conversations
list |
|---|
[
{
"value": "Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/8:1/3:1/4?\\nOptions:\\n(A) Rs.224\\n(B) Rs.216\\n(C) Rs.100\\n(D) Rs.300\\n(E) Rs.400 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1/8:1/3:1/4 = 4:8:6\\n3/18*1300 = 216 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?\\nOptions:\\n(A) 3377\\n(B) 2889\\n(C) 2522\\n(D) 2678\\n(E) 7111 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "A = 1600(21/20)3 = 2522 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Steve gets on the elevator at the 11th floor of a building and rides up at a rate of 57 floors per minute. At the same time Joyce gets on an elevator on the 51st floor of the same building and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?\\nOptions:\\n(A) 19\\n(B) 28\\n(C) 30\\n(D) 32\\n(E) 44.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Using Speed Formula: Speed = Distance / Time\\nDistance to be covered = 51-11 = 40\\nSpeed of approach = 57 + 63 floors/min\\nTime = 40/120 = 1/3\\nSo Steve will cover 57x 1/3 floors in that time = 19\\nSo he will be in 19 + 11 floor = 30th Floor Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 10000\\n(B) 18999\\n(C) 16990\\n(D) 16007\\n(E) 16991 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "100 * 100 = 10000\\n125 * 80 = 10000 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 25 as remainder. Find the no. is?\\nOptions:\\n(A) 145646\\n(B) 236578\\n(C) 645353\\n(D) 456546\\n(E) 220025",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 25 = 220000 + 25 = 220025 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A man buys two articles for Rs.1980 each and he gains 10% on the first and loses 10% on the next. Find his total gain or loss percent?\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 5",
"from": "human"
},
{
"value": "(30*30)/100 = 9%loss So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?\\nOptions:\\n(A) 145646\\n(B) 236578\\n(C) 645353\\n(D) 456546\\n(E) 220070",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: What is the greatest positive integer x such that 5^x is a factor of 125^10?\\nOptions:\\n(A) 5\\n(B) 9\\n(C) 10\\n(D) 20\\n(E) 30 Random thoughts:",
"from": "human"
},
{
"value": "125^10 = (5^3)^10 = 5^30 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "10 books are placed at random in a shelf. The probability that a pair of books will always be together is\\nOptions:\\n(A) 1/9\\n(B) 1/7\\n(C) 1/5\\n(D) 1/1\\n(E) 1/2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\\nRequired probability = 1/5 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: John's grade was 80th percentile of the 100 grades for his class. Of the 60 grades from another class, 20 were higher than John's, and the rest were lower. If no other grade was the same as John's grade, then John's grade was what percentile of the grades of the two classes of two classes combined?\\nOptions:\\n(A) 72nd\\n(B) 75th\\n(C) 83rd\\n(D) 85th\\n(E) 94th Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "72nd/75th/83rd/85th/94th The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 4.5 km long?\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 5\\n(D) 6\\n(E) 9 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "D = 25 * 60 + 4500 = 6000 m\\nT = 6000/60 * 18/5 = 360 sec = 6 mins\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 612, 207, 72, 27, 12, x\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 9\\n(E) 10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "612\\n612 / 3 + 3 = 207\\n207 / 3 + 3 = 72\\n72 / 3 + 3 = 27\\n27 / 3 + 3 = 12\\n12 / 3 + 3 = 7\nThus, the answer is (B).",
"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 2 order of $150 ?\\nOptions:\\n(A) $1\\n(B) $2\\n(C) $3\\n(D) $4\\n(E) $5 Hmmm, my stream of consciousness:",
"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$. Thus, for two such orders = 12$\\nThe difference = 2$. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is?\\nOptions:\\n(A) 280\\n(B) 290\\n(C) Rs.342\\n(D) 250\\n(E) 253 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "400*(90/100)* (95/100) = 342 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A can do a piece of work in 10 days. He works at it for 4 days and then B finishes it in 9 days. In how many days can A and B together finish the work?