conversations
list |
|---|
[
{
"value": "The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir?\\nOptions:\\n(A) 20\\n(B) 24\\n(C) 30\\n(D) 32\\n(E) 34 Stream of consciousness:",
"from": "human"
},
{
"value": "Use simultaneous equations / By combination\\n4x = 5y + 4\\n5x = 6y + 6\\nMultiply (1) by 6\\nMultiply (2) by -5\\nGet rid of y, and x = 6\\nThen 5x = 30\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?\\nOptions:\\n(A) 1360\\n(B) 1260\\n(C) 1060\\n(D) 1160\\n(E) 1460",
"from": "human"
},
{
"value": "There are 36 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 36 ways. When one person is appointed as leader, we are left with 35 students. Out of these 35 teachers, we can select one class representative. So, a class representative can be selected in 35 ways. Hence, the number of ways in which a leader and class representative can be selected = 36 x 35 = 1260 So the final answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?\\nOptions:\\n(A) 5\\n(B) 7\\n(C) 23\\n(D) 4\\n(E) 2 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5.\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. What is the median from the below series\\n90, 92, 93, 88, 95, 88, 97, 87, and 98\\nOptions:\\n(A) 85\\n(B) 89\\n(C) 92\\n(D) 98\\n(E) 100",
"from": "human"
},
{
"value": "Ordering the data from least to greatest, we get:\\n87, 88, 88, 90, 92, 93, 95, 96, 98\\nThe median score is 92.\nThe answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days?\\nOptions:\\n(A) 1/8\\n(B) 1/3\\n(C) 3/6\\n(D) 3/8\\n(E) 5/3 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "A's one day's work = 1/20\\nB's one day's work = 1/40\\n(A + B)'s one day's work = 1/20 + 1/40 = 3/40\\nThe part of the work completed in 5 days = 5 (3/40) = 3/8. The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: What will come in place of the x in the following number series? 1, 4, 10, 22, 46, x\\nOptions:\\n(A) 84\\n(B) 92\\n(C) 94\\n(D) 98\\n(E) 104 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "1\\n1 × 2 + 2 = 4\\n4 × 2 + 2 = 10\\n10 × 2 + 2 = 22\\n22 × 2 + 2 = 46\\n46 × 2 + 2 = 94 The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the simple interest on Rs.520 for 7 months at 8 paisa per month?\\nOptions:\\n(A) 277\\n(B) 270\\n(C) 291\\n(D) 266\\n(E) 121 Stream of consciousness:",
"from": "human"
},
{
"value": "I = (520*7*8)/100 = 291\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "A marble shop contains 6 blue marbles, 7 red marbles, and 7 green marbles. If 4 marbles are purchased at random from the shop, what is the probability that the 4 marbles will be blue?\\nOptions:\\n(A) 5/19\\n(B) 9/20\\n(C) 1/57\\n(D) 15/57\\n(E) 15/684 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "It doesn't matter which type of card you choose, so:\\nProbability of choosing 1st card: 6/20\\nProbability of choosing 2nd card of the same type: 5/19\\nProbability of choosing 3rd card of the same type: 4/18\\nMultiply and you get 1/57\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Find the average of the first 19 natural numbers?\\nOptions:\\n(A) 8\\n(B) 9\\n(C) 10\\n(D) 11\\n(E) 12 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Average of the first 'n' natural numbers = (n + 1)/2\\nWe get (19 + 1)/2 = 10\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average of 9 observations was 9, that of the 1st of 5 being 10 and that of the last 5 being 8. What was the 5th observation?\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 6\\n(E) 3 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "1 to 9 = 9 * 9 = 81\\n1 to 5 = 5 * 10 = 50\\n5 to 9 = 5 * 8 = 40\\n5th = 50 + 40 = 90 – 81 = 9 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. The average age of a family of 6 members is 40 years.If the age of the youngest member is 7 years,what was the average age of the family at the birth of the youngest member?\\nOptions:\\n(A) 33\\n(B) 18\\n(C) 21\\n(D) 12\\n(E) 19",
"from": "human"
},
{
