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flan_v2
|
flan_v2_89096
|
[
{
"content": "You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.\nGiven a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.\n\nProblem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?\nOptions: a. 24, b. 120, c. 625, d. 720, e. 1024\nSolution: c\nWhy? 5 choices for each of the 4 questions, thus total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Hence, the answer is c.\n\nNew input: Problem: working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates ?\nOptions: a. 4 / 11, b. 1 / 2, c. 15 / 22, d. 10 / 1, e. 11 / 4\nSolution:",
"role": "user"
},
{
"content": "d",
"role": "assistant"
}
] |
flan_v2
|
flan_v2_90782
|
[
{
"content": "Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.\n\nExample input: Problem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?\nOptions: a. 24, b. 120, c. 625, d. 720, e. 1024\nExample output: c\nExample explanation: 5 choices for each of the 4 questions, thus total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Hence, the answer is c.\nQ: Problem: a can do a piece of work in 28 days and b alone can do it in 10 days. b works at it for 5 days and then leaves. a alone can finish the remaining work in\nOptions: a. 5 days, b. 6 days, c. 7.5 days, d. 14 days, e. 9 days\nA:",
"role": "user"
},
{
"content": "d",
"role": "assistant"
}
] |
flan_v2
|
flan_v2_91893
|
[
{
"content": "Part 1. Definition\nGiven a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.\nPart 2. Example\nProblem: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?\nOptions: a. 24, b. 120, c. 625, d. 720, e. 1024\nAnswer: c\nExplanation: 5 choices for each of the 4 questions, thus total r of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them. Hence, the answer is c.\nPart 3. Exercise\nProblem: on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination. she then drove the remaining 300 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach ?\nOptions: a. 600, b. 300, c. 350, d. 400, e. 550\nAnswer:",
"role": "user"
},
{
"content": "a",
"role": "assistant"
}
] |
cot
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cot_70989
|
[
{
"content": "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 20 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 33 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min.\nanswer: Stream of consciousness: The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga. The answer is (B).\nq: A person borrowed Rs.600 @ 3% per annum S.I and Rs.800 @ 4½ % per annum on the agreement that the whole sum will be returned only when the total interest becomes Rs.246. The number of years, after which the borrowed sum is to be returned, is\nOptions:\n(A) 2 years\n(B) 3years\n(C) 4 years\n(D) 5 years\n(E) 6 years\na: Stream of consciousness: Let the time be x years. Then (600 *3* x)/100 + (800*9*x)/(2*100) = 24\n18x+ 36x = 246 ; x = 246/54 = 4 years\nRequired time = 4 years The answer is (C).\nquestion: A scientist was researching into animal behavior in his laboratory. He was very interested in studying the behavior of bears. He travelled a mile to the north and reached the north pole. There he saw a bear. He then followed the bear for an 1 hour to the east with a speed of 2km/hr. After that he travelled south and reached his laboratory in 2 hours. What was the colour of the bear?\nOptions:\n(A) Black\n(B) White\n(C) Red\n(D) Blue\n(E) None\nanswer: Stream of consciousness: This question is based on bear on poles so it should be polo bear and the color of polo bear is white. The answer is (B).\nq: The no. of girls in a class are 7times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 20\n(B) 35\n(C) 30\n(D) 40\n(E) 42\na: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).\nquestion: 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\nanswer: Stream of consciousness: 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 The answer is (C).\nquestion: If a man walks to his office at 3/4 of his usual rate, he reaches office 1/3 of an hour later than usual. What is his usual time to reach office.\nOptions:\n(A) 1⁄2 hr\n(B) 1 hr\n(C) 3⁄4 hr\n(D) 2 hrs\n(E) None of these\nanswer:",
"role": "user"
},
{
"content": "Stream of consciousness: If new speed is a⁄b of original speed, then usual time × (b⁄a - 1) = change in time\n∴ usual time × (4⁄3 - 1) = 1⁄3\n⇒ usual time = 1⁄3 × 3 = 1 hr The answer is (B).",
"role": "assistant"
}
] |
cot
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cot_79717
|
[
{
"content": "If n is an integer, then the least possible value of |33 - 5n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 4\n\n|33 - 5n| represents the distance between 33 and 5n on the number line. Now, the distance will be minimized when 5n, which is multiple of 5, is closest to 33. Multiple of 5 which is closest to 33 is 35 (for n = 7), so the least distance is 2: |33 - 35| = 2. So the answer is: (C).\n\nThe average of 13 numbers is 60. Average of the first 7 of them is 56 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 39\n(B) 83\n(C) 45\n(D) 53\n(E) 64\n\nSum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 56 = 392\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 392 - 780 = 39. So the answer is: (A).\n\nThe price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?\nOptions:\n(A) 29997\n(B) 28088\n(C) 27098\n(D) 37500\n(E) 2799\n\nMoney paid in cash = Rs. 2500\nBalance payment = (40000- 2500) = Rs. 37500. So the answer is: (D).\n\nA can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?\nOptions:\n(A) 7 days\n(B) 8 days\n(C) 5 days\n(D) 4 days\n(E) 2 days\n\n",
"role": "user"
},
{
"content": "A + B = 1/20 + 1/15 = 7/60\nA + C = 1/20 + 1/12 = 8/60\n7/60 + 8/60 = 15/60 = 1/4\n4 days * 2 = 8 days So the answer is: (B).",
"role": "assistant"
}
] |
cot
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cot_97525
|
[
{
"content": "q: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?\nOptions:\n(A) 4500 M3\n(B) 27000 M3\n(C) 3000 M3\n(D) 2700 M3\n(E) 3700 M3\na: Stream of consciousness: (3000 * 2 * 5)/60 = 4500 M3 The answer is (A).\nquestion: CMM, EOO, GQQ, _____, KUU\nOptions:\n(A) MSQ\n(B) IPS\n(C) IIS\n(D) ISS\n(E) POL\nanswer: Stream of consciousness: The first letters are in alphabetical order with a letter skipped in between each segment: C, E, G, I, K. The second and third letters are repeated; they are also in order with a skipped letter: M, O, Q, S, U. The answer is (D).\nq: If the given two numbers are respectively 6% and 18% 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) 33 1/3%\n(E) none of these\na: Stream of consciousness: Here, l = 6 and m = 18\nTherefore, first number = l/m x 100% of second number = 6/18 x 100% of second number = 33 1/3% of second number The answer is (D).\nquestion: If a company allocates 15 percent of its budget to advertising, 20 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?\nOptions:\n(A) 4/5\n(B) 3/5\n(C) 3/10\n(D) 1/5\n(E) 1/10\nanswer: Stream of consciousness: 15 + 20 + 55 = 90% 100 - 90 = 10% to all others The answer is (E).\nq: If n is an integer, then the least possible value of |15 - 8n| is?\nOptions:\n(A) 0\n(B) 2\n(C) 1\n(D) 3\n(E) 5\na: Stream of consciousness: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. The answer is (C).\nq: In what time will a railway train 40 m long moving at the rate of 36 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\na:",
"role": "user"
},
{
"content": "Stream of consciousness: T = 40/36 * 18/5 = 4 sec The answer is (B).",
"role": "assistant"
}
] |
cot
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cot_55405
|
[
{
"content": "q: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\nOptions:\n(A) 6 2/3%\n(B) 6 2/9%\n(C) 6 3/3%\n(D) 9 2/3%\n(E) 7 2/3%\na: Stream of consciousness: 4/9 P = (P*R*R)/100\nR = 20/3 = 6 2/3% The answer is (A).\nquestion: What is the sum of all the composite numbers up to 20?\nOptions:\n(A) 130\n(B) 132\n(C) 124\n(D) 145\n(E) 166\nanswer: Stream of consciousness: 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132 The answer is (B).\nq: A man pointing to a photo says \"The lady in the photograph is my nephew’s maternal grandmother\". How is the lady in the photograph related to the man’s sister who has no other sister ?\nOptions:\n(A) Cousin\n(B) Sister-in-law\n(C) Mother\n(D) Mother-in-law\n(E) None of these\na: Stream of consciousness: Since the man is referring to his nephew, the nephew’s parent has to be a sibling to the man. Now the last part says that the man’s sister has no other sister and hence the brother-sister relationship is established between the man and his nephew’s mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man’s sister. The answer is (C).\nquestion: If n is an integer, then the least possible value of |35 - 6n| is?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 0\n(E) 1\nanswer: Stream of consciousness: |35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1. The answer is (E).\nq: 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\na: Stream of consciousness: It's a simple geometry problem. Look at the diagram below: The answer is (D).\nq: How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 27 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec\na:",
"role": "user"
},
{
"content": "Stream of consciousness: D = 120 + 150 = 270\nS = 36 * 5/18 = 10 mps\nT = 270/10 = 27 sec The answer is (A).",
"role": "assistant"
}
] |
cot
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cot_62921
|
[
{
"content": "question: Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 460 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)\nOptions:\n(A) 8/3\n(B) 3/8\n(C) 8/5\n(D) 5/8\n(E) 40/23\nanswer: Stream of consciousness: 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 = 460 km\nTime taken by Freddy = 4 hours\nAverage speed of Freddy = 460/4 = 115 km/hour\nRatio of average speed of Eddy to Freddy = 200/115 = 40/23 The answer is (E).\nq: A fair coin is tossed repeatedly. If head appears on the first four tosses, then the probability of appearance of tail on the fifth toss is.\nOptions:\n(A) 1/7\n(B) 1/2\n(C) 3/7\n(D) 2/3\n(E) 1/3\na: Stream of consciousness: Since the coin is a fair coin, every toss is independent of any other toss. Hence, the probability of appearance of tail on the fifth toss is = 1/2 The answer is (B).\nquestion: There are 5person 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) 4!*2!\n(B) 2!*2!\n(C) 6!*1!\n(D) 2!*1!\n(E) 5!*1!\nanswer: Stream of consciousness: Total number of ways = 2!*2!. The answer is (B).\nq: A shipment of 8 TV sets contains 1 black and white sets and 7 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?\nOptions:\n(A) 1/7\n(B) 1/4\n(C) 5/14\n(D) 11/28\n(E) 13/28\na: Stream of consciousness: 7/8 * 6/7 = 3/4\n1-(3/4) = 1/4 The answer is (B).\nquestion: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?\nOptions:\n(A) 24\n(B) 120\n(C) 625\n(D) 720\n(E) 1024\nanswer: Stream of consciousness: 5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways. The answer is (C).\nquestion: 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\nanswer:",
"role": "user"
},
{
"content": "Stream of consciousness: T = 70/36 * 18/5 = 7 sec The answer is (D).",
"role": "assistant"
}
] |
cot
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cot_68169
|
[
{
"content": "question: 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\nanswer: Stream of consciousness: 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 The answer is (D).\nq: 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\na: Stream of consciousness: 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 The answer is (D).\nquestion: For some integer x, x^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 41\n(B) 38\n(C) 29\n(D) 31\n(E) 30\nanswer: Stream of consciousness: Hint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (E).\nq: In a school of 450 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?\nOptions:\n(A) 72\n(B) 75\n(C) 80\n(D) 81\n(E) 90\na: Stream of consciousness: 44 + 28 + 10 = 82%\n100 – 82 = 18%\n450 * 18/100 = 81 The answer is (D).\nquestion: A certain league has two divisions. The respective divisions had 7 and 9 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) 30\n(B) 31\n(C) 34\n(D) 36\n(E) 38\nanswer: Stream of consciousness: Overall, there can be 31 minuses. Tus, it is The answer is (B).\nquestion: 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\nanswer:",
"role": "user"
},
{
"content": "Stream of consciousness: 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. The answer is (E).",
"role": "assistant"
}
] |
flan_v2
|
flan_v2_51570
|
[
{
"content": "[Q]: Two continents were known for the strange discrepancies in animal populations. Asia was mostly populated by reptiles of all species, while Africa was mostly populated by birds and very few reptiles. Given the paragraph above, please answer correctly the following question: Which continent was inhabited by fewer lizards?\n****\n[A]: Africa\n\n\ninput: Please answer the following: David is experimenting with electromagnetic waves. He has four different waves to study, wave A, wave B, wave C, and wave D. In wave A, distance between two corresponding points on adjacent waves is greater than that of wave B. In wave C, the number of waves that pass a fixed point in a given time is greater than that of wave D. Given the paragraph above, please answer correctly the following question: Which wave has lower frequency, wave C or wave D?\n++++++++++\noutput: wave D\n\n\nPlease answer this: Ricky, an entomologist, is observing an ant colony in his back yard. After some observation, he discovers that all the ants travel down one of two distinct paths in order to find food to bring back to the colony. After taking some measurements, Ricky sees that path A is approximately 100 meters in length, and path B is approximately 150 meters in length. Ricky is now trying to make some scientific conclusions based on these observations. Given the paragraph above, please answer correctly the following question: Which path will have higher pheromone density?\n++++++++\nAnswer: path A\n\n\nProblem: Bob was a medical student and he studied drugs administered to people with viral diseases, while his colleague Liam decided to study other types of drugs, such as antibiotics and anticoagulants. Given the paragraph above, please answer correctly the following question: Which colleague studied more about the development of antiviral drugs?\n\nA: Bob\n\n\nProblem: Given the question: David is interested in geology. One day he was studying about how the earth's crust works. He specifically noticed two lithosphere, lithosphere A an lithosphere B. Lithosphere A is an oceanic lithosphere while lithosphere B is an overriding lithosphere. He also noticed two distinct zones, zone A an zone B. Zone A is a subduction zone, but zone B is not a subduction zone. Just reading about geology made David excited. Now, he wants to visit places with high volcanic activity. For that he chose place C. To compare with place C geology he would also visit place D, which does not have any volcanic activity. Given the paragraph above, please answer correctly the following question: Which zone may not involve metamorphisim, zone A or zone B?\n++++++++++++++++++++++++++++++++\nThe answer is:\nzone B\n\n\nProblem: John is studying the different states of matter. Today, he has a matter in three states in front of him, state A, state B, and state C. State A is in solid state. State B is in liquid state. And, state C is in gaseous state. He needs to determine the properties of each state. Given the paragraph above, please answer correctly the following question: In which state the particles are less free, state A or state B?\n\nA:",
"role": "user"
},
{
"content": "state A",
"role": "assistant"
}
] |
flan_v2
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flan_v2_83906
|
[
{
"content": "Detailed Instructions: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. You are also given 4 or 5 answer options (associated with \"A\", \"B\", \"C\", \"D\", \"E\"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.\nSee one example below:\nProblem: If k is an integer and \\(k = \\frac { m } { 3 } \\) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.\n(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III\nSolution: B\nExplanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3. \n\nProblem: If \\(a^2 - 16 = b^2\\), and \\(2a = 10\\), which of the following could be a value for b?\n(A)\\(-1\\) (B)0 (C)1 (D)2 (E)3\nSolution:",
"role": "user"
},
{
"content": "E",
"role": "assistant"
}
] |
cot
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cot_72559
|
[
{
"content": "question: How much is 80% of 40 is greater than 4/5 of 15?\nOptions:\n(A) 12\n(B) 20\n(C) 18\n(D) 12\n(E) 81\nanswer: Stream of consciousness: (80/100) * 40 – (4/5) * 15\n32 - 12 = 20 The answer is (B).\nq: If n is an integer, then the least possible value of |15 - 8n| is?\nOptions:\n(A) 0\n(B) 2\n(C) 1\n(D) 3\n(E) 5\na: Stream of consciousness: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. The answer is (C).\nquestion: 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 2 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) 22\n(E) 6\nanswer: Stream of consciousness: 21-12 < no of hrs < 21-2\n9< no of hrs < 19. The answer is (C).\nq: Suppose you have three identical prisms with congruent equilateral triangles as the end-polygons. Suppose you attach them by the rectangular faces so they are perfectly aligned. There will be some large faces created by two or more co-planar faces of the individual prisms: count each such large face as one. Given that, how many faces does the resultant solid have\nOptions:\n(A) 4\n(B) 6\n(C) 9\n(D) 10\n(E) 12\na: Stream of consciousness: To arrange them as described I did as follows on my scratch paper (see the file attached), where I counted 4 sides The answer is (A).\nquestion: A motorcyclist goes from Bombay to Pune, a distance of 224 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?\nOptions:\n(A) 1:2\n(B) 1:5\n(C) 4:7\n(D) 1:1\n(E) 1:8\nanswer: Stream of consciousness: T = 224/32 = 7 h\nT = 7 - 3 = 4\nTime Ratio = 7:4\nSpeed Ratio = 4:7 The answer is (C).\nquestion: 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\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: 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 is (D).",
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flan_v2
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flan_v2_52436
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[
{
