conversations
list |
|---|
[
{
"value": "Q: A and B together can complete a work in 12 days. A alone can complete it in 20 days. If B does the work only for half a day daily, then in how many days A and B together will complete the work?\\nOptions:\\n(A) 11 days\\n(B) 77 days\\n(C) 15 days\\n(D) 18 days\\n(E) 19 days Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "B's 1 day work = (1/12 - 1/20) = 1/30\\nNow, (A + B)'s 1 day work = (1/20 + 1/60) = 1/15\\nSo, A and B together will complete the work in 15 days.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: How many zeroes are there at the end of the number N, if N = 100! + 200! ?\\nOptions:\\n(A) 73\\n(B) 49\\n(C) 20\\n(D) 48\\n(E) 24.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The number of zeroes at the end of 100! will be less than the number of zeroes at the end of 200!\\nHence it would be sufficient to calculate the number of zeroes at the end of 100!\\nNumber of zeroes = [100/5] + [100/25] + [100/125] = 20 + 4 + 0 = 24 Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "How much is 80% of 40 is greater than 4/5 of 30?\\nOptions:\\n(A) 12\\n(B) 27\\n(C) 8\\n(D) 12\\n(E) 81 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(80/100) * 40 – (4/5) * 30\\n32 - 24 = 8 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?\\nOptions:\\n(A) 16/20\\n(B) 9/10\\n(C) 2/5\\n(D) 3/5\\n(E) ½\nSome stream of consciousness:",
"from": "human"
},
{
"value": "P(at least one green) = 1 - P(no green, so 2 yellow) = 1- 2/5*1/4 = 9/10. The answer: (B).",
"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 1 strokes ?\\nOptions:\\n(A) 1/2\\n(B) 7/8\\n(C) 1/4\\n(D) 1/8\\n(E) 1/16 Stream of consciousness:",
"from": "human"
},
{
"value": "Left After 1st stroke = 1/2\\nSo removed = 1- 1/2 = 1/2\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 6 hours. Harvesting machine K harvested how many acres of wheat per hour?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 13\\n(E) 15 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Rate of H = 6 acres/hr\\nRemaining land to be harvested = 100 - 40 = 60\\nRate of H and K = 60/6 = 10 acres/hr\\nRate of K = 10 - 6 = 4 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:\\nOptions:\\n(A) 279\\n(B) 283\\n(C) 308\\n(D) 318\\n(E) 328",
"from": "human"
},
{
"value": "Other number = (11 x 7700)/275 = 308. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.\\nOptions:\\n(A) 22\\n(B) 25\\n(C) 8\\n(D) 27\\n(E) 19",
"from": "human"
},
{
"value": "Sum of the ages of the students = 39×15 = 585\\nNew average = 15 years 3 months = 15 + 1414 year\\nSum of the ages of students and teacher = 40×15141514 = 40×614614 = 610\\nTeacher age = 610 – 585 = 25 years.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: Solve:-\\n333 x 333 x 333 + 555 x 555 x 555 = ?(333 x 333 - 333 x 555 + 555 x 555)\\nOptions:\\n(A) 888\\n(B) 333\\n(C) 555\\n(D) 988\\n(E) 889 Random thoughts:",
"from": "human"
},
{
"value": "Given Exp. = (a3 + b3) = (a + b) = (333 + 555) = 888(a2 - ab + b2) The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 2 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1 to 9 = 9 * 9 = 81\\n1 to 5 = 5 * 10 = 50\\n5 to 9 = 5 * 8 = 40\\n5th = 50 + 40 = 90 – 81 = 9 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15?\\nOptions:\\n(A) 13\\n(B) 11\\n(C) 9\\n(D) 1\\n(E) 3 Random thoughts:",
"from": "human"
},
{
"value": "45 + 31 = 76/15 = 1 (Remainder) The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. John makes $50 a week from his job. He earns a raise and now makes $70 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 17.9%\\n(D) 20%\\n(E) 40%",
"from": "human"
},
{
"value": "Increase = (20/50)*100 = (2/5)*100 = 40%.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 657.48 = 643.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 880\\n(D) 770\\n(E) 890\nSome stream of consciousness:",
"from": "human"
},
{
"value": "? = 285 + 1895 – 655 – 645 or, ? = 880 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The sale price sarees listed for Rs.400 after successive discount is 15% and 5% is?\\nOptions:\\n(A) 338\\n(B) 323\\n(C) 342\\n(D) 882\\n(E) 212",
