conversations
list |
|---|
[
{
"value": "Some question: At a supermarket, a variety of cookies was priced at 75 cents per 100 grams. Subsequently, the price was revised to 40 cents for 30 grams of the same cookies. By approximately what percent did the ratio of price to weight increase from the initial price of 75 cents per pound?\\nOptions:\\n(A) 65\\n(B) 78\\n(C) 44\\n(D) 18\\n(E) 36\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Initial price/weight ratio = 75 / 100 = 225/300\\nRevised price/weight ratio = 40 / 30 = 400/300 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?\\nOptions:\\n(A) 13\\n(B) 25\\n(C) 17\\n(D) 12\\n(E) 11 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "11 cartons total\\n7 large boxes (7 * 8 = 56 boxes)\\n4 small boxes (4 *10 = 40 boxes\\n11 total cartons and 96 boxes\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Anish borrowed 15000 at the rate of 12% and an other amount at the rate of 15% for two years. The total interest paid by him was 9000. How much did he borrow?\\nOptions:\\n(A) 32,000\\n(B) 33,000\\n(C) 30,000\\n(D) 35,000\\n(E) None of these Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Let x be the other amount\\n\\ 3x⁄10 + 3600 = 900 ⇒ x = 18000\\n\\ total borrowed sum = 33000\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Fill in the blank with the correct number in this number series: 3, 9, 8, 7, __, 5, 18, ?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 9\\n(D) 10\\n(E) 13\nSome stream of consciousness:",
"from": "human"
},
{
"value": "This is a simple alternating subtraction and addition series; The first series begins with 3 and adds 5; the second begins with 9 and subtracts 2, and so on. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "In store A there are 10 pairs of pants for every 40 store B has. The price ratio between the pants in store B and the pants in store A is 3:4. If all the pants were sold in both places until the stock ran out, what is the ratio between the total amount stores A earned to the total amount store B earned?\\nOptions:\\n(A) 3:16.\\n(B) 2:3.\\n(C) 1:3.\\n(D) 3:4.\\n(E) 2:5 Stream of consciousness:",
"from": "human"
},
{
"value": "Amount for Store a = 10 * 4 = 40\\nAmount for Store b = 40 * 3 = 120\\nRatio of Total Amount Would be = 40/120 = 1:3\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A traveller makes 3/4 of his journey by train and 2/3 of the rest by car. If he walks the remaining 12 Kms, the total distance traveled by him is\\nOptions:\\n(A) 124 Kms\\n(B) 134 Kms\\n(C) 144 Kms\\n(D) 244 Kms\\n(E) None of the above Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(1-(3/4))(1-(2/3)of distance = 12 km\\n(1/12) of distance = 12 km\\nHence distance = 144 km\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A can do a piece of work in 3 hours; B and C together can do it in 2 hours, which A and C together can do it in 2 hours. How long will B alone take to do it?\\nOptions:\\n(A) 6hours\\n(B) 3hours\\n(C) 2hours\\n(D) 5hours\\n(E) 4hours.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "A's 1 hour work = 1/3;\\n(B + C)'s 1 hour work = 1/2;\\n(A + C)'s 1 hour work = 1/2\\n(A + B + C)'s 1 hour work = (1/3 + 1/2) = 5/6\\nB's 1 hour work = (5/6 - 1/2) = 1/3\\nB alone will take 3 hours to do the work. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?\\nOptions:\\n(A) 20\\n(B) 15\\n(C) 18\\n(D) 40\\n(E) 25 Random thoughts:",
"from": "human"
},
{
"value": "No of ways = 10+ 15 = 25 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A man pointing to a photo says \"The lady in the photograph is my nephew’s maternal grandmother\". How is the lady in the photograph related to the man’s sister who has no other sister ?\\nOptions:\\n(A) Cousin\\n(B) Sister-in-law\\n(C) Mother\\n(D) Mother-in-law\\n(E) None of these",
"from": "human"
},
{
"value": "Since the man is referring to his nephew, the nephew’s parent has to be a sibling to the man. Now the last part says that the man’s sister has no other sister and hence the brother-sister relationship is established between the man and his nephew’s mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man’s sister.\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much?\\nLook at this series: 1, 5, 7, 3, __, 1 ...Which number is missing?\\nOptions:\\n(A) 2\\n(B) 4\\n(C) 12\\n(D) 0\\n(E) 13 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "E\\n13\\nThis is an alternating addition and subtraction series. In the first pattern, 6 is added to each number to arrive at the next. In the second, 2 is subtracted from each number to arrive at the next.\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "A train of 25 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 180 sec\\n(D) 4 mins 54 sec\\n(E) 2 mins 44 sec Stream of consciousness:",
