conversations
list |
|---|
[
{
"value": "In a class if 1 is absent the rest of them can be divided into 6 equal groups and if two are absent can be divided into 7 equal groups. Find the minimum number of students in the class\\nOptions:\\n(A) 35\\n(B) 36\\n(C) 37\\n(D) 38\\n(E) 39 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Multiple of 6 and 7 with difference 1 are 36 and 35\\nSo the number of students in the class is 37 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of twelve numbers is 7. The average of first nine numbers is 6 and the average of last two numbers is 10. What is the middle number?\\nOptions:\\n(A) A) 9\\n(B) B) 10\\n(C) C) 12\\n(D) D) 7\\n(E) E) 13 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The total of twelve numbers = 12X7 = 84\\nThe total of first 9 and last 2 numbers is = 9 X 6+2 X 10 = 74\\nSo, the middle number is (84 - 74 ) = 10\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The H.C.F. of two numbers is 12 and their L.C.M. is 600. If one of the numbers is 480, then the other is:\\nOptions:\\n(A) 11\\n(B) 10\\n(C) 8\\n(D) 15\\n(E) 12 Stream of consciousness:",
"from": "human"
},
{
"value": "Other number = (12 x 600)/480 = 15.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?\\nOptions:\\n(A) 1/6\\n(B) 1/7\\n(C) 1/5\\n(D) 1/9\\n(E) 1/2 Random thoughts:",
"from": "human"
},
{
"value": "10 books can be rearranged in 10! ways consider the two books taken as a pair then number of favourable ways of getting these two books together is 9! 2!\\nRequired probability = 1/5 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A and B can together complete a piece of work in 4 days. If A can alone can complete the same work in 12 days, in how many days can B alone complete that work?\\nOptions:\\n(A) 6\\n(B) 5\\n(C) 4\\n(D) 3\\n(E) 2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "(A+B)'s 1 day work = 1/4\\nA's 1 day work = 1/12\\nB's 1 day work = 1/6 So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: A pipe can fill a cistern in 18 minutes whereas the cistern when fill can be emptied by a leak in 20 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17\\n(B) 180\\n(C) 70\\n(D) 120\\n(E) 12.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1/18 - 1/20 = 1/180\\n180 minutes Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes A and B can fill a tank in 36 hours and 45 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?\\nOptions:\\n(A) 20 hrs\\n(B) 22 hrs\\n(C) 23 hrs\\n(D) 24 hrs\\n(E) 21 hrs Stream of consciousness:",
"from": "human"
},
{
"value": "1/( 1/36 +1/45) = 180/9 = 20 hrs\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "the distance between parallel sides of the hexagon is 9. determine the length of the hexagon\\nOptions:\\n(A) 18*sqrt3\\n(B) 18*sqrt2\\n(C) 18*sqrt4\\n(D) 19*sqrt3\\n(E) 17*sqrt3 Stream of consciousness:",
"from": "human"
},
{
"value": "Length of each side of regular hexagon will be 3*sqrt3. total length ( perimeter) of regular hexagon will be 18*sqrt3\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: Twenty percent of Country Y's yearly exports come from fruit exports. One-fourth of all fruit exports from Country Y are orange exports. If country Y generates $40 million from its orange exports, how much money does it generate from its yearly total of exports?\\nOptions:\\n(A) $21.25m\\n(B) $800m\\n(C) $106.25m\\n(D) $127.5m\\n(E) $153m.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "20/100*1/4*(total) = 40\\n1/20*(total) = 40\\n(total) = 40*20 = 800 Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: 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 7 days?\\nOptions:\\n(A) 2/5\\n(B) 7/18\\n(C) 1/4\\n(D) 1/9\\n(E) 2/6 Let's give some random thoughts before answering.",
"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 7 days = 7 (1/18) = 7/18.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Find the mean proportional between 49 & 81?\\nOptions:\\n(A) 59\\n(B) 61\\n(C) 63\\n(D) 65\\n(E) 67",
"from": "human"
},
{
