conversations
list |
|---|
[
{
"value": "Q: Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\\nOptions:\\n(A) 30\\n(B) 35\\n(C) 40\\n(D) 47\\n(E) 50 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 24\\n(E) 23.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "To construct 2 lines, three points can be selected out of 4 in 4 x 3 x 2 = 24 ways. Now, if third line goes from the third-point to the first point, a triangle is formed, and if it goes to the fourth point, a triangle is not formed. So, there are 24 ways to form a triangle and 24 ways of avoiding triangle. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?\\nOptions:\\n(A) 17/25\\n(B) 18/49\\n(C) 23/30\\n(D) 23/36\\n(E) 29/36",
"from": "human"
},
{
"value": "Girls = 3/5, boys are 2/5\\nAbsentees are (2/9)*(3/5) + (1/4)*(2/5) = 7/30\\nPresent Students are 23/30\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?\\nOptions:\\n(A) 150\\n(B) 78\\n(C) 268\\n(D) 268\\n(E) 298 Stream of consciousness:",
"from": "human"
},
{
"value": "Length of the train be ‘X’\\nX + 150/15 = X + 250/20\\n4X + 600 = 3X + 750\\nX = 150m ]\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The area of a triangle is with base 10m and height 5m?\\nOptions:\\n(A) 11\\n(B) 25\\n(C) 787\\n(D) 122\\n(E) 12 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1/2 * 10 * 5 = 25 m2 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: 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 56 ounces of this substance?\\nOptions:\\n(A) 27\\n(B) 36\\n(C) 42\\n(D) 24\\n(E) 147 Random thoughts:",
"from": "human"
},
{
"value": "112 ounces of a substance has a volume of 48 cubic inches\\n56 ounces of a substance has a volume of (48/112)*56 = 24 cubic inches The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 22\\n(D) 23\\n(E) 25 3/10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\\n(11K -1)/4 = 30\\n11K = 30 * 4 +1 = 120 +1 = 121\\nK = 121 / 11 = 11.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word \"BICYCLE\" be rearrangement?\\nOptions:\\n(A) 5040\\n(B) 5045\\n(C) 5140\\n(D) 5010\\n(E) 5020 Stream of consciousness:",
"from": "human"
},
{
"value": "Option 'A'\\nThe total number of arrangements is\\n7P7 = 7! = 5040\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 1 industrial stocks, 1 transportation stocks, and 1 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 3 stocks are possible?\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 720 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "5C1 * 4C1 * 3C1 = 5*4*3 = 60. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 4 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 72\\n(D) 180\\n(E) 720 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "4C3 * 4C2 * 3C2 = 4*6*3 = 72.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 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) 342\\n(D) 250\\n(E) 253",
"from": "human"
},
{
"value": "400*(90/100)*(95/100) = 342 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: A man sells two articles for Rs.3600 each and he gains 40% on the first and loses 40% on the next. Find his total gain or loss?\\nOptions:\\n(A) 16% loss\\n(B) 400\\n(C) 4000\\n(D) 324\\n(E) 8% LOSS Random thoughts:",
"from": "human"
},
{
"value": "(40*40)/100 = 16%loss The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\\nOptions:\\n(A) Equal to 3\\n(B) Less than 5\\n(C) More than 5\\n(D) Less than 1/5\\n(E) none of these Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Let number of boys = x\\nLet number of girls = y\\nTherefore x/y = B and y/x = G\\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Grace has 16 jellybeans in her pocket. She has 8 red ones, 6 green ones, and 2 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 13\\n(E) 15 Stream of consciousness:",
"from": "human"
},
{
"value": "The worst scenario is when she takes 8 red and 6 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the average of the first 21 natural numbers?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 10\\n(D) 11\\n(E) 12.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (21+ 1)/2 = 11 Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Four of the following five parts numbered (a), (b), (c), (d) and (e) are exactly equal. The number of the part which is not equal to the other four parts is your answer.\\nOptions:\\n(A) 2x2 – 3xy + y2\\n(B) (2x + y) (x – y) \\n(C) (x – y) 2 + x(x – y) \\n(D) (2x – y) 2 – x(2x – y) \\n(E) (2x – y) 2 – 2x2 + xy Stream of consciousness:",
"from": "human"
},
{