"content": "Q: Read the article and select the best answer. Article: Do you have to be very smart to live a happy life? The character of McDull tells you that this is not true. He is famous for having a birthmark on his right eye. He is not very clever, but he has a heart of gold. He is also happy, with lots of dreams. McDull wanted to visit the Maldives . But his mother didn't have enough money for a trip there. So she lied to him and took him to a place called Hong Kong. The place has a sign that says, \"Go to the Maldives.\" It made McDull very happy. He thought he was really excited in the Maldives! McDull is just a common pig. He has many dreams, but they never come true. That doesn't stop him trying. McDull lives his life in a simple and happy way. His idea towards life is \"Never give up\". The cartoon pig character was created in Hong Kong by Alice Mark and Brian Tse. McDull first showed up as a character in the McMug comics. McMug is another cartoon pig. But McDull is more popular with a huge number of fans everywhere! Question: McDull is famous for _ . Options: A: having a birthmark on his left eye B: having a birthmark on his right eye C: his wonderful character D: visiting the Maldives\nA: B\n\n\nQ: Read the article and select the best answer. Article: A good way to pass the exam is to work hard every day. You may not pass an exam if you word hard all the time before the exam. If you are getting ready for an English exam, do not only learn grammar rulers . Try to read stories in Enlish and speak English _ you can. Before you start the exam, read the questions carefully. Try to understand the exact meaning of each question before you pick up your pen to write. When you finish you exam, read you answers once more, correct the mistake if there are any and make sure that you don't miss anything out. Question: Only learning rules of grammar _ to passs an English exam. Options: A: is enough B: is not enough C: is good D: is not good.\nA: B\n\n\nQ: Read the article and select the best answer. Article: Once a clever man was crossing a turbulent river. He wished to amuse himself by talking to the boatman. \"Do you know mathematics?\" he asked. \"No sir.\" answered the boatman. \"Then you have lost one quarter of your life,\" said the wise man. \"Do you know history?\" \"No sir.\" answered the boatman. \"Then you have lost three quarters of your life.\" Just then a sudden gust of wind overturned the boat. \"Do you know how to swim?\" asked the boatman. \"No,\" answered the wise(=\"clever)\" man. \"Well then,\" replied the boatman, \"you have lost your whole life.\" Question: The clever man knew a lot of knowledge except _ . Options: A: mathematics B: philosophy C: history D: swimming\nA: D\n\n\nQ: Read the article and select the best answer. Article: Now, there is a new-type school in New York, which has no everyday lessons, no class teachers and even no school buildings. It is called \"City-as-School\". The name just means the city itself is the place where students learn their lessons. They are from the age of 15 to 18. The students choose areas of work which interest them. Then they help to do that work. One girl spends her week in a government office helping the public with problems like housing. Then she goes to help in a theatre for a day and she spends a week for first-year courses at college. Well, students have to pass Maths and science exams before they enter the \"school\". These subjects are not easy to provide in\"City-as-School\". Teachers watch the progress of the students. The success rate is high. 80% of the students go to college after the \"City-as-School\". The students like the duty of their work. They have the sense of purpose. They know a lot about different kinds of work in the city. One of the students, Lizette Martinez, writes \" I want to say that I do not know where I would be right now if I had never become part of City-as-School. Leaving my regular high school and going to City-as-School was the best decision I have ever made. The way the school works to get you to go out there and learn different fields instead of sitting in a classroom is wonderful. For all those who are in between school and dropping out, go to CAS and it will change your life forever.\" City-as-School High School is the nation's leading external learning or experiential learning model for high school students. Question: What do students do in\"City-as-School\"most of the time? Options: A: They do whatever they like. B: They learn Maths and Science. C: They help with work in a certain area. D: They learn all the college courses.\n",
"role": "user"
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{
"content": "A: C",
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cot_78054
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[
{
"content": "Rationale: In 10s the train crosses the pole and in 40 sec the train crosses one more stationary train\nIn 30 sec the train travels a distance of 300 mtrs\nSpeed = 300/30 = 10 m/s = 10 * 18/5 = 36 kmph\nThe answer: (A)\nQuestion: A Train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. Find the speed of the train.\nOptions:\n(A) 36kmph\n(B) 42kmph\n(C) 48kmph\n(D) 52kmph\n(E) 64kmph\n\n\nReasoning: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.\nAns: (B)\nQuestion: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 2397\n(B) 2401\n(C) 2411\n(D) 2423\n(E) None of the above\n\n\nRationale: Area of an equilateral triangle = √3/4 S2\nIf S = 16, Area of triangle = √3/4 * 16 * 16 = 64√3 cm2;\nThe answer: (D)\nQuestion: What is the are of an equilateral triangle of side 16 cm?\nOptions:\n(A) 64√6\n(B) 64√9\n(C) 64√4\n(D) 64√3\n(E) 64√2\n\n\nReasoning: 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\nAns: (C)\nQuestion: 10 books are placed at random in a shelf. The probability that a pair of books will always be together is?\nOptions:\n(A) 1/0\n(B) 1/3\n(C) 1/5\n(D) 1/2\n(E) 1/1\n\n\nRationale: 36^2 = 6*6*6*6 = 2^4*3^4\nTotal factors = (4+1)*(4+1) = 5*4 = 20\nThe answer: (C)\nQuestion: How many factors does 34^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 20\n(D) 25\n(E) 26\n\n\nRationale: The amount of money the bank received was (250 + 5+ y) dollars. The $5 service fee as a fraction of the amount received was, therefore, 5/(255+y).\nThe answer: (A)\n",
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{
"content": "Question: A bank lent $250 to a customer for a one-month loan. At the end of the month, the bank received y dollars more than than the amount that was lent due to interest. The bank also charged a service fee $5. In terms of y, what fraction of the amount that the bank received was the service fee?\nOptions:\n(A) 5/(255+y) \n(B) 5y-1\n(C) 5y/(250-y) \n(D) 5/(250-y) \n(E) 5y-250",
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cot
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cot_63962
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{
"content": "q: Find a a prime number from the options below.\nOptions:\n(A) 58\n(B) 59\n(C) 60\n(D) 62\n(E) 64\na: Stream of consciousness: Clearly, 59 is a prime number. The answer is (B).\nquestion: Find the product of the localvalue and absolutevalue of 1 in 20168?\nOptions:\n(A) 100\n(B) 110\n(C) 151\n(D) 120\n(E) 140\nanswer: Stream of consciousness: Local value of 1 = 1 x 100 = 100\nPlace value of 1 = 1\nThere fore = 1 x 100 = 100 The answer is (A).\nq: Look at this series: 0.7, 2.1, ____, 18.9, 56.7, ... What number should fill the blank?\nOptions:\n(A) 6.3\n(B) 5.3\n(C) 6.2\n(D) 6.1\n(E) 4.3\na: Stream of consciousness: This is a simple multiplication series. Each number is 3 times greater than the previous number. The answer is (A).\nquestion: The average of first 10 even numbers is?\nOptions:\n(A) 18\n(B) 16\n(C) 15\n(D) 11\n(E) 19\nanswer: Stream of consciousness: Sum of 10 even numbers = 10 * 11 = 110\nAverage = 110/10 = 11 The answer is (D).\nq: If n is an integer, then the least possible value of |35 - 6n| is?\nOptions:\n(A) 2\n(B) 3\n(C) 5\n(D) 0\n(E) 1\na: Stream of consciousness: |35 - 6n| represents the distance between 35 and 6n on the number line. Now, the distance will be minimized when 6n, which is multiple of 6, is closest to 35. Multiple of 6 which is closest to 35 is 36 (for n = 6), so the least distance is 1: |35 - 36| = 1. The answer is (E).\nq: In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?\nOptions:\n(A) 1/2\n(B) 1\n(C) 2\n(D) 3\n(E) 5\na:",
"role": "user"
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{
"content": "Stream of consciousness: We can straightaway eliminate A & B, since the expression will always yields an integer for those values\nOut of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4. The answer is (E).",
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cot
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cot_61045
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[
{
"content": "q: A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start.\nWhat is the expected amount of time it will take for the rat to finish the maze?\nOptions:\n(A) 5min\n(B) 6min\n(C) 7min\n(D) 8min\n(E) 9min\na: Stream of consciousness: Each path has an equal chance of occurring and if B or D are chosen they will just add 8 or 2 minutes to the time because the rat must restart the maze: time = (1/4)*5 + (1/4)*(8 + time) + (1/4)*(3) + (1/4)*(2 + time). Time = 9 minutes. The answer is (E).\nquestion: A pipe can fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17\n(B) 16\n(C) 70\n(D) 13\n(E) 12\nanswer: Stream of consciousness: 1/20 - 1/28 = 1/70\n70 minutes The answer is (C).\nq: If one type of tobacco costs Re.1/- per kg and other type costs Rs. 5/- per kg. What quantity of first type and second type are mixed so that 100 kg of mixture costs Rs. 100/-?\nOptions:\n(A) 50 kg\n(B) 100 kg\n(C) 150 kg\n(D) 200 kg\n(E) 250 kg\na: Stream of consciousness: 100 kg of first type. The answer is (B).\nquestion: 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\nanswer: Stream of consciousness: 5 × 5 × x = 100 × 100 × 5 ⇒ x = 2000. The answer is (D).\nq: If M is the least positive integer that is divisible by every integer from 4 to 12 inclusive, then M/11 is =\nOptions:\n(A) 40320\n(B) 27720\n(C) 20160\n(D) 6720\n(E) 2520\na: Stream of consciousness: The integer should be divisible by: 4, 5, 6, 7, 8, 9, 10, 11 and 12, that is 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 3*2^2. The least common multiple of these integers is the product of 11, 7, 5, 3^2 and 2^3. Then, M/11 is (11 * 7 * 5 * 3^2 * 2^3)/11 = 7*5*9*8 = 2520. The answer is (E).\nq: What should come in place of the question mark (?) in the following equation?\n5978 + 6134 + 7014 = ?\nOptions:\n(A) 19226\n(B) 16226\n(C) 19216\n(D) 19126\n(E) None of these\na:",
"role": "user"
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{
"content": "Stream of consciousness: ? = 5978 + 6134 + 7014 = 19126 The answer is (D).",
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cot
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cot_61098
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[
{
"content": "q: How should be added in order to make 2345672 this number is divisible by 9?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 9\na: Sum of the numbers 2345672 is 29 which is not multiple of 9\nAdd 7 which makes the sum 36 which is multiple of 9\nSo digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9) The answer is (C).\n--\nq: A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?\nOptions:\n(A) 4 1/3 hrs\n(B) 7 hrs\n(C) 8 hrs\n(D) 14 hrs\n(E) 15 hrs\na: Work done by the tank in 1 hour = (1/2 - 1/3) = 1/14 Leak will empty the tank in 14 hrs. The answer is (D).\n--\nq: The speed of a boat in upstream is 100 kmph and the speed of the boat downstream is 130 kmph. Find the speed of the boat in still water and the speed of the stream?\nOptions:\n(A) 170, 10 kmph\n(B) 35, 27 kmph\n(C) 50, 60 kmph\n(D) 115, 15 kmph\n(E) 45, 65 kmph\na: Speed of the boat in still water = (100+130)/2 = 115 kmph. Speed of the stream = (100-130)/2 = 15 kmph The answer is (D).\n--\nq: 30 pens and 75 pencils were purchased for 510. If the average price of a pencil was 2.00, find the average price of a pen.\nOptions:\n(A) 10\n(B) 11\n(C) 12\n(D) 13\n(E) 14\na:",
"role": "user"
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{
"content": "Since average price of a pencil = 2\n∴ Price of 75 pencils = 150\n∴ Price of 30 pens = (510 – 150) = 360\n∴ Average price of a pen = 360⁄60 = 12 The answer is (C).\n--",
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flan_v2
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flan_v2_89806
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[
{
"content": "Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. You are also given 4 or 5 answer options (associated with \"A\", \"B\", \"C\", \"D\", \"E\"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.\nTeacher: Now, understand the problem? If you are still confused, see the following example:\nIf k is an integer and \\(k = \\frac { m } { 3 } \\) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.\n(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III\nSolution: B\nReason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3. \n\nNow, solve this instance: For how many integers, \\(x\\), is the function \\(f(x) = \\sqrt { x^2 - 9 } \\) undefined?\n(A)None (B)4 (C)5 (D)7 (E)Infinitely many\nStudent:",
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{
"content": "C",
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cot_62496
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[
{
"content": "Rationale: 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.\nThe answer: (E)\nQuestion: 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\n\n\nReasoning: If students are A, B, C, D, E and F; we can have 6C3 groups in all. However, if we have to count groups in which a particular student (say A) is always selected we would get 5C2 = 10 ways of doing it.\nAns: (C)\nQuestion: A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?\nOptions:\n(A) 6\n(B) 8\n(C) 10\n(D) 12\n(E) 15\n\n\nRationale: Multiple of 6 and 7 with difference 1 are 36 and 35\nSo the number of students in the class is 37\nThe answer: (C)\nQuestion: 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\n\n\nReasoning: I = (300*9*6)/100 = 162\nAns: (C)\nQuestion: Find the simple interest on Rs.300 for 9 months at 6 paisa per month?\nOptions:\n(A) 142\n(B) 152\n(C) 162\n(D) 172\n(E) 182\n\n\nRationale: Number of ways of selecting 3 people out of 10 people = 10C3\nIn the three members George will always be there in the team. At this step we have vacancy for 2 more members and 9 members are available. Lina cannot be there in the team. So 2 members have to be selected and the number of available members = 9 - Nina = 8\nNumber of ways to form a 3 member team that includes George and excludes Nina = 8C2\nProbability = 8C2/10C3 = 28/120\nThe answer: (C)\nQuestion: From a Group of 10 People, Including George and Nina, 3 people are to be selected at random to work on a certain project. What is the probability that 3 people selected will include George but not Nina\nOptions:\n(A) 5/56\n(B) 9/56\n(C) 28/120\n(D) 21/56\n(E) 25/56\n\n\nRationale: Using question number 11 and 12, we get the probability as\n1 - (1/36 + 5/9) = 5/12\nThe answer: (B)\n",
"role": "user"
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"content": "Question: Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is\nOptions:\n(A) 5/18\n(B) 5/12\n(C) 5/19\n(D) 5/15\n(E) 5/11",
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cot
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cot_59671
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[
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"content": "Reasoning: The data related to the first tank A is not necessary. As you can see, the capacity that gets filled in the tank B after each hour is doubled. So If the tank is 1/32nd part is full after 21 hours, it is 1/16th part full after 22 hours, 1/8th part full after 23 hours, 1/4th part full after 24 hours, 1/2 full after 25 hours, completely full after 26 hours.\nAns: (D)\nQuestion: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 liters, second hour it has 20, third hour it has 40 and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?\nOptions:\n(A) 22\n(B) 28\n(C) 269\n(D) 26\n(E) 82\n\n\nRationale: P = P(A wins, B wins, C loses) + P(A wins, B loses, C wins) + P(A loses, B wins, C wins) = 1/5*3/8*5/7 + 1/5*5/8*2/7 + 4/5*3/8*2/7 = 7/40.\nThe answer: (C)\nQuestion: Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?\nOptions:\n(A) 3/140\n(B) 1/28\n(C) 7/40\n(D) 3/35\n(E) 5/40\n\n\nReasoning: According to the information in the question the maximum range would be between 510 and 780(270). The minimum range would be the greatest range for any one individual, which is listed in the problem as 130. So the difference between these would be 270-130 or 140.\nAns: (D)\nQuestion: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 510 or over 780. If the individual ranges of the three people's scores in those 3 practice tests were 20, 90 and 130, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 70\n(B) 80\n(C) 90\n(D) 140\n(E) 170\n\n\nRationale: Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.\nThe answer: (C)\nQuestion: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?\nOptions:\n(A) 4\n(B) 5\n(C) 8\n(D) 10\n(E) 12\n\n\nReasoning: The total of ten numbers = 10X210 = 2100\nThe total of first 5 and last 4 numbers is = 5 X 40+4 X 200 = 1000\nSo, the middle number is (2100 - 1000 ) = 1100\nAns: (E)\nQuestion: The average of ten numbers is 210. The average of first five numbers is 40 and the average of last four numbers is 200. What is the middle number?\nOptions:\n(A) A) 200\n(B) B) 2000\n(C) C) 800\n(D) D) 2100\n(E) E) 1100\n\n\nReasoning: If only 12 people shaked their hands, then total hand shakes are 12C212C2 = 66\nAns: (A)\n",
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"content": "Question: 49 members attended the party. In that 22 are males, 27 are females. The shake hands are done between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?\nOptions:\n(A) 66\n(B) 291\n(C) 26\n(D) 29\n(E) 11",
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cot_92777
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[
{
"content": "q: A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?\nOptions:\n(A) 240 meters\n(B) 260 meters\n(C) 420 meters\n(D) 600 meters\n(E) Cannot be determined\na: Stream of consciousness: Speed of the train in metres/sec = 72000/3600 = 20\nDistance travelled by train to cross the platform = 30 * 20 = 600 = Length of train + Length of platform\nDistance travelled by train to cross the man = 17 * 20 = 340 = Length of train\nLength of platform = 600 - 340 = 260 The answer is (B).\nquestion: If x<0, y>0, and |x| < |y|, which of the following must be true?\nOptions:\n(A) x > y\n(B) y^2 > x^2\n(C) x^3 > y^2\n(D) –x < y\n(E) x < –y\nanswer: Stream of consciousness: Correct Answer: (E)\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus –x < y is the same statement as |x| > |y|, and (D) must be true. The answer is (D).\nq: An businessman earns an income of Re 2 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 20th day of business, he earns an income of:\nOptions:\n(A) 21\n(B) 22\n(C) 36\n(D) 20\n(E) 30\na: Stream of consciousness: 2nd day he earns = 2(2 – 2)\n3rd day he earns = 2(3 – 2)\nOn 20th day he earns 2(20 -2) = 36 rupees The answer is (C).\nquestion: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\nOptions:\n(A) 44\n(B) 96\n(C) 128\n(D) 144\n(E) 168\nanswer: Stream of consciousness: A frame 2 inches wide is placed around a rectangular picture with dimensions 8 inches by 12 inches. What is the area of the frame, in square inches?\n(12*16)-(8*12) = 96 The answer is (B).\nq: A password for a computer is six digits from 0 and 9. The six digit number is a prime number. What is the approximate probability that the last digit is a 3?\nOptions:\n(A) 1/4\n(B) 1/6\n(C) 1/10\n(D) 1/20\n(E) 1/50\na: Stream of consciousness: If the last digit is 0, 2, 4, 6, or 8, the number is even and therefore not prime. If the last digit is 5, the number is divisible by 5 and therefore not prime. The only possibilities are 1, 3, 7, and 9. So the probability is approximately 1/4 (answer A). We say approximately because there is a certain degree of randomness in the distribution of prime numbers. The answer is (A).\nq: A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?\nOptions:\n(A) 5 days\n(B) 8 days\n(C) 6 days\n(D) 3.15 days\n(E) 2.75 days\na:",
"role": "user"
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{
"content": "Stream of consciousness: 1/8 + 1/14 = 11/56\n56/11 = 5 days The answer is (A).",
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cot
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cot_92302
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[
{
"content": "q: There are 6 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 15 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) 45\n(D) 60\n(E) 120\na: Each person is one participant of 6 games. So there are in all 6*15 = 90 instances of one participant games. But each game has 2 participants so total number of games = 90/2 = 45 The answer is (C).\n--\nq: If n is an integer, then the least possible value of |15 - 8n| is?\nOptions:\n(A) 0\n(B) 2\n(C) 1\n(D) 3\n(E) 5\na: |15 - 8n| represents the distance between 15 and 8n on the number line. Now, the distance will be minimized when 8n, which is multiple of 8, is closest to 15. Multiple of 8 which is closest to 15 is 16 (for n = 2), so the least distance is 1: |15 - 16| = 1. The answer is (C).\n--\nq: 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) 278\n(B) 277\n(C) 278\n(D) 450\n(E) 272\na: 10 * 150 = 1500\n3 * 100 + 5 * 150 = 1050\n1500 – 1050 = 450 The answer is (D).\n--\nq: In how many different ways can the letters of the word \"CLAIM\" be rearrangement?\nOptions:\n(A) 100\n(B) 120\n(C) 130\n(D) 143\n(E) 145\na:",
"role": "user"
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{
"content": "The total number of arrangements is\n5P5 = 5! = 120 The answer is (B).\n--",
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flan_v2
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flan_v2_55312
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[
{
