dataset stringclasses 4
values | id stringlengths 5 13 | messages listlengths 2 6 |
|---|---|---|
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 a... |
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 con... |
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 mult... |
cot | 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 f... |
cot | 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 c... |
cot | 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, G... |
cot | 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... |
cot | 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 avera... |
cot | 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 answe... |
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 ... |
flan_v2 | 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 varia... |
cot | 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) ... |
flan_v2 | flan_v2_52436 | [
{
"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 lot... |
cot | cot_78054 | [
{
"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 seco... |
cot | cot_63962 | [
{
"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)... |
cot | cot_61045 | [
{
"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 ta... |
cot | cot_61098 | [
{
"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 multipl... |
flan_v2 | flan_v2_89806 | [
{
"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 equa... |
cot | cot_62496 | [
{
"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 la... |
cot | cot_59671 | [
{
"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 aft... |
cot | cot_92777 | [
{
"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... |
cot | cot_92302 | [
{
"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... |
flan_v2 | flan_v2_55312 | [
{
"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... |
cot | cot_76158 | [
{
"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 = 38... |
cot | cot_82298 | [
{
"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 ... |
cot | cot_86428 | [
{
"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... |
cot | cot_83115 | [
{
"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(... |
cot | cot_70175 | [
{
"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... |
flan_v2 | flan_v2_65248 | [
{
"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 a... |
flan_v2 | flan_v2_75878 | [
{
"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\",... |
flan_v2 | flan_v2_53412 | [
{
"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 histo... |
cot | 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... |
cot | 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... |
cot | cot_99929 | [
{
"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 hr... |
cot | cot_59200 | [
{
"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 con... |
cot | cot_60736 | [
{
"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... |
flan_v2 | flan_v2_83141 | [
{
"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\", \"... |
flan_v2 | flan_v2_52464 | [
{
"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 ... |
cot | cot_74316 | [
{
"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... |
cot | cot_87561 | [
{
"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 m... |
cot | cot_56871 | [
{
"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 l... |
cot | cot_77480 | [
{
"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... |
cot | cot_98596 | [
{
"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... |
flan_v2 | flan_v2_88796 | [
{
"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\", \"... |
cot | cot_80306 | [
{
"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).\nques... |
cot | cot_84955 | [
{
"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 answ... |
flan_v2 | flan_v2_91032 | [
{
"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 quest... |
cot | cot_56825 | [
{
"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 l... |
cot | cot_65318 | [
{
"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(... |
flan_v2 | flan_v2_50566 | [
{
"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 pat... |
flan_v2 | flan_v2_96877 | [
{
"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 o... |
cot | cot_83931 | [
{
"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 o... |
cot | cot_95172 | [
{
"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... |
cot | cot_62987 | [
{
"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 ba... |
cot | cot_71597 | [
{
"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\... |
flan_v2 | flan_v2_51820 | [
{
"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 v... |
flan_v2 | flan_v2_50877 | [
{
"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. Th... |
cot | cot_82144 | [
{
"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 Ba... |
flan_v2 | flan_v2_53864 | [
{
"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 k... |
cot | cot_70594 | [
{
"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 pe... |
flan_v2 | flan_v2_75618 | [
{
"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 quest... |
cot | cot_75589 | [
{
"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 T... |
flan_v2 | flan_v2_49520 | [
{
"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 popula... |