"value": "Present age of total members = 6 X 40 = 240\\n7 yrs back their ages were = 6 x 7 = 42\\nAges at the birth of youngest member = 240 - 42 = 198\\nTherefore, avg age at the birth of youngest member = 198/6 = 33.\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A 35 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\\nOptions:\\n(A) 10\\n(B) 20\\n(C) 88\\n(D) 77\\n(E) 14\nSome stream of consciousness:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 35 = 10 The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "There are a total of 15 numbers with an average of 11. The average of first seven numbers is 14 and the average of last seven numbers is 6. What is the middle number?\\nOptions:\\n(A) 31\\n(B) 24\\n(C) 29\\n(D) 25\\n(E) 21 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The total of 15 numbers = 15X11 = 165\\nThe total of first 7 and last 7 numbers is = 7 X 14+7 X 6 = 140\\nSo, the middle number is (165 - 140 ) = 25\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Find the invalid no.from the following series 13, 18, 25, 30, 37, 40\\nOptions:\\n(A) 23\\n(B) 26\\n(C) 40\\n(D) 42\\n(E) 49 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5. So, 40 is wrong.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. The average age of 6 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) 24\\n(B) 25\\n(C) 26\\n(D) 27\\n(E) 28",
"from": "human"
},
{
"value": "20 + 24 + 6 * 2 = 56/2 = 28 So the final answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "What will come in place of the x in the following Number series? 2, 7, 27, 107, 427, x\\nOptions:\\n(A) 1427\\n(B) 1607\\n(C) 1707\\n(D) 2047\\n(E) 2147 Stream of consciousness:",
"from": "human"
},
{
"value": "2\\n2 × 4 - 1 = 7\\n7 × 4 - 1 = 27\\n27 × 4 - 1 = 107\\n107 × 4 - 1 = 427\\n427 × 4 - 1 = 1707\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "The average mark obtained by 22 candidates in an examination is 46. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?\\nOptions:\\n(A) 22\\n(B) 0\\n(C) 19\\n(D) 18\\n(E) 16 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "It is clear that 22 x 46 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 22\nThus, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Q: How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 3 ?\\nOptions:\\n(A) 4\\n(B) 0\\n(C) 3\\n(D) 2\\n(E) 1 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "A number ending with 3 can never be a perfect square.\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "5,9,20,32,52,__\\nOptions:\\n(A) 79\\n(B) 85\\n(C) 81\\n(D) 82\\n(E) 83 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "(9+5) +6 = 20\\n(16+9) +7 = 32\\n(28+16)+8 = 52\\n(48+28)+9 = 85 So the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "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) 4\\n(D) 5\\n(E) 6 Random thoughts:",
"from": "human"
},
{
"value": "If he draws any combination of 3 socks he will definitely have the matching pair of either colour. The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?\\nOptions:\\n(A) 15\\n(B) 66\\n(C) 77\\n(D) 30\\n(E) 42 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "90 * 20/60 = 30 kmph So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A can do a piece of work in 6 hours; B and C together can do it in 4 hours, which A and C together can do it in 3 hours. How long will B alone take to do it?\\nOptions:\\n(A) 8hours\\n(B) 6hours\\n(C) 14hours\\n(D) 12hours\\n(E) 5hours Stream of consciousness:",
"from": "human"
},
{
"value": "A's 1 hour work = 1/6;\\n(B + C)'s 1 hour work = 1/4;\\n(A + C)'s 1 hour work = 1/3\\n(A + B + C)'s 1 hour work = (1/4 + 1/6) = 5/12\\nB's 1 hour work = (5/12 - 1/3) = 1/12\\nB alone will take 12 hours to do the work.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "In what time a sum of money double itself at 3% per annum simple interest?\\nOptions:\\n(A) 33 1/8%\\n(B) 33 1/3%\\n(C) 33 7/3%\\n(D) 32 1/3%\\n(E) 23 1/3% Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "P = (P*3*R)/100\\nR = 33 1/3%\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A 160 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?\\nOptions:\\n(A) 96 kmph\\n(B) 94 kmph\\n(C) 92 kmph\\n(D) 86 kmph\\n(E) 76 kmph.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "S = 160/6 * 18/5 = 96 kmph Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "If a man can cover 8 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?\\nOptions:\\n(A) 108\\n(B) 180\\n(C) 107\\n(D) 168\\n(E) 122 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "8 m/s = 8 * 18/5 kmph\\n3 hours 45 minutes = 3 3/4 hours = 15/4 hours\\nDistance = speed * time = 8 * 18/5 * 15/4 km = 108 km. So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train 490 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 15 sec\\n(B) 16 sec\\n(C) 28 sec\\n(D) 20 sec\\n(E) 25 sec Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 490 * 2/35 = 28 se The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: A man rows his boat 72 km downstream and 30 km upstream, taking 3 hours each time. Find the speed of the stream?\\nOptions:\\n(A) 6 kmph\\n(B) 5 kmph\\n(C) 2 kmph\\n(D) 8 kmph\\n(E) 7 kmph Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Speed downstream = d/t = 72/(3) = 24 kmph\\nSpeed upstream = d/t = 30/(3) = 10 kmph\\nThe speed of the stream = (24 - 10)/2 = 7 kmph The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following is equal to (x+1)!/x!\\nOptions:\\n(A) x-1\\n(B) 1+(1/x) \\n(C) x+1\\n(D) 1\\n(E) x Stream of consciousness:",