\\nOptions:\\n(A) 6\\n(B) 8\\n(C) 12\\n(D) 15\\n(E) 20 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "4/10+9/X = 1/x = 15\\n1/10+1/15 = 1/6 = 6 days\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 6 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\\nOptions:\\n(A) 60 gallons\\n(B) 100 gallons\\n(C) 240 gallons\\n(D) 180 gallons\\n(E) 130 gallons\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\\nVolume of 1/40 part = 6 gallons\\\\nVolume of whole = 6 * 40 = 240 gallons. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of 13 numbers is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th number?\\nOptions:\\n(A) 46\\n(B) 82\\n(C) 45\\n(D) 43\\n(E) 53 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Sum of all the 13 numbers = 13 * 60 = 780\\nSum of the first 7 of them = 7 * 57 = 399\\nSum of the last 7 of them = 7 * 61 = 427\\nSo, the 8th number = 427 + 399 - 780 = 46. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Find the smallest number which should be multiplied with 1152 to make it a perfect square.\\nOptions:\\n(A) 2\\n(B) 1\\n(C) 3\\n(D) 5\\n(E) 6 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "1152 = 2*2*2*2*2*2*2*3*3\\nRequired smallest number = 2\\n2 is the smallest number which should be multiplied with 1152 to make it a perfect square.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of 13 numbers is 60. Average of the first 6 of them is 57 and that of the last 8 is 61. Find the 8th number?\\nOptions:\\n(A) 46\\n(B) 48\\n(C) 50\\n(D) 52\\n(E) 54 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Sum of all the 13 numbers = 13 * 60 = 780\\nSum of the first 6 of them = 6 * 57 = 342\\nSum of the last 8 of them = 8 * 61 = 488\\nSo, the 8th number = 342 + 488 - 780 = 50. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: A corporation triples its annual bonus to 50 of its employees. What percent Q of the employees’ new bonus is the increase?\\nOptions:\\n(A) 50%\\n(B) 662⁄3%\\n(C) 100%\\n(D) 200%\\n(E) 300% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Q of the employees’ new bonus is the increase Hence\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning?\\nOptions:\\n(A) 39\\n(B) 88\\n(C) 3\\n(D) 7\\n(E) 62",
"from": "human"
},
{
"value": "Let the average after 7th inning = x\\nThen average after 16th inning = x - 3\\n\\inline \\fn_jvn \\therefore 16(x-3)+87 = 17x\\n\\inline \\fn_jvn \\therefore x = 87 - 48 = 39\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\\nOptions:\\n(A) 287 sec\\n(B) 288 sec\\n(C) 48 sec\\n(D) 16 sec\\n(E) 17 sec Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "D = 540 + 180 = 720\\nS = 54 * 5/18 = 15 mps\\nT = 720/15 = 48 se So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 1 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\\nOptions:\\n(A) 40 gallons\\n(B) 100 gallons\\n(C) 120 gallons\\n(D) 180 gallons\\n(E) 130 gallons Stream of consciousness:",
"from": "human"
},
{
"value": "Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\\nVolume of 1/40 part = 1 gallons\\\\nVolume of whole = 1 * 40 = 40 gallons.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?\\nOptions:\\n(A) 49 sec\\n(B) 50 sec\\n(C) 48 second\\n(D) 43 sec\\n(E) 32 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "D = 540 + 180 = 720\\nS = 54 * 5/18 = 15 mps\\nT = 720/15 = 48 se\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Which of the following is a prime number ?\\nOptions:\\n(A) 27\\n(B) 45\\n(C) 97\\n(D) 98\\n(E) 100",
"from": "human"
},
{
"value": "Clearly, 97 is a prime number.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: If 12x = 16y = 28z, then what is a possible sum of positive integers x, y, and z?\\nOptions:\\n(A) 52\\n(B) 58\\n(C) 122\\n(D) 84\\n(E) 168 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "12x = 16y = 28z\\n3x = 4y = 7z\\n3(4*7) = 4(3*7) = 7(3*4)\\nAddition = 28+21+12 = 61\\nAnswer would be multiple of 61 which is 122\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\\nOptions:\\n(A) 4/5\\n(B) 3/5\\n(C) 3/10\\n(D) 1/5\\n(E) 1/10.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "15 + 20 + 55 = 90% 100 - 90 = 10% to all others Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train running at the speed of 30 km/hr crosses a pole in 9 seconds. Find the length of the train?\\nOptions:\\n(A) 75\\n(B) 65\\n(C) 25\\n(D) 288\\n(E) 212.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed = 30*(5/18) m/sec = 25/3 m/sec\\nLength of Train (Distance) = Speed * Time\\n(25/3) * 9 = 75 meter Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "What should come in the place of the question mark(?) in the following equation?