"value": "Other parts are equal to\\n2x2 + y2 – 3xy.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\\nOptions:\\n(A) 9261\\n(B) 1261\\n(C) 9621\\n(D) 9162\\n(E) 5000 Stream of consciousness:",
"from": "human"
},
{
"value": "A = 8000(21/20)3 = 9261\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Simple interest on a certain sum is 16 over 25 of the sum. Find the rate per cent and time, if both are equal.\\nOptions:\\n(A) 8% and 8 years\\n(B) 6% and 6 years\\n(C) 10% and 10 years\\n(D) 12 % and 12 years\\n(E) None of these Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "16⁄25P = P×R×R/100\\n⇒ R2 = 1600⁄25 ⇒ R = 40⁄5 = 8%\\nAlso, time = 8 years\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "if deepak has 5 pants and 3 shirts how many combinations can deepak make?\\nOptions:\\n(A) 10\\n(B) 9\\n(C) 15\\n(D) 20\\n(E) 25 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "If deepak can only choose one of each, there are 5*3 = 15 possible combinations.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 1:8\\n(C) 1:1\\n(D) 1:6\\n(E) 1:3 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "T = 192/32 = 6 h\\nT = 6 - 3 = 3\\nTime Ratio = 6:3 = 2:1\\nSpeed Ratio = 1:2 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Calculate the circumference of a circular field whose radius is 10 centimeters.\\nOptions:\\n(A) 20 π cm\\n(B) 19 π cm\\n(C) 28 π cm\\n(D) 25 π cm\\n(E) 30 π cm",
"from": "human"
},
{
"value": "Circumference C is given by\\nC = 2πr = 2π*10 = 20 π cm\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 35, 25 kmph\\n(B) 80, 40 kmph\\n(C) 40, 60 kmph\\n(D) 50, 55 kmph\\n(E) 50, 65 kmph Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 20 = 80 kmph\\nSpeed upstream = 60 - 20 = 40 kmph So, the answer is (B).",
"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 47. 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) 44\\n(C) 49\\n(D) 68\\n(E) 76",
"from": "human"
},
{
"value": "It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 44\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 6, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\\nOptions:\\n(A) 27\\n(B) 22\\n(C) 24\\n(D) 26\\n(E) 30 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If 10 crates have 96 apples each and how many apples more is required in order to make 100 apples in each crate?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 40\\n(D) 20\\n(E) 0\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Each crate requires 4 apples and totally there are 10 crates so required apples = 10 * 4 = 40 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In his room, Dumbo has three trousers. One of them is black, the second is blue, and the third is brown. In his room, he also has four shirts. One of them is black and the other 3 are white. He opens his room in the dark and picks out one shirt and one trouser pair without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?\\nOptions:\\n(A) 1/12\\n(B) 1/6\\n(C) 1/2\\n(D) 1/4\\n(E) 1/3 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Probability that trouser is not black = 2/3\\nProbability that shirt is not black = 3/4\\nRequired probability = 2/3 x 3/4 = 1/2 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the average of the first 23 natural numbers?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 10\\n(D) 11\\n(E) 12",
"from": "human"
},
{
"value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (23 + 1)/2 = 12\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. a contract was signed to complete a job in 30 days. after how many days can 5 men leave then so that the job can be completed in 35 days\\nOptions:\\n(A) 30 days.\\n(B) 35 days.\\n(C) 45 days.\\n(D) 55 days.\\n(E) 65 days.",
"from": "human"
},
{
"value": "If no of men used initially is x, then after (35-x) days 5 men can leave so that the job can be completed in 35 days.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Jerry covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?\\nOptions:\\n(A) 29 Kmph\\n(B) 15 Kmph\\n(C) 23 Kmph\\n(D) 22 Kmph\\n(E) 19 Kmph Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Total distance = 8 Km\\nTotal time = 50 Km\\nTime taken to cover the distance of 3 Km = 50*2/5 = 20 min = 1/3 hours\\nRemaining distance = 8 - 3 = 5 Km\\nRequired speed = 5/1/3 = 15 Kmph\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What is the units digit of the expression 14^7−17^4?\\nOptions:\\n(A) 0\\n(B) 3\\n(C) 4\\n(D) 8\\n(E) 6 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "I think answer on this one should be D too. Since we know that 14^7>17^4, as Will said one should always check if the number is positive. So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17 minutes\\n(B) 87 minutes\\n(C) 70 minutes\\n(D) 28 minutes\\n(E) 11 minutes",