"from": "human"
},
{
"value": "(x + 1)! = (x + 1) * x!\\n(x + 1)!/x! = x + 1\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "There are 47 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 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "{Total} = {M} + {N} - {Both}\\n{Total} = 47 + 28 - 12 = 63. So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Question: Find 96 ×× 98\\nOptions:\\n(A) 92/8\\n(B) 92/12\\n(C) 92/13\\n(D) 92/10\\n(E) 92/11 Random thoughts:",
"from": "human"
},
{
"value": "Here both numbers are less than 100. So they are deficient of - 4 and - 2 compared with 100. So The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A certain league has two divisions. The respective divisions had 11 and 13 teams qualify for the playoffs. Each division held its own double-elimination tournament -- where a team is eliminated from the tournament upon losing two games -- in order to determine its champion. The four division champions then played in a single-elimination tournament -- where a team is eliminated upon losing one game -- in order to determine the overall league champion. Assuming that there were no ties and no forfeits, what is the maximum number of games that could have been played in order to determine the overall league champion?\\nOptions:\\n(A) 41\\n(B) 42\\n(C) 45\\n(D) 47\\n(E) 49 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Overall, there can be 47 minuses. Tus, it is So the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "John makes $60 a week from his job. He earns a raise andnow makes $78 a week. What is the % increase?\\nOptions:\\n(A) 16.12%\\n(B) 16.66%\\n(C) 30%\\n(D) 17.66%\\n(E) 18.1% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Increase = (18/60)*100 = (3/10)*100 = 30%. So, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\\nOptions:\\n(A) 21\\n(B) 56\\n(C) 78\\n(D) 25\\n(E) 23\nSome stream of consciousness:",
"from": "human"
},
{
"value": "1 to 11 = 11 * 48 = 528\\n1 to 6 = 6 * 49 = 294\\n6 to 11 = 6 * 52 = 312\\n6th = 294 + 312 – 528 = 78 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”?\\nOptions:\\n(A) 5\\n(B) 7\\n(C) 49\\n(D) 20\\n(E) 25 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "The prompt is essentially asking for the maximum number of 3x3 squares that can be cut from a larger 21 by 21 square. Since each 'row' and each 'column' of the larger square can be sub-divided into 7 'pieces' each, we have (7)(7) = 49 total smaller squares (at maximum).\nSo, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "During a sale, the price of a pair of shoes is marked down 14% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?\\nOptions:\\n(A) 9%\\n(B) 10%\\n(C) 11%\\n(D) 16%\\n(E) 90% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Assume the price = 100\\nPrice during sale = 86\\nPrice after sale = 100\\nPercent increase = 14/86*100 = 16% approx. So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: 10 men and 15 women together can complete a work in 8 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?\\nOptions:\\n(A) 127 days\\n(B) 667 days\\n(C) 177 days\\n(D) 187 days\\n(E) 600 days Random thoughts:",
"from": "human"
},
{
"value": "1 man's 1 day work = 1/100\\n(10 men + 15 women)'s 1 day work = 1/8\\n15 women's 1 day work = (1/8 - 10/100) = 1/40\\n1 woman's 1 day work = 1/600\\n1 woman alone can complete the work in 600 days. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Find the least number must be subtracted from 378461 so that remaining no.is divisible by 13?\\nOptions:\\n(A) 4\\n(B) 5\\n(C) 7\\n(D) 6\\n(E) 8 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "On dividing 378461 by 13 we get the remainder 5, so 5 should be subtracted\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Grace has 18 jellybeans in her pocket. She has 10 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 13\\n(E) 15",
"from": "human"
},
{
"value": "The worst scenario is when she takes 10 red and 4 green, total of 14 jellybeans, and still doesn't have 3 distinct colors. But the next draw (15th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. Assisants are needed to prepare for preparation. Each helper can make either 2 large cakes or 35 small cakes/hour. The kitchen is available for 3hours and 20 large cakes and 700small cakes are needed. How many helpers are required?\\nOptions:\\n(A) 9\\n(B) 10\\n(C) 13\\n(D) 16\\n(E) 18",