"from": "human"
},
{
"value": "D = 25 * 60 + 1500 = 3000 m\\nT = 3000/60 * 18/5 = 180 se\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in\\nOptions:\\n(A) 3days\\n(B) 2days\\n(C) 5days\\n(D) 6days\\n(E) 1day",
"from": "human"
},
{
"value": "The length of wall painted by one man in one day = 60 / 4 × 3 = 5 m\\nNo. of days required to paint 50 m wall by 5 men = 50/ 5 × 5 = 2 day.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 36 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 36\\n(C) 70\\n(D) 13\\n(E) 12 Stream of consciousness:",
"from": "human"
},
{
"value": "1/18 - 1/36 = 1/36\\n36 minutes\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: A 200 meter long train crosses a man standing on the platform in 9 sec. What is the speed of the train?\\nOptions:\\n(A) 228\\n(B) 108\\n(C) 1266\\n(D) 188\\n(E) 80 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "S = 200/9 * 18/5 = 80 kmph The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. How much 60% of 50 is greater than 40% of 30?\\nOptions:\\n(A) 18\\n(B) 91\\n(C) 11\\n(D) 17\\n(E) 12",
"from": "human"
},
{
"value": "(60/100) * 50 – (40/100) * 30\\n30 - 12 = 18\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If the personal income tax rate is lowered from 46% to 32%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36000?\\nOptions:\\n(A) $3500\\n(B) $5040\\n(C) $3150\\n(D) $7000\\n(E) $10000 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Saving = (46-32)% of 36000 = 5040. So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 5 days, B and C in 15 days and C and A in 25 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 26/18\\n(B) 42/15\\n(C) 48/63\\n(D) 12/36\\n(E) 150/23 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "One day work of A and B = 1/5\\nOne day work of B and C = 1/15\\nOne day work of C and A = 1/25\\n2(A + B + C) = 1/5+ 1/15 + 1/25\\n2(A + B + C) = 23/75\\n(A + B + C) = 23/150\\nNumber of days required = 150/23 days. So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?\\nOptions:\\n(A) 40 sec\\n(B) 11 sec\\n(C) 88 sec\\n(D) 19 sec\\n(E) 44 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 360 + 190 = 550 m\\nRequired time = 550 * 2/25 = 44 sec\nTherefore, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the simple interest on Rs.620 for 10 months at 10 paisa per month?\\nOptions:\\n(A) 277\\n(B) 620\\n(C) 640\\n(D) 678\\n(E) 121 Random thoughts:",
"from": "human"
},
{
"value": "I = (620*10*10)/100 = 620 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train 175 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) 17 sec\\n(D) 88 sec\\n(E) 10 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 175 * 2/35 = 10 sec The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Which of the following is a prime number ?\\nOptions:\\n(A) 90\\n(B) 94\\n(C) 96\\n(D) 97\\n(E) 98.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Clearly, 97 is a prime number. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Avinash 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) 10 Kmph\\n(B) 15 Kmph\\n(C) 25 Kmph\\n(D) 27 Kmph\\n(E) 30 Kmph OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Total distance = 8 Km\\nTotal time = 50 Km\\nTime taken to cover the distence of 3 Km = 50*2/5 = 20 min = 1/3 hours\\nRemaining distance = 8 - 3 = 5 Km\\nRequired speed = 5/1/3 = 15 Kmph The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Suzy has a lot of skeins of yarn, she has blue, yellow, and red yarn. She has twice as much blue yarn as yellow yarn, and she has twice as much yellow yarn as she has red yarn. If she has X skeins of yarn, how many of the skeins are red, in terms of X?\\nOptions:\\n(A) X/8\\n(B) X/7\\n(C) X/6\\n(D) X/5\\n(E) X/4.