"value": "Formula = √a×b\\nA = 49 and B = 81\\n√49×81 = 7 × 9 = 63\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?\\nOptions:\\n(A) 19\\n(B) 35\\n(C) 20\\n(D) 32\\n(E) 23\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Age of B = Age of (A + B + C) – Age of (A + C) = 27 × 3 – 29 × 2 = 81 – 58 = 23 years The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Three grades of milk are 2 percent, 3 percent and 5 percent fat by volume. If x gallons of the 2 percent grade, y gallons of the 3 percent grade, and z gallons of the 5 percent grade are mixed to give x+y+z gallons of a 4 percent grade, what is x in terms of y and z?\\nOptions:\\n(A) y + 3z\\n(B) (y +z) / 4\\n(C) 2y + 3z\\n(D) z/2\\n(E) 3y + 4.5z.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Based on the given information, the following equation could be dervied: 2% * x + 4% * y + 5% * z = 4% * (x+y+z) Then use algebra to figure out -2%*x = 0%*y - 1%*z. Thus, 2x = z. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A family with 1 mother, 1 father, and 2 children sit in a car with 2 front seats and 2 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other one children on either side of him, how many seating arrangements are possible?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 6\\n(D) 8\\n(E) 10 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Mother has a fixed place and father, so there are 3*2 ways to arrange the children, hence The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?\\nOptions:\\n(A) 145646\\n(B) 236578\\n(C) 645353\\n(D) 456546\\n(E) 220050",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 50 = 220000 + 50 = 220050 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Express 45 mps in kmph?\\nOptions:\\n(A) 170\\n(B) 160\\n(C) 162\\n(D) 130\\n(E) 122 Stream of consciousness:",
"from": "human"
},
{
"value": "45 * 18/5 = 162 kmph\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The inverse ratio of 3: 5: 1 is?\\nOptions:\\n(A) 2:3:7\\n(B) 5:3:15\\n(C) 2:3:2\\n(D) 2:3:6\\n(E) 2:3:1",
"from": "human"
},
{
"value": "1/3: 1/5: 1/1 = 5:3:15 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be\\nOptions:\\n(A) 15%\\n(B) 25%\\n(C) 30%\\n(D) 40%\\n(E) 45% Random thoughts:",
"from": "human"
},
{
"value": "Cost price of article = 48$\\n% of overhead cost = 5\\nNet profit = 12 $\\nWe need to calculate % markup\\nNet profit as % of cost price = (12/48)*100 = 25%\\nTotal markup should be = 25 + 5 = 30% The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A car traveled from San Diego to San Francisco at an average speed of 51 miles per hour. If the journey back took twice as long, what was the average speed of the trip?\\nOptions:\\n(A) 24.\\n(B) 34.\\n(C) 36.\\n(D) 42.\\n(E) 44. OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Let the time taken be = x\\nOne way distance = 51x\\nTotal distance traveled = 2 * 51x = 102x\\nTotal time taken = x + 2x = 3x\\nAverage speed = 102x/3x = 34 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for three years?\\nOptions:\\n(A) 29893\\n(B) 27773\\n(C) 29989\\n(D) 26100\\n(E) 29883 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Simple interest = (18000 * 3 * 15)/100 = Rs. 8100\\nAmount = P + I = 18000 + 8100 = Rs. 26100 The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A 14 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) 12\\n(B) 20\\n(C) 88\\n(D) 77\\n(E) 4 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 14 = 4 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?\\nOptions:\\n(A) 450\\n(B) 600\\n(C) 500\\n(D) 2400\\n(E) 3200 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Answer A) 4800 yards need 1200 lbs\\n1 Yard will need 1200/8400 = 1/7 lbs\\n3600 Yards will need 1/7* 3500 Yards = 500lbs The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire\\nrest of the car, then the share of each of the remaining persons increased by ?\\nOptions:\\n(A) 1/9\\n(B) 1/8\\n(C) 1/7\\n(D) 7/8\\n(E) 8/7 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "When there are eight people, the share of each person is 1/8th the total cost The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph. What is then time taken to row a distance of 90 km down the stream ?\\nOptions:\\n(A) 8hrs\\n(B) 5 hrs\\n(C) 15 hrs\\n(D) 15 hrs\\n(E) 20 hrs OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Speed in down stream = 10 +8 = 18\\nTime taken to cover 90 km down stream = 90/18 = 5 hrs. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following 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 $5 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) $127.5m\\n(E) $150m",
"from": "human"
},
{