\\n21⁄25 ÷ 9⁄20 × 5⁄12 ÷ 10⁄17\\nOptions:\\n(A) 7 77⁄125\\n(B) 11 9⁄10\\n(C) 119⁄450\\n(D) 1 29⁄90\\n(E) None of these Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "? = 21⁄25 × 20⁄9 × 5⁄12 ÷ 17⁄10 = 119⁄90 = 129⁄90 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?\\nOptions:\\n(A) 9 % loss\\n(B) 10% gain\\n(C) 450\\n(D) 12% loss\\n(E) 12% gain Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(30*30)/100 = 9%loss\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Look at this series: 201, 202, 204, 207, ... What number should come next?\\nOptions:\\n(A) 211\\n(B) 205\\n(C) 224\\n(D) 267\\n(E) 269 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "In this addition series, 1 is added to the first number; 2 is added to the second number; 3 is added to the third number; 4 is added to the fourth number; and go on. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: An analyst will recommend a combination of 2 industrial stocks, 3 transportation stocks, and 3 utility stocks. If the analyst can choose from 6 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 9 stocks are possible?\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 720 Random thoughts:",
"from": "human"
},
{
"value": "6C2 * 3C3 * 4C3 = 15*1*4 = 60. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: What percent is 36 paisa's of 12 rupees?\\nOptions:\\n(A) 2 %\\n(B) 3 %\\n(C) 4 %\\n(D) 5 %\\n(E) 6 % Random thoughts:",
"from": "human"
},
{
"value": "12 Rupees = 1200 paisa's\\n36/1200 × 100 = 3/12\\n12/3 = 3 % The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?\\nOptions:\\n(A) 20%\\n(B) 25%\\n(C) 18%\\n(D) 30%\\n(E) none of these Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Here, l = 7 and m = 28\\nTherefore, first number = l/m x 100% of second number = 7/28 x 100% of second number = 25% of second number\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Let the second number be 3x, so that the first number is 6x and the third number is 2x.\\nOptions:\\n(A) 22\\n(B) 77\\n(C) 98\\n(D) 27\\n(E) 36",
"from": "human"
},
{
"value": "∴ 6x + 3x + 2x = 132 ⇒ x = 12. Second number = 3x = 3×12 = 36.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes 15 km/hr downstream and 7 km/hr upstream.\\nOptions:\\n(A) 12 kmph\\n(B) 13 kmph\\n(C) 14 kmph\\n(D) 15 kmph\\n(E) 11 kmph Stream of consciousness:",
"from": "human"
},
{
"value": "Speed in still water = (15 + 7)1/2 kmph = 11 kmph.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "The inverse ratio of 3: 7: 1 is?\\nOptions:\\n(A) 2:3:7\\n(B) 2:3:9\\n(C) 2:3:2\\n(D) 2:3:6\\n(E) 2:3:1 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1/3: 1/7: 1/1 = 7:3:21\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is equal to the average (arithmetic mean) of (y+4)^2 and (y-4)^2?\\nOptions:\\n(A) x^2\\n(B) x^2+2\\n(C) x^2 +12\\n(D) x^2+21\\n(E) y^2+16 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Avg = [(y+4)^2 + (y-4)^2] / 2\\nExpanding and simplifying, (y^2 + 8y + 16 + y^2 - 8y + 16 ) / 2 = y^2 + 16\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Find the smallest number which should be multiplied with 560 to make it a perfect square.\\nOptions:\\n(A) 60\\n(B) 55\\n(C) 45\\n(D) 25\\n(E) 35 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "560 = 2*2*2*2*7*5\\nRequired smallest number = 7 * 5 = 35\\n35 is the smallest number which should be multiplied with 560 to make it a perfect squar So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Solve below question 6x - 1 = -13\\nOptions:\\n(A) -8\\n(B) -2\\n(C) -5\\n(D) -4\\n(E) 1 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2\nTherefore, the answer is (B).",
"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) 76 minutes\\n(B) 29 minutes\\n(C) 70 minutes\\n(D) 17 minutes\\n(E) 98 minutes Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1/20 - 1/28 = 1/70\\n70 minutes\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 10 kmph\\n(B) 6 kmph\\n(C) 5 kmph\\n(D) 8 kmph\\n(E) 7 kmph Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 95/(2 1/2) = 38 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (38 - 18)/2 = 10 kmph\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the mean proportional between 64 & 81?\\nOptions:\\n(A) A) 59\\n(B) B) 61\\n(C) C) 63\\n(D) D) 72\\n(E) E) 67 Random thoughts:",
"from": "human"
},
{
