dataset stringclasses 4
values | id stringlengths 5 13 | messages listlengths 2 6 |
|---|---|---|
flan_v2 | flan_v2_91133 | [
{
"content": "instruction:\nIn this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those ... |
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_67244 | [
{
"content": "q: In Hockey game, one player throws two fair, six-sided die at the same time. If the player receives at least a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once?\nOptions:\n(A) 1/3\n(B) 4/9\n(C) 5/9\n(D) 2/3\n(E) 3/4\na: Stream ... |
flan_v2 | flan_v2_91916 | [
{
"content": "In this task you will break down a question into the basic steps required to answer it.\n A question decomposition is a numbered list of operations that must be performed to answer the original question. Imagine explaining your question to a friendly droid by listing each action it should take in ... |
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_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_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_59228 | [
{
"content": "question: Solve below question 2x - 1 = 17\nOptions:\n(A) -8\n(B) -9\n(C) -5\n(D) -4\n(E) 9\nanswer: Stream of consciousness: 1. Add 1 to both sides: 2x - 1 + 1 = 17 + 1 2. Simplify both sides: 2x = 18 3. Divide both sides by 2: 4. Simplify both sides: x = 9 The answer is (E).\nq: Efrida and Fraze... |
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_60164 | [
{
"content": "q: 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) 5\n(D) 5\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 ... |
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_83076 | [
{
"content": "Detailed Instructions: In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowi... |
cot | cot_70361 | [
{
"content": "q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?\nOptions:\n(A) 9261\n(B) 1261\n(C) 9621\n(D) 9162\n(E) 5000\na: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (A).\nquestion: If 10 crates have 95 apples each and how many apple... |
cot | cot_97606 | [
{
"content": "question: A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they take to finish the work, if all the three work together?\nOptions:\n(A) 4\n(B) 9\n(C) 2\n(D) 11\n(E) None\nanswer: Stream of consciousness: 1/7 + 1/14 + 1/28 = 7/28 = 1/4\nAll three can fini... |
cot | cot_76421 | [
{
"content": "Ques: There are 20 balls in a box: 11 balls are green, 6 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a green ball is selected at random from the box?\nOptions:\n(A) 1/13\n(B) 10/18\n(C) 3/13\n(D) 5/13\n(E) 6/13\nAns: (B)... |
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... |
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_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_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) ... |
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\... |
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_82468 | [
{
"content": "q: he population of a city is 140,000. If it increases at the rate of 6% per annum, then what will be its population 2 years hence?\nOptions:\n(A) 1797787\n(B) 1597723\n(C) 159776\n(D) 159728\n(E) 157304\na: Stream of consciousness: Population after n years = P [1 + (R/100)]2\nPopulation after 2 y... |
cot | cot_53478 | [
{
"content": "q: How long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length?\nOptions:\n(A) 18\n(B) 16\n(C) 15\n(D) 11\n(E) 12\na: Stream of consciousness: D = 100 + 150 = 250 m\nS = 50 * 5/18 = 125/9\nT = 250 * 9/125 = 18 sec The answer is (A).\nquestion: Find the smallest n... |
cot | cot_77306 | [
{
"content": "Reasoning: Answer = E\nPlease refer diagram below\n70 - 10 = 60\nAns: (E)\nQuestion: 80 white and black tiles will be used to form a 10x10 square pattern. If there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the n... |
cot | cot_86621 | [
{
"content": "question: A certain car uses 12 gallons of gasoline in traveling 300 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased?\nOptions:\n(A) 2\n(B) 4\n(C) 5\n(D) 8\n(E) 10\nanswer: Stream of consciou... |
flan_v2 | flan_v2_90724 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
flan_v2 | flan_v2_95059 | [
{