"value": "2/10*1/6*(total) = 5\\n1/30*(total) = 5\\n(total) = 5*30 = 150\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Wednesday occurred on 15th September 2010. What was the day of the week on 15th September 2009?\\nOptions:\\n(A) Monday\\n(B) Friday\\n(C) Wednesday\\n(D) Tuesday\\n(E) Sunday.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1 odd day in the year 2009\\nSo, the day on 15th September 2010 will be one day beyond the day on 15th September 2009\\nBut, 15th September 2010 is Wednesday\\nOn 15th September 2009, it was Tuesday Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "The number N is 5,2H4, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 5\\n(D) 4\\n(E) 9 Stream of consciousness:",
"from": "human"
},
{
"value": "Integer is divisible by 3 - Sum of digits is divisible by 3\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "An analyst will recommend a combination of 4 industrial stocks, 3 transportation stocks, and 4 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 5 utility stocks, how many different combinations of 11 stocks are possible?\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 100\\n(E) 720 Stream of consciousness:",
"from": "human"
},
{
"value": "5C4 * 4C3 * 5C4 = 5*4*5 = 100.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Find the product of the localvalue and absolutevalue of 3 in 20368?\\nOptions:\\n(A) 1000\\n(B) 1100\\n(C) 1200\\n(D) 900\\n(E) 10000 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Local value of 3 = 3 x 100 = 300\\nPlace value of 3 = 3\\nThere fore = 3 x 300 = 900 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 39 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\\nOptions:\\n(A) 39\\n(B) 40\\n(C) 55\\n(D) 58\\n(E) 63 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "{Total} = {M} + {N} - {Both}\\n{Total} = 39 + 28 - 12 = 55. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A 49 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) 12\\n(B) 20\\n(C) 88\\n(D) 77\\n(E) 14 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 49 = 14 So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: Find the odd man out\\n4, 10, 22, 40, 84, 94\\nOptions:\\n(A) 22\\n(B) 40\\n(C) 94\\n(D) 84\\n(E) 10 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Differnce is multiple of 6\\n4 and 10 diff is 6\\n10 and 22 diff is 12\\n22 and 40 diff is 18\\n40+24 = 64 but in series it is mentioned as 84\\n64+30 = 94\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to?\\nOptions:\\n(A) 9!*2!\\n(B) 7!*2!\\n(C) 6!*1!\\n(D) 2!*1!\\n(E) 5!*1! Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Total number of ways = 9!*2!. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Sam's grade was 60th percentile of the 100 grades for his class. Of the 120 grades from another class, 48 were higher than Sam's, and the rest were lower. If no other grade was the same as Sam's grade, then Sam's grade was what percentile of the grades of the two classes of two classes combined?\\nOptions:\\n(A) 51st\\n(B) 60th\\n(C) 67th\\n(D) 72nd\\n(E) 92nd",
"from": "human"
},
{
"value": "51st/60th/67th/72nd/92nd So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 18 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 360/13 days\\n(B) 350/13 days\\n(C) 160/13 days\\n(D) 260/13 days\\n(E) 960/13 days Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "One day work of A and B = 1/18\\nOne day work of B and C = 1/30\\nOne day work of C and A = 1/36\\n2(A + B + C) = 1/18 + 1/30 + 1/36\\n2(A + B + C) = 21/180\\n(A + B + C) = 13/360\\nNumber of days required = 360/13 days. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "What is the greatest positive integer x such that 7^x is a factor of 343^10?\\nOptions:\\n(A) 5\\n(B) 9\\n(C) 10\\n(D) 20\\n(E) 30 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "343^10 = (7^3)^10 = 7^30 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "The average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. Find the average age of the women?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 50\\n(D) 40\\n(E) 30 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "20 + 24 + 8 * 2 = 60/2 = 30 So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. If 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in\\nOptions:\\n(A) 1 day\\n(B) 2 days\\n(C) 3 days\\n(D) 4 days\\n(E) 5 days",
"from": "human"
},
{
"value": "The length of cloth painted by one man in one day = 48 / 4 × 2 = 6 m\\nNo. of days required to paint 36 m cloth by 6 men = 72/ 6 × 6 = 2 day.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 5 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?\\nOptions:\\n(A) 30\\n(B) 20\\n(C) 18\\n(D) 12\\n(E) 6",
"from": "human"
},
{