"value": "Formula = √a×b\\nA = 64 and B = 81\\n√64×81 = 8 × 9 = 72 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "a, b, c, and d are positive integers where a is divisible by b and c is divisible by d. Which of the following is NOT necessarily an integer?\\nOptions:\\n(A) (ac) /(bd) \\n(B) a/b + c/d\\n(C) (a + c) /(b + d) \\n(D) (abc) /d\\n(E) (acd) /b Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "As per the question, let a = 10, b = 5, c = 6, and d = 2. Plugging these into the answer choices, only C does not yield an integer.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In how many different number of ways 7 men and 3 women can sit on a shopa which can accommodate persons?\\nOptions:\\n(A) 200\\n(B) 230\\n(C) 240\\n(D) 250\\n(E) 5040 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "10p4 = 10 X 9 X 8 X 7 = 5040\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In how many different ways could couples be picked from 8 men and 5 women?\\nOptions:\\n(A) 8\\n(B) 5\\n(C) 13\\n(D) 40\\n(E) 20",
"from": "human"
},
{
"value": "Number of mens = 8\\nNumber of womens = 5\\nDifferent ways could couples be picked = 8c1 * 5c1 = 8 * 5 = 40 ways So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. There are different 5 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 20\\n(B) 10\\n(C) 15\\n(D) 22\\n(E) 21",
"from": "human"
},
{
"value": "Maximum points of intersection between n different circles = n*(n - 1) = 5*4 = 20 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 9 sec\\n(B) 6 sec\\n(C) 8 sec\\n(D) 10 sec\\n(E) 11 sec",
"from": "human"
},
{
"value": "T = 60/36 * 18/5 = 6 sec So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 55\\n(C) 33\\n(D) 22\\n(E) 11",
"from": "human"
},
{
"value": "(60/100) * 50 – (40/100) * 30\\n30 - 12 = 18 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 7",
"from": "human"
},
{
"value": "P(1 + 20/100)n > 2P or (6/5)n > 2\\nNow, (6/5 * 6/5 * 6/5 * 6/5) > 2. So, n = 4 years. So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A wheel rotates 20 times every minute and moves 15 cm during each rotation. How many metres does the wheel move in one hour?\\nOptions:\\n(A) 6 metre\\n(B) 18 metre\\n(C) 180 metre\\n(D) 1200 metre\\n(E) 130 metre Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Number of times wheel moves in 1 hour = 12 * 60 = 1200\\n:. Distance moves = (1200*15) cms = 18000 cms\\nIn metres = 180 metre So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the odd man out\\n444, 300, 200, 136, 87, 84, 80\\nOptions:\\n(A) 80\\n(B) 87\\n(C) 136\\n(D) 200\\n(E) 444.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "All are even natural numbers except 87. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\\nOptions:\\n(A) 9 3/7 days\\n(B) 9 7/8 days\\n(C) 9 3/8 days\\n(D) 4 3/8 days\\n(E) 9 6/8 days.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1/15 + 1/25 = 8/75\\n75/8 = 9 3/8 days Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Rs. 1000 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/2:1/4?\\nOptions:\\n(A) 200\\n(B) 992\\n(C) 772\\n(D) 552\\n(E) 312 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "1/2:1/2:1/4 = 2:2:1\\n1/5*1000 = 200\\n400-200 = 200\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The average mark obtained by 22 candidates in an examination is 48. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\\nOptions:\\n(A) 22\\n(B) 0\\n(C) 49\\n(D) 58\\n(E) 66",
"from": "human"
},
{
"value": "It is clear that 22 x 48 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 66\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: A motorcyclist goes from Nagpur to Pune, a distance of 500 kms at an average of 100 kmph speed. Another man starts from Nagpur by car 3 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) 1:7\\n(C) 3:5\\n(D) 1:5\\n(E) 1:1.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "T = 500/100 = 10 h\\nT = 10 - 4 = 6\\nTime Ratio = 10:6 = 5:3\\nSpeed Ratio = 3:5 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: A car finishes a journey in ten hours at the speed of 50 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 10 km/hr\\n(C) 12 km/hr\\n(D) 16 km/hr\\n(E) 50 km/hr Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Distance covered by the car = 50 × 10 = 500 km\\n\\ Speed = 500⁄5 = 100 km/hr\\n\\ Speed gain = 100 – 50 = 50 km/hr\nTherefore, the answer is (E).",
"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.162. Find the unknown rate of two blankets?\\nOptions:\\n(A) 420\\n(B) 550\\n(C) 490\\n(D) 570\\n(E) 457 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "10 * 162 = 1620\\n3 * 100 + 5 * 150 = 1050\\n1620 – 1050 = 570 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?\\nOptions:\\n(A) 32\\n(B) 77\\n(C) 279\\n(D) 27\\n(E) 91",