"content": "Rationale: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs\nThe answer: (B)\nQuestion: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. ... |
cot | cot_90751 | [
{
"content": "Rationale: Average weight = [(a + b + c + (a+b) + (b+c) + (c+a)+(a+b+c)] / 7 = 4 (a+b+c) /7 = 4 x 140/7 = 80 kgs\nThe answer: (B)\nQuestion: 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. ... |
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_56358 | [
{
"content": "question: A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?\nOptions:\n(A) 6 kmph\n(B) 5 kmph\n(C) 2 kmph\n(D) 8 kmph\n(E) 1 kmph\nanswer: Stream of consciousness: Speed downstream = d/t = 85/(2 1/2) = 34 kmph\nSpeed upstream = d/t... |
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_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_97151 | [
{
"content": "Rationale: 14*13*12/3*2*1 = 364\nThe answer: (D)\nQuestion: A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 14 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assist... |
cot | cot_96816 | [
{
"content": "Rationale: 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.\nThe answer: (E)\nQuestion: A rat is placed at the... |
cot | cot_80678 | [
{
"content": "Q: 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\... |
cot | cot_93902 | [
{
"content": "Rationale: 4/9 P = (P*R*R)/100\nR = 20/3 = 6 2/3%\nThe answer: (A)\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 2/7%\n(C) 6 2/2%\n(D) 6 3/3%\n(E) 6 5/3%\n\n\nR... |
cot | cot_92787 | [
{
"content": "q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?\nOptions:\n(A) 122456\n(B) 145778\n(C) 456678\n(D) 235467\n(E) 220030\na: Stream of consciousness: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).\nque... |
cot | cot_83696 | [
{
"content": "Reasoning: 12 = 3 blue balls + 18 / 2\nAns: (A)\nQuestion: There are 20 balls in a jar. You take out 2 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1/5. How many blue balls were there in the beginning?\nOptions:\n(A) 12.\n(B) 9.\n(C) 8.\n(D) 7.... |
flan_v2 | flan_v2_89082 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
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_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_73272 | [
{
"content": "Reasoning: This alternating addition series begins with 3; then 1 is added to give 4; then 3 is added to give 7; then 1 is added, and so on.\nAns: (A)\nQuestion: Look at this series: 3, 4, 7, 8, 11, 12, ... What number should come next?\nOptions:\n(A) 15\n(B) 14\n(C) 17\n(D) 12\n(E) 19\n\n\nRation... |
cot | cot_73107 | [
{
"content": "Question: There were 180 apples in each crate. 12 such crates of apples were delivered to a factory. 160 apples were rotten and had to be thrown away. The remaining apples were packed into boxes of 20 apples each. How many boxes of apples were there?\nAnswer: The total number of apples delivered w... |
flan_v2 | flan_v2_94805 | [
{
"content": "Question: There were 180 apples in each crate. 12 such crates of apples were delivered to a factory. 160 apples were rotten and had to be thrown away. The remaining apples were packed into boxes of 20 apples each. How many boxes of apples were there?\nAnswer: The total number of apples delivered w... |
cot | cot_66828 | [
{
"content": "question: 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 w... |
cot | cot_68958 | [
{
"content": "Q: The average of seven numbers is 9. The average of first three numbers is 7 and the average of last three numbers is 11. What is the middle number?\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 11\n(E) 10\nA: OK... Stream of consciousness: The total of seven numbers = 7X9 = 63\nThe total of first 3 and la... |
cot | cot_78841 | [
{
"content": "question: What is the units digit of the expression 14^7−15^4?\nOptions:\n(A) 0\n(B) 8\n(C) 4\n(D) 6\n(E) 3\nanswer: Stream of consciousness: I think answer on this one should be B too. Since we know that 14^7>15^4, as Will said one should always check if the number is positive. The answer is... |
cot | cot_72201 | [
{
"content": "question: In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?\nOptions:\n(A) 16/20\n(B) 9/10\n(C) 2/5\n(D) 3/5\n(E) ½\nanswer: Stream of consciousness: P(at least one green) = 1 - P(no green... |
