conversations
list |
|---|
[
{
"value": "Question: The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?\\nOptions:\\n(A) 3.\\n(B) 8.\\n(C) 10.\\n(D) 12.\\n(E) 15. Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Time taken by the birds to meet = 10/(4 + 1) = 2 mins\\nDistance traveled by the bird traveling from West-Town = 4 * 2 = 8 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?\\nOptions:\\n(A) 450\\n(B) 600\\n(C) 750\\n(D) 2400\\n(E) 300 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Answer E) 9600 yards need 1200 lbs\\n1 Yard will need 800/9600 = 1/12 lbs\\n3600 Yards will need 1/12* 3600 Yards = 300lbs So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: From among the 38 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\\nOptions:\\n(A) 1360\\n(B) 1260\\n(C) 1060\\n(D) 1160\\n(E) 1406.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "There are 38 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 38 ways. When one person is appointed as leader, we are left with 35 students. Out of these 37 teachers, we can select one class representative. So, a class representative can be selected in 37 ways. Hence, the number of ways in which a leader and class representative can be selected = 38 x 37 = 1406 Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?\\nOptions:\\n(A) 32\\n(B) 88\\n(C) 77\\n(D) 99\\n(E) 75 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Average = (76 + 65 + 82 + 67 + 85)/5 = 375/5 = 75.\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?\\nOptions:\\n(A) 0\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 9 Random thoughts:",
"from": "human"
},
{
"value": "Answer = B = 1\\n20 - 19 = 30-29 = 40-39 = 50-49 = 1 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A train 250 m long running at 72 kmph crosses a platform in 30 sec. What is the length of the platform?\\nOptions:\\n(A) 350m\\n(B) 200m\\n(C) 250m\\n(D) 270m\\n(E) 300 m Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "D = 72 * 5/18 = 30 = 600 – 250 = 350m So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?\\nOptions:\\n(A) 5%\\n(B) 10%\\n(C) 25%\\n(D) 40%\\n(E) 55%",
"from": "human"
},
{
"value": "Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles. 22miles/40 miles is 55% of the entire trip.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?\\nOptions:\\n(A) 70 sec\\n(B) 60sec\\n(C) 82 sec\\n(D) 75 sec\\n(E) 62 sec.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "D = 1400+100 = 1500 m\\nS = 72 * 5/18 = 20\\nT = 1500 * 1/20 = 75 sec Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A no.when divided by 220 gives a remainder 43, what remainder will be obtainedby dividingthe same no.17?\\nOptions:\\n(A) 5\\n(B) 6\\n(C) 9\\n(D) 11\\n(E) 15 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "221 + 43 = 264/17 = 9 (Remainder) The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:\\nOptions:\\n(A) 35000\\n(B) 40000\\n(C) 50000\\n(D) 60000\\n(E) None.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Suppose N invested Rs. x. Then, 40000/x = 4/5 or y = [40000 x 5/ 4] = 50000. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 8\\n(D) 9\\n(E) 11 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Let the boys are X, then girls are 7X, total = X+7X = 8X\\nSo it should be multiple of 8, 30 is not a multiple of 8.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Look at this series: 80, 10, 70, 15, 60, ... What number should come next?\\nOptions:\\n(A) 20\\n(B) 23\\n(C) 25\\n(D) 30\\n(E) 35",
"from": "human"
},
{
"value": "This is an alternating addition and subtraction series. In the first pattern, 10 is subtracted from each number to arrive at the next. In the second, 5 is added to each number to arrive at the next.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A man collects cigarette stubs and makes one full cigarette with every 8 stubs. If he gets 64 stubs how many full cigarettes can he smoke\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 10\\n(E) 15 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "From 64, he makes 8. From this 8 he makes one more. Total 9.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land twice on heads and once on tails?\\nOptions:\\n(A) 1/16\\n(B) 1/3\\n(C) 1/6\\n(D) 1/2\\n(E) 1/8",