"content": "Q: John is an automotive enthusiast. He was visiting the auto show in his city. Two cars caught his attention, car A and car B. Car A was newer and it had catalytic converter. On the contrary, car B was older and didn't have catalytic converter. But he found the design of older car more attractive. Given the paragraph above, please answer correctly the following question: Which car would emit less carbon monoxide, car A or car B?\nA: car A\n\nQ: David is a doctor with the city hospital. Today, he is seeing four patients, patient A, patient B, patient C, and patient D. All four patients are expectant mothers. Moreover, patient A is over thirty five years old, but patient B is under thirty five years old. Patient C has family history of genetic disorder, but patient D does not have any family history of genetic disorder. David needs to prescribe appropriate treatment according to each patient's condition. Given the paragraph above, please answer correctly the following question: Would patient D be less or more at risk of genetic defects in the fetus than patient C?\nA: less\n\nQ: Milton has just discovered two new planets while looking through his telescope. Luckily, he has invented a device that allows him to analyze far away planets from the comfort of his own home. He boots up the device and discovers that while these two planets are very similar, planet A has much more carbon dioxide in its atmosphere than planet B. While looking through his telescope, he is also able to see that there is the same race of intelligent creatures on both planets. Milton plans to write to his local observatory about his discovery. Given the paragraph above, please answer correctly the following question: Which planet is experiencing more global warming?\nA: planet A\n\nQ: Mike is studying for his physics exam. He realizes that the best way to learn physics is to solve problems. To that end, he needs to to convert pressure of objects from one unit to another. In one problem, four scenarios are given for the same object, scenario A, scenario B, scenario C, and scenario D. In scenario A the pressure is given in Pascals. In scenario B the pressure is given in the atm. In scenario C the pressure is given in torr. Lastly, in scenario D the pressure is given in psi. Given the paragraph above, please answer correctly the following question: In which scenario SI unit is not used, scenario C or scenario D?\nA:",
"role": "user"
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{
"content": "scenario D",
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cot
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cot_76158
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[
{
"content": "question: The average of 13 numbers is 60. Average of the first 7 of them is 55 and that of the last 7 is 61. Find the 8th number?\nOptions:\n(A) 32\n(B) 83\n(C) 45\n(D) 53\n(E) 64\nanswer: Stream of consciousness: Sum of all the 13 numbers = 13 * 60 = 780\nSum of the first 7 of them = 7 * 55 = 385\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 385 - 780 = 32. The answer is (A).\nq: A certain league has five divisions. The respective divisions had 6, 7, 8, 9 and 11 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) 81\n(B) 83\n(C) 85\n(D) 86\n(E) 89\na: Stream of consciousness: Overall, there can be 81 minuses. Tus, it is The answer is (A).\nquestion: How many factors does 25^2 have?\nOptions:\n(A) 2\n(B) 8\n(C) 24\n(D) 25\n(E) 26\nanswer: Stream of consciousness: 36^2 = 6*6*6*6 = 2^4*3^4\nTotal factors = (4+1)*(4+1) = 4*2 = 8 The answer is (B).\nq: If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K – 5 and 5K + 1 is 30, what is the value of K?\nOptions:\n(A) 11\n(B) 15 3/4\n(C) 22\n(D) 23\n(E) 25 3/10\na: Stream of consciousness: K + 2K +3 + 3K - 5 + 5K +1 = 11K -1\n(11K -1)/4 = 30\n11K = 30 * 4 +1 = 120 +1 = 121\nK = 121 / 11 = 11. The answer is (A).\nquestion: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 1560\n(B) 1561\n(C) 1559\n(D) 1557\n(E) None of the above\nanswer: Stream of consciousness: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60. The answer is (B).\nquestion: What percent is 120 of 70?\nOptions:\n(A) 133 1/3 %\n(B) 134 1/3 %\n(C) 135 1/3 %\n(D) 140 1/3 %\n(E) 171 3/7 %\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: 120/70 = 12/7\n12/7 × 100 = 1200/7 = 171 3/7 % The answer is (E).",
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cot
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cot_82298
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[
{
"content": "Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 10\n(B) 25\n(C) 30\n(D) 45\n(E) 50\nAnswer: Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8.\nThe answer is (C).\n\nQuestion: The average of seven numbers is 15. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 6\n(B) 29\n(C) 31\n(D) 34\n(E) 35\nAnswer: The total of seven numbers = 7X15 = 105\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (105 - 99 ) = 6\nThe answer is (A).\n\nQuestion: X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 5\n(B) 4\n(C) 6\n(D) 7\n(E) 8\nAnswer: Work done by X in 1 day = 1/18\nWork done by Y in 1 day = 1/15\nWork done by Y in 10 days = 10/15 = 2/3\nRemaining work = 1 – 2/3 = 1/3\nNumber of days in which X can finish the remaining work = (1/3) / (1/18) = 6\nThe answer is (C).\n\nQuestion: The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?\nOptions:\n(A) 6 2/3%\n(B) 6 2/9%\n(C) 6 3/3%\n(D) 9 2/3%\n(E) 7 2/3%\nAnswer:",
"role": "user"
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{
"content": "4/9 P = (P*R*R)/100\nR = 20/3 = 6 2/3%\nThe answer is (A).",
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cot
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cot_86428
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[
{
"content": "question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\nOptions:\n(A) 2800\n(B) 2500\n(C) 3000\n(D) 3500\n(E) 4000\nanswer: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144\n3x/100 + 200 – 5x/100 = 144\n2x/100 = 56 è x = 2800 The answer is (A).\nq: How many 4 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?\nOptions:\n(A) 20\n(B) 40\n(C) 120\n(D) 60\n(E) 10\na: Stream of consciousness: Vowel: E O\nConsonants: V R M N T\nFirst letter can be filled in 2 Ways ( As the question states that first letter has to be a vowel)\nFifth letter can be filled in 1 Ways ( As the question states that the last letter has to be a vowel)\nNow since each letter can be used only once, and 2 letters out of 7 letters are already used in First and fourth letter\nSecond letter can be filled in 5 Ways\nThird letter can be filled in 4 Ways\nSo, Total number of ways = 2 Ways x 5 Ways x 4 ways x 1 ways = 40 The answer is (B).\nquestion: 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\nanswer: Stream of consciousness: 1 to 9 = 9 * 9 = 81\n1 to 5 = 5 * 10 = 50\n5 to 9 = 5 * 8 = 40\n5th = 50 + 40 = 90 – 81 = 9 The answer is (A).\nq: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?\nOptions:\n(A) (a) 4\n(B) (b) 7\n(C) (c) 11\n(D) (d) 13\n(E) (e) 17\na: Stream of consciousness: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1. The answer is (C).\nquestion: 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\nanswer: Stream of consciousness: T = 70/36 * 18/5 = 7 sec The answer is (D).\nquestion: How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?\nOptions:\n(A) 496\n(B) 486\n(C) 1084\n(D) 728\n(E) 628\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: The number of single digit numbers = 2\nThe number of 2 digit numbers = 2 × 3 = 6\nThe number of 3 digit numbers = 2 × 3 × 3 = 18\nThe number of 4 digit numbers = 2 × 3 × 3 × 3 = 54\nThe number of 5 digit numbers = 2 × 3 × 3 × 3 × 3 = 162\nThe number of 6 digit numbers = 2 × 3 × 3 × 3 × 3 × 3 = 486\nTherefore, the total numbers = 728 The answer is (D).",
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cot
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cot_83115
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[
{
"content": "Reasoning: Speed downstream = d/t = 75/(5) = 15 kmph\nSpeed upstream = d/t = 45/(5) = 9 kmph\nThe speed of the stream = (15 - 9)/2 = 3 kmph\nAns: (D)\nQuestion: A man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 3 kmph\n(E) 1 kmph\n\n\nRationale: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.\nThe answer: (B)\nQuestion: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 1961\n(B) 1981\n(C) 1991\n(D) 1971\n(E) None of the above\n\n\nReasoning: Data Inadequate. As No relation is given among Randhir and Nitin.\nAns: (D)\nQuestion: Sukhbir is taller than Randhir but not as tall as Ajit. If Manoj is taller than Nitin, who is shorter than Ajit, then who among them is the shortest?\nOptions:\n(A) Nitin\n(B) Sukhbir\n(C) Manoj\n(D) Data inadequate\n(E) None of these\n\n\nRationale: Profit = q\nProfit to company founder = 2q/3\nProfit to other partners = q/3\nNumber of other partners = 3\nProfit to each partner = (q/3)/3 = q/9\nThe answer: (A)\nQuestion: Last year, Company X made q dollars in profit. two Thrid 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/9\n(B) q/5\n(C) q/6\n(D) q/7\n(E) q/8\n\n\nReasoning: Maximum points of intersection between n different circles = n*(n - 1) = 15*14 = 210\nAns: (E)\nQuestion: There are different 15 circles. What is the number of the greatest possible points with which the circles intersect?\nOptions:\n(A) 390\n(B) 100\n(C) 110\n(D) 180\n(E) 210\n\n\nReasoning: 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).\nAns: (C)\n",
"role": "user"
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{
"content": "Question: 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",
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cot
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cot_70175
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[
{
"content": "question: 4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?\nOptions:\n(A) 2277\n(B) 2882\n(C) 2800\n(D) 2677\n(E) 2211\nanswer: Stream of consciousness: (x*3*1)/100 + [(4000 - x)*5*1]/100 = 144\n3x/100 + 200 – 5x/100 = 144\n2x/100 = 56 è x = 2800 The answer is (C).\nq: If x>0, y>0, and |x| > |y|, which of the following must be true?\nOptions:\n(A) x > y\n(B) y^2 > x^2\n(C) x^3 > y^2\n(D) –x < y\n(E) x < –y\na: Stream of consciousness: Correct Answer: (E)\nLet’s go through each answer choice: (A) can never be true, since no negative is greater than a positive. (B) doesn’t have to be true – consider what would happen if x = -2 and y = 1. (C) can never be true, as x^3 must be negative, and y^2 must be positive. (D) can never be true, since if x < 0, -x is the same thing as |x|, and |x| > y. (E) can be manipulated by multiplying both sides by -1, which gives us –x > y. Remember that x < 0, so –x = |x|, and y is positive, so |y| = y. Thus x > y is the same statement as |x| > |y|, and (A) must be true. The answer is (A).\nquestion: 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\nanswer: Stream of consciousness: 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. The answer is (A).\nq: 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\na: Stream of consciousness: D = 100 + 180 = 280\nS = 36 * 5/18 = 10 mps\nT = 280/10 = 28 sec The answer is (B).\nquestion: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?\nOptions:\n(A) (5y-1) /(755-y) \n(B) 5/(755+y) \n(C) 5y/(755+y) -1\n(D) 5y/(755+y) \n(E) 5y\nanswer: Stream of consciousness: The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y). The answer is (B).\nquestion: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 3 days. In how many days can they complete the remaining work?\nOptions:\n(A) 4/3 days\n(B) 2 days\n(C) 8 days\n(D) 3 days\n(E) 9 days\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: Work done by A in 3 days = 3/5\nRemaining work = 2/5\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\nRemaining work = 2/5 * 10/3 = 4/3 days. The answer is (A).",
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flan_v2
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flan_v2_65248
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[
{
"content": "Q: Write a multi-choice question for the following article, with the given choices and answer: Article: China Science and Technology Museum was opened to the public in September 1988. But the second project was completed in May 2000. Its main task is to spread knowledge of science and technology among the public. The activities of China Science and Technology Museum include popular science exhibitions, Astro-vision film shows, training education programs and experiment exhibition programs. The museum has an area of 40,000 square metres, of which 16,000 square metres is for exhibition halls. The Astro-vision Theatre is one of the museum's major attractions and also one of the largest Astro-vision theatres in the world. It makes visitors feel they are in actual events rather than see a film. Many great science activities are often held at the museum, and the museum wants to be an important window to the world. Options: A It's a national museum of science and technology. B It's a window of Chinese new science and technology to the world. C Exhibition halls of the museum have an area of 40,000 square metres. D The museum has a large Astro-vision theatre. Answer: C Exhibition halls of the museum have an area of 40,000 square metres. Question:\nA: Which is NOT true according to the passage?\n\nQ: Write a multi-choice question for the following article, with the given choices and answer: Article: Tommy and his mother go shopping today. Tommy's father likes apples very much. They buy some red apples for him. Tommy's mother likes yellow bananas, but the bananas are green. \"Look! The strawberries are very nice, Mom. Do you like them?\" Tommy says to his mother. \"Yes, I like strawberries very much.\" Tommy's mother buys some for herself . The oranges are very nice. Tommy's mother buys some for Tommy. He likes oranges very much. They need some vegetables. The vegetables in the supermarket are very good. They buy some tomatoes, cabbages and carrots. Tommy doesn't like carrots, but his parents like it. They like carrots very much. They buy lots of carrots. Options: A herself B Tommy C Tommy's father D Tommy's sister Answer: B Tommy Question:\nA: Tommy's mother buys oranges for _ .\n\nQ: Write a multi-choice question for the following article, with the given choices and answer: Article: There was a famous church in London. It was 110 meters high. The center of the church was like a bell. The ceiling of the church was painted by a famous artist. They built a platform so that the artist could put up a ladder on it and paint the ceiling. The platform was about 70 meters over the ground. One day the artist was working hard and nearly finished one popular corner of the ceiling. Also on the platform was his assistant , who was mixing paints. The artist stepped back so that he could see how his work was doing. To have a better look at his painting, he stepped back again. _ \"What do you think you are doing?\" he shouted angrily. \"Are you mad ?\" His assistant replied, \"I saw you walking backwards to have a better look at your painting. But you didn't notice that you reached the very edge of the platform. You were in great danger. I wanted to make you move forwards. If I had not made you run forwards, you would have fallen backwards off the edge of the platform.\" Options: A He would be angry with what the assistant had done. B He would be thankful to the assistant for saving his life. C He would punish the assistant for having destroyed his painting. D He wouldn't allow the assistant to work with him any more. Answer: B He would be thankful to the assistant for saving his life. Question:\nA: After reading the passage, what do you think the artist would probably do?\n\nQ: Write a multi-choice question for the following article, with the given choices and answer: Article: Hello, boys and girls! My name is Paul. I'm 14. Tommy is my brother. He is 15. I have two good friends, Peter and Barry. Peter is 13 and Barry is 12. We all like playing sports. Peter's _ sport is baseball. He plays baseball every day. He has 9 baseballs and 6 baseball bats. Barry likes ping-pong. He has 10 ping-pong balls and 5 ping-pong bats. I like basketball and I have 3 basketballs. The four of us all like soccer and we play soccer at school after class. Tommy and I like watching TV, but our parents don't let us watch TV every day. Options: A playing soccer B playing basketball C watching D playing baseball Answer: A playing soccer Question:\nA:",
"role": "user"
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{
"content": "The four boys all like _ .",
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flan_v2
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flan_v2_75878
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[
{
"content": "Q: In this task, you're given an article, a question which often contains a blank and four options (associated with \"A\", \"B\", \"C\", \"D\"). Your task is to find the correct answer (from the given options) for the question from the given article and return one of the options from \"A\", \"B\", \"C\", and \"D\". Do not generate anything else apart from one of the following characters: \"A\", \"B\", \"C\", \"D\". There is only one correct answer for each question.\nArticle: I have nothing to say about whether or not \"A Day Without Immigrants\" had a positive or negative effect on the question of how the federal government should deal with the huge population of undocumented illegal immigrants in this country. I'll leave that question to others. Regardless of how you feel about the event, one conclusion is obvious. Using the theme of\" A Day Without\" as a way to focus national attention on a particular subject is a great idea, and could serve as a method for increasing public awareness about other issues that affect daily life in America. Here are my top three examples: \"A Day Without Speeding.\" How hard could this be? If all drivers would strictly obey every posted speed limit on highways, downtown, on neighborhood streets, and in parking lots for one 24-hour cycle, the benefits would be huge. \"A Day Without Losing Your Temper.\" A higher degree of difficulty here, and I know that from personal experience. When something goes wrong at home or on the job, there may be brief satisfaction in yelling or kicking the furniture, but erupting with anger usually doesn't do anything to solve the problem, and in many cases it makes the situation more unpleasant. \"A Day Without Having All The Answers.\" I would like to get a break from hearing anyone speak the phrase, \"Here's what you're doing wrong.\" Right now the US is jampacked with citizens who believe they can point out the cause of every single problem in existence and then solve it on the spot. I believe they need to be quiet sometimes and use their ears instead of their voices. I wonder how would average Americans react to such a collective pause? Would it be a day of angry protests, or joyful celebrations? \n Question: According to the writer, losing one's temper is _ . \n Options: (A) personal (B) satisfying (C) pointless (D) unpleasant\nA:",
"role": "user"
},
{
"content": "C",
"role": "assistant"
}
] |
flan_v2
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flan_v2_53412
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[
{
"content": "Problem: David is a doctor with the city hospital. Today, he is seeing four patients, patient A, patient B, patient C, and patient D. All four patients are expectant mothers. Moreover, patient A is over thirty five years old, but patient B is under thirty five years old. Patient C has family history of genetic disorder, but patient D does not have any family history of genetic disorder. David needs to prescribe appropriate treatment according to each patient's condition. Given the paragraph above, please answer correctly the following question: Which patient would less likely need Amniocentesis, patient C or patient D?\n\nA: patient D\n\n\nProblem: Given the question: David is experimenting with electromagnetic waves. He has four different waves to study, wave A, wave B, wave C, and wave D. In wave A, distance between two corresponding points on adjacent waves is greater than that of wave B. In wave C, the number of waves that pass a fixed point in a given time is greater than that of wave D. Given the paragraph above, please answer correctly the following question: Would wave A have less or more energy than wave B?\n++++++++++++++++++++++++++++++++\nThe answer is:\nless\n\n\ninput question: David was studying for his chemistry exam. To understand the elements of the periodic table better he categorized them into three groups, cat A, cat B, and cat C. In cat A he placed all the elements with atomic numbers lower than 83. In cat B he put the elements with atomic numbers from 83 to 94. Finally, in cat C he placed the elements with atomic numbers over 94. He found it easier to see their differences after he categorized them. Given the paragraph above, please answer correctly the following question: Which category would less likely show radioactive decay, cat A or cat B????\noutput answer: cat A\n\n\nManny and Joe checked their cholesterol levels. Joe found out that his cholesterol levels were within normal parameters, while Manny had very high cholesterol levels and was recommended some lifestyle changes. Given the paragraph above, please answer correctly the following question: Which person had higher levels of HDL cholesterol?\n----\nAnswer: Joe\n\n\nQ: City D's mayor wants to invite more businesses in the city. Three firms, firm A, firm B, and firm C, took advantage of this opportunity. Firm A does not require large initial costs, but firm B and firm C require large initial costs. Firm B managed to increase its market share, but firm C failed to increase its market share. Given the paragraph above, please answer correctly the following question: Would firm B most likely fail or succeed in achieving a meaningful return on investment if they don't get a large number of customers?\nA: fail\n\n\n[Q]: A startup has build a simple spaceship that uses only sunlight for its propulsion. The more sunlight it gets faster it moves. They planned to send the spaceship to three different points, point A, point B, and point C. Point A is near the planet Saturn, point B is near Pluto, and point C is about 69 light-hours away. Given the paragraph above, please answer correctly the following question: At which point the spaceship would move slower, point B or point C?\n****\n[A]:",