"value": "21-12 < no of hrs < 21-5\\n9< no of hrs < 16. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. X can finish a work in 15 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\\nOptions:\\n(A) 5\\n(B) 3\\n(C) 4\\n(D) 7\\n(E) 8",
"from": "human"
},
{
"value": "Work done by X in 1 day = 1/15\\nWork done by Y in 1 day = 1/20\\nWork done by Y in 12 days = 12/20 = 3/5\\nRemaining work = 1 – 3/5 = 2/5\\nNumber of days in which X can finish the remaining work = (1/3) / (1/15) = 5\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: How many digits are in the number 50^8 × 8^3 × 11^3?\\nOptions:\\n(A) 22\\n(B) 20\\n(C) 19\\n(D) 18\\n(E) 17\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10\\n50^8 × 8^3 × 11^3 = (5^2*2)^8*2^9*11^3 = 5^16*2^17*11^3 = 2*11^3*10^16 = 2662*10^16\\nHence we would have 16 trailing 0's and the three digits from 2662\\nTotal digits = 4 + 16 = 20 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the average of the first 9 natural numbers?\\nOptions:\\n(A) 8\\n(B) 5\\n(C) 10\\n(D) 11\\n(E) 12 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (9 + 1)/2 = 5 The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 53% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?\\nOptions:\\n(A) 60%\\n(B) 50%\\n(C) 25%\\n(D) 18%\\n(E) 10%.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 53 - {both} + 40\\n{both} = 18%. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 40\\n(D) 60\\n(E) 120",
"from": "human"
},
{
"value": "Each person is one participant of 4 games. So there are in all 16*5 = 80 instances of one participant games. But each game has 2 participants so total number of games = 80/2 = 40\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "By travelling at 40 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?\\nOptions:\\n(A) 20\\n(B) 99\\n(C) 88\\n(D) 77\\n(E) 61 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Let the time taken to reach the destination be 3x hours. Total distance = 40 * 3x = 120x km\\nHe covered 2/3 * 120x = 80x km in 1/3 * 3x = x hours So, the remaining 40x km, he has to cover in 2x hours. Required speed = 40x/2x = 20 kmph. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.3 km long?\\nOptions:\\n(A) 2 mins 14 sec\\n(B) 2 mins 34 sec\\n(C) 168 sec\\n(D) 344 sec\\n(E) 2 mins 44 sec",
"from": "human"
},
{
"value": "D = 25 * 60 + 1300 = 2800 m\\nT = 2800/60 * 18/5 = 168 se So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the smallest number which should be multiplied with 36963 to make it a perfect square.\\nOptions:\\n(A) 4\\n(B) 7\\n(C) 4\\n(D) 3\\n(E) 6 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "36963 = 111*111*3\\nRequired smallest number = 3\\n3 is the smallest number which should be multiplied with 36963 to make it a perfect square.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: The speed of a car is 80 km in the first hour and 60 km in the second hour. What is the average speed of the car?\\nOptions:\\n(A) 70 kmph\\n(B) 92 kmph\\n(C) 75 kmph\\n(D) 65 kmph\\n(E) 77 kmph Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "S = (80 + 60)/2 = 70 kmph\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. 5, 10, 13, 26, 29, 58, 61, (....)\\nOptions:\\n(A) 128\\n(B) 64\\n(C) 122\\n(D) 125\\n(E) 130",
"from": "human"
},
{
"value": "Numbers are alternatively multiplied by 2 and increased by 3\\n5 × 2 = 10\\n10 + 3 = 13\\n13 × 2 = 26\\n26 + 3 = 29\\n29 × 2 = 58\\n58 + 3 = 61\\n61 × 2 = 122 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 290 m long?\\nOptions:\\n(A) 40 sec\\n(B) 52 sec\\n(C) 45 sec\\n(D) 48 sec\\n(E) 50 sec Stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 45 * 5/18 = 25/2 m/sec\\nTotal distance covered = 360 + 290 = 650 m\\nRequired time = 650 * 2/25 = 52 sec\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four 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/8\\n(D) q/6\\n(E) q/7 Stream of consciousness:",
"from": "human"
},
{