"from": "human"
},
{
"value": "Must be once on twice and once on tails\\n1/2*1/2*1/2 = 1/8\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?\\nOptions:\\n(A) 30/71\\n(B) 4/7\\n(C) 5/43\\n(D) 1/2\\n(E) 1/5",
"from": "human"
},
{
"value": "Bass = 2/7 = 10/35\\nTuna = 1/5 = 7/35\\nTrout = 1/7 = 5/35\\nCatfish = 1 - (10/35 +7/35 + 5/35) = 13/35\\nPurchased: Tuna = 7/35 - (7/35)(1/7) = 6/35, and\\nCatfish = 13/35 - (13/35)(1/7) = 12/35\\nStocked: doubling the number of bass (2)(10/35) = 20/35\\nNow: 20 + 6 + 5 + 12 = 43\\nTrout proportion is now 5/43.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "95 white and black tiles will be used to form a 10x10 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) 80\\n(C) 85\\n(D) 90\\n(E) 95 Stream of consciousness:",
"from": "human"
},
{
"value": "Answer = C\\nPlease refer diagram below\\n95 - 10 = 85\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 86. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 678\\n(C) 652\\n(D) 642\\n(E) 721 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "8 * 86 = 688 – 10 = 678\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was.\\nOptions:\\n(A) 15000\\n(B) 2655\\n(C) 16888\\n(D) 6677\\n(E) 1871 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Principal = Rs. (100 x 5400)/(12*3) = Rs. 15000. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If x>0, y>0, and |x| > |y|, which of the following must be true?\\nOptions:\\n(A) x > y\\n(B) y^2 > x^2\\n(C) x^3 > y^2\\n(D) –x < y\\n(E) x < –y Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Correct Answer: (E)\\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x > y is the same statement as |x| > |y|, and (A) must be true.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Solve:-\\n666 x 666 x 666 + 555 x 555 x 555 = ?(666 x 666 - 666 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 333\\n(C) 555\\n(D) 1221\\n(E) 889 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Given Exp. = (a3 + b3) = (a + b) = (666 + 555) = 1221(a2 - ab + b2)\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A can do a job in 18 days and B can do it in 30 days. A and B working together will finish twice the amount of work in ------- days?\\nOptions:\\n(A) 22 1/8\\n(B) 22 1/2\\n(C) 22 1/1\\n(D) 22 1/5\\n(E) 22 1/9",
"from": "human"
},
{
"value": "1/18 + 1/30 = 8/90 = 4/45\\n45/4 = 11 ¼ *2 = 22 1/2 days So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word ‘PREPTY’ be arranged?\\nOptions:\\n(A) 120\\n(B) 230\\n(C) 330\\n(D) 340\\n(E) 360 Stream of consciousness:",
"from": "human"
},
{
"value": "Number of ways = 61/21 6X5X4X3X2X1 - 360\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "The average age of A, B and C is 29 years. If the average age of A and C is 32 years, what is the age of B in years ?\\nOptions:\\n(A) 19\\n(B) 35\\n(C) 20\\n(D) 32\\n(E) 23 Stream of consciousness:",
"from": "human"
},
{
"value": "Age of B = Age of (A + B + C) – Age of (A + C) = 29 × 3 – 32 × 2 = 87 – 64 = 23 years\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some persons can do a piece of work in 16 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 Stream of consciousness:",
"from": "human"
},
{
"value": "16/ (2 * 2) = 4 days\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "How many digits are in the number 50^8 × 8^3 × 11^2 x 10^2?\\nOptions:\\n(A) 22\\n(B) 20\\n(C) 21\\n(D) 18\\n(E) 17 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\\n50^8 × 8^3 × 11^2 x 10^2 = (5^2*2)^8*2^9*11^2x 10^2 = 5^16*2^17*11^2 x10^2 = 2*11^2*10^16x10^2 = 242*10^18\\nHence we would have 16 trailing 0's and the three digits from 242\\nTotal digits = 3 + 18 = 21\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Fill in the blank with the correct number in this number series: 20, 65, 27, 61, __, 57, 41, ?\\nOptions:\\n(A) 34\\n(B) 35\\n(C) 38\\n(D) 25\\n(E) 56 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "This is a simple alternating subtraction and addition series; The first series begins with 20 and adds 7; the second begins with 65 and subtracts 4, and so on.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 510 or over 780. If the individual ranges of the three people's scores in those 3 practice tests were 20, 90 and 130, what is the difference between the maximum and minimum possible ranges of all their scores put together.\\nOptions:\\n(A) 70\\n(B) 80\\n(C) 90\\n(D) 140\\n(E) 170",