"from": "human"
},
{
"value": "Total five rounds were run. So in the final round 2 teams must have participated. In the penultimate round 4 teams, and 3rd round 8, 2nd round 16 and in the first round 32 teams must have participated as in each round half of the teams got eliminated. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. How much 50% of 56 is greater than 30% of 50?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 13\\n(D) 55\\n(E) 71",
"from": "human"
},
{
"value": "(50/100) * 56 – (30/100) * 50\\n28 - 15 = 13\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\\nOptions:\\n(A) 21\\n(B) 20\\n(C) 17\\n(D) 12\\n(E) 18 Stream of consciousness:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 70 = 20\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: 4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 16\\n(E) None of these\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Since the man can go in 4 ways and can back in 3 ways. Therefore total number of ways are 4 x3 = 12ways. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\\nOptions:\\n(A) 226\\n(B) 992 rs\\n(C) 665\\n(D) 771\\n(E) 211",
"from": "human"
},
{
"value": "(800*3*3)/100 = 72\\n920 + 72 = 992\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the least number must be subtracted from 5474827 so that remaining no.is divisible by 12?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 4\\n(D) 7\\n(E) 2",
"from": "human"
},
{
"value": "On dividing 5474827 by 12 we get the remainder 7, so 7 should be subtracted\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "What number comes next in the following number series? 12, 50, 202, 810, 3242, _____\\nOptions:\\n(A) 12400\\n(B) 12800\\n(C) 12970\\n(D) 13015\\n(E) 16000 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "12\\n12 × 4 + 2 = 50\\n50 × 4 + 2 = 202\\n202 × 4 + 2 = 810\\n810 × 4 + 2 = 3242\\n3242 × 4 + 2 = 12970\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "he population of a city is 110,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\\nOptions:\\n(A) 123596\\n(B) 1237723\\n(C) 123776\\n(D) 123728\\n(E) 123718 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Population after n years = P [1 + (R/100)]2\\nPopulation after 2 years = 110000 * [1 + 6/100]2 = (110000 x 53/50 x 53/50) = 123596 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "John has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.\\nWhat is the least number of eggs he needs for this to be true?\\nOptions:\\n(A) 201\\n(B) 301\\n(C) 401\\n(D) 101\\n(E) 501 Stream of consciousness:",
"from": "human"
},
{
"value": "The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1. For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?\\nOptions:\\n(A) 5/7\\n(B) 1/7\\n(C) 2/7\\n(D) 3/7\\n(E) 1/2 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Total ways to choose 4 employees from 8 employees = 8C3\\nTwo men = 5C2\\nTwo women = 3C1\\nP = (5C2 * 3C1)/8C2 = 5/7 hence\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "John has $2500 in his bank account that earns 10% interest every year. How much will be in John's bank account after one year?\\nOptions:\\n(A) $2600\\n(B) $3000\\n(C) $2250\\n(D) $2750\\n(E) $3500 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Final number = Initial number + 20%(original number) = 2500 + 10%(2500) = 2500 + 250 = 2750. So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A rectangular garden is 12m by 5m, what is its area?\\nOptions:\\n(A) 12 square meters\\n(B) 5 square meters\\n(C) 44 square meters\\n(D) 60 square meters\\n(E) 22 square meters OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Area of a Rectangle: A = w × h\\nD) 60 square meters The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 90 km downstream and 5` km upstream, taking 3 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 7 kmph\\n(B) 5 kmph\\n(C) 2 kmph\\n(D) 8 kmph\\n(E) 1 kmph Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 90/(3) = 30 kmph\\nSpeed upstream = d/t = 51/(3) = 17 kmph\\nThe speed of the stream = (30 - 17)/2 = 7 kmph\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A train 90 meters long completely crosses a 200 meters long bridge in 36 seconds. What is the speed of the train is?\\nOptions:\\n(A) 29\\n(B) 40\\n(C) 25\\n(D) 66\\n(E) 09 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "S = (90 + 200)/36 = 290/36 * 18/5 = 29 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\\nOptions:\\n(A) 3\\n(B) 5\\n(C) 7\\n(D) 8\\n(E) 9 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How many positive four-digit integers do not contain any digits other than 1 or 0 and are such that the sum of the first two digits equals the sum of the last two digits?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 8\\n(D) 10\\n(E) 12",