"role": "user"
},
{
"content": "point C",
"role": "assistant"
}
] |
cot
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cot_87400
|
[
{
"content": "q: The compound ratio of 2/5, 6/7, 1/3 and 1/8 is given by?\nOptions:\n(A) 7/98\n(B) 1/70\n(C) 1/98\n(D) 1/96\n(E) 1/68\na: Stream of consciousness: 2/5 * 6/7 * 1/3 * 1/8 = 12/840 = 1/70 The answer is (B).\nquestion: 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 km/hr\n(B) 2 km/hr\n(C) 4 km/hr\n(D) 6 km/hr\n(E) 8 km/hr\nanswer: Stream of consciousness: Speed in still water = 1/2 (11 + 5) kmph = 8 kmph. The answer is (E).\nq: 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\na: Stream of consciousness: Other number = (12 x 600)/480 = 15. The answer is (D).\nquestion: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.\nOptions:\n(A) 62/63\n(B) 125/126\n(C) 1/63\n(D) 1/42\n(E) 1/126\nanswer: Stream of consciousness: Answer: Option E\nOut of nine, five are good and four are defective. Required probability = â´câ‚„/â¹câ‚„ = 1/126 The answer is (E).\nq: A = 10% of x, B = 10% of y, C = 10% of x + 10% of y. On the basis of the above equalities, what is true in the following?\nOptions:\n(A) A is equal to B\n(B) A is greater than B\n(C) B is greater than A\n(D) Relation cannot be established between A and B\n(E) None of these\na: Stream of consciousness: The given information gives no indication regarding the comparison of x and y. The answer is (D).\nq: A 2015 model car had an average mileage of 38 miles per gallon, when the car wight was 180 kilograms. An upgraded version of the car in 2016 gave a mileage of 43 miles per gallon and the car weight was reduced to 150 kilograms. By approximately what percent did the mileage of the car to the weight of the car improve?\nOptions:\n(A) 28\n(B) 43\n(C) 36\n(D) 19\n(E) 37\na:",
"role": "user"
},
{
"content": "Stream of consciousness: Initial mileage/weight ratio = 38/180 = 190/900\nRevised mileage/weight ratio = 43/150 = 258/900 The answer is (C).",
"role": "assistant"
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cot
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cot_51466
|
[
{
"content": "q: If n is an integer, then the least possible value of |8 - 9n| is?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 11\na: Stream of consciousness: |8 - 9n| represents the distance between 8 and 9n on the number line. Now, the distance will be minimized when 9n, which is multiple of 9, is closest to 8. Multiple of 9 which is closest to 8 is 9 (for n = 1), so the least distance is 1: |8 - 9| = 1. The answer is (B).\nquestion: Find the simple interest on Rs.500 for 9 months at 6 paisa per month?\nOptions:\n(A) Rs.345\n(B) Rs.270\n(C) Rs.275\n(D) Rs.324\n(E) Rs.325\nanswer: Stream of consciousness: I = (500*9*6)/100 = 270 The answer is (B).\nq: A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?\nOptions:\n(A) 40\n(B) 37\n(C) 32\n(D) 39\n(E) 28\na: Stream of consciousness: Speed = 45 * 5/18 = 25/2 m/sec\nTotal distance covered = 360 + 140 = 500 m\nRequired time = 500 * 2/25 = 40 sec The answer is (A).\nquestion: Find the largest 4 digit number which isexactly divisible by 88?\nOptions:\n(A) 8765\n(B) 9543\n(C) 9944\n(D) 1012\n(E) 2465\nanswer: Stream of consciousness: 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 The answer is (C).\nq: The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?\nOptions:\n(A) 4\n(B) 5\n(C) 8\n(D) 10\n(E) 12\na: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).\nq: 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: 120, 30, 240, 25, ___, 20, 480, 15... Which number is missing?\nOptions:\n(A) 120\n(B) 360\n(C) 340\n(D) 960\n(E) 280\na:",
"role": "user"
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{
"content": "Stream of consciousness: B 360\nThis is an alternating addition and subtraction series. In the first pattern, 120 is added to each number to arrive at the next. In the second, 5 is subtracted from each number to arrive at the next. The answer is (B).",
"role": "assistant"
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cot
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cot_99929
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[
{
"content": "Reasoning: 21-12 < no of hrs < 21-2\n9< no of hrs < 19.\nAns: (C)\nQuestion: 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 2 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) 22\n(E) 6\n\n\nRationale: The second and forth letters in the series, L and A, are static. The first and third letters consist of an alphabetical order beginning with the letter\nThe answer: (E)\nQuestion: ELFA, GLHA, ILJA, _____, MLNA\nOptions:\n(A) IOH\n(B) HTY\n(C) YOU\n(D) FLQ\n(E) KLLA\n\n\nReasoning: D = 580 + 280 = 800\nS = 34 * 5/18 = 9 mps\nT = 800/9 = 89 sec\nAns: (B)\nQuestion: A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?\nOptions:\n(A) 287 sec\n(B) 89 sec\n(C) 48 sec\n(D) 16 sec\n(E) 17 sec\n\n\nRationale: S = 160/8 * 18/5 = 72 kmph\nThe answer: (E)\nQuestion: A 160 meter long train crosses a man standing on the platform in 8 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) 72 kmph\n\n\nReasoning: Assuming that the technician makes a round-trip of 40 miles (each way is 20 miles), then the technician would have completed 20 miles + 2 miles (10% of the remaining 20 miles). Therefore, the total is 22 miles. 22miles/40 miles is 55% of the entire trip.\nAns: (E)\nQuestion: A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?\nOptions:\n(A) 5%\n(B) 10%\n(C) 25%\n(D) 40%\n(E) 55%\n\n\nReasoning: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder Q when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.\nAns: (C)\n",
"role": "user"
},
{
"content": "Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder Q when N is divided by 30?\nOptions:\n(A) (a) 4\n(B) (b) 7\n(C) (c) 11\n(D) (d) 13\n(E) (e) 17",
"role": "assistant"
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cot
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cot_59200
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[
{
"content": "q: A man pointing to a photo says \"The lady in the photograph is my nephew’s maternal grandmother\". How is the lady in the photograph related to the man’s sister who has no other sister ?\nOptions:\n(A) Cousin\n(B) Sister-in-law\n(C) Mother\n(D) Mother-in-law\n(E) None of these\na: Stream of consciousness: Since the man is referring to his nephew, the nephew’s parent has to be a sibling to the man. Now the last part says that the man’s sister has no other sister and hence the brother-sister relationship is established between the man and his nephew’s mother. Now the lady in the picture is the grandmother of the nephew and hence she is the mother of the man’s sister. The answer is (C).\nquestion: In how many different orders can the people Alice, Benjamin, Charlene, David, Elaine, Frederick, Gale, and Harold be standing on line if each of Alice, Benjamin, Charlene must be on the line before each of Frederick, Gale, and Elaine?\nOptions:\n(A) 1,008\n(B) 1,296\n(C) 1,512\n(D) 2*1008\n(E) 2,268\nanswer: Stream of consciousness: Place D and H first: 8 options for D, 7 options for H\nWe are left with 6 empty places. A, B and C must take first 3 places and F, G, Emust take the remaining three. A, B and C can be arranged in their places in 3! ways. The same for F, G, and E\nTotal = 8*7*3!*3! = 2*1008 The answer is (D).\nq: 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) 29\n(B) 18\n(C) 48\n(D) 99\n(E) 11\na: Stream of consciousness: D = 540 + 180 = 720\nS = 54 * 5/18 = 15 mps\nT = 720/15 = 48 se The answer is (C).\nquestion: From among the 35 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) 1190\n(E) 1460\nanswer: Stream of consciousness: There are 35 students and every one has equal chance of being selected as a leader. Hence, the leader can be appointed in 35 ways. When one person is appointed as leader, we are left with 35 students. Out of these 34 teachers, we can select one class representative. So, a class representative can be selected in 34 ways. Hence, the number of ways in which a leader and class representative can be selected = 35 x 34 = 1190 The answer is (D).\nq: Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?\nOptions:\n(A) 3 4/9 days\n(B) 8 4/9 days\n(C) 9 3/8 days\n(D) 6 3/8 days\n(E) none of these\na: Stream of consciousness: 1/15 + 1/25 = 8/75\n75/8 = 9 3/8 days The answer is (C).\nq: Which of the following is not divisible by 8?\nOptions:\n(A) 10032\n(B) 21192\n(C) 47816\n(D) 91232\n(E) 72034\na:",
"role": "user"
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{
"content": "Stream of consciousness: Divisibility rule of 8: Last three digits of the number should be divisible by 8\nOption A: 10032, last three digits = 032. Divisible by 8\nOption B: 21192, last three digits = 192. Divisible by 8\nOption C: 47816, last three digits = 816. Divisible by 8\nOption D: 91232, last three digits = 232. Divisible by 8\nOption E: 72034, last three digits = 034. Not divisible by 8. Hence 72034 is not divisible by 8 The answer is (E).",
"role": "assistant"
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cot
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cot_60736
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[
{
"content": "Question: A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many ways can the test be completed if every question is unanswered?\nOptions:\n(A) 24\n(B) 120\n(C) 625\n(D) 720\n(E) 1024\nAnswer: 5 choices for each of the 4 questions, thus total of 5*5*5*5 = 5^4 = 625 ways.\nThe answer is (C).\n\nQuestion: In how many different ways can the letters of the word \"CLAIM\" be rearrangement?\nOptions:\n(A) 110\n(B) 120\n(C) 125\n(D) 130\n(E) 140\nAnswer: The total number of arrangements is\n5P5 = 5! = 120\nThe answer is (B).\n\nQuestion: A pipe can fill a cistern in 20 minutes whereas the cistern when fill can be emptied by a leak in 70 minutes. When both pipes are opened, find when the cistern will be full?\nOptions:\n(A) 17 minutes\n(B) 87 minutes\n(C) 70 minutes\n(D) 28 minutes\n(E) 11 minutes\nAnswer: 1/20 - 1/70 = 1/28\n28 minutes\nThe answer is (D).\n\nQuestion: What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?\nOptions:\n(A) 1/9 sq units.\n(B) 4/9 sq units.\n(C) 8/9 sq units.\n(D) 7/9 sq units.\n(E) 6/9 sq units.\nAnswer:",
"role": "user"
},
{
"content": "Area will be 2/3 *4/3 = 8/9 sq units.\nThe answer is (C).",
"role": "assistant"
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] |
flan_v2
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flan_v2_83141
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[
{
"content": "In this task, you're given an article, a question which often contains a blank and four options (associated with \"A\", \"B\", \"C\", \"D\"). Your task is to find the correct answer (from the given options) for the question from the given article and return one of the options from \"A\", \"B\", \"C\", and \"D\". Do not generate anything else apart from one of the following characters: \"A\", \"B\", \"C\", \"D\". There is only one correct answer for each question.\n\nInput: Consider Input: Article: Stay-at home careers are the preferred way to earn a living for those who like to set their own hours and be their own boss, mothers of young children, and those who like to avoid office politics. There are plenty of opportunities to earn from home. Even if you earn little first, the quality of life should make up for the loss of income. Take a look at the following choices for home-birds: Online tutoring--You can earn anything from Rs 8,000 to 30,000 a month if you are a qualified teacher with computer and communication skills. The subjects in demand these days are math, English, physics, chemistry and biology. You can either teach part-time (4 hours) or full-time (9 hours). Freelance writers--You have a good writing skills but don't have time to work a nine-to-five job? You can still use your skills and earn a good amount of money. Many companies these days require good writers. One can earn up to Rs 8,000 to 50,000. Online-traders--Earn a lot of money by share trading. Just clear the NCFM (Capital Market) exam and you can start trading. You can bring in Rs 10,000 to 1000,000 per month. Designers--If you have the creative skills and a creative gift, try becoming a designer. Designers are required in different fields. One can earn nearly Rs 8,000 to 20,000 per month. \n Question: According to the passage, those who likes stay-at-home careers _ . \n Options: (A) perhaps can't earn as much as those working in an office (B) needn't do anything at home and earns a lot (C) can't be mothers who have children to look after (D) are often worried about office politics\n\nOutput: A\n\n\nInput: Consider Input: Article: The summer of 2012 was full of reports of extreme weather: one of the warmest years on record in the US, the wettest summer in the UK, and the worst drought in East Africa. In short, extreme weather seems to be becoming the new normal. Weather extremes are not that extreme any more. Heatwaves, droughts and wildfires are the new reality of a warming world. And this should not come as a surprise. Scientists have been warning for years that as the planet heats up, we will have to deal with more dreadful weather. Although not every extreme weather event is the result of climate change, scientists are now much more confident about connecting weather events with climate change. In 2011, the UK had a warm November. Researchers say that it was at least 60 times more likely to happen because of climate change than because of natural changes in the earth's weather systems. All the news shows that climate breakdown is occurring faster than most climate scientists had expected. But isn't it too expensive to stop the climate from changing? Well, yes it costs. So everything is just as usual. It would be wrong to believe that to let things continue as they always do is the cheap choice. Instead, it is very expensive. Just one example: droughts in the US, Russia and the Ukraine sent food prices to a record high. According to the World Bank, the price for corn increased by 113% in some markets in Mozambique and in Sudan. This is the kind of cost that often gets ignored. I believe intelligent climate action can help create new opportunities for jobs in Europe, for encouraging creativity and competitiveness, for spending less money on energy. \n Question: According to the passage, in 2012 _ . \n Options: (A) the UK had a warm November (B) the US had many wildfires (C) the UK had a dry summer (D) East Africa had little rain\n\nOutput: D\n\n\nInput: Consider Input: Article: More and more Italians are leaving their country because they can not get a job. One in every three Italians say they are willing to go abroad, sometimes even to other continents to get work. Currently, about 300,000 young Italians may be living abroad. Although emigration has always been a choice for Italians, especially for those who left the country at the beginning of the twentieth century, more young Italians think leaving their home country is the only way to escape economic difficulty. These young Italians, however, are not poor farmers or laborers but bright university graduates and other talented young people. Many of them want to go to richer places, like northern Europe, but they are also prepared to go elsewhere. Most of them describe a feeling of unhappiness and frustration. They are not sure which direction their country is heading and feel no longer proud of being Italians. Many leave because they think that getting a good job is possible in other countries where all doors are open to you if you are young and dynamic. However, in Italy everything is boring and old-fashioned. Italy's economic system is largely based on family structures and the elderly who don't want to give up power. Corruption is also a big problem that simply won't go away. The Italian government is aware of the problem and says it must create new opportunities for its younger generation. But even if it starts working on a new style economy right away it may take years before things in Italy really change. The government has already passed laws which will make it easier for doctors, lawyers and other academics to start a career in Italy. Many economic experts claim that Italy is doing a lot for its older generation but very little for its youth. For example, it spends little on housing, childcare but a lot on pensions. \n Question: Some people are leaving Italy mainly because they _ . \n Options: (A) want to get a job (B) want to travel abroad (C) prefer working abroad (D) no longer love their country\n\n",
"role": "user"
},
{
"content": "Output: A\n\n\n",
"role": "assistant"
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flan_v2
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flan_v2_52464
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[
{