"value": "Profit = q\\nProfit to company founder = q/3\\nProfit to other partners = 2q/3\\nNumber of other partners = 4\\nProfit to each partner = (2q/3)/4 = q/6\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "For some integer n, n^2 - 5 is divisible by all of the following EXCEPT\\nOptions:\\n(A) 41\\n(B) 38\\n(C) 29\\n(D) 30\\n(E) 31 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Hint: n^2-5 (n is an integer) is never multiple of 3 (try to prove this), hence 30 is out. So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 54 sec\\n(B) 28 sec\\n(C) 25 sec\\n(D) 45 sec\\n(E) 24 sec Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "D = 100 + 180 = 280\\nS = 36 * 5/18 = 10 mps\\nT = 280/10 = 28 sec\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "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? Look at this series: 5, 43, 15, 33, 25, ...What number should come next?\\nOptions:\\n(A) 10\\n(B) 40\\n(C) 23\\n(D) 13\\n(E) 20 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "C\\n23\\nThis is an alternating addition and subtraction series. In the first pattern, 10 is added to each number to arrive at the next. In the second, 10 is subtracted from each number to arrive at the next.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The measure of the side of a square is multiplied by 5. If x represents the perimeter of the original square, what is the value of the new perimeter?\\nOptions:\\n(A) 3x\\n(B) 4x\\n(C) 5x\\n(D) 12x\\n(E) 27x",
"from": "human"
},
{
"value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 5x/4\\nNew perimeter = 4*5x/4 = 5x\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?\\nOptions:\\n(A) 2.25.\\n(B) 3.00.\\n(C) 4.5.\\n(D) 5.225.\\n(E) 6.25. Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Number of hours in 28 days = 28*24\\nNumber of 30 mins in 28 days = 28*24*2\\nNumber of computers built every 30 mins = 4032/( 28*24*2) = 3\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "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 4 days?\\nOptions:\\n(A) 2/5\\n(B) 1/6\\n(C) 1/4\\n(D) 1/9\\n(E) 2/9 OK. Let's think. Some random thoughts first:",
"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 4 days = 4 (1/18) = 2/9. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?\\nOptions:\\n(A) 100\\n(B) 1000\\n(C) 500\\n(D) 2000\\n(E) None Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The speed of a train is 90 kmph. What is the distance covered by it in 30 minutes?\\nOptions:\\n(A) 15\\n(B) 66\\n(C) 77\\n(D) 52\\n(E) 45",
"from": "human"
},
{
"value": "90 * 30/60 = 45 kmph\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "At a meeting of the 6 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 6 Chiefs of Staff be seated around a circular table?\\nOptions:\\n(A) 120\\n(B) 480\\n(C) 4040\\n(D) 2520\\n(E) 5040 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Bunuel, I'm also a little confused with the number of arrangements of n distinct objects in a circle. Why is it given by (n-1)!. In theveritasanswer they say:answer E (4040), should be the number of ways to arrange all 6 without the seating restriction given. Is this incorrect? So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The measure of the side of a square is multiplied by 6. If x represents the perimeter of the original square, what is the value of the new perimeter?\\nOptions:\\n(A) 3x\\n(B) 4x\\n(C) 6x\\n(D) 12x\\n(E) 27x Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Original perimeter = x\\nHence original side = x/4\\nNew side = 6x/4\\nNew perimeter = 4*6x/4 = 6x\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: If a man can cover 30 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 118 km\\n(B) 162 km\\n(C) 1767 km\\n(D) 1887 km\\n(E) 405 km.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "30 m/s = 30 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 30 * 18/5 * 15/4 km = 405 km. Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In how many different ways can the letters of the word ‘PREPTY’ be arranged?\\nOptions:\\n(A) 160\\n(B) 190\\n(C) 210\\n(D) 368\\n(E) 360",
"from": "human"
},
{
"value": "Number of ways = 61/21 6X5X4X3X2X1 - 360 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "What is the difference between 62% of 150 nd 20% of 250.\\nOptions:\\n(A) 16\\n(B) 17\\n(C) 43\\n(D) 19\\n(E) 20 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(62/100) * 150 – (20/100) * 250\\n93 - 50 = 43\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: What is the maximum number of pieces of birthday cake of size 4” by 4” that can be cut from a cake 16” by 16”?\\nOptions:\\n(A) 5\\n(B) 4\\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 4x 4 squares that can be cut from a larger 16 by 16 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 4 'pieces' each, we have (4)(4) = 16 total smaller squares (at maximum). The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 16 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 10 min.\\n(B) 41 min.\\n(C) 27 min.\\n(D) 23 min.\\n(E) 25 min.",