"from": "human"
},
{
"value": "1/20 - 1/70 = 1/28\\n28 minutes\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: In Sam's hanger there are 22 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\\nOptions:\\n(A) 1.\\n(B) 2.\\n(C) 3.\\n(D) 4.\\n(E) 5. Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Total boxes = 22\\nFilled with toys = 16\\nFilled with appliance = 6\\nTotal boxes for sale = 8\\nToy boxes for sale = 5\\nAppliance boxes for sale = 3\\nAppliance boxes not for sale = 6 - 3 = 3\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the odd man out\\n4, 9,16, 36, 64, 144\\nOptions:\\n(A) 144\\n(B) 16\\n(C) 9\\n(D) 36\\n(E) 4 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "9 is square of 3 which is odd number where as all others are squares of even numbers. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 140kg then find the average weight of all the 7 rounds?\\nOptions:\\n(A) 98.5 kgs\\n(B) 80 kgs\\n(C) 76.5 kgs\\n(D) 67.5 kgs\\n(E) 58.2 kgs.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\\nOptions:\\n(A) 1.\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 5 Stream of consciousness:",
"from": "human"
},
{
"value": "Total boxes = 23\\nFilled with toys = 16\\nFilled with appliance = 7\\nTotal boxes for sale = 8\\nToy boxes for sale = 5\\nAppliance boxes for sale = 3\\nAppliance boxes not for sale = 7 - 3 = 4\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Joel sailed for 3 hours at a speed of 20 miles per hour, then for 6 hours at 30 miles per hour and finally, 1 more hour at 40 miles per hour. What was the average speed of Joel during the whole sail?\\n.\\nOptions:\\n(A) 25\\n(B) 27.5\\n(C) 28\\n(D) 30\\n(E) 32 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "3 hours at a speed of 20 miles per hour gives us Distance = 20*3 = 60 miles\\n6 hours at a speed of 30 miles per hour gives us Distance = 30*6 = 180 miles\\n1 more hour at 40 miles per hour gives us Distance = 40*1 = 40 miles\\nTotal Distance = 60+180+40 = 280 miles\\nTotal Time = 3+6+1 = 10 Hours\\nAverage Speed = 280 / 10 = 28 Miles per hour\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. What is the speed of the train is?\\nOptions:\\n(A) 32\\n(B) 545\\n(C) 39\\n(D) 40\\n(E) 09 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "S = (120 + 480)/45 = 600/55 * 18/5 = 39\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 2/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\\nOptions:\\n(A) 3/140\\n(B) 1/280\\n(C) 3/280\\n(D) 3/35\\n(E) 68/280 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 2/5*3/8*5/7 + 2/5*5/8*2/7 + 3/5*3/8*2/7 = 68/280.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 80,70 kmph\\n(B) 87,40 kmph\\n(C) 80,40 kmph\\n(D) 70,40 kmph\\n(E) 80,44 kmph Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 20 = 80 kmph\\nSpeed upstream = 60 - 20 = 40 kmph So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\\nOptions:\\n(A) 1/2\\n(B) 2/3\\n(C) 3/5\\n(D) 4/7\\n(E) 4/9",
"from": "human"
},
{
"value": "Probability that trouser is not grey = 2/3\\nProbability that shirt is not grey = 3/4\\n∴ Required probability = 2/3 x 3/4 = 1/2 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Two trains are moving at 60 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 5 sec\\n(B) 6 sec\\n(C) 7 sec\\n(D) 8 sec\\n(E) 9 sec",
"from": "human"
},
{
"value": "70 + 60 = 130 * 5/18 = 325/9 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 9/325 = 7 se\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "At what rate percent on simple interest will a sum of money double itself in 30 years?\\nOptions:\\n(A) 3 1/3%\\n(B) 3 5/3%\\n(C) 3 1/9%\\n(D) 3 1/5%\\n(E) 3 1/7% OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "P = (P*30*R)/100\\nR = 3 1/3% The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Find the least number must be subtracted from 531742 so that remaining no.is divisible by 3?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 1\\n(D) 2\\n(E) 3",
"from": "human"
},
{
"value": "On dividing 531742 by 3 we get the remainder 1, so 1 should be subtracted\nThe 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) 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": "1: 2/5 = 5: 2\\n2/7 * 70 = 20 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A football field is 7200 square yards. If 1200 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) 3200",