"from": "human"
},
{
"value": "According to the information in the question the maximum range would be between 510 and 780(270). The minimum range would be the greatest range for any one individual, which is listed in the problem as 130. So the difference between these would be 270-130 or 140.\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Solve:-\\n222 x 222 x 222 + 555 x 555 x 555 = ?(222 x 222 - 222 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 333\\n(C) 555\\n(D) 988\\n(E) 777 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Given Exp. = (a3 + b3) = (a + b) = (222 + 555) = 777(a2 - ab + b2) So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train of 25 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 1.0 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 150 sec\\n(D) 164 sec\\n(E) 2 mins 44 sec.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "D = 25 * 60 + 1000 = 2500 m\\nT = 2500/60 * 18/5 = 150 se Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 657.48 = 843.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 680\\n(D) 770\\n(E) 890.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "? = 285 + 1895 – 655 – 845 or, ? = 680 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 3 order of $150 ?\\nOptions:\\n(A) $1\\n(B) $2\\n(C) $3\\n(D) $4\\n(E) $8 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$\\nTotal cost involved for a 150$ shipment: 3+3 = 6$. Thus, for two such orders = 18$\\nThe difference = 8$.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 49920, 4160, 416, x\\nOptions:\\n(A) 52\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 6 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "49920 /12 = 4160\\n3840 /10 = 416\\n416 /8 = 52\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: A 140 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 228\\n(B) 108\\n(C) 84\\n(D) 188\\n(E) 211.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "S = 140/6 * 18/5 = 84kmph Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: If n is the smallest integer such that 432 times n is the square of an integer, what is the value of n?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 6\\n(D) 12\\n(E) 24 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The prime factorization of a square has to have even powers of all its prime factors. If the original number has a factor, say of 7, then when it’s squared, the square will have a factor of 7^2. Another way to say that is: any positive integer all of whose prime factors have even powers must be a perfect square of some other integer. Look at the prime factorization of 432\\n432 = (2^4)*(3^3)\\nThe factor of 2 already has an even power —- that’s all set. The factor of 3 currently has an odd power. If n = 3, then 432*n would have an even power of 2 and an even power of 3; therefore, it would be a perfect square. Thus, n = 3 is a choice that makes 432*n a perfect square. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 4\\n(D) 0\\n(E) 2 Stream of consciousness:",
"from": "human"
},
{
"value": "4 points are possible in which 1 point is the incentre of the circle and other 3 are excentres\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is not divisible by 3?\\nOptions:\\n(A) 10394\\n(B) 15363\\n(C) 29340\\n(D) 30753\\n(E) 41715 Stream of consciousness:",
"from": "human"
},
{
"value": "Divisibility rule of 3: The sum of the digits of the number should be divisible by 3\\nOption A: 10394, Sum = 17. Not divisible by 3. Hence the number 10394 is also not divisible by 3\\nOption B: 15363, Sum = 18, Divisible by 3\\nOption C: 29340, Sum = 18, Divisible by 3\\nOption D: 30753, Sum = 18, Divisible by 3\\nOption E: 41715, Sum = 18, Divisible by 3\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A shipment of 8 TV sets contains 3 black and white sets and 5 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\\nOptions:\\n(A) 1/7\\n(B) 1/4\\n(C) 9/14\\n(D) 11/28\\n(E) 13/28\nSome stream of consciousness:",