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Since the total number of skeins is X, then X = Blue + Yellow + Red\\nBecause there are twice as many Blue as Yellow, then Blue = 2*Yellow\\nThus X = 2*Yellow + Yellow + Red, which simplifies to X = 3*Yellow + Red\\nBecause there are twice as many Yellow as Red, then Yellow = 2*Red\\nThus X = 3*(2*Red) + Red, which simplifies to X = 7*Red\\nTherefore Red = X/7 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: The ages of Rahul and Madhan differ by 16 years. Six years ago, Madhan’s age was thrice as that of Rahul’s,find their present ages\\nOptions:\\n(A) 14 years, 30 years\\n(B) 12 years, 28 years\\n(C) 16 years, 34 years\\n(D) 18 years, 38 years\\n(E) none of these Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Let Rahul’s age = x years\\nSo, Madhan’s age = ( x + 16 )years\\nAlso, 3(x - 6) = x + 16 - 6 or, x = 14\\nRahul’s age = 14 years\\nAnd, Madhan’s age 14 + 16 = 30 years\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 1:5\\n(C) 1:4\\n(D) 2:3\\n(E) 1:8 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "T = 288/32 = 9 h\\nT = 9 - 3 = 6\\nTime Ratio = 9:6 = 3:2\\nSpeed Ratio = 2:3\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "What least number must be added to the least number of six digits so that the resulting number may be a perfect square.\\nOptions:\\n(A) 489\\n(B) 267\\n(C) 278\\n(D) 199\\n(E) 111 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The least number of six digits = 100000 3 10 00 00 317 9 61 100 61 627 3900 4389 – 489 Least number to be added = 489.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Find the wrong number below mentioned series\\n3,20,50,60,80\\nOptions:\\n(A) 80\\n(B) 60\\n(C) 50\\n(D) 20\\n(E) 3",
"from": "human"
},
{
"value": "3 is the only prime number or odd number in the series.\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The sale price sarees listed for Rs.400 after successive discount is 20% and 5% is?\\nOptions:\\n(A) 338\\n(B) 277\\n(C) 342\\n(D) 882\\n(E) 304 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "400*(80/100)*(95/100) = 304\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A can do a piece of work in 15 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\\nOptions:\\n(A) 11 6/7days\\n(B) 12 6/7days\\n(C) 13 6/7days\\n(D) 14 6/7days\\n(E) 15 6/7days",
"from": "human"
},
{
"value": "8/15 + 6/x = 1\\nX = 12 6/7days\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Sarah's grade was 50th percentile of the 20 grades for her class. Of the 30 grades from another class, 10 were higher than Sarah's, and the rest were lower. If no other grade was the same as Sarah's grade, then Sarah's grade was what percentile of the grades of the two classes of two classes combined?\\nOptions:\\n(A) 52nd\\n(B) 56th\\n(C) 60th\\n(D) 70th\\n(E) 82nd Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "52nd/56th/60th/70th/82nd So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A train 210 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) 17 sec\\n(D) 18 sec\\n(E) 12 sec Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 210 * 2/35 = 18 sec So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A man walks at a speed of 3 km/hr and runs at a speed of 9 km/hr. How much time will the man require to cover a distance of 18 km, if he completes half of the distance, i.e., (9) km on foot and the other half by running?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 6\\n(D) 8\\n(E) 9 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Required time = (9)/3 + (9)/9 = 4 hours.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find the odd man out 4, 5, 15, 49, 201, 1011, 6073\\nOptions:\\n(A) 10\\n(B) 7\\n(C) 5\\n(D) 2\\n(E) 3 Random thoughts:",
"from": "human"
},
{
"value": "4 x 1 + 2 = 6\\n6 x 2 + 3 = 15\\n15 x 3 + 4 = 49\\n49 x 4 + 5 = 210 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 65 with him, what was the average amount with the group before his joining the group?\\nOptions:\\n(A) s. 25.6\\n(B) s. 145/6\\n(C) s. 16.6\\n(D) s. 26\\n(E) s. 25 Stream of consciousness first, then make a decision:",
"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. 50. So, the amount with remaining 6 people = 210 - 65 = Rs. 145\\nThe average amount with them = 145/6\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 8 ?