"from": "human"
},
{
"value": "400*(85/100)*(95/100) = 323 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Express a speed of 720 kmph in meters per second?\\nOptions:\\n(A) 120 mps\\n(B) 200 mps\\n(C) 181 mps\\n(D) 190 mps\\n(E) 125 mps Stream of consciousness:",
"from": "human"
},
{
"value": "720 * 5/18 = 200 mps\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: 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) 400\\n(C) 4000\\n(D) 324\\n(E) 200\nSome stream of consciousness:",
"from": "human"
},
{
"value": "(30*30)/100 = 9%loss The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: What is the smallest positive integer x, such that 1,152x is a perfect cube?\\nOptions:\\n(A) 4\\n(B) 6\\n(C) 8\\n(D) 12\\n(E) 18 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "We need to make 1152x a perfect cube, hence we need to have the powers a multiple of 3\\n1152 = 2^7*3^2\\nThe minimum value of x for which 1152x is a perfect cube = 2^2*3 = 12\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "The Average of six numbers is 8. The average of the first two is 11 and the average of the last three is 4. What is the middle number?\\nOptions:\\n(A) A) 15\\n(B) B) 8\\n(C) C) 6\\n(D) D) 14\\n(E) E) 9 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The total of six numbers = 6X8 = 48\\nThe total of first 2 and last 3 numbers is = 2 X 11+3 X 4 = 34\\nSo, the middle number is (48 - 34 ) = 14\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\\nOptions:\\n(A) 9269\\n(B) 9261\\n(C) 9262\\n(D) 9231\\n(E) 9263",
"from": "human"
},
{
"value": "A = 8000(21/20)3 = 9261 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: What is the maximum number of pieces of birthday cake of size 2” by 2” that can be cut from a cake 20” by 20”?\\nOptions:\\n(A) 5\\n(B) 100\\n(C) 16\\n(D) 20\\n(E) 25 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 10 'pieces' each, we have (10)(10) = 100 total smaller squares (at maximum). The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 60 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17 minutes\\n(B) 87 minutes\\n(C) 30 minutes\\n(D) 27 minutes\\n(E) 11 minutes\nSome stream of consciousness:",
"from": "human"
},
{
"value": "1/20 - 1/60 = 1/30\\n30 minutes The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 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) 20\\n(B) 40\\n(C) 45\\n(D) 25\\n(E) 60",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 70 = 20\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Given a two-digit number, the unit's digit exceeds its ten's digit by 4 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?\\nOptions:\\n(A) 26\\n(B) 15\\n(C) 37\\n(D) 62\\n(E) 73 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Using the elimination method the option that fits this description is 15\\n5-1 = 4 (unit's digit that exceeds its ten's digit by 4)\\n15*6 = 90 (the product of the given number and the sum of its digits is equal to 175) So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 3 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?\\nOptions:\\n(A) 90\\n(B) 120\\n(C) 45\\n(D) 180\\n(E) 200 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Number of ways of selecting 2 fiction books = 3C2\\nNumber of ways of selecting 2 non fiction books = 6C2\\n3C2 * 6C2 = 3 * 15 = 45 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?\\nOptions:\\n(A) 7\\n(B) 14\\n(C) 25\\n(D) 27\\n(E) 30\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Initial no of students + 3 * (1 + No of possible 3 minute intervals between 15:03 and 15:44) -\\n8 *(1 + No of possible 10 minute intervals between 15:10 and 15:44)\\n20 + 3*14 -8 * 4 = 27 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?\\nOptions:\\n(A) 33\\n(B) 87\\n(C) 350\\n(D) 88\\n(E) 277",
"from": "human"
},
{