"from": "human"
},
{
"value": "5/8 * 4/7 = 20/56\\n1-(20/56) = 36/56 = 9/14 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The sticks of same length are used to form a triangle as shown below.If 87 such sticks are used then how many triangles can be formed?\\nOptions:\\n(A) 43\\n(B) 44\\n(C) 45\\n(D) 465\\n(E) 47\nSome stream of consciousness:",
"from": "human"
},
{
"value": "First triangle is formed by using 3 sticks, but any subsequent triangle may be formed by using 2 sticks. Therefore, If 1st triangles uses 3 sticks, Remaining sticks = 87 - 3 = 84. With these 84, we can form 42 triangles. So total = 42 + 1 = 43 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :\\nOptions:\\n(A) 12000\\n(B) 10000\\n(C) 15000\\n(D) 20000\\n(E) 25000 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Purchase = 8748/(1-10/100^3) = 12000\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?\\nOptions:\\n(A) 2\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 8 Random thoughts:",
"from": "human"
},
{
"value": "Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Efrida and Frazer who live 13 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 10\\n(E) 11 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "It's a simple geometry problem. Look at the diagram below: The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?\\nOptions:\\n(A) 120\\n(B) 126\\n(C) 252\\n(D) 1200\\n(E) 1365 Stream of consciousness:",
"from": "human"
},
{
"value": "My ans is 15C4 = 1365\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?\\nOptions:\\n(A) 250 mph\\n(B) 200 mph\\n(C) 205 mph\\n(D) 300 mph\\n(E) 425 mph Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Equation: 500/r = 500/(r+50) + 1\\nPlug options into the equation\\nA fits: 500/250 = 500/(250+250) + 1 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?\\nOptions:\\n(A) 198\\n(B) 288\\n(C) 360\\n(D) 396\\n(E) 484\nSome stream of consciousness:",
"from": "human"
},
{
"value": "I will go with C (pending elements to match is 2^2*3^2*10^1 = 360 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 84 ounces of this substance?\\nOptions:\\n(A) 27\\n(B) 36\\n(C) 42\\n(D) 64\\n(E) 147 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "112 ounces of a substance has a volume of 48 cubic inches\\n84 ounces of a substance has a volume of (48/112)*84 = 36 cubic inches\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A boy runs 200 metres in 24 seconds. What is his speed?\\nOptions:\\n(A) 20 km/hr\\n(B) 24 km/hr\\n(C) 30 km/hr\\n(D) 32 km/hr\\n(E) 34 km/hr.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "200/24 * 18/5 = 30 km/hr Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?\\nOptions:\\n(A) 1871\\n(B) 9172\\n(C) 8797\\n(D) 8112\\n(E) 1899 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "A = 7500(26/25)2 = 8112'\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = 60 +40 = 100 kmph\\nSpeed upstream = 60 - 40 = 20 kmph\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 22 minutes\\n(B) 88 minutes\\n(C) 70 minutes\\n(D) 77 minutes\\n(E) 48 minutes Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1/20 - 1/28 = 1/70\\n70 minutes So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. What is the correct quotient?\\nOptions:\\n(A) 0\\n(B) 12\\n(C) 13\\n(D) 20\\n(E) 22\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Number = (12 * 35) = 420\\nCorrect quotient = 420/21 = 20 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "John left home and drove at the rate of 35 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination. How many miles did John drive?\\nOptions:\\n(A) 235 miles.\\n(B) 245 miles.\\n(C) 255 miles.\\n(D) 265 miles.\\n(E) 275 miles. Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The total distance D traveled by John is given by\\nD = 35 * 2 + 3 * 55 = 235 miles. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of nine numbers is 15. The average of first four numbers is 11 and the average of last four numbers is 14. What is the middle number?