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 4\\n(E) none of these Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "A number ending in 8 can never be a perfect squar So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are traveling on parallel tracks in the same direction. The faster train travels at 150 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 10 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 140 miles\\n(E) 400 miles Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Answer = D. 140 miles\\nRelational speed = 150 - 100 = 50 miles per hour\\nIn 3 hours, difference = 50 * 3 = 150 miles\\nFast train trailing 10 miles, so effective difference = 150 - 10 = 140 miles So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 120 km downstream and 92 km upstream, taking 4 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6 kmph\\n(B) 4 kmph\\n(C) 2 kmph\\n(D) 8 kmph\\n(E) 1 kmph Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 120/(4) = 30 kmph\\nSpeed upstream = d/t = 92/(4) = 23 kmph\\nThe speed of the stream = (30 - 23)/2 = 4 kmph\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 50\\n(D) 49\\n(E) 97.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "We have 99 managers and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 managers must leave. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Twenty percent of Country Y's yearly exports come from fruit exports. One-sixth of all fruit exports from Country Y are orange exports. If country Y generates $4 million from its orange exports, how much money does it generate from its yearly total of exports?\\nOptions:\\n(A) $21.25m\\n(B) $25.5m\\n(C) $106.25m\\n(D) $120m\\n(E) $153m Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "2/10*1/6*(total) = 4\\n1/30*(total) = 4\\n(total) = 4*30 = 120 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A truck traveled 120 km with a speed of 60 kmh. How much time did it take to reach the destination?\\nOptions:\\n(A) 3 hours\\n(B) 4 hours\\n(C) 5 hours\\n(D) 2 hours\\n(E) 6 hours",
"from": "human"
},
{
"value": "Time = Distance/Speed\\n120/60 = 2 So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "100 white and black tiles will be used to form a 20x20 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\\nOptions:\\n(A) 75\\n(B) 80\\n(C) 85\\n(D) 70\\n(E) 95 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Answer = D\\nPlease refer diagram below\\n80 - 10 = 70 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?\\nOptions:\\n(A) 6 metre\\n(B) 12 metre\\n(C) 120 metre\\n(D) 1200 metre\\n(E) 130 metre Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of times wheel moves in 1 hour = 10 * 60 = 600\\n:. Distance moves = (600 *20) cms = 12000 cms\\nIn metres = 120 metre\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Two persons A and B can complete a piece of work in 40 days and 60 days respectively. If they work together, what part of the work will be completed in 6 days?\\nOptions:\\n(A) 1/8\\n(B) 1/3\\n(C) 1/6\\n(D) 1/2\\n(E) 1/4 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "A's one day's work = 1/40\\nB's one day's work = 1/60\\n(A + B)'s one day's work = 1/40 + 1/60 = 1/24\\nThe part of the work completed in 6 days = 6 (1/24) = 1/4.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is\\nOptions:\\n(A) 2 years\\n(B) 3years\\n(C) 4 years\\n(D) 5 years\\n(E) 6 years Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24\\n18x+ 36x = 246 ; x = 246/54 = 4 years\\nRequired time = 4 years\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/9%\\n(B) 33 1/3%\\n(C) 332 1/3%\\n(D) 33 9/3%\\n(E) 13 1/3% Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "P = (P*3*R)/100\\nR = 33 1/3%\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A train running at the speed of 60 km/hr crosses a pole in 21 sec. What is the length of the train?\\nOptions:\\n(A) 350 m\\n(B) 490 m\\n(C) 115 m\\n(D) 210 m\\n(E) 150 m",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 21 = 350 m\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?\\nOptions:\\n(A) 5/9\\n(B) 5/4\\n(C) 5/1\\n(D) 5/6\\n(E) 5/2 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "P(at least one graduate) = 1 - P(no graduates)\\n(6 * 5 * 4)/(10 * 9 * 8) = 5/6\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Find the odd man out\\n36, 315, 612, 810, 966, 1362\\nOptions:\\n(A) 966\\n(B) 612\\n(C) 315\\n(D) 36\\n(E) 1362",
"from": "human"
},
{
