conversations
list |
|---|
[
{
"value": "How many cubes will have 4 coloured sides and two non-coloured sides ?\\nOptions:\\n(A) 5\\n(B) 4\\n(C) 3\\n(D) 2\\n(E) 1 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. John has 10pairs of dark blue socks and 10pairs of black socks. He keeps them all in the same bag. If he picks out 3socks at random, then what is the probability thathe will get a matching pair?\\nOptions:\\n(A) 1\\n(B) 3\\n(C) 5\\n(D) 6\\n(E) 9",
"from": "human"
},
{
"value": "If he draws any combination of 3 socks he will definitely have the matching pair of either colour. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Efrida and Frazer who live 12 miles apart, meet at a restaurant that is directly north of Efrida's home and directly east of Frazer's home. If the restaurant is two miles closer to Efrida's home, than to Frazer's home, how many miles is the restaurant from Frazer's home?\\nOptions:\\n(A) 6\\n(B) 7\\n(C) 8\\n(D) 10\\n(E) 11 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "It's a simple geometry problem. Look at the diagram below:\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The length of a rectangle is increased by 20% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 1288\\n(B) 9600\\n(C) 1000\\n(D) 10000\\n(E) 2887",
"from": "human"
},
{
"value": "100 * 100 = 10000\\n120 * 80 = 9600 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Which is odd one\\n10, 25, 45, 54, 60, 75, 80\\nOptions:\\n(A) 10\\n(B) 45\\n(C) 54\\n(D) 60\\n(E) 75 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "All numbers except 54 is multiple of 5. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the are of an equilateral triangle of side 24 cm?\\nOptions:\\n(A) 66√3 cm2\\n(B) 74√3 cm2\\n(C) 64√3 cm2\\n(D) 64√5 cm2\\n(E) 144√3 cm2\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 24, Area of triangle = √3/4 * 24 * 24 = 144√3 cm2; The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "If P(32, 6) = kC (32, 6), then what is the value of k?\\nOptions:\\n(A) 6\\n(B) 32\\n(C) 120\\n(D) 720\\n(E) None OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Since 32P6 = k32C6\\n⇒ 32/ ( 32-6 ) = k(32/ ( 32-6 )\\n⇒k = 6! = 720 The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\\nOptions:\\n(A) 124432\\n(B) 145366\\n(C) 157768\\n(D) 178432\\n(E) 220030 Stream of consciousness:",
"from": "human"
},
{
"value": "(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following expressions are different in value?\\n(A) (2x + 3y)2\\n(B) (2x + y)2 + 8y(x + y)\\n(C) (2x – y)2 – 8y(x + y)\\n(D) 22(x + y)2 + 4xy + 5y2\\nOptions:\\n(A) A and B\\n(B) B and C only\\n(C) A, B and D only\\n(D) B and D only\\n(E) All are different Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "All others are equal except (C).\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 650 m long is running at a speed of 117 km/hr. In what time will it pass a bridge 325 m long?\\nOptions:\\n(A) 30\\n(B) 35\\n(C) 40\\n(D) 45\\n(E) 50 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Speed = 117 * 5/18 = 65/2 m/sec\\nTotal distance covered = 650 + 325 = 975 m\\nRequired time = 975 * 2/65 = 30 sec The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. 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) 22\\n(B) 12\\n(C) 88\\n(D) 99\\n(E) 27",
"from": "human"
},
{
"value": "1/8 + 1/24 = 1/6\\n6 * 2 = 12\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Last year, Company M made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Three other partners. In terms of q, how much did each of the other partners receive?\\nOptions:\\n(A) q/4\\n(B) q/5\\n(C) q/6\\n(D) q/7\\n(E) q/8",
"from": "human"
},
{