"value": "D = 72 * 5/18 = 25 = 500 – 150 = 350 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: 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 450 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) 8/3\\n(B) 2\\n(C) 8/5\\n(D) 5/8\\n(E) 5/3.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 450 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 450/3 = 150 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 = 150/75 = 2 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train 410 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\\n(B) 87\\n(C) 26\\n(D) 21\\n(E) 44\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 410 + 140 = 550 m\\nRequired time = 550 * 2/25 = 44 sec The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. What percent is 120 of 80?\\nOptions:\\n(A) 150 %\\n(B) 134 1/3 %\\n(C) 135 1/3 %\\n(D) 140 1/3 %\\n(E) 143 1/3 %",
"from": "human"
},
{
"value": "120/80 = 3/2\\n3/2 × 100 = 300/2 = 150 % So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "30 pens and 75 pencils were purchased for 570. 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 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Since average price of a pencil = 2\\n∴ Price of 75 pencils = 150\\n∴ Price of 30 pens = (570 – 150) = 360\\n∴ Average price of a pen = 420⁄60 = 14 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 3/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\\nOptions:\\n(A) 63/280\\n(B) 1/280\\n(C) 3/56\\n(D) 3/35\\n(E) 7/40 Stream of consciousness:",
"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) = 1/5*3/8*4/7 + 1/5*5/8*3/7 + 4/5*3/8*3/7 = 63/280.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the product of the localvalue and absolutevalue of 6 in 20618?\\nOptions:\\n(A) 6300\\n(B) 1100\\n(C) 1200\\n(D) 1300\\n(E) 3600\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Local value of 6 = 6 x 100 = 600\\nPlace value of 6 = 6\\nThere fore = 6 x 600 = 3600 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: The product of face value of 3 and local value of 6 in the numeral 78934064 is\\nOptions:\\n(A) 18\\n(B) 24\\n(C) 180\\n(D) 240\\n(E) 108.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "(Face value of 3) x (Local value of 6) = (3 x 60) = 180 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 1/5, 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) 1/28\\n(C) 7/40\\n(D) 3/35\\n(E) 5/40",
"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) = 1/5*3/8*5/7 + 1/5*5/8*2/7 + 4/5*3/8*2/7 = 7/40.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "(998-1)(998-2)(998-3)........(998-n)=....... when n>1000\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 2\\n(D) 1\\n(E) 0 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "The term (998-998) makes the whole expression = 0. So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\\nOptions:\\n(A) 288\\n(B) 270\\n(C) 999\\n(D) 278\\n(E) 121 Random thoughts:",
"from": "human"
},
{
"value": "I = (500*9*6)/100 = 270 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.\\nOptions:\\n(A) 33\\n(B) Monday\\n(C) 299\\n(D) 299\\n(E) 277 Stream of consciousness:",
"from": "human"
},
{
"value": "Ans: If a month has 31 days, and it starts with sunday, Then Sundays, Mondays, tuesdays are 5 for that month. If this month starts with monday, then mondays, tuesdays, and wednesdays are 5 and remaining days are 4 each. so this month start with Monday.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A no.when divided by 223 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\\nOptions:\\n(A) 2\\n(B) 7\\n(C) 9\\n(D) 11\\n(E) 15 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "223 + 43 = 266/17 = 11 (Remainder) The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "What percent is 120 of 60?\\nOptions:\\n(A) 133 1/3 %\\n(B) 134 1/3 %\\n(C) 200 %\\n(D) 140 1/3 %\\n(E) 143 1/3 % Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "120/60 = 2/1\\n2 × 100 = 200 %\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\\nOptions:\\n(A) 482\\n(B) 442\\n(C) 552\\n(D) 662\\n(E) 526 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "20000(11/10)4 - 20000(6/5)2 = 482 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?\\nOptions:\\n(A) 1/8\\n(B) 1/3\\n(C) 1/6\\n(D) 1/2\\n(E) 5/3.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "A's one day's work = 1/30\\nB's one day's work = 1/45\\n(A + B)'s one day's work = 1/30 + 1/45 = 1/18\\nThe part of the work completed in 3 days = 3 (1/18) = 1/6. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: If six persons sit in a row, then the probability that three particular persons are always together is -.\\nOptions:\\n(A) 1/5\\n(B) 1/7\\n(C) 1/9\\n(D) 1/2\\n(E) 2/7 Random thoughts:",