cot | cot_85357 | [
{
"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 a... |
cot | cot_82508 | [
{
"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(... |
flan_v2 | flan_v2_51884 | [
{
"content": "input: Please answer the following: When you add sugar to a cold drink, you may stir it to help the sugar dissolve. If you don’t stir, the sugar may eventually dissolve, but it will take much longer. Stirring is one of several factors that affect how fast a solute dissolves in a solvent. Temperatu... |
flan_v2 | flan_v2_64433 | [
{
"content": "input: Please answer the following: Write a multi-choice question for the following article, with the given choices and answer: Article: Everybody has had at least one experience from which he knows the meaning of life.This time, which took place several years ago, but seems as if it just happened... |
cot | cot_59366 | [
{
"content": "question: A man rows his boat 90 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 9 kmph\n(B) 6 kmph\n(C) 5 kmph\n(D) 8 kmph\n(E) 7 kmph\nanswer: Stream of consciousness: Speed downstream = d/t = 90/(2 1/2) = 36 kmph\nSpeed upstream = d/t... |
flan_v2 | flan_v2_48830 | [
{
"content": "Q: Write a multi-choice question for the following article, with the given choices and answer: Article: My name is Linda. I'm a girl. I live in Canada .I have two big eyes. My eyes are green. I have long, red hair. I am 1.6 meters tall. I have long arms and long legs. I like black .Black is my fav... |
cot | cot_52409 | [
{
"content": "question: Two trains are moving at 85 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) 5 25/31 sec\n(B) 7 1/17 sec\n(C) 7 2/2 sec\n(D) 8 1/2 sec\n(E) 7 1/9 sec\nanswer: Stream of consci... |
cot | cot_65570 | [
{
"content": "question: A number lock on a suitcase has 3 wheels each labelled with 10 digits from 0 to 9. If opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?\nOptions:\n(A) 720\n(B) 760\n(C) 680\n(D) 780\n(E) 880\nanswer: Stream of consciou... |
cot | cot_73124 | [
{
"content": "Reasoning: 10^2 - 20 = 80\n20^2 - 30 = 370\n30^2 - 40 = 860\n40^2 - 50 = 1550\n50^2 - 60 = 2440\n60^2 - 70 = 3530.\nAns: (D)\nQuestion: 80 370 ? 1550 2440 3530\nOptions:\n(A) 900\n(B) 840\n(C) 750\n(D) 860\n(E) 960\n\n\nRationale: On dividing 165826 by 4 we get the remainder 2, so 2 should be subt... |
cot | cot_52354 | [
{
"content": "Reasoning: The prime factorization of a square has to have even powers of all its prime factors. If the original number has a factor, say of 7, then when it’s squared, the square will have a factor of 7^2. Another way to say that is: any positive integer all of whose prime factors have even powers... |
cot | cot_58004 | [
{
"content": "question: From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina\nOptions:\n(A) 5/56\n(B) 9/56\n(C) 15/56\n(D) 35/120\n(E) 25/56\nanswer: Stream of cons... |
flan_v2 | flan_v2_65403 | [
{
"content": "[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: The tall man was sitting in the chair. He was reading a book. When I talked to him, I found that from boyhood , he had the habit of carrying a little book in his pocket. He often read every... |
cot | cot_87214 | [
{
"content": "Rationale: Speed downstream = 50 + 20 = 70 kmph\nSpeed upstream = 50 - 20 = 30 kmph\nThe answer: (A)\nQuestion: The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed and upstream?\nOptions:\n(A) 30 kmph\n(B) 40 kmph\n(C) 78 kmph\n(D) 15 kmph\n(E) 23 km... |
cot | cot_64120 | [
{
"content": "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\n\nHint: x^2-5 (x is an integer) is never multiple of 3 (try to prove this), hence 30 is out. So the answer is: (E).\n\nOn 3,000 invested at a simple interest rate 6 p.c.p.a, 9... |
flan_v2 | flan_v2_51785 | [
{
"content": "Bill was a boy of 15. His parents went to gambling day and night. Nobody cared about hi. He always failed in his exams. So his teachers didn't like him, nor did his classmates play with him. Bill often slept in class because his heart was not in school. He almost gave himself up. One day, Miss Jo... |
cot | cot_59312 | [
{
"content": "question: X can finish a work in 36 days. Y can finish the same work in 24 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 12\n(B) 13\n(C) 16\n(D) 17\n(E) 18\nanswer: Stream of consciousness: Work done by X in 1 day = 1/36\n... |
cot | cot_76903 | [
{
"content": "question: Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 240 feet in circumference.After how many minutes are the three of them together again?\nOptions:\n(A) 4 mins\n(B) 10 mins\n(C) 15 mins\n(... |
flan_v2 | flan_v2_49228 | [
{
"content": "Read the article and select the best answer. Article: There is a bar with the name \"The White Horse \". A picture of a white horse is on the door of the bar. It is Mr. Webster's. Few people go to the bar. One day, Mr. Wilson comes in, drinks a cup, watches the bar, and then says to Mr. W... |
cot | cot_79795 | [
{
"content": "question: If 10 crates have 98 apples each and how many apples more is required in order to make 100 apples in each crate?\nOptions:\n(A) 5\n(B) 10\n(C) 15\n(D) 20\n(E) 0\nanswer: Stream of consciousness: Each crate requires 2 apples and totally there are 10 crates so required apples = 10 * 2 = 20... |
cot | cot_59465 | [
{