"from": "human"
},
{
"value": "The ratio is 2:3 = gym:ride, so (16)(3/2) = 24 minutes at the gym, and 24 + 16 = 40 minutes exercise, so (2/3)(40) = 27 minutes yoga. So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: 60 is increased by 50%. Find the final number.\\nOptions:\\n(A) 100\\n(B) 110\\n(C) 90\\n(D) 30\\n(E) 160.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30 = 90. Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Ravi can do a piece of work in 25 days while Prakash can do it in 35 days. In how many days will they finish it together?\\nOptions:\\n(A) 15 7/9 days\\n(B) 16 17/9 days\\n(C) 15 1/19 days\\n(D) 14 7/12 days\\n(E) 14 7/9 days",
"from": "human"
},
{
"value": "1/25 + 1/35 = 12/175\\n175/12 = 14 7/12 days\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: A corporation triples its annual bonus to 50 of its employees. What percent W of the employees’ new bonus is the increase?\\nOptions:\\n(A) 50%\\n(B) 662⁄3%\\n(C) 100%\\n(D) 200%\\n(E) 300%.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "W of the employees’ new bonus is the increase Hence Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 40 minutes. When both pipes are opened, find when the cistern will be full?\\nOptions:\\n(A) 17 minutes\\n(B) 87 minutes\\n(C) 40 minutes\\n(D) 27 minutes\\n(E) 11 minutes Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "1/20 - 1/40 = 1/40\\n40 minutes\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of 9 results is 50. The average of first four results is 52 and average of last four results is 49 . what is the fifth result?\\nOptions:\\n(A) 22\\n(B) 27\\n(C) 29\\n(D) 46\\n(E) 92 Stream of consciousness:",
"from": "human"
},
{
"value": "Total of results = 50 x 9 = 450\\nTotal of first four results = 52 x 4 = 208\\nTotal of Last four results = 49 x 4 = 196\\nHence the fifth result = 450 - (208 + 196) = 46\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?\\nOptions:\\n(A) 25200\\n(B) 2543\\n(C) 2344\\n(D) 233445\\n(E) 52757 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3 x 4C2) = ( 7 x 6 x 5 x 4 x 3 ) 3 x 2 x 1 2 x 1 = 210. Number of groups, each having 3 consonants and 2 vowels = 210. Each group contains 5 letters. Number of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120. Required number of ways = (210 x 120) = 25200.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?\\nOptions:\\n(A) 53.33 mph\\n(B) 56.67 mph\\n(C) 52 mph\\n(D) 64 mph\\n(E) 66.67 mph Random thoughts:",
"from": "human"
},
{
"value": "Average Speed = Total distance/ Total time = (40 * 2 + 60 * 3)/(2 + 3) = 260/5 = 52 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "SHOW TIMER STATISTICS\\nTo apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?\\nOptions:\\n(A) 5\\n(B) 10\\n(C) 12\\n(D) 15\\n(E) 50 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Veronica can choose 3 photos in 5C3 = 10 ways\\nShe can choose 4 photos in 5C4 = 5 ways\\nTotal number of ways = 10 + 5 = 15\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "What is the least number should be added to 1056, so the sum of the number is completely divisible by 27?\\nOptions:\\n(A) 21\\n(B) 22\\n(C) 23\\n(D) 24\\n(E) 25 Stream of consciousness:",
"from": "human"
},
{
"value": "(1056 / 27) gives remainder 3\\n24 + 3 = 27, So we need to add 24\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering 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) 9268\\n(B) 9261\\n(C) 9262\\n(D) 9242\\n(E) 9266",
"from": "human"
},
{
"value": "A = 8000(21/20)3 = 9261\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Rajani has to read a book of 445 pages. She has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book?\\nOptions:\\n(A) 25 days\\n(B) 20 days\\n(C) 46 days\\n(D) 21 days\\n(E) None of these Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Remaining pages to read = 445 – 157 = 288\\n∴ Reqd. number of days = 288⁄24 = 12\nSo, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "In case T, S and X are the only individuals sewing on committee B, the members of committee C should be:\\nOptions:\\n(A) Z and Y\\n(B) Z and W\\n(C) Y and V\\n(D) Y and U\\n(E) Y and W Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Y and U Because in committee b the individuals are S and X so in committee c the individuals will be Y and U\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 7 industrial stocks, 4 transportation stocks, and 3 utility stocks, how many different combinations of 7 stocks are possible?\\n--\\nOptions:\\n(A) 12\\n(B) 19\\n(C) 60\\n(D) 180\\n(E) 630",