"from": "human"
},
{
"value": "3!4! Required probability = 3!4!/6! = 1/5 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: (y^n - b^n) is completely divisible by (y - b), when\\nOptions:\\n(A) n is odd natural number\\n(B) n is even natural number\\n(C) n is any natural number\\n(D) n is prime\\n(E) None.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "For every natural number n, (y^n - b^n) is completely divisible by (y - b). Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 7 (B + G) is ?\\nOptions:\\n(A) more than 7\\n(B) Less than 3\\n(C) More than 3\\n(D) Less than 1/3\\n(E) none of these Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Let number of boys = x\\nLet number of girls = y\\nTherefore x/y = B and y/x = G\\n7(B + G) = 7[(x/y) + (y/x)] = 7[(x2 + y2)/xy] > 7\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Look at this series: 0.25, 1.75, ____, 85.75, 600.25, ... What number should fill the blank?\\nOptions:\\n(A) 11.25\\n(B) 12.25\\n(C) 13.25\\n(D) 9.25\\n(E) 10.75",
"from": "human"
},
{
"value": "This is a simple multiplication series. Each number is 7 times greater than the previous number.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the mean proportional between 49 & 64?\\nOptions:\\n(A) A) 59\\n(B) B) 61\\n(C) C) 56\\n(D) D) 65\\n(E) E) 67",
"from": "human"
},
{
"value": "Formula = √a×b\\nA = 49 and B = 64\\n√49×64 = 7 × 8 = 56\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average age of applicants for a new job is 10, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\\nOptions:\\n(A) 8\\n(B) 16\\n(C) 17\\n(D) 18\\n(E) 34.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Minimum age = Average - 1 Standard deviation = 10 - 8 = 2\\nMaximum age = average + 1 Standard deviation = 10+ 8 = 18\\nMaximum number of different ages of the applicants = 18 - 2 + 1 = 17 Final answer: (C).",
"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 49. 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) 99\\n(D) 88\\n(E) 66",
"from": "human"
},
{
"value": "It is clear that 22 x 49 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 88\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The game of blackjack is played with a deck consisting of 13 cards (one of each of the numbers 2-10, one jack, one queen, one king, and one of ace) in each of four suits: clubs, diamonds, hearts, and spades.\\nIn a game of blackjack, if your first card is a spade, what are the odds that it is an ace?\\nOptions:\\n(A) 1/52\\n(B) 1/26\\n(C) 1/13\\n(D) 1/4\\n(E) 5/13",
"from": "human"
},
{
"value": "There are 13 spades, the probability that the spade we already have is an ace is therefore 1/13. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: What should come in place of the question mark (?) in the following equation?\\n45789+ 34567 = 610+ ?\\nOptions:\\n(A) 96543\\n(B) 13678\\n(C) 23456\\n(D) 56789\\n(E) 79746 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "45789+ 34567 = 610+ ?\\n45789+ 34567 – 610 = 79746\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the mean proportional between 36 & 49?\\nOptions:\\n(A) A) 42\\n(B) B) 61\\n(C) C) 63\\n(D) D) 65\\n(E) E) 67 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Formula = √a×b\\nA = 36 and B = 49\\n√36×49 = 6 × 7 = 42 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The compound ratio of 2/3, 6/7, 4/3 and 1/8 is given by?\\nOptions:\\n(A) 2/21\\n(B) 1/48\\n(C) 1/98\\n(D) 1/96\\n(E) 1/68",
"from": "human"
},
{