\\nOptions:\\n(A) 19\\n(B) 20\\n(C) 35\\n(D) 31\\n(E) 27 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "The total of nine numbers = 9X15 = 135\\nThe total of first 4 and last 4 numbers is = 4 X 11+4 X 14 = 100\\nSo, the middle number is (135 - 100 ) = 35 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Train A & B leave from same station and reaches same destination but train A leaves half an after Train B & travels 2 times faster than B. Total distance is 100 miles & train B travels 50 miles/hour. Which train reaches the destination first & what is the time difference between the train\\nOptions:\\n(A) Train A reaches 30 minutes before Train B\\n(B) Train B reaches 30 minutes before Train A\\n(C) Train A reaches 60 minutes before Train B\\n(D) Train B reaches 60 minutes before Train A\\n(E) None of the above OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Time taken for train A = 30 minutes + d1/s1 = 30 minutes + 100 / 100 = 1 hours 30 minutes\\nSince Train B travels 50 miles / hour ; train A travels twice the speed of B which gives s1 = 100 miles/ hour\\nTime taken for train B = d2/s2 = 100 / 50 = 2 Hours\\nSo Train A reaches 30 minutes before Train B The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: 45 pupil,out of them 12 in debate only and 22 in singing only.then how many in both?\\nOptions:\\n(A) 9\\n(B) 10\\n(C) 11\\n(D) 12\\n(E) 13 Random thoughts:",
"from": "human"
},
{
"value": "The intersection for two = 45 - 12 - 22 = 11 play both games. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 6 days, B and C in 2 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 12/24\\n(B) 48/63\\n(C) 45/56\\n(D) 48/19\\n(E) 28/12 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "One day work of A and B = 1/6\\nOne day work of B and C = 1/2\\nOne day work of C and A = 1/8\\n2(A + B + C) = 1/6 + 1/2 + 1/8\\n2(A + B + C) = 19/24\\n(A + B + C) = 19/48\\nNumber of days required = 48/19 days. So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?\\nOptions:\\n(A) 17 1/7 days\\n(B) 17 1/8 days\\n(C) 17 5/7 days\\n(D) 17 3/7 days\\n(E) 13 1/7 days Stream of consciousness:",
"from": "human"
},
{
"value": "1/30 + 1/40 = 7/120\\n120/7 = 17 1/7 days\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :\\nOptions:\\n(A) 144 m2\\n(B) 140 m2\\n(C) 108 m2\\n(D) 158 m2\\n(E) None of these Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Area of the outer rectangle = 23 × 16 = 368 m2\\nArea of the inner rectangle = 19 × 12 = 228 m2\\nRequired area = (368 – 228) = 140 m2 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How many distinct prime numbers are factors of 33150?\\nOptions:\\n(A) Four\\n(B) Five\\n(C) Six\\n(D) Seven\\n(E) Eight",
"from": "human"
},
{
"value": "Start with the prime factorization:\\n33150 = 50*663 = (2*5*5)*3*221 = (2)*(3)*(5^2)*(13)*(17)\\nThere are five distinct prime factors, {2, 3, 5, 13, and 17}\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: At what rate percent on simple interest will a sum of money double itself in 40 years?\\nOptions:\\n(A) 3 1/3%\\n(B) 2 1/2%\\n(C) 3 9/3%\\n(D) 3 2/3%\\n(E) 3 6/3% Random thoughts:",
"from": "human"
},
{
"value": "P = (P*40*R)/100\\nR = 2 1/2% The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?\\nOptions:\\n(A) 1/2\\n(B) 1\\n(C) 2\\n(D) 3\\n(E) 5",
"from": "human"
},
{
"value": "We can straightaway eliminate A & B, since the expression will always yields an integer for those values\\nOut of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4. So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 70 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 1 kmph\\n(B) 6 kmph\\n(C) 5 kmph\\n(D) 8 kmph\\n(E) 7 kmph Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 75/(2 1/2) = 28 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (28 - 18)/2 = 5 kmph So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?\\nOptions:\\n(A) 2356\\n(B) 3454\\n(C) 4656\\n(D) 3456\\n(E) 5184 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184\\n432 12 x 62\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A train 490 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 18 sec\\n(B) 16 sec\\n(C) 76 sec\\n(D) 15 sec\\n(E) 28 sec Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 490 * 2/35 = 28 sec So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. If the given two numbers are respectively 6% and 18% 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) 33 1/3%\\n(E) none of these",