"from": "human"
},
{
"value": "The sum of the first two (last two) digits cannot be 0 because 0000 is not a four-digit integer. If the sum of the first two digits is 1, two variants are possible: 1001 and 1010 (we have to remember that 0 cannot be the first digit). If the sum of the first two digits is 2, one variant is possible: 1111. In all, there are three numbers that satisfy the given conditions: 1001, 1010, and 1111.\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. During a sale, the price of a pair of shoes is marked down 15% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\\nOptions:\\n(A) 9%\\n(B) 10%\\n(C) 11%\\n(D) 18%\\n(E) 90%",
"from": "human"
},
{
"value": "Assume the price = 100\\nPrice during sale = 85\\nPrice after sale = 100\\nPercent increase = 15/85*100 = 18% approx. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?\\nOptions:\\n(A) 21\\n(B) 42\\n(C) 1500\\n(D) 600\\n(E) 720 Stream of consciousness:",
"from": "human"
},
{
"value": "Vowel: E O\\nConsonants: V R M N T\\nFirst letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)\\nFifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)\\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter\\nSecond letter can be filled in 5 Ways\\nThird letter can be filled in 4 Ways\\nFourth letter can be filled in 3 Ways\\nSo, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: 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) 32\\n(B) 28\\n(C) 40\\n(D) 27\\n(E) 21 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "S = (200 + 300)/45 = 500/45 * 18/5 = 40\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\\nOptions:\\n(A) 23\\n(B) 25\\n(C) 40\\n(D) 46\\n(E) 48 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?\\nOptions:\\n(A) $2125m\\n(B) $25m\\n(C) $200m\\n(D) $300m\\n(E) $153m\nSome stream of consciousness:",
"from": "human"
},
{
"value": "25/100*1/5*(total) = 10\\n1/20*(total) = 10\\n(total) = 10*20 = 200 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: At a meeting of the 3 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 3 Chiefs of Staff be seated around a circular table?\\nOptions:\\n(A) 120\\n(B) 480\\n(C) 960\\n(D) 2520\\n(E) 5040 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer C (960), should be the number of ways to arrange all 7 without the seating restriction given. Is this incorrect? The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: What is the maximum number of pieces of birthday cake of size 5” by 5” that can be cut from a cake 15” by 15”?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 16\\n(D) 20\\n(E) 9 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 3 'pieces' each, we have (3)(3) = 9 total smaller squares (at maximum).\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "There are 3 teams each with 8 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\\nOptions:\\n(A) 50\\n(B) 23\\n(C) 192\\n(D) 28\\n(E) 45 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 64 possibilities (8*8) since each team has 8 players. So there are a total of 192 possibilities (64*3). I hope this method is easier for you to understand.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\\nOptions:\\n(A) 22678\\n(B) 26699\\n(C) 26788\\n(D) 19000\\n(E) 39000",
"from": "human"
},
{
"value": "Money paid in cash = Rs. 1000\\nBalance payment = (40000 - 1000) = Rs. 39000 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 7\\n(D) 8\\n(E) 9 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "John makes $40 a week from his job. He earns a raise and now makes $60 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 18%\\n(D) 21%\\n(E) 50% Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Increase = (20/40)*100 = 50%.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A dragon has 100 heads. A soldier can cut off 15, 17, 20 or 5 heads, respectively with one blow of his sword. In each of these cases, 24, 2, 14, 17 new heads grow on its shoulders. If all heads are cut off, the dragon dies. Can the dragon ever die?\\nOptions:\\n(A) 61\\n(B) 3\\n(C) 5\\n(D) 6\\n(E) 1 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Here the difference in the cutoff heads and newly grown heads is 3. 