"value": "2/3 * 6/7 * 4/3 * 1/8 = 48/504 = 2/21\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Which of the options is a two-digit number, which has a unit's digit that exceeds its ten's digit by 6 and the product of the given number and the sum of its digits is equal to 136.\\nOptions:\\n(A) 82\\n(B) 93\\n(C) 39\\n(D) 28\\n(E) 17",
"from": "human"
},
{
"value": "Using the elimination method the option that fits this description is 17\\n7-1 = 3 (unit's digit that exceeds its ten's digit by 3)\\n17*8 = 136 (the product of the given number and the sum of its digits is equal to 175) So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and B together can do it in 2 hours. How long will C alone take to do it?\\nOptions:\\n(A) 2hours\\n(B) 5hours\\n(C) 6hours\\n(D) 4hours\\n(E) 3hours",
"from": "human"
},
{
"value": "A's 1 hour work = 1/3;\\n(B + C)'s 1 hour work = 1/2;\\n(A + B)'s 1 hour work = 1/2\\n(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6\\nC's 1 hour work = (5/6 - 1/2) = 1/3\\nC alone will take 3 hours to do the work.\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Using all the letters of the word \"THURSDAY\", how many different words can be formed?\\nOptions:\\n(A) 8!\\n(B) 1\\n(C) 7\\n(D) 6\\n(E) 5 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Total number of letters = 8\\nUsing these letters the number of 8 letters words formed is 8P8 = 4. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A boy runs 200 metres in 60 seconds. What is his speed ?\\nOptions:\\n(A) 12 km/hr\\n(B) 24 km/hr\\n(C) 13 km/hr\\n(D) 14 km/hr\\n(E) 16 km/hr Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "200/60 * 18/5 = 12 km/hr\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 70 with him, what was the average amount with the group before his joining the group?\\nOptions:\\n(A) s. 25.6\\n(B) s. 70/3\\n(C) s. 16.6\\n(D) s. 26/3\\n(E) s. 25 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Total members in the group = 7\\nAverage amount = Rs. 30\\nTotal amount with them = 7 * 30 = Rs. 210\\nOne number has Rs. 70. So, the amount with remaining 6 people = 210 - 70 = Rs. 140\\nThe average amount with them = 140/6 = Rs. 70/3 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Which is longest: a foot, a yard or an inch?\\nOptions:\\n(A) a yard\\n(B) inch\\n(C) foot\\n(D) feet\\n(E) cm Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "3 feet = 1 yard\\n12 inches = 1 foot\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "For some integer p, p^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 30\\n(B) 38\\n(C) 41\\n(D) 29\\n(E) 31 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?\\nOptions:\\n(A) 2m −1\\n(B) 4m\\n(C) 5m\\n(D) m/5\\n(E) 6m/5\nSome stream of consciousness:",
"from": "human"
},
{
"value": "14m - n = p\\nAdd n to both sides:\\n14m = n + p\\nAdd m to both sides:\\n15m = n + p + m\\nNow, divide both sides by 3\\n5m = (n + p + m)/3 = the average of n, p, and m The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat during the whole flight?\\nOptions:\\n(A) 36\\n(B) 40\\n(C) 42\\n(D) 54\\n(E) 65 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Distance from nest to lake = d, Speed = 60, Time = d/60\\nDistance from lake to cave = d/2, Speed = 45, Time = d/90\\nAverage speed = (d + d/2)/(d/60 + d/90) = (3/2)/(1/36) = 54 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 16 teams in a tournament. If during the first round, each team plays every other team exactly once, how many games will be played in the first round?\\nOptions:\\n(A) 15\\n(B) 30\\n(C) 120\\n(D) 240\\n(E) 256 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of ways to pick 2 teams from a total of 16 = 16C2 = 16!/14!*2! = 120. Hence\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Last year, Company Z made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his two other partners. In terms of q, how much did each of the other partners receive?\\nOptions:\\n(A) q/4\\n(B) q/5\\n(C) q/6\\n(D) q/7\\n(E) q/8",
"from": "human"
},
{