"value": "Profit = q\\nProfit to company founder = q/2\\nProfit to other partners = q/2\\nNumber of other partners = 3\\nProfit to each partner = (q/2)/3 = q/6 So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: There are 23 distinct numbers in set M, there are 28 distinct numbers in set N, and there are 12 distinct numbers that are in both sets M and N. Set H is the set containing the elements that are in at least one of sets M and N. How many elements are in set H?\\nOptions:\\n(A) 39\\n(B) 40\\n(C) 51\\n(D) 58\\n(E) 63 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "{Total} = {M} + {N} - {Both}\\n{Total} = 23 + 28 - 12 = 39.\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\\nOptions:\\n(A) 45 Years\\n(B) 46 Years\\n(C) 49 Years\\n(D) 52 Years\\n(E) 54 Years.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Total age of students is 32X16 = 512 Years\\nTotal age inclusive of teacher = 33X (16+1) = 561\\nSo, Teacher's age is 561-512 = 49 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 16+(33X1) = 49 Years Final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A football field is 9600 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 5600 square yards?\\nOptions:\\n(A) 450\\n(B) 600\\n(C) 700\\n(D) 2400\\n(E) 3200",
"from": "human"
},
{
"value": "Answer C) 9600 yards need 1200 lbs\\n1 Yard will need 1200/9600 = 1/8 lbs\\n3600 Yards will need 1/8* 5600 Yards = 700lbs\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "A train 250 m long running at 72 kmph crosses a platform in 50 sec. What is the length of the platform?\\nOptions:\\n(A) 150m\\n(B) 200m\\n(C) 250m\\n(D) 750m\\n(E) 300 m Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "D = 72 * 5/18 = 50 = 1000 – 250 = 750m So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following numbers is divisible by 8?\\nOptions:\\n(A) 10021\\n(B) 17511\\n(C) 26778\\n(D) 18520\\n(E) 26711 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "18520. This is the only option with last two digits divisible by 8 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Find the largest 4 digit number which isexactly divisible by 88?\\nOptions:\\n(A) 7890\\n(B) 8900\\n(C) 9944\\n(D) 9976\\n(E) 10000 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "Largest 4 digit number is 9999\\nAfter doing 9999 ÷ 88 we get remainder 55\\nHence largest 4 digit number exactly divisible by 88 = 9999 - 55 = 9944\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of 11 results is 49, 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) 67\\n(C) 18\\n(D) 25\\n(E) 23 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 49 = 539\\n1 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 539 = 67 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If the length of an edge of cube P is twice the length of an edge of cube Q, what is the ratio of the volume of cube Q to the volume of cube P?\\nOptions:\\n(A) 1/8\\n(B) 1/4\\n(C) 1/3\\n(D) 1/7\\n(E) 1/9",
"from": "human"
},
{
"value": "The length of cube Q = 1;\\nThe length of cube P = 2;\\nThe ratio of the volume of cube Q to the volume of cube P = 1^3/2^3 = 1/8. So the final answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?\\nOptions:\\n(A) 6/19\\n(B) 6/11\\n(C) 6/12\\n(D) 6/10\\n(E) 6/38\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Part filled by (A + B + C) in 3 minutes = 3(1/30 + 1/20 + 1/10) = 11/20\\nPart filled by C in 3 minutes = 3/10\\nRequired ratio = 3/10 * 20/11 = 6/11 The answer: (B).",
"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 80 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) 80 miles\\n(C) 90 miles\\n(D) 130 miles\\n(E) 400 miles Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Answer = D. 130 miles\\nRelational speed = 130 - 80 = 50 miles per hour\\nIn 3 hours, difference = 50 * 3 = 150 miles\\nFast train trailing 20 miles, so effective difference = 150 - 20 = 130 miles\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Anmol can eat 27 pastries in a hour.\\nAakriti can eat 2 pastries in 10 minutes.\\nDivya can eat 7 pastries in 20 minutes.\\nHow long will it take them to eat a 180 pastries ?\\nOptions:\\n(A) 2 hours.\\n(B) 1 hours.\\n(C) 5 hours.\\n(D) 4 hours.\\n(E) 3 hours.\nSome stream of consciousness:",
"from": "human"
},
{
"value": "In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 180 pastries would take 180 ÷ 60 = 3 hours. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball.\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 9\\n(D) 10\\n(E) 11 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weighings required turns out to be the smallest integer greater than or equal to log(n), where n is the total number of balls and the base of logarithm is 3. Or simply [log(n)/log(3)] with any base. Here, n = 6561. log 6561 / log 3 = 8\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the area of a square with perimeter 12P ?\\nOptions:\\n(A) 16p^2\\n(B) 4P\\n(C) 9P^2\\n(D) P/16\\n(E) P^2/16\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Each side is 3p\\nA = (3p)^2 = 9p^2 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number?\\nOptions:\\n(A) 7\\n(B) 8\\n(C) 5\\n(D) 10\\n(E) 6 Stream of consciousness:",