"from": "human"
},
{
"value": "20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.\nThe final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.\\nOptions:\\n(A) 5/12\\n(B) 4/13\\n(C) 5/17\\n(D) 3/12\\n(E) 8/9",
"from": "human"
},
{
"value": "Using question number 11 and 12, we get the probability as\\n1 - (1/36 + 5/9) = 5/12\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "The average of five numbers is 41. The average of first two numbers is 32 and the average of last two numbers is 38. What is the middle number?\\nOptions:\\n(A) 59\\n(B) 64\\n(C) 61\\n(D) 72\\n(E) 65 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "The total of five numbers = 5X41 = 205\\nThe total of first 2 and last 2 numbers is = 2 X 32+2 X 38 = 140\\nSo, the middle number is (205 - 140 ) = 65 The answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. There are 3 teams each with 5 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?\\nOptions:\\n(A) 50\\n(B) 23\\n(C) 75\\n(D) 28\\n(E) 45",
"from": "human"
},
{
"value": "There are altogether three arrangements, which are we can select two members each from team A and B, each from team A and C, and each from team B and C. For each arrangement, there are altogether 25 possibilities (5*5) since each team has 5 players. So there are a total of 75 possibilities (25*3).\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. A pharmaceutical company received $5 million in royalties on the first $20 million in sales of and then $10 million in royalties on the next $108 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?\\nOptions:\\n(A) 8%\\n(B) 26%\\n(C) 45%\\n(D) 52%\\n(E) 56%",
"from": "human"
},
{
"value": "(10/108)/(5/20) = 20/27 = 74% it means that 10/108 represents only 74%. Therefore a decrease of 26%.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be\\nOptions:\\n(A) 2\\n(B) 5\\n(C) 6\\n(D) 7\\n(E) 14 Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "3150*y = A^2\\n3 * 1050 * y = A^2\\n3*5*210*y = A^2\\n3*5*7*3*2*5*y = A^2\\n2*3^2*5^2*7*y = A^2\\nConcept: The factors of squared integer should occur in pair. So, the only numbers left are 2*7\\nHence 14 ;\nThe final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "A man took loan from a bank at the rate of 13% p.a. S.I. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was?\\nOptions:\\n(A) Rs. 1846\\n(B) Rs. 18846\\n(C) Rs. 13846\\n(D) Rs. 2000\\n(E) Rs. 14846 Stream of consciousness:",
"from": "human"
},
{
"value": "Principal = (100 * 5400) / (13 * 3) = Rs. 13846\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Which of the following numbers is divisible by 4?\\nOptions:\\n(A) 27767\\n(B) 10224\\n(C) 26778\\n(D) 26679\\n(E) 26711 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "10224. This is the only option with last two digits divisible by 4 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Some question: What is the are of an equilateral triangle of side 12 cm?\\nOptions:\\n(A) 64√5\\n(B) 64√9\\n(C) 64√4\\n(D) 36√3\\n(E) 64√2\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Area of an equilateral triangle = √3/4 S2\\nIf S = 12, Area of triangle = √3/4 * 12 * 12 = 36√3 cm2; The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 4 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) 100 gallons\\n(C) 120 gallons\\n(D) 160 gallons\\n(E) 130 gallons Let's think first. 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 = 4 gallons\\\\nVolume of whole = 4 * 40 = 160 gallons.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\\nOptions:\\n(A) 22 kmph\\n(B) 40 kmph\\n(C) 78 kmph\\n(D) 50 kmph\\n(E) 23 kmph Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Speed downstream = 70 + 20 = 90 kmph\\nSpeed upstream = 70 - 20 = 50 kmph\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: Steve traveled the first 5 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) 53.33 mph\\n(B) 88 mph\\n(C) 60 mph\\n(D) 64 mph\\n(E) 66.67 mph Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Average Speed = Total distance/ Total time = (40 * 5 + 80 * 3)/(5 + 3) = 440/5 = 88\nTherefore, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: Four of the five parts numbered (a), (b), (c), (d) and (e) 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) (2x + 3y) 2\\n(B) (2y – x) 2 + y(16x + 5y) \\n(C) 4x(x + 2y) + y(4x + 9y) \\n(D) (2x + 2y) 2 + y(4x + 5y) \\n(E) (2x – y) 2 + 8y(2x + y) Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Others are requal to 4x2 + 9y2 + 12xy. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Question: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?\\nOptions:\\n(A) 820 acres\\n(B) 660 acres\\n(C) 620 acres\\n(D) 720 acres\\n(E) 920 acres Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "12 men 120 acres 36 days\\n44 men ? 54 days\\n120 * 44/12 * 54/36\\n10 * 44 * 3/2\\n44 * 15 = 660 The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. Which of the following statements is true?\\nOptions:\\n(A) P and A are cousins\\n(B) P is the maternsl uncle of A\\n(C) Q is the maternal grandfather of A\\n(D) C and P are sisters\\n(E) none Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "P is the maternsl uncle of A So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Student: A certain bushel of wheat generates one-third the profit of a bushel of corn. If a bushel of corn generates five-fourths the profit of a bushel of truffles, what fraction of the profit from a bushel of wheat is the profit from a bushel of truffles?\\nOptions:\\n(A) 5/12\\n(B) 4/5\\n(C) 5/4\\n(D) 5/3\\n(E) 12/5.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Let Corn profit = 3x\\nWheat profit = x\\nTruffle Profit = 4/5 * 3x = 12/5 * x\\nWheat Profit / Truffle Profit = x / [12/5 * x] = 5/12 Final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. In how many different number of ways 6 men and 2 women can sit on a shopa which can accommodate persons?\\nOptions:\\n(A) 1680\\n(B) 1800\\n(C) 2000\\n(D) 2100\\n(E) 2300",
"from": "human"
},
{
"value": "8p4 = 8 × 7 × 6 x 5 = 1680\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Which of these numbers is different from the others?\\nOptions:\\n(A) 678\\n(B) 690\\n(C) 696\\n(D) 702\\n(E) 708 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "All of the numbers are multiples of 6. 702 is the only number that is also a multiple of 9.\nThus, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?\\nOptions:\\n(A) 22\\n(B) 88\\n(C) 16\\n(D) 83\\n(E) 82 Stream of consciousness:",
"from": "human"
},
{
"value": "10 * 15 + 36 – 26 = 160/10 = 16\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. What is the units digit of the expression 14^7−20^4?\\nOptions:\\n(A) 8\\n(B) 3\\n(C) 4\\n(D) 6\\n(E) 0",
"from": "human"
},
{
"value": "I think answer on this one should be A too. Since we know that 14^7>20^4, as Will said one should always check if the number is positive.\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: A train running at the speed of 90 km/hr crosses a pole in 6 seconds. Find the length of the train.\\nOptions:\\n(A) 150 meter\\n(B) 100 meter\\n(C) 105 meter\\n(D) 120 meter\\n(E) 130 meter Random thoughts:",
"from": "human"
},
{
"value": "Speed = 90*(5/18) m/sec = 25 m/sec\\nLength of Train (Distance) = Speed * Time\\n(25) * 6 = 150 meter The final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Student: 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) 288\\n(B) 200\\n(C) 279\\n(D) 992\\n(E) 208.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "(800*3*3)/100 = 72\\n920 + 72 = 992 Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "3 candidates in an election and received 6136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\\nOptions:\\n(A) 46%\\n(B) 49%\\n(C) 57%\\n(D) 59%\\n(E) 61% Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Total number of votes polled = (6136 + 7636 + 11628) = 25400\\nSo, Required percentage = 11628/25400 * 100 = 46% So, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. If x and y are unique prime integers, which of the following must be even?\\nOptions:\\n(A) x−y\\n(B) x−2y\\n(C) 2x−2y\\n(D) 2x−y\\n(E) xy^2",
"from": "human"
},
{
"value": "Any number multiplied by 2 has to be an even number So the final answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "What is the % change in the area of a rectangle when its length increases by 60% and its width decreases by 60%?\\nOptions:\\n(A) 0%\\n(B) 20% increase\\n(C) 36% decrease\\n(D) 1% decrease\\n(E) Insufficient data OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "(16/10)*(4/10) = 64/100 of original area\\n64/100 is a 36% decrease from 100/100 -> The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: In what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?