"value": "315is divisible by 3 which is odd number where as all others are even numbers divisible by 3.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A train 90 m long running at 56 kmph crosses a platform in 18 sec. What is the length of the platform?\\nOptions:\\n(A) 190\\n(B) 200\\n(C) 180\\n(D) 881\\n(E) 271.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "D = 56 * 5/18 = 25 = 280 – 90 = 190 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "137+276=435 how much is 731+672?\\nOptions:\\n(A) 534\\n(B) 1403\\n(C) 1623\\n(D) 1513\\n(E) 1613 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "137-731 and 276-672 similarly 435-534 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 30 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is\\nOptions:\\n(A) 3/200\\n(B) 1/59\\n(C) 1/56\\n(D) 1/54\\n(E) 1/53 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "The probability of selecting girl is: 25/100 = 1/4\\nThe probability of selecting rich is: 20/100 = 1/5\\nThe probability of selecting fair complexioned is: 30/100 = 3/10\\nThree are independent;probability of rich and fair complexioned girl is:\\n(1/4) ×(1/5) × (3/10) = 3/200 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some persons can do a piece of work in 32 days. Two times the number of these people will do half of that work in?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 8 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "32/ (2 * 2) = 8 days\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first 3 flips and not on the last 2 flips?\\nOptions:\\n(A) 3/5\\n(B) 1/2\\n(C) 1/5\\n(D) 1/8\\n(E) 1/32 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "On the first three flips, you must get heads. Whats the probability of getting heads ? Its 1/2\\nSo for the first three flips, your probability is (1/2)^3 = 1/8\\nNow for the last two, you want to get tails only. Whats the prob of getting tails ? Well, its the same as prob of getting a heads, namely, 1/2\\nFor the last two flips, your probability is (1/2)^2 = 1/4\\nSo your overall probability for the event in question is 1/8*1/4 = 1/32 So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a red shirt. If there are more than 4 people in line, which of the following cannot be the number of people in the line?\\nOptions:\\n(A) 17\\n(B) 37\\n(C) 49\\n(D) 61\\n(E) 72 Random thoughts:",
"from": "human"
},
{
"value": "The correct answer should not take the form: 4x + 1. Hence, it is The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds. What is the length of the platform in meters?\\nOptions:\\n(A) 200 meters\\n(B) 360 meters\\n(C) 420 meters\\n(D) 600 meters\\n(E) Cannot be determined Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Speed of the train in metres/sec = 72000/3600 = 20\\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\\nDistance travelled by train to cross the man = 20 * 20 = 400 = Length of train\\nLength of platform = 600 - 400 = 200\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If f(x) = x^2/(x^5 - 1), what is f(1/x) in terms of f(x)?\\nOptions:\\n(A) 1/f(x) \\n(B) -f(x) \\n(C) 2/f(x) \\n(D) f(x) \\n(E) 3*f(x) Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "If x = 2 then f(x) = 4/31 and f(1/x) = -4/31 which is equal to -f(x)\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The average of 11 results is 46, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\\nOptions:\\n(A) 21\\n(B) 56\\n(C) 100\\n(D) 25\\n(E) 23 Random thoughts:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 46 = 506\\n1 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 506 = 100 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. What approximate value should come in place of question mark (?) in the following equation\\n287.532 + 1894.029 – 657.48 = 543.095 + ?\\nOptions:\\n(A) 870\\n(B) 790\\n(C) 980\\n(D) 770\\n(E) 890",
"from": "human"
},
{
"value": "? = 285 + 1895 – 655 – 545 or, ? = 980\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the third proportional to 4 and 16?\\nOptions:\\n(A) 80\\n(B) 12\\n(C) 64\\n(D) 78\\n(E) 72.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Formula = Third proportional = (b × b)/a\\nA = 4 and B = 16\\n(16 × 16)/ 4 = 256/4 = 64 Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?\\nOptions:\\n(A) 12 min\\n(B) 6 min\\n(C) 4 min\\n(D) 8 min\\n(E) 10 min Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "1/8 + 1/24 = 1/6\\n6 * 2 = 12\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The radius of a cone is 4 m, height 5 m. Find the curved surface area?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9 Stream of consciousness:",
"from": "human"
},
{