cot | cot_92256 | [
{
"content": "q: 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 ... |
flan_v2 | flan_v2_89802 | [
{
"content": "In this task you will break down a question into the basic steps required to answer it.\n A question decomposition is a numbered list of operations that must be performed to answer the original question. Imagine explaining your question to a friendly droid by listing each action it should take in ... |
cot | cot_88604 | [
{
"content": "question: What is the probability that Company G's advertisement will be one of the first two be shown during the first commercial break?\nOptions:\n(A) 1/ 225\n(B) 1 / 30\n(C) 1 /15\n(D) 2 / 15\n(E) 4 /15\nanswer: Stream of consciousness: G 1/15 + (14/15) * 1/14 = 2/15 The answer is (D).\nq:... |
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(... |
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... |
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_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... |
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_69190 | [
{
"content": "q: A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 24\n(E) 23\na: Stream of consciousness: To construct 2 lines, thr... |
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... |
flan_v2 | flan_v2_82351 | [
{
"content": "Teacher: In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those opera... |
flan_v2 | flan_v2_84492 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
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_58394 | [
{
"content": "q: At 15:00 there were 20 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 7 students left the lab, how many students were in the computer lab at 15:44 ?\nOptions:\n(A) 7\n(B) 14\n(C) 25\n(D) 27\n(E)... |
cot | cot_88781 | [
{
"content": "q: 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 ... |
cot | cot_72961 | [
{
"content": "q: What is the are of an equilateral triangle of side 24 cm?\nOptions:\n(A) 66√3 cm2\n(B) 74√3 cm2\n(C) 64√3 cm2\n(D) 64√5 cm2\n(E) 144√3 cm2\na: Stream of consciousness: Area of an equilateral triangle = √3/4 S2\nIf S = 24, Area of triangle = √3/4 * 24 * 24 = 144√3 cm2; The answer... |
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_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... |
flan_v2 | flan_v2_86011 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
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_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_52081 | [
{
"content": "Reasoning: 1 to 11 = 11 * 48 = 528\n1 to 6 = 6 * 49 = 294\n6 to 11 = 6 * 52 = 312\n6th = 294 + 312 – 528 = 78\nAns: (C)\nQuestion: The average of 11 results is 48, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?\nOptions:\n(A) 21\n(B) 56\n(C) 78\n... |
cot | cot_87950 | [
{
"content": "Reasoning: 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\nAns: (C)\nQuestion: X can finish a work in 18 days. Y can finish the sam... |
cot | cot_68421 | [
{
"content": "q: There are 100 employees in a room. 99% are President. How many managers must leave the room to bring down the percentage of President to 98%?\nOptions:\n(A) 1\n(B) 2\n(C) 46\n(D) 50\n(E) 97\na: Stream of consciousness: We have 99 Presidents and 1 director. That 1 director to compose 2% of ... |
flan_v2 | flan_v2_90594 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
cot | cot_50146 | [
{
"content": "question: In how many ways can you seat 4 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) 720\n(B) 6\n(C) 2880\n(D) 5040\n(E) 10080\nanswer: Stream of consciousness: Since Rohit does not want to sit on the middle seat or at either e... |
cot | cot_83965 | [
{
"content": "q: If X and Y are both positive two-digit integers and share no digits, and X > Y, what is the smallest possible value of X - Y?\nOptions:\n(A) 0\n(B) 1\n(C) 2\n(D) 3\n(E) 9\na: Stream of consciousness: Answer = B = 1\n20 - 19 = 30-29 = 40-39 = 50-49 = 1 The answer is (B).\n--\nq: People standing ... |
flan_v2 | flan_v2_85109 | [
{
"content": "In this task, you need to provide the correct option for a given problem on probability from the provided options.\n\nProblem: a bag contains 6 black and 9 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ? \nOptions: a ) 4 , b ) 4 / 3 , c ) 4 / 5 , ... |