"from": "human"
},
{
"value": "The total of five numbers = 5x9 = 45\\nThe total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38\\nSo, the middle number is (45 - 38 ) = 7\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "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 days\\n(B) 11 days\\n(C) 77 days\\n(D) 188 days\\n(E) 66 days Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "8/12 + 6/x = 1\\nX = 18 days So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Express 50 mps in kmph?\\nOptions:\\n(A) 172\\n(B) 160\\n(C) 150\\n(D) 180\\n(E) 120 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "25 * 18/5 = 180 kmph\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 5 kmph\\n(B) 7 kmph\\n(C) 9 kmph\\n(D) 8 kmph\\n(E) 1 kmph Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 85/(2 1/2) = 34 kmph\\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\\nThe speed of the stream = (34 - 18)/2 = 8 kmph\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train 250 m long is running at a speed of 27 km/hr. In what time will it pass a bridge 200 m long?\\nOptions:\\n(A) 40\\n(B) 45\\n(C) 50\\n(D) 55\\n(E) 60\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 27 * 5/18 = 15/2 m/sec\\nTotal distance covered = 250 + 200 = 450 m\\nRequired time = 450 * 2/15 = 60 sec The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 22 sec\\n(B) 16 second\\n(C) 77 sec\\n(D) 55 sec\\n(E) 17 sec Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 280 * 2/35 = 16 sec\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car?\\nOptions:\\n(A) 22\\n(B) 75\\n(C) 44\\n(D) 28\\n(E) 12 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "S = (90 + 60)/2 = 75 kmph\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "What is the are of an equilateral triangle of side 14 cm?\\nOptions:\\n(A) 66√3 cm2\\n(B) 74√3 cm2\\n(C) 64√3 cm2\\n(D) 49√3 cm2\\n(E) 14√3 cm2 Stream of consciousness:",
"from": "human"
},
{
"value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 14, Area of triangle = √3/4 * 14 * 14 = 49√3 cm2;\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: If six persons sit in a row, then the probability that three particular persons are always together is?\\nOptions:\\n(A) 1/5\\n(B) 1/4\\n(C) 1/9\\n(D) 1/6\\n(E) 1/1 Random thoughts:",
"from": "human"
},
{
"value": "Six persons can be arranged in a row in 6! ways. Treat the three persons to sit together as one unit then there four persons and they can be arranged in 4! ways. Again three persons can be arranged among them selves in 3! ways. Favourable outcomes = 3!4! Required probability = 3!4!/6! = 1/5 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "How many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?\\nOptions:\\n(A) 54 sec\\n(B) 35 sec\\n(C) 25 sec\\n(D) 45 sec\\n(E) 24 sec Stream of consciousness:",
"from": "human"
},
{
"value": "D = 100 + 250 = 350\\nS = 36 * 5/18 = 10 mps\\nT = 350/10 = 35 sec\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 5 sweets – Jumun, Kulfi, Peda, Laddu and Jilabi that I wish to eat on 5 consecutive days – Monday through Friday, one sweet a day, based on the following self imposed constraints:\\n1) Laddu is not eaten on Monday\\n2) If Jamun is eaten on Monday, then Laddu must be eaten on Friday\\n3) If Laddu is eaten on Tuesday, Kulfi should be eaten on Monday\\n4) Peda is eaten the day following the day of eating Jilabi\\nBased on the above, peda can be eaten on any day except?\\nOptions:\\n(A) Tuesday\\n(B) Monday\\n(C) Wednesday\\n(D) Friday\\n(E) Sunday OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Peda is eaten the day following the day of eating Jilabi, So Peda can never be had on the starting day, which is Monday. The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Find 12 ×× 19\\nOptions:\\n(A) 238\\n(B) 228\\n(C) 208\\n(D) 277\\n(E) 101",
"from": "human"
},
{