"from": "human"
},
{
"value": "Here, l = 6 and m = 18\\nTherefore, first number = l/m x 100% of second number = 6/18 x 100% of second number = 33 1/3% of second number\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Two trains are moving at 65 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 2/3 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 + 65 = 135 * 5/18 = 75/2 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 2/75 = 20/3 - 6 2/3 sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\\nOptions:\\n(A) 81\\n(B) 83\\n(C) 85\\n(D) 86\\n(E) 89 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Overall, there can be 81 minuses. Tus, it is So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of seven numbers is 22. 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) 25\\n(B) 27\\n(C) 29\\n(D) 32\\n(E) 55 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The total of seven numbers = 7X22 = 154\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\\nSo, the middle number is (154 - 99 ) = 55\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "S = (200 + 300)/45 = 500/45 * 18/5 = 40 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find 95 ×× 98\\nOptions:\\n(A) 93/198\\n(B) 93/12\\n(C) 93/13\\n(D) 93/10\\n(E) 93/11",
"from": "human"
},
{
"value": "Here both numbers are less than 100. So they are deficient of - 5 and - 2 compared with 100. So\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\\nOptions:\\n(A) 44\\n(B) 96\\n(C) 128\\n(D) 144\\n(E) 168 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\\n(12*16)-(8*12) = 96 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A die is thrown. If G is the event 'the number appearing is a multiple of 3' and H be the event\\n'the number appearing is even' then find whether G and H are independent ?\\nOptions:\\n(A) G and H are not independent events.\\n(B) G and H are independent events.\\n(C) Only G independent event\\n(D) Only H independent event\\n(E) None Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "We know that the sample space is S = {1, 2, 3, 4, 5, 6}\\nNow G = { 3, 6}, F = { 2, 4, 6} and E n F = {6}\\nThen P(G) = 2/6 = 1/3\\nP(H) = 3/6 = 1/2 and P(G ∩ H) = 1/6\\nP(G n H) = P(G). P (H)\\nG and H are independent events. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 5% on conveyance. If his savings at the end of the month is Rs. 1500, then his salary per month in rupees is:\\nOptions:\\n(A) 4000\\n(B) 6000\\n(C) 8000\\n(D) 10000\\n(E) None of these OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Total expenditure = 40 + 25 + 15 + 5 = 85%\\nSaving = (100 - 85) = 15%\\n15/100 × Salary = 1500, Salary = 10000 Rs. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 2, 3K – 5 and 5K + 1 is 63, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 22\\n(D) 23\\n(E) 23 1/11 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "K + 2K +2 + 3K - 5 + 5K +1 = 11K -2\\n(11K -2)/4 = 63\\n11K = 63 * 4 +2 = 252 +2 = 254\\nK = 254 / 11 = 23 1/11\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 3 and the product of the given number and the sum of its digits is equal to 175.\\nOptions:\\n(A) 25\\n(B) 36\\n(C) 47\\n(D) 52\\n(E) 63",
"from": "human"
},
{
"value": "Using the elimination method the option that fits this description is 25\\n5-2 = 3 (unit's digit that exceeds its ten's digit by 3)\\n25*7 = 175 (the product of the given number and the sum of its digits is equal to 175)\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\\nOptions:\\n(A) 17 1/9\\n(B) 17 1/3\\n(C) 17 1/7\\n(D) 17 1/9\\n(E) 17 1/1",
"from": "human"
},
{
"value": "1/20 + 1/30 - 1/40 = 7/120\\n120/7 = 17 1/7 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 70 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?\\nOptions:\\n(A) 60 %\\n(B) 65 %\\n(C) 70%\\n(D) 75%\\n(E) 80% Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\\n100 = 85 + 70 - {Both correctly} + 5\\n{Both correctly} = 60.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The difference between the local value and the face value of 7 in the numeral 32675149 is\\nOptions:\\n(A) 69950\\n(B) 69993\\n(C) 69997\\n(D) 70000\\n(E) 01000",
