70 + 50 = 120 * 5/18 = 100/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/100 = 15/2 = 7 ½ sec So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"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 = 360 + 140 = 500 m\\nRequired time = 500 * 1/10 = 50 sec\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"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 marketing class?\\nOptions:\\n(A) 60%\\n(B) 50%\\n(C) 25%\\n(D) 19%\\n(E) 10% Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 54 - {both} + 40\\n{both} = 19%.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"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:\\n20m = n + p\\nAdd m to both sides:\\n21m = n + p + m\\nNow, divide both sides by 3\\n7m = (n + p + m)/3 = the average of n, p, and m\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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 Octavia, how many photographs were either framed by Jack or taken by Octavia?\\nOptions:\\n(A) 36\\n(B) 48\\n(C) 72\\n(D) 96\\n(E) 108 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "The number of photographs either framed by Jack or taken by Octavia = {Jack} + {Octavia} - {overlap} = 36 + 36 - 24 = 48 ({overlap} is green box). So the answer is (B).",
"from": "gpt"
}
] |
[
{
"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",
"from": "human"
},
{
"value": "Let B be turned off after x minutes. Then, Part filled by (A + B) in x min. + Part filled by A in (30 -x) min. = 1. x(2/75 + 1/45) + (30 - x). 2/75 = 1 11x/225 + (60 - 2x)/75 = 1 11x + 180 - 6x = 225. x = 9. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"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 = 22 1/2 % So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"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 (D).",
"from": "gpt"
}
] |
[
{
"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": "Let the time taken be = x\\nOne way distance = 54x\\nTotal distance traveled = 2 * 54x = 108x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 108x/3x = 36 The answer: (C).",
"from": "gpt"
}
] |
[
{
"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 factor of 30, which has 2, 3, and 5 as its prime factors. Each of them is distinct. Moreover, all multiples of 30 less than 200 can be derived by multiplying these prime factors alone. Thus, number of different prime factors is 3.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"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 unknown rate of two blankets?\\nOptions:\\n(A) 420\\n(B) 550\\n(C) 490\\n(D) 450\\n(E) 520",
"from": "human"
},
{
"value": "10 * 157 = 1570\\n3 * 100 + 5 * 150 = 1050\\n1570 – 1050 = 520\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"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": "Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"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 as one. Given that, how many faces does the resultant solid have\\nOptions:\\n(A) 4\\n(B) 9\\n(C) 6\\n(D) 10\\n(E) 12 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides and added top and bottom, hence 4+2 = 6. The answer: (C).",
"from": "gpt"
}
] |
[
{
"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 kmph\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 120 miles\\n(E) 400 miles OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Answer = A. 45 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 2 hours, difference = 30 * 2 = 60 miles\\nFast train trailing 15 miles, so effective difference = 60 - 15 = 45 miles The answer: (A).",
"from": "gpt"
}
] |
[
{
"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, So we need to add 8 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"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 12, we get the probability as\\n1 - (1/36 + 5/9) = 5/12\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"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 committee = 5 + 6 = 11\\nNumber of ways of selecting group of eight persons = ¹¹C₈ = ¹¹C₃ = (11 * 10 * 9)/(3 * 2) = 165 ways.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"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": "P(at least one blue) = 1 - P(no blue, so 2 red) = 1- 2/5*1/4 = 9/10.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"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": "Present age of 5 members = 5 x 17 + 3 x 5 = 100 years\\nAlso, present ages of 5 members + Age of the baby = 6 x 17 = 102 years\\nAge of the baby = 102 – 100 = 2 years.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"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": "A + B = 1/20 + 1/15 = 7/60\\nA + C = 1/20 + 1/12 = 8/60\\n7/60 + 8/60 = 15/60 = 1/4\\n4 days * 2 = 8 days The final answer: (B).",
"from": "gpt"
}
] |
[
{
"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": "Number of students = 10\\nNumber of ways 10 students can sit around a circular table = (10 - 1)! = 9!\\nNumber of ways A and D sit together (consider A and D as one entity) = (9 - 1)! = 8! * 2\\nNumber of ways A and D do not sit together = 9! - (8! * 2)\\nProbability = (9! - (8! * 2))/9! = 1 - 2/9 = 7/9\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"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\\n(C) 6 2⁄3\\n(D) 6 1⁄3\\n(E) None of these",
"from": "human"
},
{
"value": "10 men + 15 women in 1 day do 1⁄15 + 1⁄12 = 9⁄60 work\\n\\ Time taken = 60⁄9 days = 62⁄3 days\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"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 integer and b is an odd prime integer, their subtraction results in an odd integer and an odd integer multiplied by an even integer yields an even integer.\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"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 answer: (C).",
"from": "gpt"
}
] |
[
{
"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 amount increased by $10 and Raj shared equally so amount = 5 * 10 = 50\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"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: (C).",
"from": "gpt"
}
] |
[
{
"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 + (14/15) * 1/14 = 2/15 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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. Simplify both sides: x = -12 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"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 (D).",
"from": "gpt"
}
] |
[
{
"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 is (E).",
"from": "gpt"
}
] |
[
{
"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": "Let the time taken be = x\\nOne way distance = 63x\\nTotal distance traveled = 2 * 63x = 126x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 126x/3x = 42\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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\\n(B) 70\\n(C) 75\\n(D) 84\\n(E) 90 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "There were 36*5 = 180 total votes made. If each voter picked 3 coaches, there were 180/3 = 60 voters. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"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 took an earlier train, without informing his wife, and therefore he already was at the station of Alkmaar at five o'clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. Fred's wife always drives the entire way between home and station at the same constant speed.How long did Fred walk yesterday evening?\\nOptions:\\n(A) 55\\n(B) 45\\n(C) 58\\n(D) 65\\n(E) 59",
"from": "human"
},
{
"value": "Fred's wife needed to drive ten minutes less than usual, which is five minutes less in the direction of the station and five minutes less back home. Therefore, Fred met his wife at five minutes to six. He had walked already since five o'clock, so he walked 55 minutes in total.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"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) = 96/100 of original area\\n96/100 is a 4% decrease from 100/100 ->\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"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 answer: (A).",
"from": "gpt"
}
] |
[
{
"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"
}
] |
Subsets and Splits