"content": "Please answer this: Write a multi-choice question for the following article, with the given choices and answer: Article: In the United States ,the biggest change in spending has been in the amount spent on food ,which has decreased from 46% of the total family budget in 1901 to 19% of present day totals .This is due to the fact that people are now able to buy more and better foods at lower prices. As a result of the growth in fast-food restaurants (for example, McDonad's or KFC), more people are also eating out. Thus about 30% of today's food budget goes on meals eaten outside the home while a hundred years ago it was only 3%. At the beginning of the 20th century, few people owned their homes (only around 19% of working families )and cars (at $ 1,000 per car this was well above the average family income of $ 650 per year) , as most people were unable to borrow money. But there was a rapid rise in both home and car ownership during the mid-1900s. Free time increased considerably following the shortening of the working week, i. e. from six days to five ,and from ten hours to eight hours a day. In fact, the working day couldn't be too long, otherwise people wouldn't have the time to spend their money. The amount of a family's budget spent on outside entertainment ,such as parties, films and concerts has increased from just under 6% in Ford's day to about 9% today. On the other hand, we spend only a quarter of what our great-grandparents paid for reading materials. It is difficult to see how our spending patterns may change in the future. We already know that our population is aging and this will have an effect on the amount of money we spend on medical care. Options: A The development of the fast food industry. B The improvement of living conditions. C The reduction in working time. D The rapid rise in income. Answer: C The reduction in working time. Question:\n++++++++\nAnswer: What is the immediate cause for people to have more time to enjoy life?\n\n\nProblem: Write a multi-choice question for the following article, with the given choices and answer: Article: *Prime Minister Tony Blair faced new allegations on Thursday that he misled Parliament and the public in making the case for the war in Iraq after he disclosed his chief legal adviser's written opinion raising questions about the legality of the war. *US Forest Service officials are reminding people to stay off Forest Service roads that are closed. The fine for disobeying the rule of road closures is a maximum of $ 5, 000 fine and/or six months in prison. Those who enter the area and cause road damage may also be required to pay for repairs. *In a second study presented at the meeting, scientists from the UK and Denmark showed that even a few days of high temperatures can severely reduce production of crops such as wheat, soybeans, rice and groundnuts, if it occurs when the plants are flowering. *A bomb exploded in Thailand's mainly Muslin south on Sunday, killing two policemen and wounding three others, a day after Thailand' s queen condemned those behind a 15-month wave of violence . *Mechanicsburg 3, West York l: Ken Stamper and Rusty Bowman had seven kills each, and Ryan Warfield had six to lead the Wildcats past the Bulldogs, 25-11, 25-15, 15-25, 25-23, in a non-league match. Options: A war, law, violence, culture and agriculture B sports, war, violence, politics and climate C politics, culture, violence, climate and sports D violence, sports, politics, law and agriculture Answer: D violence, sports, politics, law and agriculture Question:\n\nA: The news brief covers _ .\n\n\nProblem: Given the question: Write a multi-choice question for the following article, with the given choices and answer: Article: In the world today, all of the people need recreation . We cannot work all the time if we are going to keep healthy and enjoy life. Everyone has his own way of relaxing. Perhaps the most popular form is to take part in sports. There are team sports, such as basketball and football; There are also individual sports, such as swimming and running. Skating and mountain climbing are the most popular recreation for people who like to be outdoor. Not everyone who enjoys sports likes to take part in them. Many people like watching them on TV or listening to them on the radio. So many people like some forms of indoor recreation, such as watching TV, singing and dancing. It doesn't matter whether we like indoor recreation or take part in outdoor sports. It is important for everyone to relax from time to time, and enjoy some forms of recreation. Options: A keep healthy and enjoy life B make friends C find a good job D make more money Answer: A keep healthy and enjoy life Question:\n++++++++++++++++++++++++++++++++\nThe answer is:\nPeople want to take part in sports in order to _ .\n\n\nQ: Write a multi-choice question for the following article, with the given choices and answer: Article: When JetBlue captain Clayton Osbon became unpredictable, his co-pilot invented a reason for him to go back into the cabin.Once the captain was out of the cockpit , the co-pilot locked the door to keep the captain from returning.Passengers, some with law enforcement experience, calmed the captain.The flight changed course to Amarillo, Texas where the captain was hospitalized. Incidents in which a pilot has had an in-flight psychological breakdown are rare.But how could it happen at all? Though pilots are required to have an examination at least once a year by a physician approved by the FAA, there are no formal procedures in place to test pilots for signs of psychological problems. At most airlines, pilots are members of a union.A pilot who appears to have a psychological or an alcohol problem can be reported to a union member whose job it is to investigate.If there is a problem, the pilot is given the choice of getting treatment or being reported to management.But at airlines, such as Allegiant, JetBlue, and Virgin American where there is no union, pilots are - to say the least - unwilling to report a fellow pilot to management. In most professions, a person experiencing emotional difficulties is free to consult a doctor.Rut an airline pilot in therapy is viewed with suspicion both by the airline and by the FAA.No pilot wants to be put under extra examination by an agency that has the power to _ their license or end their employment.That being the case, pilots are less likely than people in other professions to seek help. There may be no way to make sure this never happens again, but its possibility can be reduced. Tests such as the Minnesota Multiphasic Personality Inventory ( MMPI) can reliably detect depression, paranoia, schizophrenia, and other problems.The FAA could require pilots to take the MMPI or a similar test on a periodic basis.Whether such testing becomes required will depend upon the public's response to this incident and whether additional incidents take place. Flying is remarkably safe.But... Options: A Because they are tested for signs of psychological problems every year. B Because they are likely to be treated by physicians. C Because they are supported by the airlines. D Because they might be fired. Answer: D Because they might be fired. Question:\nA:",
"role": "user"
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"content": "Why are some pilots unwilling to report a fellow pilot to management?",
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cot
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cot_74316
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[
{
"content": "question: For some integer p, p^2 - 5 is divisible by all of the following EXCEPT\nOptions:\n(A) 30\n(B) 38\n(C) 41\n(D) 29\n(E) 31\nanswer: Stream of consciousness: Hint: p^2-5 (p is an integer) is never multiple of 3 (try to prove this), hence 30 is out. The answer is (A).\nq: A train 350 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) 20 sec\n(E) 25 sec\na: Stream of consciousness: Speed = 63 * 5/18 = 35/2 m/sec\nTime taken = 350 * 2/35 = 20 sec The answer is (D).\nquestion: 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\nanswer: Stream of consciousness: 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 The answer is (C).\nq: Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 86 players took part in that tournament. How many matches were played?\nOptions:\n(A) 90 matches\n(B) 95 matches\n(C) 99 matches\n(D) 85 matches\n(E) 87 matches\na: Stream of consciousness: D 85 matches. The number of matches will always sum up to one less than the number of players in a knock out tournament. You may calculate it in any manner. Thus 85 matches were playe The answer is (D).\nquestion: A train running at the speed of 60 km/hr crosses a pole in 3 sec. What is the length of the train?\nOptions:\n(A) 50\n(B) 75\n(C) 100\n(D) 120\n(E) 25\nanswer: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 3 = 50 m The answer is (A).\nquestion: 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\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: {Total} = {M} + {N} - {Both}\n{Total} = 47 + 28 - 12 = 63. The answer is (E).",
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cot_87561
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[
{
"content": "q: 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 14 minutes, how much time will she spend doing yoga? (rounded to minutes)\nOptions:\n(A) 10 min.\n(B) 41 min.\n(C) 17 min.\n(D) 23 min.\n(E) 25 min.\na: Stream of consciousness: The ratio is 2:3 = gym:ride, so (14)(3/2) = 21 minutes at the gym, and 21 + 14 = 35 minutes exercise, so (2/3)(35) = 23 minutes yoga. The answer is (D).\nquestion: For every order, a certain mail-order company charges a shipping fee of $3 plus an additional $2 if the value of the order is over $50 but not over $100 or an additional $3 if the value of the order is over $100. How much greater are the total shipping fees for 2 orders of $75 each than the total shipping fee for 2 order of $250 ?\nOptions:\n(A) $1\n(B) $2\n(C) $3\n(D) $4\n(E) $5\nanswer: Stream of consciousness: Total cost involved for each 75 $ shipment: 3+2 = 5 $. Thus, for two such orders = 10$\nTotal cost involved for a 250$ shipment: 3+3 = 6$. Thus, for two such orders = 12$\nThe difference = 2$. The answer is (B).\nq: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 3 times, and no one scored below 400 or over 700. If the individual ranges of the three people's scores in those 3 practice tests were 40, 70 and 100, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 70\n(B) 80\n(C) 100\n(D) 140\n(E) 200\na: Stream of consciousness: According to the information in the question the maximum range would be between 400 and 700(300). The minimum range would be the greatest range for any one individual, which is listed in the problem as 100. So the difference between these would be 300-100 or 200. The answer is (E).\nquestion: The number N is 5,2H7, where H represents the ten's digit. If N is divisible by 3, what is the value of H?\nOptions:\n(A) 3\n(B) 8\n(C) 5\n(D) 6\n(E) 4\nanswer: Stream of consciousness: If the number is divisible by 3, the sum of the digits must also be divisible by 3. Only 4 yields such a number. The answer is (E).\nq: The average of fifteen results is 593 and that of the first fourteen is 594. The fifteenth result is?\nOptions:\n(A) 575\n(B) 602\n(C) 579\n(D) 586\n(E) 592\na: Stream of consciousness: 15 * 593 – 14 * 594 = 579 The answer is (C).\nq: A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?\nOptions:\n(A) 12 hrs\n(B) 24 hrs\n(C) 36 hrs\n(D) 48 hrs\n(E) 42 hrs\na:",
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{
"content": "Stream of consciousness: Time taken by leak to empty tank = 1/(1/16-1/24) = 48 hrs The answer is (D).",
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cot_56871
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[
{
"content": "q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?\nOptions:\n(A) 27\n(B) 29\n(C) 30\n(D) 34\n(E) 35\na: Stream of consciousness: The total of seven numbers = 7X18 = 126\nThe total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99\nSo, the middle number is (126 - 99 ) = 27 The answer is (A).\nquestion: Jasmine has a toaster with two slots that toasts one side of each piece of bread at a time, and it takes one minute to do so.\nIf she wants to make 3 pieces of toast, what is the least amount of time she needs to toast them on both sides?\nOptions:\n(A) 1\n(B) 2\n(C) 3\n(D) 4\n(E) 5\nanswer: Stream of consciousness: 3 minutes. She puts two pieces in the toaster, toasting one side of each. Then she flips one of them, takes one out, and puts the completely untoasted piece into the toaster. Finally, she takes out the toasted piece and puts the two half-toasted pieces of bread into the toaster for a minute and she's done. The answer is (C).\nq: A train 640 m in length crosses a telegraph post in 16 seconds. The speed of the train is?\nOptions:\n(A) 22 kmph\n(B) 77 kmph\n(C) 144 kmph\n(D) 71 kmph\n(E) 88 kmph\na: Stream of consciousness: S = 640/16 * 18/5 = 144 kmph The answer is (C).\nquestion: Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?\nOptions:\n(A) 30\n(B) 32\n(C) 34\n(D) 36\n(E) 38\nanswer: Stream of consciousness: First we have to arrange A, there is 1 method for it, for second person B, there are 2 methods one left and one right, for third 2 methods are there same as for B similarly for others, so total number of methods = 1*2*2*2*2*2 = 32 The answer is (B).\nq: A no.when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?\nOptions:\n(A) 2\n(B) 8\n(C) 9\n(D) 11\n(E) 15\na: Stream of consciousness: 220 + 43 = 263/17 = 8 (Remainder) The answer is (B).\nq: In a garden, carrots are planted in rows. In each row there are as many carrots as the number of rows in the garden. If each plant attracts as many bunnies as the number of carrots in each row and if the total number of bunnies is n, then :\nOptions:\n(A) n is a perfect square\n(B) n is an odd number\n(C) n is an even number\n(D) n is a perfect cube\n(E) none\na:",
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"content": "Stream of consciousness: For example, if there were 4 carrot rows, the garden would have a 4x4 arrangement. If each carrot attracts 4 bunnies, the number of bunnies would be (4*4)*4 = 64 pieces, which is a cube of 4. The answer is (D).",
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cot_77480
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[
{
"content": "q: How many positive integers less than 50 have a reminder 01 when divided by 5?\nOptions:\n(A) 10\n(B) 14\n(C) 15\n(D) 16\n(E) 17\na: Stream of consciousness: 1 also gives the remainder of 1 when divided by 5. So, there are total of 10 numbers. The answer is (A).\nquestion: Which of the following is a prime number ?\nOptions:\n(A) 27\n(B) 45\n(C) 97\n(D) 98\n(E) 100\nanswer: Stream of consciousness: Clearly, 97 is a prime number. The answer is (C).\nq: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 48\n(E) 50\na: Stream of consciousness: Sum of all the 13 results = 13 * 60 = 780\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 780 = 46. The answer is (C).\nquestion: Sum of the local value and the face value of 4 in the numeral 153489216 is\nOptions:\n(A) 40004\n(B) 4004\n(C) 4000004\n(D) 400004\n(E) 44\nanswer: Stream of consciousness: (Local value of 4) + (Face value of 4) = (400000 + 4) = 400004 The answer is (D).\nq: In wardrobe Marry has 3 trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4 shirts. One of them is grey and the other 3are white. He opens hiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the trouser is grey?\nOptions:\n(A) 1/2\n(B) 2/3\n(C) 3/5\n(D) 3/7\n(E) 4/9\na: Stream of consciousness: Probability that trouser is not grey = 2/3\nProbability that shirt is not grey = 3/4\n∴ Required probability = 2/3 x 3/4 = 1/2 The answer is (A).\nq: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 5\n(C) More than 5\n(D) Less than 1/5\n(E) none of these\na:",
"role": "user"
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{
"content": "Stream of consciousness: Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5 The answer is (A).",
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cot_98596
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[
{
"content": "q: If the personal income tax rate is lowered from 45% to 30%, what is the differential savings for a tax payer having an annual income before tax to the tune of $48000?\nOptions:\n(A) $3500\n(B) $5000\n(C) $3150\n(D) $7200\n(E) $10000\na: Stream of consciousness: Saving = (45-30)% of 48000 = 7200. The answer is (D).\nquestion: A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?\nOptions:\n(A) 6 days\n(B) 2 days\n(C) 8 days\n(D) 3 days\n(E) 9 days\nanswer: Stream of consciousness: Work done by A in 2 days = 2/5\nRemaining work = 3/5\nWork done by both A and B in one day = 1/5 + 1/10 = 3/10\nRemaining work = 3/5 * 10/3 = 2 days. The answer is (B).\nq: Find 94 ×× 97\nOptions:\n(A) 93/198\n(B) 93/12\n(C) 93/18\n(D) 93/10\n(E) 93/11\na: Stream of consciousness: Here both numbers are less than 100. So they are deficient of - 6 and - 3 compared with 100. So The answer is (C).\nquestion: 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\nanswer: Stream of consciousness: 90 * 30/60 = 45 kmph The answer is (E).\nq: Is 2 a prime number or a composite number?\nOptions:\n(A) prime number\n(B) composite number\n(C) both prime composite number\n(D) Not prime composite number\n(E) Don't Know\na: Stream of consciousness: A Prime Number can be divided evenly only by 1 or itself\nSo 2 is prime number The answer is (A).\nq: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50\na:",
"role": "user"
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{
"content": "Stream of consciousness: No of people from 10 - 11 is x\nNo of people from 11 - 12 is 4x/5\nNo of people from 12 to 1 is (13/10)(4x/5)\nGiven that 4x/5 + (13/10)(4x/5) = 92x/50 = 92\nThen x = 50 The answer is (E).",
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flan_v2
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flan_v2_88796
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[
{
"content": "In this task, you're given an article, a question which often contains a blank and four options (associated with \"A\", \"B\", \"C\", \"D\"). Your task is to find the correct answer (from the given options) for the question from the given article and return one of the options from \"A\", \"B\", \"C\", and \"D\". Do not generate anything else apart from one of the following characters: \"A\", \"B\", \"C\", \"D\". There is only one correct answer for each question.\n\nArticle: We have information about over 300 volunteering opportunities with more than 250 local organizations (charities, statutory organizations such as hospitals and social services and community groups). We are a registered charity and our service is free of charge. We do not run volunteering projects ourselves bur recruit volunteers for a whole range of organizations across Cambridge and South Cambs. Volunteering Links National Council for voluntary Organizations A center to champion and strengthen the voluntary sector in the UK with advice, support and public policy. Cambridge Council for voluntary Service An independent registered charity to help community and voluntary groups in Cambridge, South Cambridgeshire and Fenland. Volunteering Wales Voluntering and volunteer Centers in Wales. Volunteer Development Scotland Volunteering and Volunteer Centres in Scotland. Community Service Volunteers Volunteer placements in the UK. Student Hubs A branch of Student Hubs, a youth-led charity working across the UK to transform student involvement in charitable activities. Timebank A national campaign inspiring and connecting people to share and give time. Registration Information If you spot an opportunity that you like, you can go through a simple online registration process and then we will send you the details. Alternatively you can down load a VOLUNTEER REGISTRATION FORM (please save it to your own computer before editing) and email the completed form to us at [email protected]. If you need a bit more help, then we can offer you a confidential one-to-one chat with a member of staff to discuss what you would like to do. But you must make an appointment beforehand. You don't have to visit the Volunteer Centre in person to get help. We can also provide information by e-mail, post or over the telephone. \n Question: Which of the following is not true about the center? \n Options: (A) Volunteers can find plenty of opportunities in the center. (B) The center does not charge money for their service. (C) The center does not run volunteering projects themselves. (D) Organizations like Student Hubs belong to the center.\nD\n\nArticle: Kindness and kids just seem to go hand in hand. But 62% of more than 2,600 participants in the NBC News State of Kindness Poll believe that today's kids are less kind than those in the past. Women(66%) feel about this kindness fall more strongly than men(58%). Most of the participants who feel that way(77%) thank parents caused the seeming lack of kindness among today's children, with a few thinking that society, schools, or friends caused it. At the same time, Americans say they don't put kindness first when it comes to teaching kids values. Among all participants, honesty is taught more than kindness as well as other things like courage, leadership and storing work ethic . But the younger generation--those aged 18-24--think highly of kindness rules. They choose kindness by 10% over honesty as the most important quality to teach kids. The question of whether kindness is learned or taught--or somewhere in between --causes different opinions. According to the study, Americans have different opinions on whether kindness in something one is born with or needs to be learned and _ over time. Slightly more than half(52%) of the participants believe that all of us are born with the ability to show kindness, while 48% believe kindness must be developed. Parenthood makes a difference to your thoughts on the causes of kindness. Those without kids(56%) are more likely to think that people are born to be kind, while 50% of the participants with kids think kindness is developed. Also, 51% of dads and 54% of men with no kids believe kindness is something time is born with. Slightly more than half of the moms say kindness must be learned, while 48% believe it is what one is born with. \n Question: 62% of the participants believe that today's kids are _ . \n Options: (A) born to be kind (B) taught to be less kind (C) not well educated at school (D) not so kind as kids in the past\nD\n\nArticle: Since the first Earth Day in 1970, Americans have gotten a lot \"greener\" toward the environment. \"We didn't know at that time that there even was an environment, let alone that there was a problem with it,\" says Bruce Anderson, president of Earth Day USA. But what began as nothing important in public affairs has grown into a social movement. Business people, political leaders, university professors, and especially millions of grass-roots Americans are taking part in the movement. \"The understanding has increased many, many times,\" says Gaylord Nelson, the former governor from Wisconsin, who thought up the first Earth Day. According to US government reports, emissions from cars and trucks have dropped from 10.3 million tons a year to 5.5 tons. The number of cities producing CO beyond the standard has been reduced from 40 to 9. Although serious problems still remain and need to be dealt with, the world is a safer and healthier place. A kind of \"Green thinking \" has become part of practices. Great improvement has been achieved. In 1988 there were only 600 recycling programs, today in 1995 there are about 6,600. Advanced lights, motors, and building designs have helped save a lot of energy and therefore prevented pollution. Twenty-five years ago, there were hardly any education programs for environment. Today, it's hard to find a public school, university, or law school that does not have such a kind of program. \"Until we do that, nothing else will change!\" says Bruce Anderson. \n Question: According to Anderson, before 1970, Americans had little idea about _ . \n Options: (A) the social movement (B) environmental problems (C) recycling techniques (D) the importance of Earth Day\n",