"from": "human"
},
{
"value": "7C3 * 4C2 * 3C2 = 35*6*3 = 630. So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 140 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 18 sec\\n(B) 6 sec\\n(C) 8 sec\\n(D) 15 sec\\n(E) 7 sec Random thoughts:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 140 * 2/35 = 8 se The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?\\nOptions:\\n(A) 64 years\\n(B) 48 years\\n(C) 45 years\\n(D) 40 years\\n(E) None of these Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Present age of P, Q, R, S = 45 x 4 + 20 = 200\\nPresent age of P, Q, R, S and T = 49 x 5 = 245\\nHence, the age of T = 245 - 200 = 45 years. So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 5 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?\\nOptions:\\n(A) 60 gallons\\n(B) 200 gallons\\n(C) 120 gallons\\n(D) 180 gallons\\n(E) 130 gallons Stream of consciousness:",
"from": "human"
},
{
"value": "Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40\\nVolume of 1/40 part = 5 gallons\\\\nVolume of whole = 5 * 40 = 200 gallons.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A can do a job in 18 days and B can do it in 24 days. A and B working together will finish twice the amount of work in days?\\nOptions:\\n(A) 22 1/6\\n(B) 22 1/2\\n(C) 20 4/7\\n(D) 22 1/9\\n(E) 22 1/1.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "1/18 + 1/24 = 7/72\\n72/7 = 72/7 *2 = 20 4/7 days Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 3 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other two children on either side of him, how many seating arrangements are possible?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 6\\n(D) 8\\n(E) 24.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Mother has a fixed place and father, so there are 4! ways to arrange the children, hence Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but the barber doesn't have change because it is an especially slow day. The barber goes to the flower shop next to his own and trades the $20 bill for a $10 dollar bill and two $5 bills. Then he gives the man his $5 in change.\\nLater the lady from the flower shop confronts the barber and tells him that the $20 bill he gave her was counterfeit. The barber agrees and he gives the lady a different $20 bill.\\nLater that day he tries to figure out how much money he lost. What did he lose?\\nOptions:\\n(A) $5\\n(B) $10\\n(C) $12\\n(D) $15\\n(E) $20 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "He lost $5. The lady from the flower shop gave him $20 in change, but eventually got $20 back. She broke even. The man who got the haircut gave the barber nothing (except counterfeit money) but got $5 back from the barber. So the barber lost only $5, and gave a free haircut. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A car finishes a journey in ten hours at the speed of 65 km/hr. If the same distance is to be covered in five hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 10 km/hr\\n(C) 65 km/hr\\n(D) 16 km/hr\\n(E) None of these Stream of consciousness:",
"from": "human"
},
{
"value": "Distance covered by the car = 65 × 10 = 650 km\\n\\ Speed = 650⁄5 = 130 km/hr\\n\\ Speed gain = 130 – 65 = 65 km/hr\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "80 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?\\nOptions:\\n(A) 75\\n(B) 80\\n(C) 85\\n(D) 90\\n(E) 60 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Answer = E\\nPlease refer diagram below\\n70 - 10 = 60\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "1,2,4,7,_,16\\nOptions:\\n(A) 11\\n(B) 9\\n(C) 10\\n(D) 12\\n(E) 13 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Each new number is the same as the last number with the adder growing by 1. This would yield 11.