"value": "Profit = q\\nProfit to company founder = q/2\\nProfit to other partners = q/2\\nNumber of other partners = 2\\nProfit to each partner = (q/2)/2 = q/4\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 120 kmph. Find the speed of the boat in still water and the speed of the stream?\\nOptions:\\n(A) 70, 10 kmph\\n(B) 35, 27 kmph\\n(C) 110, 10 kmph\\n(D) 45, 55 kmph\\n(E) 45, 65 kmph Random thoughts:",
"from": "human"
},
{
"value": "Speed of the boat in still water = (100+120)/2 = 110 kmph. Speed of the stream = (120-100)/2 = 10 kmph The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 88 players took part in that tournament. How many matches were played?\\nOptions:\\n(A) 90 matches\\n(B) 95 matches\\n(C) 99 matches\\n(D) 85 matches\\n(E) 87 matches",
"from": "human"
},
{
"value": "E 87 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 87 matches were played. So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 22 sec\\n(B) 16 sec\\n(C) 77 sec\\n(D) 55 sec\\n(E) 17 sec Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 280 * 2/35 = 16 sec\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 80 km downstream and 38 km upstream, taking 3 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6\\n(B) 9\\n(C) 7\\n(D) 8\\n(E) 2 Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 80/(3) = 27 kmph\\nSpeed upstream = d/t = 38/(3) = 9 kmph\\nThe speed of the stream = (27 - 9)/2 = 9 kmph\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The ratio of males and females in a city is 7 : 8 and the percentage of children among males and females is 25% and 20% respectively. If the number of adult females in the city is 156800 what is the total population?\\nOptions:\\n(A) 245000\\n(B) 367500\\n(C) 196000\\n(D) 171500\\n(E) None of these",
"from": "human"
},
{
"value": "Number of females = 156800 × 100⁄80 = 196000\\n\\ Number of males = 7⁄8 × 196000 = 171500\\n\\ Total population = 196000 + 171500 = 367500 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the third proportional to 2 and 10?\\nOptions:\\n(A) 10\\n(B) 12\\n(C) 16\\n(D) 19\\n(E) 50 Random thoughts:",
"from": "human"
},
{
"value": "Formula = Third proportional = (b × b)/a\\nA = 2 and B = 10\\n(10 × 10)/ 2 = 100/2 = 50 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "In Cricket 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 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "In Cricket 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.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 277\\n(B) 267\\n(C) 153\\n(D) 188\\n(E) 151 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n850 * 18/100 = 153 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the largest 5 digit number which is exactly divisible by 88?\\nOptions:\\n(A) 98765\\n(B) 98907\\n(C) 99944\\n(D) 99954\\n(E) 99968\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Largest 5 digit number is 99999\\nAfter doing 99999 ÷ 88 we get remainder 31\\nHence largest 5 digit number exactly divisible by 88 = 99999 - 31 = 99968 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "What is the area of a square with perimeter 2P ?\\nOptions:\\n(A) 16p^2\\n(B) 4P\\n(C) P^2/5\\n(D) P/16\\n(E) P^2/4 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Each side is p/2\\nA = (p/2)^2 = (p^2)/4 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: 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\\n(B) 17 1/9\\n(C) 17 1/2\\n(D) 17 1/7\\n(E) 17 1/5.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1/30 + 1/40 = 7/120\\n120/7 = 17 1/7 days Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe 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) 2/7\\n(E) 3/8.\nAnother student: Let's say, hmmm...\n",
"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 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 120 km/hr crosses a pole in 9 seconds. Find the length of the train.\\nOptions:\\n(A) 100 meter\\n(B) 150 meter\\n(C) 200 meter\\n(D) 250 meter\\n(E) 300 meter Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 120*(5/18) m/sec = 200/6 m/sec\\nLength of Train (Distance) = Speed * Time\\n(200/6) * 9 = 300 meter\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is:\\nOptions:\\n(A) 279\\n(B) 283\\n(C) 308\\n(D) 318\\n(E) 328\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Other number = (11 * 7700)/275 = 308. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "From among the 31 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) 930 Stream of consciousness:",