"value": "Cone curved surface area = πrl = 22/7 × 4 × 5 = 440/7 = 62 6/7\\nSlant height (l) = √r(power2)+h(power2) = √16+9 = √25 = 5\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "In an office, 60 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?\\nOptions:\\n(A) 96\\n(B) 64\\n(C) 50\\n(D) 144\\n(E) 160 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(10/100)Workers = 16 = > number of workers = 160\\n(60/100)*Workers = x+16 = > x = 96\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A girl is organizing her jellybean collection in which each color has its own row. In each row, there are as many jellybeans as the number of jellybean colors. Her little brother chops each jellybean into the same number of peices as the number of jellybean colors. If the final number of jellybean pieces is m, then:\\nOptions:\\n(A) m is a perfect square\\n(B) m is an odd number\\n(C) m is an even number\\n(D) m is a perfect cube.\\n(E) None Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "For example, if there were 4 jellybean colors, the girl would have made a 4x4 arrangement. The boy chopped up each jellybean into 4, the number of pieces would be (4*4)*4 = 64 pieces, which is a cube of 4.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "189. The inside dimensions of a rectangular wooden box\\nare 12 inches by 14 inches by 16 inches. A cylindrical\\ncanister is to be placed inside the box so that it stands\\nupright when the closed box rests on one of its six\\nfaces. Of all such canisters that could be used, what is\\nthe radius, in inches, of the one that has maximum\\nvolume?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 6\\n(E) 7 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Since the radius is squared, the biggest volume cylinder will have the biggest possible radius. To achieve that, let the smaller dimension of the rectangular box be the height. So, it will have 16x14width x length. The biggest cylinder must fit both dimensions, so it must have at most a diameter of 14, so the radius will be 7. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 22 sec\\n(B) 35 sec\\n(C) 25 sec\\n(D) 18 sec\\n(E) 17 sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "D = 200 + 150 = 350\\nS = 36 * 5/18 = 10 mps\\nT = 350/10 = 35 sec The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 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) 50, 60 kmph\\n(D) 45, 55 kmph\\n(E) 45, 65 kmph",
"from": "human"
},
{
"value": "Speed of the boat in still water = (60+80)/2 = 70 kmph. Speed of the stream = (80-60)/2 = 10 kmph\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?\\nOptions:\\n(A) 5 days\\n(B) 9 days\\n(C) 30 days\\n(D) 20 days\\n(E) 10 days Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Work done by P in 1 day = 1/20\\nWork done by Q in 1 day = 1/12\\nWork done by P in 4 days = 4 × (1/20) = 1/5\\nRemaining work = 1 – 1/5 = 4/5\\nWork done by P and Q in 1 day = 1/20 + 1/12 = 8/60 = 2/15\\nNumber of days P and Q take to complete the remaining work = (4/5) / (2/15) = 6\\nTotal days = 4 + 6 = 10\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "For some integer m, m^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 38\\n(B) 41\\n(C) 30\\n(D) 31\\n(E) 29 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Hint: m^2-5 (m is an integer) is never multiple of 3 (try to prove this), hence 30 is out.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. 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, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 360\\n(D) 580\\n(E) 720",
"from": "human"
},
{
"value": "5C3 * 4C2 * 4C2 = 10*6*6 = 360.\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A train running at the speed of 30 km/hr crosses a pole in 6 sec. What is the length of the train?\\nOptions:\\n(A) 20 m\\n(B) 70 m\\n(C) 50 m\\n(D) Cannot be determined\\n(E) None of these Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 30 * 5/18 = 25/3 m/sec\\nLength of the train = speed * time = 25/3 * 6 = 50 m So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 5 businessmen, how many possible team submissions are possible?\\nOptions:\\n(A) 74\\n(B) 100\\n(C) 162\\n(D) 198\\n(E) 202 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "We have 3 scenarios here:\\n1) 1 tech2 businessmen: 4C1 x 5C2 = 40\\n2) 2 tech1 businessman: 4C2 x 5C1 = 30\\n3) 3 tech0 businessmen: 4C3 = 4\\nTotal: 144+54+4 = 74 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\\nOptions:\\n(A) 18\\n(B) 77\\n(C) 66\\n(D) 55\\n(E) 12.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "8/12 + 6/x = 1\\nX = 18 days Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of fifteen results is 593 and that of the first fourteen is 594. The fifteenth result is?\\nOptions:\\n(A) 575\\n(B) 602\\n(C) 579\\n(D) 586\\n(E) 592\nSome stream of consciousness:",
"from": "human"
},
{