"from": "human"
},
{
"value": "Answer A) 9600 yards need 1200 lbs\\n1 Yard will need 1200/7200 = 1/6 lbs\\n3600 Yards will need 1/6* 3600 Yards = 600lbs\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the odd man out\\n1, 3, 7, 11, 15, 18, 21\\nOptions:\\n(A) 3\\n(B) 7\\n(C) 18\\n(D) 21\\n(E) 1.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The 18 is the only even number in the series. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A owes B Rs.50. He agrees to pay B over a number of consecutive days on a Monday, paying single note or Rs.10 or Rs.20 on each day. In how many different ways can A repay B.\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 9\\n(D) 6\\n(E) 5 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "He can pay by all 10 rupee notes = 1 way\\n3 Ten rupee + 1 twenty rupee = 4!3!×1!4!3!×1! = 4 ways\\n1 Ten rupee + 2 twenty rupee notes = 3!2!×1!3!2!×1! = 3 ways\\nTotal ways = 1 + 4 + 3 = 8 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: There are 42 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\\nOptions:\\n(A) 39\\n(B) 40\\n(C) 51\\n(D) 58\\n(E) 63 Random thoughts:",
"from": "human"
},
{
"value": "{Total} = {M} + {N} - {Both}\\n{Total} = 42 + 28 - 12 = 58. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train 250 m long, running with a speed of 50 km/hr will pass a tree in?\\nOptions:\\n(A) 18sec\\n(B) 20sec\\n(C) 25sec\\n(D) 30sec\\n(E) 1min.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed = 50 * 5/18 = 125/9 m/sec\\nTime taken = 250 *9/125 = 18 sec Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Which one of the following is not a prime number?\\nOptions:\\n(A) 31\\n(B) 61\\n(C) 71\\n(D) 91\\n(E) 101",
"from": "human"
},
{
"value": "91 is divisible by 7. So, it is not a prime number. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\\nOptions:\\n(A) 22\\n(B) 66\\n(C) 28\\n(D) 41\\n(E) 61.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48\\nRemaining work = (1 - 7/48) = 41/48\\nWork done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48\\nNumber of boys required = 41/48 * 41 = 41. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\\nOptions:\\n(A) 6\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) 98\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Work done by A in 2 days = 2/5\\nRemaining work = 3/5\\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\\nRemaining work = 3/5 * 10/3 = 2 day The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find a a prime number from the options below.\\nOptions:\\n(A) 58\\n(B) 59\\n(C) 60\\n(D) 62\\n(E) 64 Stream of consciousness:",
"from": "human"
},
{
"value": "Clearly, 59 is a prime number.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How many ways can six girls be selected from a group of ten girls?\\nOptions:\\n(A) ⁶C₄\\n(B) ¹⁰C₄\\n(C) 4C₄\\n(D) ¹⁰P₄\\n(E) ¹⁰P₅",
"from": "human"
},
{
"value": "Six members can be selected from ten members in\\n¹⁰C₆ = ¹⁰C₄ ways\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 857.48 = 743.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 580\\n(D) 770\\n(E) 890 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "? = 285 + 1895 – 855 – 745 or, ? = 580\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train 260 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\\nOptions:\\n(A) 40 sec\\n(B) 50 sec\\n(C) 32 sec\\n(D) 49 sec\\n(E) 60 sec",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 260 + 140 = 400 m\\nRequired time = 400 * 2/25 = 32 se\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: 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) 28869\\n(C) 10002\\n(D) 18089\\n(E) 10004.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "100 * 100 = 10000\\n125 * 80 = 10000 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?\\nOptions:\\n(A) 1\\n(B) 6\\n(C) 7\\n(D) 5\\n(E) 43 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "A's 1 day work = 1/10; B's 1 day work = 1/15\\n(A + B)'s 1 day work = (1/10 + 1/15) = 1/6\\nSo, both together will finish the work in 6 days.\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?\\nOptions:\\n(A) 48\\n(B) 24\\n(C) 120\\n(D) 60\\n(E) None of these Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Reqd. number = 4! × 2! = 24 × 2 = 48\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If the two hands in a clock are 3 minutes divisions apart,then the angle between them is\\nOptions:\\n(A) 3°\\n(B) 18°\\n(C) 24°\\n(D) 60°\\n(E) None of these Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "In a clock, each minute makes 6°\\n∴ 3 minutes will make 6 × 3 = 18°\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Calculate the circumference of a circular field whose radius is 7 centimeters.\\nOptions:\\n(A) 11 π cm\\n(B) 15 π cm\\n(C) 1 π cm\\n(D) 4 π cm\\n(E) 14 π cm",