"value": "Mentally imagine this number as (10 + 2 ) ×× 19 = 190 + 38 = 228.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: 3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\\nOptions:\\n(A) 45%\\n(B) 54%\\n(C) 57%\\n(D) 60%\\n(E) 65% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Total number of votes polled = (1136 + 7636 + 11628) = 20400\\nSo, Required percentage = 11628/20400 * 100 = 57%\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: If the cost price of 50 articles is equal to the selling price of 15 articles, then the gain or loss percent is?\\nOptions:\\n(A) 16\\n(B) 127\\n(C) 12\\n(D) 18\\n(E) 233.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Percentage of profit = 35/15 * 100 = 233% Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "In May Mrs Lee's earnings were 60 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?\\nOptions:\\n(A) 64%\\n(B) 68%\\n(C) 72%\\n(D) 76%\\n(E) 80% Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Say May income = 100\\nL's income = 60 and rest of the family = 40\\nIn June L's income = 60 * 120 /100 = 72\\nSo 72 /72 + 40 = 64% So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In Sam's hanger there are 23 boxes, 19 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam's hanger that is not for sale?\\nOptions:\\n(A) 1.\\n(B) 2.\\n(C) 3.\\n(D) 4.\\n(E) 5.\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Total boxes = 23\\nFilled with toys = 19\\nFilled with appliance = 4\\nTotal boxes for sale = 8\\nToy boxes for sale = 5\\nAppliance boxes for sale = 3\\nAppliance boxes not for sale = 4 - 3 = 1 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. The speed of a boat in still water is 50kmph 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) 70, 30 kmph\\n(D) 40, 60 kmph\\n(E) 20, 60 kmph",
"from": "human"
},
{
"value": "Speed downstream = 50 + 20 = 70 kmph\\nSpeed upstream = 50 - 20 = 30 kmph\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The length Q of a rectangle is decreased by 15% and its width is increased by 40%. Does the area of the rectangle decrease or increase and by what percent?\\nOptions:\\n(A) Decreases by 19%\\n(B) Decreases by 25%\\n(C) Increases by 6%\\n(D) Increases by 19%\\n(E) Increases by 25% Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Let the length Q of the rectangle be 100x, and width be 100y. Area = 100x * 100y = 10000xy\\nNow after the change Length = 85x, and width = 140 y. Area = 11900xy\\n% Change = (11900xy - 10000xy)/(10000xy) = 19 % Increase. Hence\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Student: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 600. How much did he have with him in the beginning?\\nOptions:\\n(A) s 200\\n(B) s 1500\\n(C) s 300\\n(D) s 450\\n(E) s 550.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Suppose the amount in the beginning was Rs ’x’\\nMoney spent on clothes = Rs 1x/3 Balance = Rs 2x/3\\nMoney spent on food = 1/5 of 2x/3 = Rs 2x/15\\nBalance = 2x/3 - 2x/15 = Rs 8x/15\\nMoney spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5\\nTherefore 2x/5 = 100 = 1500 Final answer: (B).",
"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 80 mph. What is his average speed of travel for the entire journey?\\nOptions:\\n(A) 61mph\\n(B) 62mph\\n(C) 63mph\\n(D) 64mph\\n(E) 65mph Random thoughts:",
"from": "human"
},
{
"value": "(2*40+3*80)/5 = 64mph The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?\\nOptions:\\n(A) 1/45\\n(B) 1/42\\n(C) 1/46\\n(D) 1/48\\n(E) 1/43 Stream of consciousness:",
"from": "human"
},
{
"value": "2/3 * 6/7 * 1/3 * 1/8 = 1/42\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: If 12 men can reap 120 acres of land in 16 days, how many acres of land can 36 men reap in 32 days?\\nOptions:\\n(A) 269\\n(B) 512\\n(C) 369\\n(D) 720\\n(E) 450 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "12 men 120 acres 16 days\\n36 men ? 32 days\\n120 * 36/12 * 32/16\\n120 * 3 * 2\\n120 * 6 = 720\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: 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 2.5 km long?\\nOptions:\\n(A) 4\\n(B) 3\\n(C) 5\\n(D) 7\\n(E) 9\nSome stream of consciousness:",
"from": "human"
},
{
"value": "D = 25 * 60 + 2500 = 4000 m\\nT = 4000/60 * 18/5 = 240 sec = 4 mins The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 60 with him, what was the average amount with the group before his joining the group?\\nOptions:\\n(A) s. 25.6\\n(B) s. 25\\n(C) s. 16.6\\n(D) s. 26\\n(E) s. 25.6 Hmmm, my stream of consciousness:",