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"content": "B\n\n",
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cot_80306
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[
{
"content": "q: A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?\nOptions:\n(A) 118\n(B) 150\n(C) 300\n(D) 258\n(E) 191\na: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 18 = 300 m The answer is (C).\nquestion: Find a a prime number from the options below.\nOptions:\n(A) 86\n(B) 87\n(C) 88\n(D) 89\n(E) 90\nanswer: Stream of consciousness: Clearly, 89 is a prime number. The answer is (D).\nq: 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\na: Stream of consciousness: 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 The answer is (B).\nquestion: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 10\n(B) 20\n(C) 30\n(D) 40\n(E) 50\nanswer: Stream of consciousness: No of people from 10 - 11 is x\nNo of people from 11 - 12 is 4x/5\nNo of people from 12 to 1 is (13/10)(4x/5)\nGiven that 4x/5 + (13/10)(4x/5) = 92x/50 = 92\nThen x = 50 The answer is (E).\nq: The inverse ratio of 6: 2: 1 is?\nOptions:\n(A) 2:3:7\n(B) 2:3:9\n(C) 2:3:2\n(D) 1:3:6\n(E) 2:3:1\na: Stream of consciousness: 1/6: 1/2: 1/1 = 1:3:6 The answer is (D).\nq: A daughter lent $750 to her mother to help pay her rent. At the end of the month, the daughter received y dollars more than than the amount that was lent due to interest. The mother also gave her daughter an additional $5 for goodwill. In terms of y, what fraction of the total amount that the daughter received was the goodwill amount?\nOptions:\n(A) (5y-1) /(755-y) \n(B) 5/(755+y) \n(C) 5y/(755+y) -1\n(D) 5y/(755+y) \n(E) 5y\na:",
"role": "user"
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{
"content": "Stream of consciousness: The amount of money the daughter received was (750 + 5+ y) dollars. The $5 goodwill gift as a fraction of the amount received was, therefore, 5/(755+y). The answer is (B).",
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cot_84955
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[
{
"content": "q: How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 22 sec\n(B) 35 sec\n(C) 25 sec\n(D) 18 sec\n(E) 17 sec\na: Stream of consciousness: D = 200 + 150 = 350\nS = 36 * 5/18 = 10 mps\nT = 350/10 = 35 sec The answer is (B).\nquestion: 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 4 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\nanswer: Stream of consciousness: 21-12 < no of hrs < 21-6\n9< no of hrs < 17. The answer is (D).\nq: A Train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. Find the speed of the train.\nOptions:\n(A) 110 kmph\n(B) 120 kmph\n(C) 108 kmph\n(D) 100 kmph\n(E) 98 kmph\na: Stream of consciousness: In 10s the train crosses the pole and in 30 sec the train crosses one more stationary train\nIn 20 sec the train travels a distance of 600 mtrs\nSpeed = 600/20 = 30 m/s = 30 (3600/1000) = 30 * 18/5 = 108 kmph The answer is (C).\nquestion: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a white shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?\nOptions:\n(A) 29\n(B) 39\n(C) 54\n(D) 64\n(E) 75\nanswer: Stream of consciousness: The correct answer should not take the form: 5x + 4. Hence, it is The answer is (E).\nq: 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\na: Stream of consciousness: Final number = Initial number + 50%(original number) = 60 + 50%(60) = 60 + 30 = 90. The answer is (C).\nq: Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?\nOptions:\n(A) 24(2) – 12(2) + 112 ÷ 14\n(B) 17 × 12 + 59 × 4\n(C) 15 × 28 + 20\n(D) 27 × 16 + 56 ÷ 8\n(E) 185 × 6 ÷ 2 – 23 × 5\na:",
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{
"content": "Stream of consciousness: Other parts are equal to 440. The answer is (D).",
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flan_v2
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flan_v2_91032
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[
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"content": "TASK DEFINITION: You are given an elementary science question along with a few answer options. List all the words from the question that are essential and sufficient for choosing the correct answer option. Keep in mind that essential words are necessary to understand the meaning of the given question. However, non-essential words provide little information needed to select the correct answer. You can think about it like this: If the question was in another language, knowing the meaning of which words were necessary and enough for you to understand the question and answer it?. If your answer consists of multiple spans of words from the question, separate those using a comma (\", \"). Do not generate any word that is not present in the question. Make sure that your response is contained in the given question and the words are in the same order as the question.\n Grammatical correctness is not important.\nPROBLEM: Question: Which unit of measurement can be used to describe the length of a desk? (A) centimeters (B) grams (C) liters (D) degrees Celsius?\n\nSOLUTION: measurement, length, desk?\n\nPROBLEM: Question: Which of the following statements about consumers is true? (A) They are adapted to use sunlight for photosynthesis. (B) They are organisms that make their own food. (C) They are dependent on producers for energy. (D) They are the only source of energy in an ecosystem.?\n\nSOLUTION: statements, consumers\n\nPROBLEM: Question: A mountain range has hills around its edges. How are the mountains and hills alike? (A) Both have grass at the top. (B) Both are at least 1000 meters tall. (C) Both have liquid rock at their centers. (D) Both are taller than the land around them.?\n\nSOLUTION:",
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"content": "mountains, hills, alike?\n\n",
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"content": "q: The average of seven numbers is 21. The average of first three numbers is 19 and the average of last three numbers is 23. What is the middle number?\nOptions:\n(A) 20\n(B) 22\n(C) 18\n(D) 19\n(E) 21\na: Stream of consciousness: The total of seven numbers = 7X21 = 147\nThe total of first 3 and last 3 numbers is = 3 X 19+3 X 23 = 126\nSo, the middle number is (147 - 126 ) = 21 The answer is (E).\nquestion: Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?\nOptions:\n(A) 8 hrs 18 min\n(B) 8 hrs 85 min\n(C) 8 hrs 15 min\n(D) 7 hrs 15 min\n(E) 8 hrs 25 min\nanswer: Stream of consciousness: Number of pages typed by Ronald in 1 hour = 32/6 = 16/3\nNumber of pages typed by Elan in 1 hour = 40/5 = 8\nNumber of pages typed by both in 1 hour = (16/3 + 8) = 40/3\nTime taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min The answer is (C).\nq: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 2397\n(B) 2401\n(C) 2411\n(D) 2423\n(E) None of the above\na: Stream of consciousness: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60. The answer is (B).\nquestion: On a clock, how many times a day do the minute and hour hand overlap?\nOptions:\n(A) 10\n(B) 11\n(C) 20\n(D) 22\n(E) 24\nanswer: Stream of consciousness: 22 times: 12:00:00, 1:05:27, 2:10:55, 3:16:22, 4:21:49, 5:27:16, 6:32:44, 7:38:11, 8:43:38, 9:49:05, 10:54:33. Each twice a day. The answer is (D).\nq: A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 10 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph\na: Stream of consciousness: Speed downstream = d/t = 95/(2 1/2) = 38 kmph\nSpeed upstream = d/t = 45/(2 1/2) = 18 kmph\nThe speed of the stream = (38 - 18)/2 = 10 kmph The answer is (A).\nq: 10 men and 15 women together can complete a work in 5 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) 150 days\n(C) 177 days\n(D) 187 days\n(E) 225 days\na:",
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"content": "Stream of consciousness: 1 man's 1 day work = 1/100\n(10 men + 15 women)'s 1 day work = 1/5\n15 women's 1 day work = (1/5 - 10/100) = 1/10\n1 woman's 1 day work = 1/150\n1 woman alone can complete the work in 150 days. The answer is (B).",
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"content": "question: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 2, 4 and 8, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\nOptions:\n(A) 20\n(B) 22\n(C) 24\n(D) 27\n(E) 30\nanswer: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes The answer is (D).\nq: There are 10 female and 15 male in a work place. In how many ways can a person can be selected?\nOptions:\n(A) 20\n(B) 15\n(C) 18\n(D) 40\n(E) 25\na: Stream of consciousness: No of ways = 10+ 15 = 25 The answer is (E).\nquestion: 3 candidates in an election and received 2136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?\nOptions:\n(A) 45%\n(B) 49%\n(C) 54%\n(D) 59%\n(E) 61%\nanswer: Stream of consciousness: Total number of votes polled = (2136 + 7636 + 11628) = 21260\nSo, Required percentage = 11628/21260 * 100 = 54% The answer is (C).\nq: The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?\nOptions:\n(A) 35\n(B) 37\n(C) 46\n(D) 48\n(E) 50\na: Stream of consciousness: Sum of all the 13 results = 13 * 60 = 780\nSum of the first 7 of them = 7 * 57 = 399\nSum of the last 7 of them = 7 * 61 = 427\nSo, the 8th number = 427 + 399 - 780 = 46. The answer is (C).\nquestion: Which of the following is equal to (y+1)!/y!?\nOptions:\n(A) y-1\n(B) 1+(1/y) \n(C) 1\n(D) y+1\n(E) y\nanswer: Stream of consciousness: (y + 1)! = (y + 1) * x!\n(y + 1)!/y! = y + 1 The answer is (D).\nquestion: A small company employs 3 men and 5 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 men?\nOptions:\n(A) 1/14\n(B) 1/7\n(C) 3/7\n(D) 2/7\n(E) 1/2\nanswer:",
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"content": "Stream of consciousness: Total ways to choose 4 employees from 8 employees = 8C4\nTwo women = 5C2\nTwo Men = 3C2\nP = (5C2 * 3C2)/8C2 = 3/7 hence The answer is (C).",
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"content": "[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: With hospitals and nursing homes tending to thousands of patients every year accidents can---and do ---happen. These incidents whether they are through carelessness or otherwise, can leave patients feeling powerless. That's not the case. \"There is growing public awareness. People are feeling they have more rights and they have tools in hand to make a complaint,\" said Ralph Montano, spokesman for the California Department of Public Health, which regulates hospitals and long term care facilities in the state. That department received more than 6000 complaints about hospitals in 2007; in the most recent year statistics are available. The complaints can be about mixed-up lab results, medicine errors, foreign objects left in a patient during surgery or a host of other topic. Similarly, the California Department of Aging received 43000 nursing home complaints in 2009. Some said patient abuse or neglect of patients; others reported missing items. And some commented on the quality of the food. But finding the channels through them to put forward a complaint can be tiring and time consumption. Many consumers simply don't bother, and some become lost in the system. Whether the complaint is against a hospital or a long-term care facility, the process is similar--- and many people can help, including the facility's staff, insurance company representatives and state regulators. If you want to make a complaint while in the hospital, Patti Harvey, vice president of quality and patient care services for Kaiser Permanente in Southern California, recommends talking with the bedside nurse. If that doesn't work, you can talk with other people higher in the chain of command, up to the hospital administrator. If the problem isn't still taken care of ---say you disagree with your treatment plan or have a problem with your doctor---member service offices at each hospital can help address your concerns. Options: A Peter---a medical officer from the government. B Rudy---a headmaster of a medical university. C Tom---a teacher of a medical school. D Jack---a representative of an insurance company. Answer: D Jack---a representative of an insurance company. Question:\n****\n[A]: Who can help if you complain against a hospital or a long term care facility?\n\n\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: Since the end of World War I (WWI) in 1918,Canadians, and millions of others around the world have paused at the 11thhour of the 11thday of the 11thmonth to honour the sacrifices our soldiers have made in different wars, fighting for the freedoms that we all enjoy today. Known as Remembrance Day, the day originated as a tribute to the soldiers of WWI, a dark period for our young country, which claimed the lives of over 60,000 military personnel and civilians and over 16 million dead worldwide. As there are no more surviving soldiers of WWI,today we rely on the wisdom and words of those soldiers who fought in the wars that followed,and this day now also recognizes their heroic contribution. They tell us to always remember what those brave souls fought for, and all they ask in return is that we never forget. That's why we wear the red poppy ;that's why when we see a soldier in uniform we should stop him or her and say \"Thank you\" ; that's why we take a pause from our busy lives for two short minutes today to honor that request. Yet this message is fading away, year after year. Take for example the terrible decision to allow parents to excuse students from Remembrance Day ceremonies at school. Not only is this disrespectful, it distances the student from his or her classmates. It is difficult to understand why any Canadian parent would want to remove their child from the time-honored tradition of reading the poem In Flanders Fields, while a wreath of poppies is laid. It is more important than ever to teach school-aged children about our history,no matter how violent it was. Sheltering them from the realities of war is a great disservice. Understanding why conflicts happened, or happen today, can help shape choices and decisions they make as adults. Of course, because we live in a free society, we cannot force an individual to do something. _ is unfortunate, but some parents now have their child \"opt-out\" of the services. These people should be reminded they are free to make such choices only because of the men... Options: A It's only held in Canada. B Its ceremony lasts 11 hours. C It falls on November 11 theach year. D It's to celebrate the country's independence. Answer: C It falls on November 11 theach year. Question:\n****\n[A]: Which of the following is true about Remembrance Day?\n\n\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: A weather map is an important tool for geographers. A succession of three or four maps presents continuous picture of weather changes. Weather forecasters are able to determine the speed of air masses and fronts to determine whether an individual pressure aroa is deepening or becoming shallow and whether a front is increasing or decreasing in intensity .They are also able to determine whether an air mass is retaining its original characteristics or taking on those of the surface over which it is moving. Thus, a most significant function of the map is to reveal a summary picture of conditions in the atmosphere at a given time. All students of geography should be able to interpret a weather map accurately.Weather maps contain an enormous amount of information about weather conditions existing at the time of observation over a large geographical area. They reveal in a few minutes what otherwise would take hours to describe. The United States Weather Bureau issues information about approaching storms, floods, frosts and all climatic conditions in general. Twice a month it issues a 30-day\"outlook\" which is a rough guide to weather conditions likely to occur over broad areas of the United States. These 30-day outlooks are based upon an anaiysis of the upper air levels which often set the stage for development of air masses, fronts and storms. Considerable effort is being exerted today to achieve more accurate weather predictions, with identifying and tracking storms over regions which have but few meteorological stations. Extensive experiments are also in progress for weathef modification studies. Options: A floods B fronts C temperature changes D frosts Answer: C temperature changes Question:\n****\n[A]:",
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"content": "One characteristic of weather maps NOT mentioned by the author in this passage is _ .",
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"content": "Rationale: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.\nThe answer: (A)\nQuestion: In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 48\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080\n\n\nReasoning: Sum of the numbers 2345672 is 29 which is not multiple of 9\nAdd 7 which makes the sum 36 which is multiple of 9\nSo digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9)\nAns: (C)\nQuestion: How should be added in order to make 2345672 this number is divisible by 9?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 9\n\n\nRationale: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.\nThe answer: (A)\nQuestion: 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) 8\n(E) 9\n\n\nReasoning: (Apples + Oranges) - (Oranges + Peaches) = 7\nApples - Peaches = 7\nAns: (C)\nQuestion: The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples?\nOptions:\n(A) 2\n(B) 8\n(C) 7\n(D) 6\n(E) 4\n\n\nRationale: Total boxes = 23\nFilled with toys = 16\nFilled with appliance = 7\nTotal boxes for sale = 8\nToy boxes for sale = 4\nAppliance boxes for sale = 4\nAppliance boxes not for sale = 7 - 4 = 3\nThe answer: (C)\nQuestion: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 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.\n\n\nRationale: Distance travelled = 140 + 160m = 300m\nSpeed = 60 * 5/8 = 50/3m\nTime = 300 * 3/50 = 18 Seconds\nThe answer: (B)\n",
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"content": "Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?\nOptions:\n(A) 34 Seconds\n(B) 18 Seconds\n(C) 41 Seconds\n(D) 24 Seconds\n(E) 29 Seconds",
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cot_83931
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"content": "Rationale: Since Rohit does not want to sit on the middle seat or at either end (3 chairs), then he can choose 2 chairs to sit. The remaining 4 people can sit in 4! ways. Thus the # of arrangements is 2*4! = 48.\nThe answer: (A)\nQuestion: In how many ways can you seat 5 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?\nOptions:\n(A) 48\n(B) 1720\n(C) 2880\n(D) 5040\n(E) 10080\n\n\nReasoning: Sum of the numbers 2345672 is 29 which is not multiple of 9\nAdd 7 which makes the sum 36 which is multiple of 9\nSo digit becomes 2345679 (as we know that if sum multiple of 9 then it is divisible of 9)\nAns: (C)\nQuestion: How should be added in order to make 2345672 this number is divisible by 9?\nOptions:\n(A) 5\n(B) 6\n(C) 7\n(D) 8\n(E) 9\n\n\nRationale: If he draws any combination of 3 socks he will definitely have the matching pair of either colour.\nThe answer: (A)\nQuestion: 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) 8\n(E) 9\n\n\nReasoning: (Apples + Oranges) - (Oranges + Peaches) = 7\nApples - Peaches = 7\nAns: (C)\nQuestion: The total number of apples and oranges in the refrigerator is 7 more than the total number of oranges and peaches in the refrigerator. How much lesser is the number of peaches in the refrigerator as compared to apples?\nOptions:\n(A) 2\n(B) 8\n(C) 7\n(D) 6\n(E) 4\n\n\nRationale: Total boxes = 23\nFilled with toys = 16\nFilled with appliance = 7\nTotal boxes for sale = 8\nToy boxes for sale = 4\nAppliance boxes for sale = 4\nAppliance boxes not for sale = 7 - 4 = 3\nThe answer: (C)\nQuestion: In Sam's hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 4 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.\n\n\nRationale: Distance travelled = 140 + 160m = 300m\nSpeed = 60 * 5/8 = 50/3m\nTime = 300 * 3/50 = 18 Seconds\nThe answer: (B)\n",
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"content": "Question: A bullet train 140 m long is running at 60 kmph. In how much time will it pass a platform 160 m long?\nOptions:\n(A) 34 Seconds\n(B) 18 Seconds\n(C) 41 Seconds\n(D) 24 Seconds\n(E) 29 Seconds",