"from": "human"
},
{
"value": "There are 31 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 31 ways. When one person is appointed as leader, we are left with 35 students. Out of these 30 teachers, we can select one class representative. So, a class representative can be selected in 30 ways. Hence, the number of ways in which a leader and class representative can be selected = 31 x 30 = 930\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In the x-y plane, point (x, y) is a lattice point if both x and y are integers. Circle C has a center at (-2, -2) and a diameter of 8. Some points, such as the center (-2, -2), are inside the circle, but a point such as (-2, 2) is on the circle but not in the circle. How many lattice points are in circle C?\\nOptions:\\n(A) 40\\n(B) 10\\n(C) 73\\n(D) 60\\n(E) 63\nSome stream of consciousness:",
"from": "human"
},
{
"value": "The lattice points that are in the circle that lie on the perspective axes is as follows: since the diameter is 8, 9 points lie on the horizontal axis (8 + center), but the end points are not in the circle, so 9 - 2 (the same for the vertical axis, but don't count center again), 7 - 1. The lattice points in the circle and not on the horizontal and vertical axes is as follows: lattice points can be found at 45, 45/2 and 30 degrees of axes (30 and 45/2 degrees from horizontal and vertical axes), so same numbers as before, but don't count center again. So, 13 + 5 * 12 = 73\\nThere are a total of 73 lattice points in the circle. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Fill in the blank with the correct number in this number series: 6, 45, 14, 40, __, 35, 30, ?\\nOptions:\\n(A) 13\\n(B) 22\\n(C) 24\\n(D) 27\\n(E) 18",
"from": "human"
},
{
"value": "This is a simple alternating subtraction and addition series; The first series begins with 6 and adds 8; the second begins with 45 and subtracts 5, and so on. So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the wrong number below mentioned series\\n5,24,60,120,210,340\\nOptions:\\n(A) 340\\n(B) 210\\n(C) 5\\n(D) 60\\n(E) none Stream of consciousness:",
"from": "human"
},
{
"value": "5 is the only prime number or odd number in the series.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: If f(x) = x^4/(x^5 - 1), what is f(1/x) in terms of f(x)?\\nOptions:\\n(A) f(x) \\n(B) 2*f(x) \\n(C) 1/f(x) \\n(D) -f(x) \\n(E) 2/f(x) Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "If x = 2 then f(x) = 16/31 and f(1/x) = -16/31 which is equal to -f(x)\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train running at the speed of 180 km/hr crosses a pole in 8 seconds. Find the length of the train.\\nOptions:\\n(A) 150\\n(B) 88\\n(C) 480\\n(D) 288\\n(E) 400 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Speed = 180*(5/18) m/sec = 50 m/sec\\nLength of Train (Distance) = Speed * Time\\n50 *8 = 400 meter The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 252 can be expressed as a product of primes as:\\nOptions:\\n(A) 2 x 2 x 3 x 3 x 7\\n(B) 2 x 2 x 2 x 3 x 7\\n(C) 3 x 3 x 3 x 3 x 7\\n(D) 2 x 3 x 3 x 3 x 7\\n(E) 7 x 3 x 3 x 3 x 7",
"from": "human"
},
{
"value": "252 = 2 x 2 x 3 x 3 x 7. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average age of applicants for a new job is 35, with a standard deviation of 30. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\\nOptions:\\n(A) 8\\n(B) 16\\n(C) 31\\n(D) 18\\n(E) 34 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Minimum age = Average - 1 Standard deviation = 35 - 30 = 5\\nMaximum age = average + 1 Standard deviation = 35+ 30 = 35\\nMaximum number of different ages of the applicants = 35- 5 + 1 = 31\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The average of first 15 even numbers is?\\nOptions:\\n(A) 10\\n(B) 11\\n(C) 12\\n(D) 16\\n(E) 14",
"from": "human"