"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. 60. So, the amount with remaining 6 people = 210 - 60 = Rs. 150\\nThe average amount with them = 150/6 = Rs. 25 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The average of 13 result is 20. Average of the first 8 of them is 20 and that of the last 8 is 40. Find the 8th result?\\nOptions:\\n(A) 35\\n(B) 37\\n(C) 46\\n(D) 90\\n(E) 100 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Sum of all the 13 results = 13 * 20 = 260\\nSum of the first 7 of them = 8 * 20 = 160\\nSum of the last 7 of them = 8 * 40 = 320\\nSo, the 8th number = 260 + 160 - 320 = 100. So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: How many common two-digit whole numbers are there which gives a remainder of 2 when divided by 9 and gives a remainder of 5 when divided by 8?\\nOptions:\\n(A) Five\\n(B) Three\\n(C) One\\n(D) Two\\n(E) Four Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Answer = C) One\\nTwo digit numbers giving remainder 2 when divided by 9 = 11, 20, 29, 38, 47, 56, 65, 74, 83, 92\\nTwo digit numbers giving remainder 5 when divided by 8 = 13, 21, 29, 37, 45, 53, 61, 69, 77, 85, 93\\nCommon Numbers = 29 = 1\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the least number must be subtracted from 427398 so that remaining no.is divisible by 15?\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 6\\n(D) 9\\n(E) 8 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Anmol can eat 27 pastries in a hour.\\nAakriti can eat 2 pastries in 10 minutes.\\nDivya can eat 7 pastries in 20 minutes.\\nHow long will it take them to eat a 420 pastries ?\\nOptions:\\n(A) 2 hours.\\n(B) 1 hours.\\n(C) 5 hours.\\n(D) 4 hours.\\n(E) 7 hours.\nSome stream of consciousness:",
"from": "human"
},
{
"value": "In one hour, Anmol eats 27 pastries, Aakriti eats 12, and Divya eats 21. A total of 60 pastries. Therefore 420 pastries would take 420 ÷ 60 = 7 hours. The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. What is the greatest positive integer x such that 6^x is a factor of 216^10?\\nOptions:\\n(A) 5\\n(B) 9\\n(C) 10\\n(D) 20\\n(E) 30",
"from": "human"
},
{
"value": "216^10 = (6^3)^10 = 6^30\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The purchase price of an article is $48. In order to include 30% of cost for overhead and to provide $12 of net profit, the markup should be\\nOptions:\\n(A) 15%\\n(B) 25%\\n(C) 35%\\n(D) 40%\\n(E) 55%",
"from": "human"
},
{
"value": "Cost price of article = 48$\\n% of overhead cost = 30\\nNet profit = 12 $\\nWe need to calculate % markup\\nNet profit as % of cost price = (12/48)*100 = 25%\\nTotal markup should be = 25 + 30 = 55% So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?\\nOptions:\\n(A) 10000\\n(B) 297\\n(C) 9279\\n(D) 2767\\n(E) 2676 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "100 * 100 = 10000\\n125 * 80 = 10000 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase?\\nOptions:\\n(A) 70%\\n(B) 60%\\n(C) 50%\\n(D) 40%\\n(E) 30% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Increase = (60/120)*100 = (1/2)*100 = 50%.\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A person deposits 1/16 of his income as Provident Fund and 1/15 of the remaining as insurance premium. If he spends 5/7 of the balance on domestic needs and deposits an amount of Rs. 50 in the bank, his total income would be\\nOptions:\\n(A) 150\\n(B) 200\\n(C) 250\\n(D) 300\\n(E) 350 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "(1-(1/16))(1-(1/15))(1-(5/7)) of Income = 50\\nHence income = 200\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: 396, 462, 572, 427, 671, 264\\nOptions:\\n(A) 396\\n(B) 427\\n(C) 671\\n(D) 264\\n(E) 572 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "In each number except 427, the middle digit is the sum of other two. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "There are 25 balls in a jar. You take out 5 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?\\nOptions:\\n(A) 12.\\n(B) 9.\\n(C) 8.\\n(D) 7.\\n(E) 6. Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "9 = 5 blue balls + 20/ 5 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "The average of first 10 odd numbers is?