"value": "15 * 593 – 14 * 594 = 579 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The entire range of values of x is marked by the dark region on the number line, as shown above. Which of the following expressions describes the range of values of x?\\nOptions:\\n(A) (3+x) (2−x) ≤ 0\\n(B) (3−x) (2+x) ≥ 0\\n(C) (x−3) (x+2) ≤ 0\\n(D) (x+3) (2−x) ≥ 0\\n(E) (3−x) (2−x) ≥ 0 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Given: x≥−3x≥−3 and x≤2 x≤2\\n(x+3)≥0(x+3)≥0 and (x−2)≤0(x−2)≤0\\n(x+3)≥0(x+3)≥0 and (2−x)≥0(2−x)≥0 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: The speed of a boat in still water is 40kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 40, 68 kmph\\n(B) 40, 30 kmph\\n(C) 90, 60 kmph\\n(D) 40, 60 kmph\\n(E) 60, 20 kmph Random thoughts:",
"from": "human"
},
{
"value": "Speed downstream = 40 + 20 = 60 kmph\\nSpeed upstream = 40 - 20 = 20 kmph The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The number N is H,284, where H represents the ten's digit. If N is divisible by 6, what is the value of H?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 3\\n(D) 5\\n(E) 8\nSome stream of consciousness:",
"from": "human"
},
{
"value": "If the number is divisible by 6, then the sum of the digits must also be divisible by both 3 and 2. Only 1 yields such a number. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?\\nOptions:\\n(A) 22 sec\\n(B) 20 sec\\n(C) 15 sec\\n(D) 23 sec\\n(E) 16 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "D = 100 + 245 = 345 m\\nS = 54* 5/18 = 15\\nT = 345 * 1/15 = 23 sec The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?\\nOptions:\\n(A) 4/3 days\\n(B) 2 days\\n(C) 8 days\\n(D) 3 days\\n(E) 9 days Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Work done by A in 3 days = 3/5\\nRemaining work = 2/5\\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\\nRemaining work = 2/5 * 10/3 = 4/3 days.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\\nOptions:\\n(A) 7!*3!\\n(B) 7!*2!\\n(C) 6!*3!\\n(D) 5!*2!\\n(E) 8!*3! Stream of consciousness:",
"from": "human"
},
{
"value": "Total number of ways = 7!*2!.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 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 1/9%\\n(C) 3 9/3%\\n(D) 3 2/3%\\n(E) 3 6/3%",
"from": "human"
},
{
"value": "P = (P*30*R)/100\\nR = 3 1/3% So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "In a school of 700 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\\nOptions:\\n(A) 173\\n(B) 126\\n(C) 153\\n(D) 143\\n(E) 133 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "44 + 28 + 10 = 82%\\n100 – 82 = 18%\\n700 * 18/100 = 126\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for two years?\\nOptions:\\n(A) 29893\\n(B) 27773\\n(C) 29989\\n(D) 28800\\n(E) 23400 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Simple interest = (18000 * 2 * 15)/100 = Rs. 5400\\nAmount = P + I = 18000 + 5400 = Rs. 23400 The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The average of five results is 48 and that of the first four is 45. The fifth result is?\\nOptions:\\n(A) 50\\n(B) 60\\n(C) 70\\n(D) 80\\n(E) 90 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "5 * 48 – 4 * 45 = 60 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?\\nOptions:\\n(A) 228\\n(B) 277\\n(C) 342\\n(D) 291\\n(E) 112\nSome stream of consciousness:",
"from": "human"
},
{
"value": "400*(90/100)*(95/100) = 342 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 20 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 70 miles\\n(C) 90 miles\\n(D) 120 miles\\n(E) 400 miles Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Answer = B. 70 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 3 hours, difference = 30 * 3 = 90 miles\\nFast train trailing 20 miles, so effective difference = 90 - 20 = 70 miles\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "How many five-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?\\nOptions:\\n(A) 33\\n(B) 66\\n(C) 0\\n(D) 99\\n(E) 132 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "A number ending with 3 can never be a perfect square.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 10 men and 15 women together can complete a work in 4 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 100 days\\n(B) 667 days\\n(C) 177 days\\n(D) 187 days\\n(E) 225 days",
"from": "human"
},
{