100 is not divisible by 3. The dragon never die.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "How many terminating zeroes R does 200! have?\\nOptions:\\n(A) 40\\n(B) 48\\n(C) 49\\n(D) 55\\n(E) 64 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "You have 40 multiples of 5, 8 of 25 and 1 of 125. This will give 49 zeros. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 180\\n(B) 19\\n(C) 60\\n(D) 12\\n(E) 720 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "5C3 * 4C2 * 3C2 = 10*6*3 = 180.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: What is the are of an equilateral triangle of side 2 cm?\\nOptions:\\n(A) √3\\n(B) 64√9\\n(C) 64√4\\n(D) 64√3\\n(E) 64√2.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 2, Area of triangle = √3/4 * 2 * 2 = √3 cm2; Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A boy runs 200 metres in 30 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\nSome stream of consciousness:",
"from": "human"
},
{
"value": "200/30 * 18/5 = 24 km/hr The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 8\\n(D) 10\\n(E) 12",
"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.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?\\nOptions:\\n(A) knx\\n(B) k⁄n\\n(C) x\\n(D) kx⁄n\\n(E) kn⁄x Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Given Speed = k/n\\nTo Find distance in x hours with same speed\\nDistance = speed * time\\nDistance = k/n*x = kx/n So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Anil can do a work in 12 days while Sunil can do it in 25 days. How long will they take if both work together?\\nOptions:\\n(A) 10 1/10 days\\n(B) 18 1/10 days\\n(C) 7 1/10 days\\n(D) 8 1/10 days\\n(E) 9 1/10 days OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "1/12 + 1/25 = 37/300\\n300/37 = 8 1/10 days The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "There are different 45 circles. What is the number of the greatest possible points with which the circles intersect?\\nOptions:\\n(A) 1950\\n(B) 2000\\n(C) 1980\\n(D) 1580\\n(E) 2600 Stream of consciousness:",
"from": "human"
},
{
"value": "Maximum points of intersection between n different circles = n*(n - 1) = 45*44 = 1980\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: 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 87. How many points altogether did the team score?\\nOptions:\\n(A) 686\\n(B) 672\\n(C) 652\\n(D) 642\\n(E) 721 Random thoughts:",
"from": "human"
},
{
"value": "8 * 87 = 696 – 10 = 686 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. One copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. If the two copiers work together, how long would it take them to make 1,000 copies?\\nOptions:\\n(A) 20 minutes\\n(B) 30 minutes\\n(C) 40 minutes\\n(D) 50 minutes\\n(E) 60 minutes",
"from": "human"
},
{
"value": "Total work done by both machines in a minute = 15 + 10 = 25 copies\\nTotal number of copies required = 1000\\nTime = 1000/25 = 40 mins So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "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\\n(E) 95 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "A prime factors are 3 and 11. 33<sqrt(99)? no\\nB prime factors are 2 and 7. 14<sqrt(98)? no\\nC prime number. its sqrt is never greater than itself\\nD A prime factors are 2 and 6. 6<sqrt(96)? yes\\nE prime factors are 5 and 19. 45<sqrt(95)? no So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If the three-digit number 5W2 is evenly divisible by 8, which of the following could be the digit W ?\\nOptions:\\n(A) 5\\n(B) 4\\n(C) 3\\n(D) 2\\n(E) 1",
"from": "human"
},
{
"value": "Tried to locate a '0' ending multiple of 8 between 500599\\nOnly 560 is present\\n560 is divisible by 8, so (560 - 8) is also divisible by 8 = 5 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?\\nOptions:\\n(A) Rs.81000\\n(B) Rs.80000\\n(C) Rs.75000\\n(D) Rs.64000\\n(E) Rs.68000 Random thoughts:",
"from": "human"
},
{
"value": "64000* 9/8 * 9/8 = 81000 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the smallest number which should be divided with 3872 to make it a perfect square.\\nOptions:\\n(A) 8\\n(B) 6\\n(C) 2\\n(D) 4\\n(E) 1\nSome stream of consciousness:",
"from": "human"
},
{
"value": "3872 = 11*11*2*2*2*2*2\\nRequired smallest number = 2\\n2 is the smallest number which should be divided with 3872 to make it a perfect square. The answer: (C).",
"from": "gpt"
}
] |
Subsets and Splits