\\nOptions:\\n(A) 5 sec\\n(B) 4 sec\\n(C) 3 sec\\n(D) 7 sec\\n(E) 1 sec Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "T = 70/36 * 18/5 = 7 sec The final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A train 210 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 15 sec\\n(B) 16 sec\\n(C) 18 sec\\n(D) 12 sec\\n(E) 25 sec OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 210 * 2/35 = 12 sec The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?\\nOptions:\\n(A) 288\\n(B) 2778\\n(C) 279\\n(D) 450\\n(E) 278 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "10 * 150 = 1500\\n3 * 100 + 5 * 150 = 1050\\n1500 – 1050 = 450\nTherefore, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?\\nOptions:\\n(A) 20 cm\\n(B) 15 cm\\n(C) 30 cm\\n(D) 40 cm\\n(E) 45 cm Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "1: 2/5 = 5: 2\\n2/7 * 70 = 20\nSo, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: There are 18 balls in a jar. You take out 3 black balls without putting them back inside, and now the probability of pulling out a black ball is 1/3. 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.\nSome stream of consciousness:",
"from": "human"
},
{
"value": "8 = 3 blue balls + 15 / 3 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the average of all the numbers between 6 and 34 which are divisible by 5.\\nOptions:\\n(A) 22\\n(B) 20\\n(C) 288\\n(D) 277\\n(E) 21.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "Average = (10 + 15 + 20 + 25 + 30)/5 = 100/5 = 20. Final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?\\nOptions:\\n(A) 1\\n(B) 2\\n(C) 46\\n(D) 50\\n(E) 97",
"from": "human"
},
{
"value": "We have 99 Presidents and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 Presidents must leave.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Find the largest 2 digit number which is exactly divisible by 88?\\nOptions:\\n(A) 88\\n(B) 89\\n(C) 99\\n(D) 54\\n(E) 90 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "Largest 2 digit number is 99\\nAfter doing 99 ÷ 88 we get remainder 11\\nHence largest 2 digit number exactly divisible by 88 = 99 - 11 = 88 So the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "Question: Grace has 20 jellybeans in her pocket. She has 12 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?\\nOptions:\\n(A) 4\\n(B) 8\\n(C) 12\\n(D) 13\\n(E) 17 Random thoughts:",
"from": "human"
},
{
"value": "The worst scenario is when she takes 12 red and 4 green, total of 16 jellybeans, and still doesn't have 3 distinct colors. But the next draw (17th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket. The final answer: (E).",
"from": "gpt"
}
] |
[
{
"value": "Student: Find the probability that the number drawn is a factor of 50.\\nOptions:\\n(A) 1/25\\n(B) 1/50\\n(C) 3/25\\n(D) 3/50\\n(E) 7/50.\nAnother student: Let's say, hmmm...\n",
"from": "human"
},
{
"value": "The factors of 50 are 1, 2, 5, 10, 25, 50\\nTherefore, required probability = 6/100 = 3/50. Final answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "Question: There are 10person among whom 2are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1person sit between the brothers, is equal to?\\nOptions:\\n(A) 7!*1!\\n(B) 7!*2!\\n(C) 6!*2!\\n(D) 8!*2!\\n(E) 6!*2! Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "Total number of ways = 7!*2!. The final answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "How much more would Rs.30000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?\\nOptions:\\n(A) 482\\n(B) 725\\n(C) 992\\n(D) 837\\n(E) 723 Stream of consciousness first, then make a decision:",
"from": "human"
},
{
"value": "30000(11/10)4 - 30000(6/5)2 = 723\nThus, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. It was 7:00 when Bill looked at the clock, he looks at the clock again 30 minutes later. What time is it now?\\nOptions:\\n(A) 7:30\\n(B) 7:00\\n(C) 8:00\\n(D) 1:28\\n(E) 2:40",
"from": "human"
},
{
"value": "If it's 7:00 and 30 minutes pass buy, it will be 7:30\nThe answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A can do a piece of work in 20 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?\\nOptions:\\n(A) 18\\n(B) 77\\n(C) 66\\n(D) 55\\n(E) 10 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "8/20 + 6/x = 1\\nX = 10 days So the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Q: At what rate percent on simple interest will a sum of money double itself in 30 years?\\nOptions:\\n(A) 3 1/3%\\n(B) 3 1/8%\\n(C) 3 7/3%\\n(D) 3 1/7%\\n(E) 3 1/1% Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "P = (P*30*R)/100\\nR = 3 1/3%\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "John left home and drove at the rate of 45 mph for 2 hours. He stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. How many miles did John drive?\\nOptions:\\n(A) 235 miles.\\n(B) 245 miles.\\n(C) 225 miles.\\n(D) 265 miles.\\n(E) 275 miles. Stream of consciousness:",