"from": "human"
},
{
"value": "(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "An equity analyst needs to select 4 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 8, in how many ways can she choose and rank her top 4 picks?\\nOptions:\\n(A) 1200\\n(B) 1680\\n(C) 2102\\n(D) 4020\\n(E) 1840 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Number of ways of choosing 4 stocks = 8C4\\nNumber of ways of ranking the chosen stocks = 4!\\nHence total ways of chosing and ranking = 8C4 * 4! = 1680 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 72\\n(B) 75\\n(C) 80\\n(D) 81\\n(E) 90 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n450 * 18/100 = 81\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Joey is planning to throw a small party and for that he needs to do the following tasks:\\nI. Decide guest list\\nII. Send invites\\nIII. Arrange catering\\nIV. Decide the venue\\nV. Rent a music system\\nThe tasks can be done in any order as long as the invites are sent after the guest list is decided. In how many ways can Joey do the five tasks listed above?\\nOptions:\\n(A) 24\\n(B) 48\\n(C) 60\\n(D) 120\\n(E) 240 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "These 5 tasks can be arranged in 5! = 120 ways. In half of them invites are sentafterthe guest list is decided and in half of them before. So, there are total of 120/2 = 60 ways to arrange the task so that the invites are sent after the guest list is decided. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: In case L 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) M and N\\n(E) T and U Random thoughts:",
"from": "human"
},
{
"value": "M and N should serve on A The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Two pipes can fill a tank in 20 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?\\nOptions:\\n(A) 5 Hours\\n(B) 7 Hours\\n(C) 8 Hours\\n(D) 9 Hours\\n(E) 12 Hours",
"from": "human"
},
{
"value": "In 1 hour it fill 1/20 + 1/12 - 1/20 = 1/12\\nSo fill tank fill up in 12 Hours\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 40, 68 kmph\\n(B) 40, 30 kmph\\n(C) 90, 60 kmph\\n(D) 40, 60 kmph\\n(E) 90, 30 kmph Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 30 = 90 kmph\\nSpeed upstream = 60 - 30 = 30 kmph\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?\\nOptions:\\n(A) 9179\\n(B) 3000\\n(C) 2997\\n(D) 2678\\n(E) 2682 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "60*5:36*6:75*3\\n100: 72: 75\\n100/247 * 7410 = 3000 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\\nOptions:\\n(A) 49\\n(B) 88\\n(C) 25\\n(D) 18\\n(E) 11 Random thoughts:",
"from": "human"
},
{
"value": "Total age of students is 32X16 = 512 Years\\nTotal age inclusive of teacher = 33X (16+1) = 561\\nSo, Teacher's age is 561-512 = 49 Yrs The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?\\nOptions:\\n(A) 25/√π\\n(B) 30/√π\\n(C) 20\\n(D) twenty five (25) \\n(E) 30\nSome stream of consciousness:",
"from": "human"
},
{
"value": "60/360 = 1/6\\n1/6 of total area = 5\\n5/6 of total area = 5*5 = 25 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 54 sec\\n(B) 65 sec\\n(C) 25 sec\\n(D) 22 sec\\n(E) 24 sec",
"from": "human"
},
{
"value": "D = 100 + 120 = 220\\nS = 36 * 5/18 = 10 mps\\nT = 220/10 = 22 sec\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 7 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "I think there is a mistake in this question. If all men and women together complete 12 units, how only men can do 15 Units of work a day?\\nForgetting about the reality, Women can do -3 units a day. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the remainder when 6^23 is divided by 5 ?\\nOptions:\\n(A) 3\\n(B) 2\\n(C) 1\\n(D) 0\\n(E) 4 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "6^23 = 6^(4*5+3) = 6^(20) * 6^3 last 3 digits = 216\\n216/5 remainder = 1\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "In a race of 150 m, A gives B a start of 20 m. What distance will be covered by B ?