"from": "human"
},
{
"value": "Circumference C is given by\\nC = 2πr = 2π*7 = 14 π cm\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: If the cost price of 50 articles is equal to the selling price of 20 articles, then the gain or loss percent is?\\nOptions:\\n(A) 16\\n(B) 127\\n(C) 12\\n(D) 18\\n(E) 150 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Percentage of profit = 30/20 * 100 = 150% The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A certain league has three divisions. The respective divisions had 10, 12 and 15 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) 70\\n(B) 72\\n(C) 73\\n(D) 78\\n(E) 80 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Overall, there can be 73 minuses. Tus, it is\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\\nOptions:\\n(A) 50\\n(B) 75\\n(C) 100\\n(D) 120\\n(E) 25 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 3 = 50 m\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 5 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 300 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "5C3 * 5C2 * 3C2 = 10*10*3 = 300. So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In how many different ways can the letters of the word \"CLAIM\" be rearrangement?\\nOptions:\\n(A) 100\\n(B) 120\\n(C) 130\\n(D) 143\\n(E) 145",
"from": "human"
},
{
"value": "The total number of arrangements is\\n5P5 = 5! = 120\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A wheel rotates 20 times every minute and moves 35 cm during each rotation. How many metres does the wheel move in one hour?\\nOptions:\\n(A) 6 metre\\n(B) 120 metre\\n(C) 220 metre\\n(D) 1200 metre\\n(E) 420 metre Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Number of times wheel moves in 1 hour = 20 * 60 = 1200\\n:. Distance moves = (1200*35) cms = 42000 cms\\nIn metres = 420 metr\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: What number comes next in the following series? 4, 13, 40, 121, 364, x\\nOptions:\\n(A) 1093\\n(B) 1100\\n(C) 1301\\n(D) 1400\\n(E) 1713.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "4\\n4 × 3 + 1 = 13\\n13 × 3 + 1 = 40\\n40 × 3 + 1 = 121\\n121 × 3 + 1 = 364\\n364 × 3 + 1 = 1093 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If x and y are unique prime integers, which of the following must be odd?\\nOptions:\\n(A) xy^2\\n(B) 2x+2y\\n(C) 2x−2y\\n(D) 2x/2y\\n(E) x−y Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Any number multiplied by 2 has to be an even number henc So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: By how much is 70% of 120 greater than 35% of 200.\\nOptions:\\n(A) 15\\n(B) 14\\n(C) 13\\n(D) 16\\n(E) 17\nSome stream of consciousness:",
"from": "human"
},
{
"value": "(70/100) * 120 – (35/100) * 200\\n84 - 70 = 14 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?\\nOptions:\\n(A) 120 m\\n(B) 200 m\\n(C) 324 m\\n(D) Cannot be determined\\n(E) None of these.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 12 = 200 m Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?\\nOptions:\\n(A) 6.3\\n(B) 5.3\\n(C) 6.2\\n(D) 6.1\\n(E) 4.3 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "This is a simple multiplication series. Each number is 3 times greater than the previous number. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?\\nOptions:\\n(A) 624\\n(B) 702\\n(C) 756\\n(D) 812\\n(E) 832 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Total men are 7\\nTotal women are 6 so we select 5 peoples in both and at least 3 are men\\n7c3*6c2+7c4*6c1+7c5*6c0 then we get the 756\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Four of the five parts numbered as (a), (b), (c), (d) and (e)in the following equations are exactly equal. You have to find out the part that is not equal to the other parts. The number of that part is the answer.\\nOptions:\\n(A) a2 + 5ab + 6b2\\n(B) (a + 3b) (a + 2b) \\n(C) a(a + 3b) + 2b(a + 3b) \\n(D) (3a + b) (a + 2b) \\n(E) a(a + 2b) + 3b(a + 2b) OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "The other parts are equal to a2 + 5ab + 6b2. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A certain league has two divisions. The respective divisions had 7 and 9 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) 30\\n(B) 31\\n(C) 34\\n(D) 36\\n(E) 38 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Overall, there can be 31 minuses. Tus, it is\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "What is the sum of all 5 digit numbers which can be formed with the digits 0,1,2,3,4 without repetation?\\nOptions:\\n(A) 2599980\\n(B) 235500\\n(C) 923580\\n(D) 765432\\n(E) 765434 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "10(11111)*4! - 10(1111)3! = 2599980 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 50% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\\nOptions:\\n(A) 60%\\n(B) 50%\\n(C) 25%\\n(D) 15%\\n(E) 10%",