\\nOptions:\\n(A) 44\\n(B) 10\\n(C) 99\\n(D) 77\\n(E) 62 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Sum of 10 odd no. = 100\\nAverage = 100/10 = 10 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: Two trains are moving at 50 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) 7 1/7 sec\\n(B) 7 7/2 sec\\n(C) 7 1/8 sec\\n(D) 7 1/2 sec\\n(E) 7 3/2 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "70 + 50 = 120 * 5/18 = 100/3 mps\\nD = 150 + 100 = 250 m\\nT = 250 * 3/100 = 15/2 = 7 1/2 sec The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 540 meters long is running with a speed of 54 kmph. The time taken by it to cross a tunnel 180 meters long is?\\nOptions:\\n(A) 66 sec\\n(B) 46 sec\\n(C) 48 sec\\n(D) 65 sec\\n(E) 64 sec Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "D = 540 + 180 = 720\\nS = 54 * 5/18 = 15 mps\\nT = 720/15 = 48 se The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: The average age of A, B and C is 25 years. If the average age of A and C is 29 years, what is the age of B in years ?\\nOptions:\\n(A) 17\\n(B) 35\\n(C) 20\\n(D) 32\\n(E) 21 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Age of B = Age of (A + B + C) – Age of (A + C) = 25 × 3 – 29 × 2 = 75 – 58 = 17 years\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: In a group of dogs and peacocks, the number of legs are 18 less than four times the number of heads How many peacocks are there in that group?\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 5\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Let the number of dogs be 'x' and the number of peacocks by 'y'. Then, number of legs in the group = 4x + 2y. Number of heads in the group = x+y So, 4x+2y = 4(x+y) – 18 ⇒ 2y = 18 ⇒ y = 9 Number of peacocks in that group = 9. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of first four prime numbers greater than 30 is?\\nOptions:\\n(A) 38\\n(B) 20\\n(C) 30\\n(D) 40\\n(E) 50\nSome stream of consciousness:",
"from": "human"
},
{
"value": "31 + 37 + 41 + 43 = 152/4 = 38 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: In a race with 30 runners where 5 trophies will be given to the top 7 runners (the trophies are distinct: first place, second place, etc), how many ways can this be done?\\nOptions:\\n(A) 8^8 ways\\n(B) 8^9 ways\\n(C) 7^5 ways\\n(D) 8^7 ways\\n(E) 8^6 ways Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "7 people can be prized with 5 distinct prizes in 7^5 ways The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The edge of a cube is 6a cm. Find its surface?\\nOptions:\\n(A) 116a2 cm2\\n(B) 126a2 cm2\\n(C) 256a2 cm2\\n(D) 150a2 cm2\\n(E) 216a2 cm2",
"from": "human"
},
{
"value": "6a2 = 6 * 6a * 6a = 216a2\nThe answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "252 can be expressed as a product of primes as:\\nOptions:\\n(A) 2 x 2 x 3 x 3 x 7\\n(B) 2 x 2 x 3 x 3 x 8\\n(C) 2 x 2 x 3 x 3 x 6\\n(D) 2 x 2 x 3 x 3 x 1\\n(E) 2 x 2 x 3 x 3 x 2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Clearly, 252 = 2 x 2 x 3 x 3 x 7. So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 16. What is the middle number?\\nOptions:\\n(A) 27\\n(B) 29\\n(C) 36\\n(D) 34\\n(E) 35 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The total of seven numbers = 7X18 = 126\\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 16 = 90\\nSo, the middle number is (126 - 90 ) = 36\nThus, the answer is (C).",
"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 9 sec. What is the length of the train?\\nOptions:\\n(A) 118\\n(B) 150\\n(C) 277\\n(D) 258\\n(E) 191",
"from": "human"
},
{
"value": "Speed = 60 * 5/18 = 50/3 m/sec\\nLength of the train = speed * time = 50/3 * 9 = 150 m\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Which of the following is equal to the average (arithmetic mean) of (x+2)^2 and (x-4)^2?\\nOptions:\\n(A) x^2\\n(B) x^2+2\\n(C) x^2-2x+10\\n(D) x^2+2x+10\\n(E) x^2+4x+5",
"from": "human"
},
{