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"content": "question: The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?\nOptions:\n(A) 100\n(B) 20\n(C) 30\n(D) 40\n(E) 50\nanswer: Stream of consciousness: No of people from 10 - 11 is x\nNo of people from 11 - 12 is 11x/10\nNo of people from 12 to 1 is (6/5)(11x/10)\nGiven that 11x/10 + (6/5)(11x/10) = 121x / 50 = 242\nThen x = 100 The answer is (A).\nq: Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:\nOptions:\n(A) 50\n(B) 54\n(C) 47\n(D) 40\n(E) 45\na: Stream of consciousness: Area of tile = 60*56 = 3360\nArea of floor = 560*240 = 134400\nNo of tiles = 134400/3360 = 40\nSo, the no of tile = 40 The answer is (D).\nquestion: A bus travels k miles in n hours. How many miles will it travel in x hours at the same rate?\nOptions:\n(A) knx\n(B) k⁄n\n(C) x\n(D) kx⁄n\n(E) kn⁄x\nanswer: Stream of consciousness: Given Speed = k/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDistance = k/n*x = kx/n The answer is (D).\nq: 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\na: Stream of consciousness: Required number of ways = (7C5 x 3C2) = (7C2 x 3C1) = = 63. The answer is (A).\nquestion: What is the area of a square with perimeter 8P ?\nOptions:\n(A) 16p^2\n(B) 4P^2\n(C) P^2/4\n(D) P/16\n(E) P^2/16\nanswer: Stream of consciousness: Each side is 2p\nA = (2p)^2 = 4(p^2) The answer is (B).\nquestion: What percent is 70 of 280?\nOptions:\n(A) 12 %\n(B) 25 %\n(C) 26 %\n(D) 27 %\n(E) 28 %\nanswer:",
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"content": "Stream of consciousness: 70/280 = 1/4\n1/4 × 100 = 25 % The answer is (B).",
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"content": "question: At the A-Street Fish Market a vendor sells fresh caught fish. His store is filled with 2/7 bass, 1/5 tuna, 1/7 trout, and the rest are catfish. If a customer just bought 1/7 of all the tuna and 1/7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?\nOptions:\n(A) 30/71\n(B) 4/7\n(C) 5/43\n(D) 1/2\n(E) 1/5\nanswer: Stream of consciousness: Bass = 2/7 = 10/35\nTuna = 1/5 = 7/35\nTrout = 1/7 = 5/35\nCatfish = 1 - (10/35 +7/35 + 5/35) = 13/35\nPurchased: Tuna = 7/35 - (7/35)(1/7) = 6/35, and\nCatfish = 13/35 - (13/35)(1/7) = 12/35\nStocked: doubling the number of bass (2)(10/35) = 20/35\nNow: 20 + 6 + 5 + 12 = 43\nTrout proportion is now 5/43. The answer is (C).\nq: 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) 120 m\n(B) 180 m\n(C) 324 m\n(D) Cannot be determined\n(E) None of these\na: Stream of consciousness: Speed = 60 * 5/18 = 50/3 m/sec\nLength of the train = speed * time = 50/3 * 9 = 150 m The answer is (E).\nquestion: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 9269\n(B) 9261\n(C) 9262\n(D) 9231\n(E) 9263\nanswer: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (B).\nq: If x is an odd integer, which of the following is an even integer?\nOptions:\n(A) 2x-x\n(B) x+1\n(C) 2x+3\n(D) x^3\n(E) 3x+2x\na: Stream of consciousness: Plug in an odd integer; in this case 3\n(2*3)-3 = 3 Odd\n3+1 = 4 Even\n(2*3)+3 = 9 Odd\n3^3 = 27 Odd\n(3*3)+(2*3) = 9 + 6 = 15 Odd The answer is (B).\nquestion: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?\nOptions:\n(A) 2\n(B) 5\n(C) 8\n(D) 9\n(E) 10\nanswer: Stream of consciousness: Let the boys are X, then girls are 7X, total = X+7X = 8X\nSo it should be multiple of 8, 30 is not a multiple of 8. The answer is (C).\nquestion: 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\nanswer:",
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"content": "Stream of consciousness: 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 The answer is (C).",
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"content": "Rationale: Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5\nThe answer: (E)\nQuestion: If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these\n\n\nReasoning: Original perimeter = x\nHence original side = x/4\nNew side = 5x/4\nNew perimeter = 4*5x/4 = 5x\nAns: (C)\nQuestion: 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\n\n\nRationale: D = 130 + 150 = 280\nS = 36 * 5/18 = 10 mps\nT = 280/10 = 28 sec\nThe answer: (A)\nQuestion: How many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?\nOptions:\n(A) 28 sec\n(B) 23 sec\n(C) 24 sec\n(D) 25 sec\n(E) 26 sec\n\n\nReasoning: It is clear that 22 x 45 = 10 x 55 + K + 11 x 40 ⇒⇒ K = 0\nAns: (B)\nQuestion: The average mark obtained by 22 candidates in an examination is 45. 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) 2\n(B) 0\n(C) 9\n(D) 8\n(E) 6\n\n\nRationale: |48 - 7n| represents the distance between 48 and 7n on the number line. Now, the distance will be minimized when 7n, which is multiple of 7, is closest to 48. Multiple of 7 which is closest to 48 is 49 (for n = 7), so the least distance is 1: |48 - 49| = 1.\nThe answer: (A)\nQuestion: If n is an integer, then the least possible value of |48 - 7n| is?\nOptions:\n(A) 1\n(B) 0\n(C) 5\n(D) 4\n(E) 2\n\n\nRationale: Formula = √a×b\nA = 81 and B = 100\n√81×100 = 9 × 10 = 90\nThe answer: (E)\n",
"role": "user"
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{
"content": "Question: Find the mean proportional between 81 & 100?\nOptions:\n(A) A) 59\n(B) B) 61\n(C) C) 63\n(D) D) 65\n(E) E) 90",
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flan_v2
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flan_v2_51820
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[
{
"content": "Question: Write a multi-choice question for the following article, with the given choices and answer: Article: A young man is sitting by the road. He is eating something. A policeman is coming over. At once the man gets up quickly and runs down the road. The policeman runs after him. Te man runs very fast, but the policeman runs faster. After a few minutes, the policeman catches him. \"Where are you going?\" says the policeman. \"You must be a criminal if you run like that when you see a policeman.\" \"No, no,\" says the man. \"I'm not a criminal. I'm just too fat, you see, and the doctor tells me I must always run fast after eating.\" \"I see,\" says the policeman. \"You're running to help to lose weight.\" Options: A bus B man C friend D policeman Answer: D policeman Question:\nAnswer: A _ is coming.\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: Mike was the kind of guy you love to hate. He was always happy and always had something interesting to say. If someone asked him how he was doing, he would reply, \"Couldn't be better!\" He was really a care-free young man and never felt tired. Mike used to say, \"Each morning I wake up and say to myself, 'Mike, you have two choices today. You can choose to be happy or you can choose to be upset.' I choose to be happy. Each time something happens, I am always ready to learn a good lesson. I choose to learn from life.\" I tried to understand what he said. Indeed life is all about choices. Every situation is a choice. The bottom line is: You're living your life and you make it either happy or sad. Several years later I had a car accident and my legs were seriously injured. When I was lying on the ground, I remembered that I had two choices: I could choose to live or choose to die. I chose to live. People like to say, \"Choose the one you love and love the one you choose.\" Why not choose the one we love and live happily? Options: A It's bad. B It's very good. C It isn't bad. D It isn't very good. Answer: B It's very good. Question:\n****\n[A]: What does \"Couldn't be better!\" mean?\ninput: Please answer the following: Write a multi-choice question for the following article, with the given choices and answer: Article: Last summer my parents and l went to Yunnan. It left us wonderful memories. If you like a spring climate ,clean air and nice views, then Yunnan is the best place for you! Day l Shanghai-Kunming Activities: Arrive in Kunming. Hotel check-in. Meals: No meals (We flew to Kunming. After our arrival in Kunming, the guide took us to our hotel by bus. Then he showed us around the shopping center for the rest of the day.) Day 2 Kunming Activities: Visit Stone Forest, Bird & Flower Market. Meals: Breakfast, Chinese Lunch (In the Bird&Flower Market, we saw many kinds of flowers and birds as well as some traditional Chinese arts.) Day 3 Dali-Lijiang Activities: Arrive in Lijiang. Visit Lijiang Dayan Ancient City, and its famous Square Street. Meals: Breakfast, Chinese Lunch (The Ancient City of Lijiang is known as Dayan Town. It has a long history of over 800 years.) Options: A visited the Stone Forest B visited Lijiang C went to the Bird & Flower Market D went to the shopping center Answer: D went to the shopping center Question:\n++++++++++\noutput: The writer and his parents _ on the first day.\nPlease answer this: Write a multi-choice question for the following article, with the given choices and answer: Article: My school is not big but beautiful. There is a garden in the school. There are many flowers in the garden. The flowers are colorful-they are all kinds of colours. In the center of the garden, there is a pool. The fish are swimming in it. They look very happy and free. There are two teaching buildings around the garden. There are 18 classrooms in it. And there are also many other rooms in it -- music room, reading room, language lab and library. There are all kinds of books in the library, such as storybooks, cartoon books and magazines. You can read them after class. The playground is behind the teaching building. We do morning exercises on the playground every day. On the playground, you can play sports--running, playing basketball and playing badminton. I like my school very much. Options: A Students. B Teachers. C Sports. D Buildings. Answer: B Teachers. Question:\n++++++++\nAnswer: What is not mentioned in the text?\nProblem: Write a multi-choice question for the following article, with the given choices and answer: Article: Better think twice before choosing a _ for email, online bank or shopping. Simple passwords are easy to be stolen. A password is like a key to your home. If someone steals it, he'll get chances to steal something else. We use passwords everywhere in our life. We are so used to passwords that we don't pay any attention to them until we lose or forget one. A study of 28,000 passwords recently stolen from a popular website showed that people often do the easy thing. It found that 16% took a first name as a password. Another 14% used the easiest keyboard combinations such as \"12345678\"or \"QWERTY\". 5% of the stolen passwords were names of television shows or stars popular with young people. 3% of the passwords expressed feelings like \"I don't care\", \"Whatever\", \"I love you\" or their opposite, \"I hate you\". Robert Graham, who did the study, advises people to choose a password that is longer than eight characters with one capital letter and one symbol. Of course, safe passwords don't mean those hard to remember. Forgetting your password is sometimes a big headache for you. Maybe, the perfect password is easy for you and hard for others. ,,. Options: A ZWVHPO. B password34 C wy64#OMv D Ihateyou Answer: C wy64#OMv Question:\n\nA: Which of the following passwords is considered the safest?\ninput: Please answer the following: Write a multi-choice question for the following article, with the given choices and answer: Article: Most people want to work, but in today's word ,it is more difficult to find work for everybody.The economics of the world need to grow by 4% each year just to keep the old number of jobs for people. Often this is not possible,and so more people are out of work. Some people have no jobs now because new machines can do the work of many people do in a short time.Also, machines do not ask for more money and longer holidays. In all the countries of the world, machines are taking work from people ,not only in factories but also on the farms. One machine can often do the work of forty people. About 75,000 people are moving to the cities a day to look for jobs ,but only 70% of them can find jobs . Options: A Machines can do the work of many people do in a short time. B Machines do not ask for more money and holidays. C Two machines can do the work of eighty people. D Machines cant't take work from people at all. Answer: D Machines cant't take work from people at all. Question:\n++++++++++\noutput:",
"role": "user"
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{
"content": "About machines,which of the following is NOT RIGHT? _ .",
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flan_v2
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flan_v2_50877
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[
{
"content": "[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: Everyone dreams of changing the world. But can teenagers really make a difference? And how can they go about it? Michael Norton's book 365 Ways to Change the World is a good starting point. The book gives an idea or task for every single day of the year. The tasks include offering to work at a local homeless shelter and planting a tree. The book says that one simple act, no matter how small, can help someone in need. It may even influence other teens to do something. Nathan Anthony, a student at Maple High School in Modesto, California, US, agrees. \"It is impossible to get anything in life without giving something to someone or working hard at school or workplace,\" Anthony said. Another Maple student, Ariane Mota, has the same idea.\" Giving is our way of repaying those who help us,\" she said.\" Whether it is a helping hand or a donation, we should help others to make their day or life better.\" But how often do teens see peers helping a stranger or doing something nice for someone? According to Anthony, not a lot. He and Mota both believe this needs to be changed. \"I help my friends by telling them that their lives are better than those poorer people,\" Anthony said.\" Humor is also a great tool.\" So whether you're helping to find a cure for bad illness or simply smiling at a stranger, do something every day to help change the world for the better. Options: A Eating a delicious meal B Telling friends that their lives are better C Helping find a cure for cancer D Smiling at a stranger Answer: A Eating a delicious meal Question:\n****\n[A]: Which of the following does not change the world for the better?\n\n\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: The Internet is becoming important in our life. How much do you know about it? The following questions and their answers will help you to know more about the Internet. What is the Internet? The Internet is a large, world-wide collection of computer networks . A network is a small group of computers put together. The Internet is many different kinds of networks from all over the world. These networks are called the Internet. If you have learned to use the Internet, you can have a lot of interest on the World Wide Web . What is the World Wide Web? The World Wide Web has been the most popular development of the Internet. It is like a big electronic book with millions of pages. These pages are called homepages. You can find information about almost anything in the world on these pages. For example, you can use the Internet instead of a library to find information for your homework. You can also find information about your favourite sport or film star, talk to your friends or even do some shopping on the pages. Most pages have words, pictures and even sound or music. What is e-mail? Electronic mail (e-mail) is a way of sending messages to other people. It's much quicker and cheaper than sending a letter. If you want to use e-mail, you must have an e-mail address. This address must have letters and dots and an @ (means \"at\"). For example: Lily @ Yahoo.com. Write a message, type a person's e-mail address, and then send the message across the Internet. People don't need to use stamps, envelopes or go to the post office because of the invention of the Internet. Quick, easy and interesting -- that's the Internet. Options: A an electronic book B homepages C an electronic page D an interesting picture Answer: A an electronic book Question:\n****\n[A]: The World Wide Web is like _ .\n\n\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: What sport do you like best? Daniel: I like basketball best. I often watch NBA. I play basketball every day. I am short, but I am strong. I am a good basketball player in our school. Lucy: Ping-ping is my favourite sport. I am a Chinese and Chinese ping-pong players are the best in the world. I want to be a good ping-pong player too. I often play it every afternoon. Tom: I am tall and strong. I like football best. My father is a football player. I often watch my father play football. My father often teaches me to play football. I play with my father and others in the park every day. Options: A Every morning. B Every afternoon. C Every evening. D At the weekend. Answer: B Every afternoon. Question:\n****\n[A]: When does Lucy often play ping-pong?\n\n\n[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: On Friday afternoon, Mr. Tian, the Chinese teacher asks his students to write an article . The topic is My Beautiful Mother. Mr. Tian says to the students,\"You can go home after you finish it. \" All the students except Xiao Hong begin to write. They want to go home early. Xiao Hong is sitting there and thinks of her activities on weekends. She usually plays basketball on Monday afternoon if it is sunny. She plays volleyball on Tuesday afternoon. On Wednesday she plays tennis. She often plays ping-pong on Thursday. And she likes playing soccer on Friday afternoon. She raises her head and looks around. There are only five students except her in the classroom. Forty students hand in their articles and leave for home. She is a little worried . She thinks it over, and then, she has a good idea. She writes down the words on the paper: My mother is a tall and healthy woman. She is really beautiful. If you look at her daughter, you can know all about her. Options: A her lessons B playing balls C playing the piano D singing and dancing Answer: B playing balls Question:\n****\n[A]:",
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{
"content": "Xiao Hong is good at _ .",
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cot_82144
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[
{
"content": "question: In case L 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) M and N\n(E) T and U\nanswer: Stream of consciousness: M and N should serve on A The answer is (D).\nq: A sells a Cricket Bat to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays $222 for it, the cost price of the Cricket Bat for A is:\nOptions:\n(A) 150\n(B) 148\n(C) 130\n(D) 160\n(E) 210\na: Stream of consciousness: 125% of 120% of A = 222\n125/100 * 120/100 * A = 222\nA = 222 * 2/3 = 148. The answer is (B).\nquestion: A bag contains nine black balls, three red balls and four red balls. In how many ways can two balls be drawn from the bag?\nOptions:\n(A) ¹⁶C₂\n(B) ⁹C₂\n(C) ³C₂\n(D) ¹²C₂\n(E) ¹⁴C₂\nanswer: Stream of consciousness: Total number of balls = 9 + 3 + 4\nTwo balls can be drawn from 16 balls in ¹⁶C₂ ways. The answer is (A).\nq: A telephone company needs to create a set of 3-digit area codes. The company is entitled to use only digits 6, 4 and 3, which can be repeated. If the product of the digits in the area code must be even, how many different codes can be created?\nOptions:\n(A) 20\n(B) 22\n(C) 26\n(D) 24\n(E) 30\na: Stream of consciousness: Total # of codes possible is 3*3*3 = 27. Oit of those 27 codes only the product of 333 and will be odd, the remaining 26 will have either 2 or 4 in them, which ensures that their product will be even. Therefore the number of codes where the product of the digits is even = (total) - (restriction) = 27 - 1 = 26. The answer is (C).\nquestion: A women purchased 3 towels @ Rs.100 each, 5 towels @ Rs.150 each and two towels at a certain rate which is now slipped off from his memory. But she remembers that the average price of the towels was Rs.150. Find the unknown rate of two towels?\nOptions:\n(A) 400\n(B) 450\n(C) 500\n(D) 550\n(E) 600\nanswer: Stream of consciousness: 10 * 150 = 1500\n3 * 100 + 5 * 150 = 1050\n1500 – 1050 = 450 The answer is (B).\nquestion: If rupee one produces rupees nine over a period of 42 years, find the rate of simple interest?\nOptions:\n(A) 22 1/7 %\n(B) 22 3/2 %\n(C) 21 3/7 %\n(D) 22 1/2 %\n(E) 22 1/2 %\nanswer:",
"role": "user"
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{
"content": "Stream of consciousness: 9 = (1*42*R)/100\nR = 21 3/7 % The answer is (C).",
"role": "assistant"
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flan_v2
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flan_v2_53864
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[
{