"from": "human"
},
{
"value": "The total distance D traveled by John is given by\\nD = 45 * 2 + 3 * 45 = 225 miles.\nThus, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "Question: If the average (arithmetic mean) of the four numbers K, 3K + 3, 3K – 4 and 5K + 1 is 60, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 20\\n(D) 23\\n(E) 25 3/10 Let's think first. Some random reasoning:",
"from": "human"
},
{
"value": "K + 3K +3 + 3K - 4 + 5K +1 = 12K\\n(12K)/4 = 60\\n12K = 60 * 4 = 240\\nK = 240/ 12 = 20. The final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. 3 candidates in an election and received 4136, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate got in that election?\\nOptions:\\n(A) 45%\\n(B) 49%\\n(C) 50%\\n(D) 59%\\n(E) 61%",
"from": "human"
},
{
"value": "Total number of votes polled = (4136 + 7636 + 11628) = 23400\\nSo, Required percentage = 11628/23400 * 100 = 50%\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "The average age of a class of 40 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher\\nOptions:\\n(A) 30 Years\\n(B) 56 Years\\n(C) 32 Years\\n(D) 34 Years\\n(E) 49 Years Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "Total age of students is 40X15 = 600 Years\\nTotal age inclusive of teacher = 41X (15+1) = 656\\nSo, Teacher's age is 656-600 = 56 Yrs\\nThere is a shortcut for these type of problems\\nTeacher's age is 15+(41X1) = 56 Years\nSo, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "A small company employs 3 men and 4 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?\\nOptions:\\n(A) 1/14\\n(B) 1/7\\n(C) 20/70\\n(D) 18/70\\n(E) 1/2 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "Total ways to choose 4 employees from 8 employees = 8C4\\nTwo women = 4C2\\nTwo Men = 3C2\\nP = (5C2 * 3C2)/8C2 = 18/70 hence So, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The volume of a certain substance is always directly proportional to its weight. If 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?\\nOptions:\\n(A) 27\\n(B) 36\\n(C) 42\\n(D) 22\\n(E) 147\nSome stream of consciousness:",
"from": "human"
},
{
"value": "112 ounces of a substance has a volume of 48 cubic inches\\n53 ounces of a substance has a volume of (48/112)*53 = 22 cubic inches The answer: (D).",
"from": "gpt"
}
] |
[
{
"value": "A and B can do a work in 2 days, B and C in 6 days and C and A in 8 days. In how many days will the work be completed, if all three of them work together?\\nOptions:\\n(A) 12/28\\n(B) 48/19\\n(C) 16/48\\n(D) 18/48\\n(E) 12/64 Stream of consciousness:",
"from": "human"
},
{
"value": "One day work of A and B = 1/2\\nOne day work of B and C = 1/6\\nOne day work of C and A = 1/8\\n2(A + B + C) = 1/2 + 1/6 + 1/8\\n2(A + B + C) = 19/24\\n(A + B + C) = 19/48\\nNumber of days required = 48/19 days.\nThus, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "How many two-digit numbers satisfy this property.: The last digit (unit's digit) of the square of the two-digit number is 7 ?\\nOptions:\\n(A) 3\\n(B) 1\\n(C) 4\\n(D) 0\\n(E) 2 Let's think first. Stream of consciousness:",
"from": "human"
},
{
"value": "A number ending with 7 can never be a perfect square.\nSo, the answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A man sells two articles for Rs.3600 each and he gains 30% on the first and loses 30% on the next. Find his total gain or loss?\\nOptions:\\n(A) 9\\n(B) 8\\n(C) 7\\n(D) 5\\n(E) 3 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "(30*30)/100 = 9%loss\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "A Train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.\\nOptions:\\n(A) 60 kmph\\n(B) 75 kmph\\n(C) 80 kmph\\n(D) 85 kmph\\n(E) 72 kmph Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "In 12s the train crosses the pole and in 27 sec the train crosses one more stationary train\\nIn 15 sec the train travels a distance of 300 mtrs\\nSpeed = 300/15 = 20 m/s = 20 (3600/1000) = 20 * 18/5 = 72 kmph So, the answer is (E).",
"from": "gpt"
}
] |
[
{
"value": "Give stream of consciousness and then the final answer. A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 83. How many points altogether did the team score?\\nOptions:\\n(A) 662\\n(B) 672\\n(C) 654\\n(D) 642\\n(E) 721",
"from": "human"
},
{