"value": "Avg = [(x+2)^2 + (x-4)^2] / 2\\nExpanding and simplifying, (x^2 + 4x + 4 + x^2 - 8x + 16 ) / 2 = x^2 - 2x +10\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next?\\nOptions:\\n(A) A) 12\\n(B) B) 11\\n(C) C) 27\\n(D) D) 53\\n(E) E) 86 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "In this series, each number is repeated, then 14 is subtracted to arrive at the next number. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.\\nOptions:\\n(A) 371.587 + 46.32 – 217.907\\n(B) 4 × 125 – 75 × 4\\n(C) 58.25 × 4.5 – 65.875\\n(D) 25 × 12 – 2 × 5 × 10\\n(E) 121 × 3.5 – 2 × 111.75 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "The other parts are equal to 200. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the units digit of the expression 14^7−19^4?\\nOptions:\\n(A) 0\\n(B) 3\\n(C) 4\\n(D) 6\\n(E) 8\nSome stream of consciousness:",
"from": "human"
},
{
"value": "I think answer on this one should be E too. Since we know that 14^7>19^4, as Will said one should always check if the number is positiv The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?\\nOptions:\\n(A) 5\\n(B) 4\\n(C) 3\\n(D) 6\\n(E) 8 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Part filled by A + B + C in 1 hour = 1/5 + 1/10 + 1/30 = 1/3\\nAll the three pipes together will fill the tank in 3 hours.\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 5\\n(D) 6\\n(E) 8 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(1056 / 23) gives remainder 21\\n21 + 2 = 23, So we need to add 2 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 15 percent of the test takers answered neither question correctly, what percent answered both correctly?\\nOptions:\\n(A) 60 %\\n(B) 65 %\\n(C) 70%\\n(D) 75%\\n(E) 80% Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "{Total} = {First correctly} + {Second correctly} - {Both correctly} + {Neither correctly}\\n100 = 85 + 75 - {Both correctly} + 15\\n{Both correctly} = 75.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Rs.800 amounts to Rs.920 in 3 years at simple interest. If the interest is increased by 3%, it would amount to how much?\\nOptions:\\n(A) 299\\n(B) 277\\n(C) 266\\n(D) 992\\n(E) 188 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(800*3*3)/100 = 72\\n920 + 72 = 992 So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A train 650 m long is running at a speed of 81 km/hr. In what time will it pass a bridge 340 m long?\\nOptions:\\n(A) 42\\n(B) 43\\n(C) 44\\n(D) 45\\n(E) 46 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 81 * 5/18 = 45/2 m/sec\\nTotal distance covered = 650 + 340 = 990 m\\nRequired time = 990 * 2/45 = 44 se So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: A car finishes a journey in ten hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?\\nOptions:\\n(A) 8 km/hr\\n(B) 10 km/hr\\n(C) 12 km/hr\\n(D) 16 km/hr\\n(E) None of these.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Distance covered by the car = 80 × 10 = 800 km\\n\\ Speed = 800⁄8 = 100 km/hr\\n\\ Speed gain = 100 – 80 = 20 km/hr Final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A 400 meter long train crosses a man standing on the platform in 10 sec. What is the speed of the train?\\nOptions:\\n(A) 144\\n(B) 108\\n(C) 278\\n(D) 126\\n(E) 112",
"from": "human"
},
{
"value": "S = 400/10 * 18/5 = 144 kmph\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. In what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 3 sec\\n(B) 4 sec\\n(C) 5 sec\\n(D) 6 sec\\n(E) 7 sec",
"from": "human"
},
{
"value": "T = 56/39 * 18/5 = 5 se So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: Calculate the circumference of a circular field whose radius is 8 centimeters.\\nOptions:\\n(A) 18 π cm\\n(B) 1 π cm\\n(C) 8 π cm\\n(D) 19 π cm\\n(E) 28 π cm Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Circumference C is given by\\nC = 2πr = 2π*9 = 18 π cm The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "5,9,16,28,48,__\\nOptions:\\n(A) 79\\n(B) 80\\n(C) 81\\n(D) 82\\n(E) 83 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "(9+5) +2 = 16\\n(16+9) +3 = 28\\n(28+16)+4 = 48\\n(48+28)+5 = 81\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Q: Calculate the largest 3 digit number which is exactly divisible by 89?\\nOptions:\\n(A) 911\\n(B) 969\\n(C) 979\\n(D) 977\\n(E) 971 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Largest 4 digit number is 999\\nAfter doing 999 ÷ 89 we get remainder 20\\nHence largest 3 digit number exactly divisible by 89 = 999 - 20 = 979\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Two pipes A and B can fill a cistern in 15 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) 13 3/7 min\\n(E) 17 5/7 min",