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "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 3 hours to complete the journey. If the distance between City A and City B is 600 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) 2/1\\n(B) 3/8\\n(C) 8/5\\n(D) 5/8\\n(E) 5/3 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Distance traveled by Eddy = 600 km\\nTime taken by Eddy = 3 hours\\nAverage speed of Eddy = 600/3 = 200 km/hour\\nDistance traveled by Freddy = 300 km\\nTime taken by Freddy = 3 hours\\nAverage speed of Freddy = 300/3 = 100 km/hour\\nRatio of average speed of Eddy to Freddy = 200/100 = 2/1\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Solve below question 3x - 5 = -20\\nOptions:\\n(A) -8\\n(B) -9\\n(C) -5\\n(D) -4\\n(E) 1 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1. Subtract 1 from both sides: 3x - 5 + 5 = -20 + 5 2. Simplify both sides: 3x = -15 3. Divide both sides by 3: 4. Simplify both sides: x = -5 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. On average, the bottle-nosed dolphin comes up for air once every three minutes; the beluga whale, a close relative, comes up for air on average once every nine minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a beluga whale would come up for air in that same period?\\nOptions:\\n(A) 150%\\n(B) 200%\\n(C) 250%\\n(D) 300%\\n(E) 350%",
"from": "human"
},
{
"value": "Dolphin once in 3 min;\\nBeluga once in 9 min;\\nSo, dolphin comes up 3 times frequently than beluga, which is 300% (9-3)/2*100. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 120 km downstream and 60 km upstream, taking 2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6\\n(B) 15\\n(C) 17\\n(D) 18\\n(E) 2 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 120/(2 ) = 60 kmph\\nSpeed upstream = d/t = 60/(2) = 30 kmph\\nThe speed of the stream = (60 - 30)/2 = 15 kmph\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "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 $3 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) $90m\\n(D) $127.5m\\n(E) $153m Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "2/10*1/6*(total) = 3\\n1/30*(total) = 3\\n(total) = 3*30 = 90\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A farmer has a rose garden. Every day he either plucks 7 or 6 or 24 or 23 roses. The rose plants are intelligent and when the farmer plucks these numbers of roses, the next day 37 or 36 or 9 or 18 new roses bloom in the garden respectively. On Monday, he counts 189 roses in the garden. He plucks the roses as per his plan on consecutive days and the new roses bloom as per intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 6\\n(D) 4\\n(E) 1 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "If he plucks 23, then only 18 grows the next day. This means total roses get decreases by 5. So after n days assume the number of roses got decreased 185 where n = 37, then 4 roses left.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In case M is the only individual sewing on committee B, which among the following shouldserve on committee A?\\nOptions:\\n(A) V and U\\n(B) V and T\\n(C) U and S\\n(D) N and O\\n(E) T and U Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "N and O should serve on A So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Rs.500 amounts to Rs.670 in 5 years at simple interest. If the interest is increased by 2%, it would amount to how much?\\nOptions:\\n(A) 150\\n(B) 550\\n(C) 760\\n(D) 450\\n(E) 260 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(500*5*2)/100 = 50\\n500+ 50 = 550\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is not divisible by 6?\\nOptions:\\n(A) 10032\\n(B) 21192\\n(C) 47816\\n(D) 91232\\n(E) 72031 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Divisibility rule of 6: Number must be divisible by both 2 and 3\\nOption A: 10032, Divisible by 2. Hence divisible by 6\\nOption B: 21192, Divisible by 2 & 3. Hence divisible by 6\\nOption C: 47816, Divisible by 2. Hence divisible by 6\\nOption D: 91232, Divisible by 2. Hence divisible by 6\\nOption E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Two trains are moving at 40 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?\\nOptions:\\n(A) 41/2 sec\\n(B) 5/2 sec\\n(C) 61/2 sec\\n(D) 71/6 sec\\n(E) 49/6 sec Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "70 + 40 = 110 * 5/18 = 275/9mps\\nD = 150 + 100 = 250 m\\nT = 250 * 9/275 = 49/6 sec\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?\\nOptions:\\n(A) 17 1/4 min\\n(B) 28 1/7 min\\n(C) 17 1/7 min\\n(D) 17 1/8 min\\n(E) 17 5/7 min Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1/20 + 1/30 - 1/40 = 7/120\\n120/7 = 17 1/7 So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: 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) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Speed downstream = 40 + 20 = 60 kmph\\nSpeed upstream = 40 - 20 = 20 kmph Final answer: (B).",
"from": "gpt"
}
] |
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