"from": "human"
},
{
"value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 50 - {both} + 40\\n{both} = 15%. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes can fill a tank in 30 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) 15 Hours Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "In 1 hour it fill 1/30 + 1/12 - 1/20 = 1/15\\nSo fill tank fill up in 15 Hours\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Steve traveled the first 2 hours of his journey at 40 mph and the last 2 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?\\nOptions:\\n(A) 53.33 mph\\n(B) 56.67 mph\\n(C) 60 mph\\n(D) 64 mph\\n(E) 66.67 mph Stream of consciousness:",
"from": "human"
},
{
"value": "Average Speed = Total distance/ Total time = (40 * 2 + 80 * 2)/(2 + 2) = 240/4 = 60\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: In what time will a railway train 120 m long moving at the rate of 70 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3 sec\\n(B) 4 sec\\n(C) 5 sec\\n(D) 6 sec\\n(E) 7 sec Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "T = 120/70 * 18/5 = 6 sec The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In Badminton game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\\nOptions:\\n(A) 1/3\\n(B) 4/9\\n(C) 5/9\\n(D) 2/3\\n(E) 3/4\nSome stream of consciousness:",
"from": "human"
},
{
"value": "In Badminton game, Probably the easiest approach would be to find the probability of the opposite event and subtract it from 1:\\nP(win) = 1- P(not win) = 1 - 4/6*4/6 = 5/9. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The edge of a cube is 5a cm. Find its surface?\\nOptions:\\n(A) 24a8\\n(B) 150a2\\n(C) 24a1\\n(D) 24a2\\n(E) 24a7 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "6a2 = 6 * 5a * 5a = 150a2\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 720, then the other is:\\nOptions:\\n(A) 8\\n(B) 10\\n(C) 12\\n(D) 4\\n(E) 6",
"from": "human"
},
{
"value": "Other number = (12 x 600)/720 = 10. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes ?\\nOptions:\\n(A) 31/32\\n(B) 7/8\\n(C) 1/4\\n(D) 1/8\\n(E) 1/16 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Left After 1st stroke = 1/2\\nLeft After 2nd stroke = 1/2 * 1/2 = 1/4\\nLeft After 3rd stroke = 1/2 * 1/4 = 1/8\\nLeft After 4th stroke = 1/2 * 1/8 = 1/16\\nLeft After 5th stroke = 1/2 * 1/16 = 1/32\\nSo removed = 1- 1/32 = 31/32 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "John left home and drove at the rate of 55 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. Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The total distance D traveled by John is given by\\nD = 55 * 2 + 3 * 55 = 275 miles.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A person spends 40% of his salary on food, 25% on house rent, 15% on entertainment and 10% on conveyance. If his savings at the end of the month is Rs. 1200, then his salary per month in rupees is:\\nOptions:\\n(A) 12000\\n(B) 6000\\n(C) 8000\\n(D) 10000\\n(E) None of these",
"from": "human"
},
{
"value": "Total expenditure = 40 + 25 + 15 + 10 = 90%\\nSaving = (100 - 90) = 10%\\n10/100 × Salary = 1200, Salary = 12000 Rs. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 5, which can be repeated. If the product of the digits in the area code must be odd, how many different codes can be created?\\nOptions:\\n(A) 20\\n(B) 22\\n(C) 24\\n(D) 1\\n(E) 30 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 555 will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 26 = 1. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A team of eight entered for a shooting competition. The best marks man scored 85 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?\\nOptions:\\n(A) 665\\n(B) 625\\n(C) 630\\n(D) 645\\n(E) 628",
"from": "human"
},
{