"value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/4\\n15 women's 1 day work = (1/4 - 10/100) = 3/20\\n1 woman's 1 day work = 1/100\\n1 woman alone can complete the work in 100 days.\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: If a number is chosen at random from the set {1, 2, 3…, 100}, then the probability that the chosen number is a perfect cube is\\nOptions:\\n(A) 1/25\\n(B) 1/2\\n(C) 4/13\\n(D) 1/10\\n(E) 3/10 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "We have 1, 8, 27 and 64 as perfect cubes from 1 to 100. Thus, the probability of picking a perfect cube is 4/100 = 1/25 The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?\\nOptions:\\n(A) 30 kmph\\n(B) 40 kmph\\n(C) 78 kmph\\n(D) 15 kmph\\n(E) 23 kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed downstream = 50 + 20 = 70 kmph\\nSpeed upstream = 50 - 20 = 30 kmph Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: What number comes next in the following series? 4, 14, 44, 134, 404, ____\\nOptions:\\n(A) 1204\\n(B) 1208\\n(C) 1214\\n(D) 1216\\n(E) 1220 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "4\\n4 × 3 + 2 = 14\\n14 × 3 + 2 = 44\\n44 × 3 + 2 = 134\\n134 × 3 + 2 = 404\\n404 × 3 + 2 = 1214 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Grace has 18 jellybeans in her pocket. She has 9 red ones, 5 green ones, and 4 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\nSome stream of consciousness:",
"from": "human"
},
{
"value": "The worst scenario is when she takes 9 red and 5 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. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\\nOptions:\\n(A) 299\\n(B) 2767\\n(C) 120\\n(D) 287\\n(E) 261.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\\nVolume of 1/40 part = 3 gallons\\\\nVolume of whole = 3 * 40 = 120 gallons. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "How many factors does 25^2 have?\\nOptions:\\n(A) 2\\n(B) 8\\n(C) 24\\n(D) 25\\n(E) 26 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "36^2 = 6*6*6*6 = 2^4*3^4\\nTotal factors = (4+1)*(4+1) = 4*2 = 8\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Two persons A and B can complete a piece of work in 18 days and 24 days respectively. If they work together, what part of the work will be completed in 2 days?\\nOptions:\\n(A) 7/36\\n(B) 9/35\\n(C) 4/37\\n(D) 8/35\\n(E) 5/3 Stream of consciousness:",
"from": "human"
},
{
"value": "A's one day's work = 1/18\\nB's one day's work = 1/24\\n(A + B)'s one day's work = 1/18 + 1/24 = 7/72\\nThe part of the work completed in 3 days = 2 (7/72) = 7/36.\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A can do a piece of work in 16 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\\nOptions:\\n(A) 18\\n(B) 77\\n(C) 66\\n(D) 55\\n(E) 12 Random thoughts:",
"from": "human"
},
{
"value": "8/16 + 6/x = 1\\nX = 12 days The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The total price of a kilogram each of Shimla apples and Red Delicious apples is 250 rupees more than the total price of a kilogram each of Red Delicious apples and Fuji apples. Fuji apples is how much cheaper than Shimla apples?\\nOptions:\\n(A) 250\\n(B) 125\\n(C) 500\\n(D) 100\\n(E) 80 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "(Shimla + Red Delicious) - (Red Delicious + Fuji) = 250\\nShimla - Fuji = 250 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A student is ranked 13th from right and 8th from left.how many are there?\\nOptions:\\n(A) 18\\n(B) 19\\n(C) 20\\n(D) 21\\n(E) 22",
"from": "human"
},
{
"value": "13th from right means = x + 12\\n8th from left means = 7 + x\\nTotal = 12+7+1 = 20\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A train 455 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) 17 sec\\n(D) 39 sec\\n(E) 12 sec",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 455 * 2/35 = 39 sec So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 30 miles behind the slower one. How far apart are the two trains at 5 o'clock?\\nOptions:\\n(A) 60 miles\\n(B) 80 miles\\n(C) 90 miles\\n(D) 120 miles\\n(E) 400 miles Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Answer = A. 60 miles\\nRelational speed = 130 - 100 = 30 miles per hour\\nIn 3 hours, difference = 30 * 3 = 90 miles\\nFast train trailing 30 miles, so effective difference = 90 - 30 = 60 miles\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 400 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\\nOptions:\\n(A) 22 kmph\\n(B) 77 kmph\\n(C) 54 kmph\\n(D) 71 kmph\\n(E) 90 kmph Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "S = 400/16 * 18/5 = 90 kmph The final answer: (E).",
"from": "gpt"
}
] |
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