"value": "8 * 83 = 664 – 10 = 654\nThe final answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Some question: A train 280 m long, running with a speed of 63 km/hr will pass a tree in?\\nOptions:\\n(A) 65 sec\\n(B) 16 sec\\n(C) 87 sec\\n(D) 99 sec\\n(E) 96 sec\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Speed = 63 * 5/18 = 35/2 m/sec\\nTime taken = 280 * 2/35 = 16 sec The answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "A owner of a mart earns an income of Re 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, he earns an income of:\\nOptions:\\n(A) 18\\n(B) 21\\n(C) 22\\n(D) 20\\n(E) 30 OK. Let's think. Some random thoughts first:",
"from": "human"
},
{
"value": "2nd day he earns = 2(2 – 1)\\n3rd day he earns = 2(3 – 1)\\nOn 10th day he earns 2(10 -1) = 18 rupees The answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "Some question: The average of first 13 natural numbers is?\\nOptions:\\n(A) 5.2\\n(B) 5.5\\n(C) 7\\n(D) 9\\n(E) 10\nSome stream of consciousness:",
"from": "human"
},
{
"value": "Sum of 13 natural no. = 182/2 = 91\\nAverage = 91/13 = 7 The answer: (C).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. Four of the five parts numbered (a), (b), (c), (d) and (e) 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) 40% of 160 + 1⁄3 of 240\\n(B) 120% of 1200\\n(C) 38 × 12 – 39 × 8\\n(D) 1648 – 938 – 566\\n(E) 6 1⁄2 of 140 – 2.5 × 306.4",
"from": "human"
},
{
"value": "Others are equal to 144 whereas (b) equals 1440.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Give a quick stream of consciousness before answering the following question. What is the Mode of the following data set S- {1,2,6,9,6,6,10}\\nOptions:\\n(A) 9\\n(B) 6\\n(C) 10\\n(D) 1\\n(E) 2",
"from": "human"
},
{
"value": "Mode of a set is the data point that is repeated the most number of times. In the set given, 6 is repeated.\nThe answer: (B).",
"from": "gpt"
}
] |
[
{
"value": "Q: A family pays $800 per year for an insurance plan that pays 70 percent of the first $1,000 in expenses and 100 percent of all medical expenses thereafter. In any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.\\nOptions:\\n(A) $1,000\\n(B) $1,200\\n(C) $1,400\\n(D) $1,800\\n(E) $2,200 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "Upfront payment for insurance plan = 800$\\nFamily needs to pay 30 % of first 1000 $ in expense = 300$\\nTotal amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 300 = 1100 $\\nTotal amount paid by insurance plan for first 1000 $ = 800 $\\nTotal amount paid by family will equal amount paid by plan when medical expense = 1400 $\\n(Since insurance plan will pay 100% of amount that exceeds 1100$ )\nTherefore, the answer is (C).",
"from": "gpt"
}
] |
[
{
"value": "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 18 minutes, how much time will she spend doing yoga? (rounded to minutes)\\nOptions:\\n(A) 30 min.\\n(B) 41 min.\\n(C) 17 min.\\n(D) 23 min.\\n(E) 25 min. Now, let's think a bit. Some random thoughts:",
"from": "human"
},
{
"value": "The ratio is 2:3 = gym:ride, so (18)(3/2) = 27 minutes at the gym, and 27 + 18 = 45 minutes exercise, so (2/3)(45) = 30 minutes yog\nThe final answer: (A).",
"from": "gpt"
}
] |
[
{
"value": "A motorcyclist goes from Bombay to Pune, a distance of 160 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\\nOptions:\\n(A) 1:2\\n(B) 2:5\\n(C) 1:4\\n(D) 1:1\\n(E) 1:6 Hmmm, my stream of consciousness:",
"from": "human"
},
{
"value": "T = 160/32 = 5 h\\nT = 5 - 3 = 2\\nTime Ratio = 5:2 = 5:2\\nSpeed Ratio = 2:5 So, the answer is (B).",
"from": "gpt"
}
] |
[
{
"value": "Use some thinking to answer the following question. Select Odd number:\\n6, 9, 15, 21, 24, 28, 30\\nOptions:\\n(A) 20\\n(B) 21\\n(C) 24\\n(D) 28\\n(E) 30",
"from": "human"
},
{
"value": "Each of the numbers except 28, is a multiple of 3. So the final answer is (D).",
"from": "gpt"
}
] |
[
{
"value": "Q: A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?\\nOptions:\\n(A) 15\\n(B) 66\\n(C) 88\\n(D) 1\\n(E) 12 Let's give some random thoughts before answering.",
"from": "human"
},
{
"value": "90 * 10/60 = 15 kmph\nTherefore, the answer is (A).",
"from": "gpt"
}
] |
[
{
"value": "If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 85, what is the value of K?\\nOptions:\\n(A) 11\\n(B) 15 3/4\\n(C) 31\\n(D) 23\\n(E) 25 3/10 Think first, then make a decision. Some random thoughts:",
"from": "human"
},
{
"value": "K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\\n(11K -1)/4 = 85\\n11K = 85 * 4 +1 = 340 +1 = 341\\nK = 253 / 11 = 31. So the answer is (C).",
"from": "gpt"
}
] |
Subsets and Splits