"value": "8 * 84 = 672 – 7 = 665 So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A man purchased 3 blankets @ Rs.200 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\\nOptions:\\n(A) 100\\n(B) 200\\n(C) 300\\n(D) 400\\n(E) 500 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "10 * 150 = 1500\\n3 * 200 + 5 * 150 = 1350\\n1350 – 1050 = 300 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?\\nOptions:\\n(A) 140\\n(B) 146\\n(C) 152\\n(D) 162\\n(E) 170\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Number of newborns that can die in first month = 1/10 * 200 = 20\\nSurvived = 180\\nNumber of newborns that can die in second month = 1/10 * 180 = 18\\nSurvived = 162\\nNumber of newborns that can die in third month = 1/10 * 162 = 16\\nSurvived = 146 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?\\nOptions:\\n(A) 4\\n(B) 9\\n(C) 2\\n(D) 11\\n(E) None Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "1/7 + 1/14 + 1/28 = 7/28 = 1/4\\nAll three can finish the work in 4 days\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If Rs. 510 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively:\\nOptions:\\n(A) Rs. 60, Rs. 90, Rs. 389\\n(B) Rs. 60, Rs. 90, Rs. 360\\n(C) Rs. 60, Rs. 90, Rs. 368\\n(D) Rs. 60, Rs. 90, Rs. 329\\n(E) Rs. 60, Rs. 30, Rs. 329\nSome stream of consciousness:",
"from": "human"
},
{
"value": "(A = 2/3 B and B = 1/4 C) = A/B = 2/3 and B/C = 1/4\\nA:B = 2:3 and B:C = 1:4 = 3:12\\nA:B:C = 2:3:12\\nA;s share = 510 * 2/17 = Rs. 60\\nB's share = 510 * 3/17 = Rs. 90\\nC's share = 510 * 12/17 = Rs. 360. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What is the greatest positive integer x such that 2^x is a factor of 8^10?\\nOptions:\\n(A) 5\\n(B) 9\\n(C) 10\\n(D) 20\\n(E) 30 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "8^10 = (2^3)^10 = 2^30\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 13\\n(E) 14 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (510 – 150) = 360\\n∴ Average price of a pen = 360⁄60 = 12 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "What is the sum of all the prime numbers greater than 10 but less than 40?\\nOptions:\\n(A) 190\\n(B) 189\\n(C) 180\\n(D) 199\\n(E) 1981 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Required sum = (11 +13 + 17 + 19 + 23+ 29 + 31 + 37) = 180\\nNote: 1 is not a prime number\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "There is a 100 pound watermelon laying out in the sun. 99 percent of the watermelon's weight is water. After laying out for a few hours 98 percent of the watermelon's weight is water.\\nHow much water evaporated?\\nOptions:\\n(A) 20\\n(B) 30\\n(C) 40\\n(D) 50\\n(E) 10 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "In the beginning it is 99 pounds water and 1 pound other stuff. At the end the 1 pound other stuff is 2 percent so the total weight is 50 pounds. 50 pounds - 1 pound other stuff = 49 pounds water. So 99 pounds - 49 pounds = 50 pounds water lost.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?\\nOptions:\\n(A) 1 hours\\n(B) 2 hours\\n(C) 3 hours\\n(D) 4 hours\\n(E) 5 hours\nSome stream of consciousness:",
"from": "human"
},
{
"value": "In 30 minutes the man would have droven 20 miles, when his wife starts. Now both are driving in the same direction. So speed of wife related to man is 10(50-40) miles/hr. So wife will cover 20 miles in 2 hours to meet the man. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "How much 70% of 100 is greater than 60% of 80?\\nOptions:\\n(A) 18\\n(B) 99\\n(C) 22\\n(D) 26\\n(E) 71 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(70/100) * 100 – (60/100) * 80\\n70- 48 = 22 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. An enterprising businessman earns an income of Re 5 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 10th day of business, he earns an income of:\\nOptions:\\n(A) 21\\n(B) 22\\n(C) 20\\n(D) 45\\n(E) 30",
"from": "human"
},
{
"value": "2nd day he earns = 3(2 – 5)\\n3rd day he earns = 3(3 – 5)\\nOn 20th day he earns 3(20 -5) = 45 rupees\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: Which of the following is not divisible by 3?\\nOptions:\\n(A) 10,395\\n(B) 41,714\\n(C) 15,354\\n(D) 30,708\\n(E) 29,313 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Divisibility rule of 3: The sum of the digits of the number should be divisible by 3\\nOption A: 10395, Sum = 18. Divisible by 3\\nOption B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3\\nOption C: 15354, Sum = 18, Divisible by 3\\nOption D: 30708, Sum = 18, Divisible by 3\\nOption E: 29313, Sum = 18, Divisible by 3 The final answer: (B).",
"from": "gpt"
}
] |
Subsets and Splits