"content": "(Q).\nI'm taking a test and have to guess the right answer to the question after the article. Article: Who would win in a competition to memorize numbers, a chimp or a teenager? The teenager? Think again. Scientists have proved that chimps perform better than human beings when it comes to this kind of problem. We may have to rethink what we believe about human memory. Memory is our ability to learn something, save it and recall it when needed. Our memories are important to our sense of self, our personalities, and our ability to understand the world. Scientists say that there are different types of memory. There is short-term memory and long-term memory. Your short-term memory saves information for a few seconds or a few minutes. For example, the time it takes to compare the prices of a few items in a store. Long-term memory involves the information you try hard to keep, because it's meaningful to you (an example is data about family and friends. ) And then there is visual memory and sound memory. But these are not hard and fast: scientists argue a lot about the nature of memory. Scientists have also found that people memorize things in different ways. Some memorize better with the help of pictures. Others are helped more by sounds. One thing's for sure. If you can combine different kinds of memory together, you will remember a lot! So why not try pictures with English words? At the same time listen to recordings of the same group of words. It may help when it comes to memorizing it. Imagination and association can be useful too. By imagination scientists mean picturing a word in your mind. Association means relating the word to something you already know. Question: According to the article, which of the following is TRUE? Options: A: Memory is the most important ability for human beings. B: Long-term memory usually involves more important things. C: Scientists have made sure of the nature of memory. D: Imagination is better than association in memorizing things.\n(A).\nB\n\n\n(Q).\nI'm taking a test and have to guess the right answer to the question after the article. Article: Every student in Australia must wear their school uniforms when they are at school.There are many kinds of uniforms such as suits,dresses,shorts,skirts,shirts,T-shirts and so on. Class usually begins at 8:00 a.m.in most Australian schools,and sometimes it begins at 10:00 a.m.You needn't go to class with your schoolbag,you can put it in your own cabinet and only take a few books.There are many subjects:English,Maths,Biology,Geography,History,Physics,Chemistry ,Music,Computer,PE,Chinese Drama and so on.In a computer class,each student sits at a table and does their work.They are very quiet.The teacher goes around them to give directions to them.One class is about two hours.At noon all the students have lunch at school.Their lunch is sandwiches and some fruit. In the afternoon there's only one class.School ends at 3:30 P.m.Some students can swim or play ball games until 5:30 P.m.Then they must go home.They seldom do homework,even the students in Grade Eleven.This is the school life of the Students in Australia. Question: Which sentence is RIGHT? Options: A: The students go to class with their schoolbags. B: One class is about one hour. C: The students always have much homework. D: The students don't often do homework.\n(A).\nD\n\n\n(Q).\nI'm taking a test and have to guess the right answer to the question after the article. Article: If you like adventurous cartoons, then Koala Kid is the movie for you. Koala Kid tells us a story of a white koala named Johnny. It lives in a community of the gray koalas. He is not confident because of his color. But he thinks he has special talents. So the goes on a magic trip. On his trip he meets Miranda, Hamish and Lokie. And they become friends. They fight with their wits against Bog. I think this movie tells us: whatever you look like, you can become a hero. I give the movie five stars. It is a great movie for ages six and up. Because there are some scary parts in the movie, I wouldn't recommend it to kids under the age of six. ,. Question: Which of the following is NOT true? Options: A: It's an adventurous movie. B: It's mainly about a white mouse. C: It has scary parts. D: It's a cartoon.\n(A).\n",
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"content": "B",
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cot
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cot_70594
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[
{
"content": "q: 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) 28869\n(C) 10002\n(D) 18089\n(E) 10004\na: Stream of consciousness: 100 * 100 = 10000\n125 * 80 = 10000 The answer is (A).\nquestion: 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\nanswer: Stream of consciousness: 90 * 10/60 = 15 kmph The answer is (A).\nq: 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) 4\na: Stream of consciousness: 1 to 9 = 9 * 9 = 81\n1 to 5 = 5 * 10 = 50\n5 to 9 = 5 * 8 = 40\n5th = 50 + 40 = 90 – 81 = 9 The answer is (A).\nquestion: 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: 120, 30, 240, 25, ___, 20, 480, 15... Which number is missing?\nOptions:\n(A) 120\n(B) 360\n(C) 340\n(D) 960\n(E) 280\nanswer: Stream of consciousness: B 360\nThis is an alternating addition and subtraction series. In the first pattern, 120 is added to each number to arrive at the next. In the second, 5 is subtracted from each number to arrive at the next. The answer is (B).\nq: How much is 80% of 40 is greater than 4/5 of 15?\nOptions:\n(A) 12\n(B) 20\n(C) 18\n(D) 12\n(E) 81\na: Stream of consciousness: (80/100) * 40 – (4/5) * 15\n32 - 12 = 20 The answer is (B).\nq: During a sale, the price of a pair of shoes is marked down 10% 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) 15%\n(E) 90%\na:",
"role": "user"
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"content": "Stream of consciousness: Assume the price = 100\nPrice during sale = 90\nPrice after sale = 100\nPercent increase = 10/90*100 = 11% approx. The answer is (C).",
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flan_v2
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flan_v2_75618
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[
{
"content": "You will be given a definition of a task first, then some input of the task.\nIn this task, you're given an article, a question which often contains a blank and four options (associated with \"A\", \"B\", \"C\", \"D\"). Your task is to find the correct answer (from the given options) for the question from the given article and return one of the options from \"A\", \"B\", \"C\", and \"D\". Do not generate anything else apart from one of the following characters: \"A\", \"B\", \"C\", \"D\". There is only one correct answer for each question.\n\nArticle: On March 19, 2013, Malala Yousafzai, a 15-year-old Pakistani student and women's-education activist , returned to the classroom for the first time since being attacked by a member of the Taliban on October 9, 2012. Malala was shot on her way home from school in Mingora, Pakistan. The Taliban said that they did the attack. The group said the attack should be a warning to others. Malala was targeted because she expresses her opinion publicly about girls' rights to education. After a long period of recovery, Malala is starting as a ninth-year student at Edgbaston High School. It is the oldest independent girl's school in Birmingham, England. Though she has no specific plans to return to Pakistan, Malala still speaks out as a voice for change in her country, and everywhere. \"I'm excited that today I have realized my dream of going back to school. I want all girls in the world to have this kind of chance,\" Malala said in a statement . Malala has been an Internet blogger since she was 11 years old. In 2011 she was awarded Pakistan's National Peace Award for her bravery in writing about the difficulties of life and education in the shadow of the Taliban. She has spoken publicly about children's rights and been nominated for an international children's peace prize. \n Question: Why did the Taliban attack Malala? \n Options: (A) She is a Pakistani student. (B) She was targeted without being planned. (C) She didn't want to be a member of the Taliban. (D) She spoke publicly about girls' rights to education.\nOutput:",
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"content": "D",
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cot
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cot_75589
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[
{
"content": "question: What amount does Kiran get if he invests Rs. 18000 at 12% p.a. simple interest for four years?\nOptions:\n(A) 29893\n(B) 26640\n(C) 29989\n(D) 28800\n(E) 29883\nanswer: Stream of consciousness: Simple interest = (18000 * 4 * 12)/100 = Rs. 8640\nAmount = P + I = 18000 + 8640 = Rs. 26640 The answer is (B).\nq: An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 4 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible?\n--\nOptions:\n(A) 12\n(B) 360\n(C) 60\n(D) 180\n(E) 720\na: Stream of consciousness: 5C3 * 4C2 * 4C2 = 10*6*6 = 360. The answer is (B).\nquestion: If J is the least positive integer that is divisible by every integer from 10 to 15 inclusive, then J/26 is =\nOptions:\n(A) 1155\n(B) 2310\n(C) 4620\n(D) 30030\n(E) 60060\nanswer: Stream of consciousness: The integer should be divisible by: 10, 11, 12, 13, 14 and 15, that is 5*2, 11, 3*2^2, 13, 2*7, and 3*5. The least common multiple of these integers is the product of 13, 11, 7, 5, 3 and 2^2. Then, R/26 is (13 * 11 * 7 * 5 * 3 * 2^2)/2 * 13 = 11*7*5*3*2 = 2310. The answer is (B).\nq: A family with 1 mother, 1 father, and 4 children sit in a car with 2 front seats and 4 back seats. If the mother drives with a child in the front, and the father sits in the back center seat with the other three children on either side of him, how many seating arrangements are possible?\nOptions:\n(A) 3\n(B) 4\n(C) 6\n(D) 24\n(E) 10\na: Stream of consciousness: Mother has a fixed place and father, so there are 4! ways to arrange the children, hence The answer is (D).\nquestion: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A) 4/11\n(B) 1/2\n(C) 15/22\n(D) 200/9\n(E) 11/4\nanswer: Stream of consciousness: P1 takes 12 hrs\nRate for P2P3 together = 1/40 + 1/50 = 9/200\nTherefore they take 200/9\nRatio = 200/9 = The answer is (D).\nquestion: There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%?\nOptions:\n(A) 1\n(B) 2\n(C) 50\n(D) 49\n(E) 97\nanswer:",
"role": "user"
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"content": "Stream of consciousness: We have 99 managers and 1 director. That 1 director to compose 2% of the total number of people, there must be 50 people in the room, hence 50 managers must leave. The answer is (C).",
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flan_v2
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flan_v2_49520
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"content": "Read the article and select the best answer. Article: A nickname is a shortened form of a person's name.A nickname can also be a descriptive name for a person,place or thing,Many American cities have nicknames.Nicknames can also be funny. Los Angeles,California is the second largest city in population,after New York City. Los Angeles has several nicknames.One is L.A.It is also called the City ofAngels because Los Angeles means\"the angels\"in Spanish. Los Angeles often has warm,sunny, weather.So another nickname is City of Flowers and Sunshine.New York is called The Big Apple.So Los Angeles is sometimes called The Big Orange because ofthe fruit that grows in that city's warm climate. Many films are made in the area of Los Angeles called Hollywood.Millions of people visit the area.So it is also called The Entertainment Capital of the World.No trip to Los Angeles is excellent without seeing the word\"Hollywood\"spelled out in huge letters on a hillside. Many movie stars live in Los Angeles.The city is sometimes called Tinseltown.This nickname comes from the shiny,bright and often unreal nature of Hollywood and the movie industry.Another nickname for Los Angeles is La--La Land,using the first letters of Los and Angeles. The city of Los Angeles is part of Los Angeles County .There are many smaller cities in the coBnty.A good place for watching unusual--looking people is Venice(after the Italian city of Venice),an area on the west side of Los Angeles. Many people love Los Angeles for its warm sunny weather,beautiful mountains and beaches,and movie stars. Question: Los Angeles is called City of Flowers and Sunshine because _ . Options: A: many movie stars live there B: it's very sunny and warm C: there are many angels D: there is a place called\"Venice\"\nB\n(Question)\nRead the article and select the best answer. Article: When you're having a holiday, one of the main questions to ask is which hotel or apartment to choose. However, when it comes to France, you have another special choice: treehouses. In France, treehouses are offered to travelers as a new choice in many places. The price may be a little higher, but you do have a chance to _ your childhood memories. Alain Laurens, one of France's top treehouse designers, said, \"Most of the people might have the experience of building a den when they were young. And they like that feeling of freedom when they are children.\" Its fairy-tale style gives travelers a special feeling. It seems as if they are living as a forest king and enjoying the fresh air in the morning. Another kind of treehouse is the \"star cube\". It gives travelers the chance of looking at the stars shining in the sky when they are going to sleep. Each \"star cube\" not only offers all the comfortable things that a hotel provides for travelers, but also gives them a chance to look for stars by using a telescope. The glass roof allows you to look at the stars from your bed. ,. Question: What's the roof of the \"star cube\" made of? Options: A: Plastic. B: Glass. C: Paper. D: Stones.\n(Answer)\nB\nQues: Read the article and select the best answer. Article: Venice is a great place in the world. People call it \"City of Water\" because it is built on the water just like some stone buildings floating on the water. There are more than 350 bridges in the city. It's in the southeast of Italy. You can hardly hear the sound of cars in the city. All transportation is by boat or on foot. And the most popular vehicle is gondola . You can see the beautiful sights and at the same time hear Italian operas on it. It's also a city of art and music. It played a very important role in the Renaissance . There are a lot of buildings there. Venice is a special and unique place in the world, so a lot of people come to visit it every year. It's better to visit the city in July, August, or September. And the people who come here will never forget this beautiful place. Question: When is better to visit Venice? Options: A: In June and July. B: In August and September. C: In September and October. D: In May and July.\nAns: B\n(Q).\nRead the article and select the best answer. Article: Do your parents ever say, \"act like a lady\" or \"be a gentleman\" to you? But in the eyes of today's teenagers , what should a lady or a gentleman be like? Let's take a look. What is a gentleman? The girls have their ideas: Huang Xiaoyu of Guizhou: A gentleman doesn't always get angry . He wants others to be well and happy. He is always ready to help. There is a boy in my class and I think he is a gentleman. If I don't do well in the English exam, he will say, \"You will do better next time.\" That makes me feel happy. Chen Tingting of Shenzhen: A gentleman always says, \"Ladies first\" When students clean up the classroom, he does the heavy work. He lets girls go into rooms first. There are no gentlemen in my class. When there is something to eat, the boys in my class always get them before girls! What is a lady? Boys tell us what they think a lady is: Wu Yifan of Dalian: A lady is quiet and kind, but she's not shy and she can talk about her ideas in front of others. To me, Dong Jie, a film star, is a lady. She is pretty and kind. She does a lot for others. Wang Lichao of Tianjin: A lady is not just beautiful but clever. She never says bad words. She is quiet and kind to others. I don't think there is a lady in my class. Most of the girls are \" \", I think. Question: What does Huang Xiaoyu think a gentleman will do if she doesn't do well in the English exam? Options: A: He will say \"You'll do better next time\". B: He will get angry. C: He will say \"You're so careless .\" D: He will laugh at her.\n(A).\nA\nQues: Read the article and select the best answer. Article: What would turkeys do if they could think like us? Maybe the first thing is to run away from our dinner! That's the idea of Reggie and Jake. They are two turkeys in the new movie Free Birds (<<>> ). On Thanksgiving Day, people in the United States eat turkeys. But why? Reggie and Jake want a change. In a time machine, they go back to the first Thanksgiving in 1621. Reggie liked to be alone . But this time, he learns to become part of a team to make a big change. Question: When do the US people usually eat turkey? Options: A: On Thanksgiving Day. B: At Halloween C: Any time D: At Easter\nAns:",
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"content": "[Ans] (E)\n[Question] If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 5 (B + G) is ?\nOptions:\n(A) Equal to 3\n(B) Less than 3\n(C) More than 3\n(D) Less than 1/3\n(E) none of these\n[CoT] Let number of boys = x\nLet number of girls = y\nTherefore x/y = B and y/x = G\n5(B + G) = 5[(x/y) + (y/x)] = 5[(x2 + y2)/xy] > 5\n\n[Ans] (B)\n[Question] There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.\nWhen everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.\nSo they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief – one diamond was still left.\nFinally, they woke up the 7th thief and this time the diamonds were divided equally.\nHow many diamonds did they steal in total?\nOptions:\n(A) 700\n(B) 721\n(C) 702\n(D) 703\n(E) None of the above\n[CoT] We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.\n\n[Ans] (A)\n[Question]\n",
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"content": "If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes ?\nOptions:\n(A) 1/2\n(B) 7/8\n(C) 1/4\n(D) 1/8\n(E) 1/16\n[CoT] Left After 1st stroke = 1/2\nSo removed = 1- 1/2 = 1/2",
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"content": "question: There are 4 magazines lying on a table; 2 are fashion magazines and the other 2 are sports magzines. If 1 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazine will be selected?\nOptions:\n(A) 1\n(B) 1/2\n(C) 1/4\n(D) 1/6\n(E) 1/8\nanswer: Stream of consciousness: 1- (2c1/4c1) = 1-1/2 = 1/2 The answer is (B).\nq: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 30, and 40 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?\nOptions:\n(A) 4/11\n(B) 1/2\n(C) 15/22\n(D) 120/7\n(E) 11/4\na: Stream of consciousness: P1 takes 12 hrs\nRate for P2P3 together = 1/30 + 1/40 = 7/120\nTherefore they take 120/7\nRatio = 120/7 = The answer is (D).\nquestion: Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 450 or over 650. If the individual ranges of the three people's scores in those 4 practice tests were 30, 80 and 110, what is the difference between the maximum and minimum possible ranges of all their scores put together.\nOptions:\n(A) 90\n(B) 120\n(C) 50\n(D) 70\n(E) 100\nanswer: Stream of consciousness: According to the information in the question the maximum range would be between 450 and 650(200). The minimum range would be the greatest range for any one individual, which is listed in the problem as 110. So the difference between these would be 200-110 or 90. The answer is (A).\nq: An analyst will recommend a combination of 2 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 6 industrial stocks, 5 transportation stocks, and 4 utility stocks, how many different combinations of 6 stocks are possible?\nOptions:\n(A) 1200\n(B) 900\n(C) 600\n(D) 180\n(E) 720\na: Stream of consciousness: 6C2 * 5C2 * 4C2 = 15*10*6 = 900. The answer is (C).\nquestion: For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of (( 90 Θ 33 ) Θ 17 ) - ( 99 Θ (33 Θ 17)) ?\nOptions:\n(A) 10\n(B) 8\n(C) 6\n(D) 4\n(E) 2\nanswer: Stream of consciousness: (( 90 Θ 33 ) Θ 17 )\nThe remainder of 90 divided by 33 is 24;\nThe remainder of 24 divided by 17 is 7;\n( 99 Θ (33 Θ 17))\nThe remainder of 33 divided by 17 is 16;\n7 - 3 = 4. The answer is (D).\nquestion: 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) 3\n(D) 4\n(E) 5\nanswer:",
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"content": "Stream of consciousness: (1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2 The answer is (B).",
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