"content": "question: People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, and yellow. This pattern continues (red, green, blue, and yellow) until it ends with a green shirt. If there are more than 4 people in line, which of... |
cot | cot_55584 | [
{
"content": "question: A racng car travels k kilometres 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) kn⁄x\n(D) kx\n(E) kx⁄n\nanswer: Stream of consciousness: Given Speed = k/n\nTo Find distance in x hours with same speed\nDistance = speed * time\nDista... |
cot | cot_70287 | [
{
"content": "q: 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\n... |
cot | cot_51412 | [
{
"content": "What is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?\nOptions:\n(A) 2345\n(B) 4500\n(C) 5000\n(D) 6000\n(E) 7000\n\n2000 + 300 + 40 + 5 = 2345 So the answer is: (A).\n\nA password of a computer consists of five digits 1 through 6. What is the probability that all digits... |
cot | cot_50702 | [
{
"content": "question: A motorcyclist goes from Bombay to Pune, a distance of 192 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) ... |
cot | cot_74923 | [
{
"content": "question: The speed of a boat in still water is 70kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?\nOptions:\n(A) kmph\n(B) kmph\n(C) kmph\n(D) kmph\n(E) kmph\nanswer: Stream of consciousness: Speed downstream = 70 + 20 = 90 kmph\nSpeed upstream = 70 - 20 = 50 k... |
cot | cot_75306 | [
{
"content": "q: 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) 4\n(D) 6\n(E) 7\na: Stream of consciousness: (1056 / 23) gives remainder 21\n21 + 2 = 23, So we need to add 2 The answer is (B).\nquestion: John has some chicken... |
flan_v2 | flan_v2_54062 | [
{
"content": "Please answer this: Background: In nature, when the population size is small, there is usually plenty of food and other resources for each individual. When there is plenty of food and other resources, organisms can easily reproduce, so the birth rate is high. As the population increases, the food ... |
flan_v2 | flan_v2_53337 | [
{
"content": "[Q]: Write a multi-choice question for the following article, with the given choices and answer: Article: We can see waste everywhere in the school. Some students ask for more food than they can eat and others often forget to turn off the lights when they leave the classroom. They say they can aff... |
flan_v2 | flan_v2_50585 | [
{
"content": "I'm taking a test and have to guess the right answer to the question after the article. Article: Perhaps you have heard a lot about the Internet, but what is it? The Internet is many different networks around the world. A network is a group of computers put together. These networks joined together... |
cot | cot_81949 | [
{
"content": "q: Two persons A and B can complete a piece of work in 30 days and 60 days respectively. If they work together, what part of the work will be completed in 10 days?\nOptions:\n(A) 1/8\n(B) 1/3\n(C) 1/6\n(D) 1/2\n(E) 5/3\na: Stream of consciousness: A's one day's work = 1/30\nB's one day's work = 1/... |
cot | cot_94182 | [
{
"content": "Reasoning: The integer should be divisible by: 2, 3, 4, 5, 6, 7, 8 and 9, that is 2, 3, 2^2, 5, 2*3, 7, 2^3 and 3^2. The least common multiple of these integers is the product of 7, 5, 3^2 and 2^3. Then, L/2 is (7 * 5 * 3^2 * 2^3)/2 = 7*5*9*4 = 1260.\nAns: (D)\nQuestion: If L is the least positive... |
cot | cot_94538 | [
{
"content": "question: Find the remainder when 6^23 is divided by 5 ?\nOptions:\n(A) 3\n(B) 2\n(C) 1\n(D) 0\n(E) 4\nanswer: Stream of consciousness: 6^23 = 6^(4*5+3) = 6^(20) * 6^3 last 3 digits = 216\n216/5 remainder = 1 The answer is (C).\nq: What is the least value of integer N such that N! is divisible by ... |
flan_v2 | flan_v2_48159 | [
{
"content": "Question: According to a national study, in the summer of 2013, the long-term warm weather in the UK has made the number of butterflies increase. Around 46,000 volunteers took part in the year's Big Butterfly Count , and they found 830,000 butterflies.Volunteers were asked to make a record.They ... |
cot | cot_56017 | [
{
"content": "q: 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\na: Stream of consciousness: |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... |
cot | cot_81454 | [
{
"content": "q: Which of the following numbers is divisible by 4?\nOptions:\n(A) 27767\n(B) 10224\n(C) 26778\n(D) 26679\n(E) 26711\na: Stream of consciousness: 10224. This is the only option with last two digits divisible by 4 The answer is (B).\nquestion: How much 60% of 50 is greater than 40% of 30?\nOptions... |
flan_v2 | flan_v2_53481 | [
{
"content": "Problem: I have a new situation: Joseph and Walter are two brothers who have always gotten along well, but are now going to be separated for the first time in their lives. Walter has just graduated high school and is going off to live at college several states away from home. Joseph is about to be... |
flan_v2 | flan_v2_66045 | [
{
"content": "Problem: Given the question: Write a multi-choice question for the following article, with the given choices and answer: Article: Thinking is something you choose to do as a fish choose to live in water. To be human is to think. But thinking may come naturally without your knowing how you do it. T... |
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