},
{
"value": "Sum of 15 even numbers = 15 * 16 = 240\\nAverage = 240/15 = 16\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: In Hockey 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 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "In Hockey 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.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "How much is 80% of 40 is greater than 4/5 of 25?\\nOptions:\\n(A) 17\\n(B) 19\\n(C) 11\\n(D) 12\\n(E) 10 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "(80/100) * 40 – (4/5) * 25\\n32 - 20 = 12 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\\nOptions:\\n(A) 50\\n(B) 54\\n(C) 47\\n(D) 40\\n(E) 45 Stream of consciousness:",
"from": "human"
},
{
"value": "Area of tile = 60*56 = 3360\\nArea of floor = 560*240 = 134400\\nNo of tiles = 134400/3360 = 40\\nSo, the no of tile = 40\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 8 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "S = 600/40 = 15 mps\\nS = 3600/15 = 240 sec = 4 min\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "John makes $40 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?\\nOptions:\\n(A) 16%\\n(B) 16.66%\\n(C) 76.69%\\n(D) 76.98%\\n(E) 75% Stream of consciousness:",
"from": "human"
},
{
"value": "Increase = (30/40)*100 = (3/4)*100 = 75%.\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\\nOptions:\\n(A) (a – b) 2 + 4ab\\n(B) a(a + b) + b(a + b) \\n(C) (a2 – b2) + 2b(b + a) \\n(D) (a – b) b + (a + b) 2b\\n(E) (a + b) 2 – 2a(a – b) + a(2a – 2b) Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The other parts are equal to (a + b)2.\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?\\nOptions:\\n(A) 1/9 sq units.\\n(B) 4/9 sq units.\\n(C) 8/9 sq units.\\n(D) 7/9 sq units.\\n(E) 6/9 sq units.\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Area will be 2/3 *4/3 = 8/9 sq units. The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Find the product of the local value and absolute value of 4 in 20468?\\nOptions:\\n(A) 1000\\n(B) 1100\\n(C) 1200\\n(D) 1340\\n(E) 1600\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Local value of 4 = 4 x 100 = 400\\nPlace value of 4 = 4\\nThere fore = 4 x 400 = 1600 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of five results is 46 and that of the first four is 45. The fifth result is?\\nOptions:\\n(A) 22\\n(B) 02\\n(C) 78\\n(D) 50\\n(E) 18 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "5 * 46 – 4 * 45 = 50 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A train 460 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\\n(B) 87\\n(C) 48\\n(D) 21\\n(E) 14 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 460 + 140 = 600 m\\nRequired time = 600 * 2/25 = 48 se So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A train which has 400 m long, is running 50 kmph. In what time will it cross a person moving at 14 kmph in same direction ?\\nOptions:\\n(A) 40 sec\\n(B) 35 sec\\n(C) 33 sec\\n(D) 42 sec\\n(E) 41 sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Time taken to cross a moving person = length of train/ relative speed\\nTime taken = 400/((50-14) (5/18) = 400/ 36*(5/18) = 400/10 = 40 sec The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?\\nOptions:\\n(A) 2 1/0\\n(B) 2 1/8\\n(C) 2 1/5\\n(D) 2 1/3\\n(E) 2 1/2.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours. Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Tom 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) 15 Kmph\\n(B) 29 Kmph\\n(C) 25 Kmph\\n(D) 30 Kmph\\n(E) 34 Kmph Think first, then make a decision. 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 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If x is a positive integer, which of the following could NOT be the square of x?\\nOptions:\\n(A) 5,008,644\\n(B) 5,004,169\\n(C) 4,999,696\\n(D) 4,995,225\\n(E) 4,990,752",
"from": "human"
},
{
"value": "A perfect square will never end in 2, 3, 7 or 8. (last digit cannot be 2, 3, 7 or 8)\\nHere E is the odd one out.\nThe final answer: (E).",
"from": "gpt"
}
] |
Subsets and Splits