\\nOptions:\\n(A) 100 m\\n(B) 130 m\\n(C) 170 m\\n(D) 160 m\\n(E) 180 m OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Required distance = (150 - 20) m = 130 m The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are traveling on parallel tracks in the same direction. The faster train travels at 110 miles per hour, while the slower train travels at 100 miles per hour. At 1 o’clock the faster train is 40 miles behind the slower one. How far apart are the two trains at 7 o'clock?\\nOptions:\\n(A) 20 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 120 miles\\n(E) 400 miles Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Answer = A. 20 miles\\nRelational speed = 110 - 100 = 10 miles per hour\\nIn 6 hours, difference = 10 * 6 = 60 miles\\nFast train trailing 40 miles, so effective difference = 60 - 40 = 20 miles\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "2 persons can finish a job in 8 days. First person alone can finish the work in 24 days. How many days does the second person take to finish the job?\\nOptions:\\n(A) 10 days\\n(B) 12 days\\n(C) 14 days\\n(D) 16 days\\n(E) 18 days Stream of consciousness:",
"from": "human"
},
{
"value": "2 persons can do work in 1 day = 1/8\\nFirst person can do work in 1 day = 1/24\\nSecond person can do work in 1 day = 1/8-1/24 = 1/12\\nSo Second person can finish work in 12 days\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 480 kms and City A and City C is 300 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\\nOptions:\\n(A) 32/15\\n(B) 3/8\\n(C) 8/5\\n(D) 5/8\\n(E) 5/3",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 480 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 480/3 = 160 km/hour\\nDistance traveled by Freddy = 300 km\\nTime taken by Freddy = 4 hours\\nAverage speed of Freddy = 300/4 = 75 km/hour\\nRatio of average speed of Eddy to Freddy = 160/75 = 32/15\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train 90 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 120 meters long is?\\nOptions:\\n(A) 29\\n(B) 18\\n(C) 14\\n(D) 99\\n(E) 13 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "D = 90 + 120 = 210\\nS = 54 * 5/18 = 15 mps\\nT = 210/15 = 14 se\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "80 370 860 1550 2440 ?\\nOptions:\\n(A) 900\\n(B) 840\\n(C) 750\\n(D) 860\\n(E) 3530 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "10^2 - 20 = 80\\n20^2 - 30 = 370\\n30^2 - 40 = 860\\n40^2 - 50 = 1550\\n50^2 - 60 = 2440\\n60^2 - 70 = 3530.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "In marathon Sam was faster than Jack. Denise beat Jim but lost to Jack. Who is the winner?\\nOptions:\\n(A) Sam\\n(B) Jack\\n(C) Denise\\n(D) Jim\\n(E) none OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Denise beat Jim\\nJack beat Jim\\nSam beat Jack\\nSo Sam is the winner The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?\\nOptions:\\n(A) 150m\\n(B) 200m\\n(C) 250m\\n(D) 270m\\n(E) 300 m",
"from": "human"
},
{
"value": "D = 72 * 5/18 = 20 = 400 – 250 = 150m\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Sarah's seafood restaurant gets a delivery of fresh seafood every day, 6 days per week, and her delivery company charges her dollars per delivery plus cents per item delivered. If lst week Sarah's seafood restaurant had an average of x items per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?\\nOptions:\\n(A) 6cdx/100\\n(B) d + 6cx/100\\n(C) 6d + xc/100\\n(D) 6d + 6xc/100\\n(E) 6cdx",
"from": "human"
},
{
"value": "Answer will be D. Straightforward question. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: 85 white and black tiles will be used to form a 10x10 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) 80\\n(C) 85\\n(D) 90\\n(E) 95 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Answer = A\\nPlease refer diagram below\\n85 - 10 = 75 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 4 and 5K + 1 is 63, what is the value of K?\\nOptions:\\n(A) 22 10/11\\n(B) 15 3/4\\n(C) 22\\n(D) 23\\n(E) 25 3/10 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "K + 2K +3 + 3K - 4 + 5K +1 = 11K\\n(11K -1)/4 = 63\\n11K = 63 * 4 = 252\\nK = 252 / 11 = 22 10/11 The answer: (A).",
"from": "gpt"
}
] |
Subsets and Splits