"from": "human"
},
{
"value": "1/15 + 1/30 - 1/40 = 9/120\\n120/9 = 13 3/7\nThe answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: If the given two numbers are respectively 6% and 30% of a third number, then what percentage is the first of the second ?\\nOptions:\\n(A) 20%\\n(B) 25%\\n(C) 18%\\n(D) 30%\\n(E) none of these Random thoughts:",
"from": "human"
},
{
"value": "Here, l = 6 and m = 30\\nTherefore, first number = l/m x 100% of second number = 6/30 x 100% of second number = 20% of second number The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: If the personal income tax rate is lowered from 38% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $36500?\\nOptions:\\n(A) $1825\\n(B) $5000\\n(C) $3150\\n(D) $7000\\n(E) $10000\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Saving = (38-33)% of 36500 = 1825. The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A 28 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) 8\\n(C) 88\\n(D) 77\\n(E) 14 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 28 = 8 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?\\nOptions:\\n(A) 63\\n(B) 25\\n(C) 40\\n(D) 65\\n(E) 98",
"from": "human"
},
{
"value": "Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "What percent is 36 paisa's of 12 rupees?\\nOptions:\\n(A) 3 %\\n(B) 4 %\\n(C) 5 %\\n(D) 6 %\\n(E) 7 % Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "12 Rupees = 1200paisa's\\n36/1200 × 100 = 3/12\\n12/3 = 3 % So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "he population of a city is 160,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\\nOptions:\\n(A) 1797787\\n(B) 1797723\\n(C) 179776\\n(D) 179728\\n(E) 179718 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Population after n years = P [1 + (R/100)]2\\nPopulation after 2 years = 160000 * [1 + 6/100]2 = (160000 x 53/50 x 53/50) = 179776 So the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?\\nOptions:\\n(A) 910% increase\\n(B) 10% increase\\n(C) 9% decrease\\n(D) 12% decrease\\n(E) 15% increase\nSome stream of consciousness:",
"from": "human"
},
{
"value": "(30 * 30)/100 = 9% decrease The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average age of applicants for a new job is 32, with a standard deviation of 8. The hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. Assuming that all applicants' ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?\\nOptions:\\n(A) 8\\n(B) 77\\n(C) 7\\n(D) 18\\n(E) 34 Stream of consciousness:",
"from": "human"
},
{
"value": "Minimum age = Average - 1 Standard deviation = 32 - 8 = 24\\nMaximum age = average + 1 Standard deviation = 32+ 8 = 40\\nMaximum number of different ages of the applicants = 30 - 24 + 1 = 7\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?\\nOptions:\\n(A) 3888\\n(B) 26989\\n(C) 26700\\n(D) 28800\\n(E) 2879 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Simple interest = (18000 * 4 * 15)/100 = Rs. 10800\\nAmount = P + I = 18000 + 10800 = Rs. 28800 So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: The speed of a boat in still water is 60kmph and the speed of the current is 30kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) kmph\\n(B) kmph\\n(C) kmph\\n(D) kmph\\n(E) kmph Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Speed downstream = 60 + 30 = 90 kmph\\nSpeed upstream = 60 - 30 = 30 kmph The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "In one hour, a boat goes 11 km/hr along the stream and 5 km/hr against the stream. The speed of the boat in still water (in km/hr) is:\\nOptions:\\n(A) 3\\n(B) 4\\n(C) 5\\n(D) 8\\n(E) 9 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "Speed in still water = (11 + 5)/2 kmph = 8 kmph.\nThe final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 55% 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) 20%\\n(E) 10% Random thoughts:",
"from": "human"
},
{
"value": "{Total} = {finance} + {marketing} - {both} + {neither}\\n100 = 25 + 55 - {both} + 40\\n{both} = 20%. The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: Remainder of 2^47/47 ?\\nOptions:\\n(A) 2\\n(B) 3\\n(C) 4\\n(D) 5\\n(E) 6 Random thoughts:",
"from": "human"
},
{
"value": "(2^(47/46))/47 = 2^1/47 = 2 The final answer: (A).",
"from": "gpt"
}
] |