flan_v2 | flan_v2_87203 | [
{
"content": "In this task you will break down a question into the basic steps required to answer it.\n A question decomposition is a numbered list of operations that must be performed to answer the original question. Imagine explaining your question to a friendly droid by listing each action it should take in ... |
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_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_86095 | [
{
"content": "q: 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) 1:8\n(C) 1:1\n(D... |
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(... |
cot | cot_96983 | [
{
"content": "q: A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat?\nOptions:\n(A) 1 1⁄2 minutes\n(B) 3 1⁄2 min... |
cot | cot_94854 | [
{
"content": "Shawn collected 40 plain pebbles. He painted 9 pebbles red and 13 pebbles blue. He then divided the remaining pebbles equally into 3 groups, and painted them purple, yellow, and green. What is the difference between the number of blue and yellow pebbles? Give the rationale and then the answer.\nLe... |
cot | cot_80839 | [
{
"content": "question: If x is the product of the integers from 1 to 150, inclusive, and 5^y is a factor of x, what is the greatest possible value of y ?\nOptions:\n(A) 30\n(B) 34\n(C) 36\n(D) 37\n(E) 39\nanswer: Stream of consciousness: It basically asks for the number of 5s in 150!\n150/5 + 150/25 + 150/125 ... |
flan_v2 | flan_v2_85528 | [
{
"content": "In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing those operations and... |
flan_v2 | flan_v2_86099 | [
{
"content": "instruction:\nIn this task you will break down a question into the basic steps required to answer it.\n A question decomposition is a numbered list of operations that must be performed to answer the original question. Imagine explaining your question to a friendly droid by listing each action it s... |
flan_v2 | flan_v2_91290 | [
{
"content": "TASK DEFINITION: In this task you will break down a question into the basic steps required to answer it.\n A question decomposition is a numbered list of operations that must be performed to answer the original question. Imagine explaining your question to a friendly droid by listing each action i... |
cot | cot_54619 | [
{
"content": "question: 252 can be expressed as a product of primes as:\nOptions:\n(A) 2 x 2 x 3 x 3 x 7\n(B) 2 x 2 x 2 x 3 x 7\n(C) 3 x 3 x 3 x 3 x 7\n(D) 2 x 3 x 3 x 3 x 7\n(E) 7 x 3 x 3 x 3 x 7\nanswer: Stream of consciousness: 252 = 2 x 2 x 3 x 3 x 7. The answer is (A).\nq: A can do a piece of work in 12 da... |
flan_v2 | flan_v2_95775 | [
{
"content": "q: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 41\n(B) 43\n(C) 31\n(D) 84\n(E) 81\na: Stream of consciousness: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12\nWork d... |
cot | cot_89901 | [
{
"content": "q: A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?\nOptions:\n(A) 41\n(B) 43\n(C) 31\n(D) 84\n(E) 81\na: Stream of consciousness: (1 man + 1 woman)’s 1 day work = 1/3 + 1/4 = 7/12\nWork d... |
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_83504 | [
{
"content": "In a house of 15, 3/5 of the people eat pizza. If Aviana brought pizza with 50 pieces, and each person eating pizza took 4 pieces, calculate the number of pizza pieces that remained. Give the rationale and then the answer.\nLet's think step by step. If there are 15 people in the house, the number ... |
cot | cot_54856 | [
{
"content": "question: 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) 2\n(B) 3\n(C) 6\n(D) 8\n(E) 9\nanswer: Stream of consciousness: Work done by X in 1 day = 1/18\nWork d... |
cot | cot_79711 | [
{
"content": "q: X can finish a work in 25 days. Y can finish the same work in 20 days. Y worked for 12 days and left the job. how many days does X alone need to finish the remaining work?\nOptions:\n(A) 2\n(B) 5\n(C) 6\n(D) 7\n(E) 8\na: Work done by X in 1 day = 1/25\nWork done by Y in 1 day = 1/20\nWork done ... |
cot | cot_69319 | [
{
"content": "Q: Javier has a wife and 3 children. They have 2 dogs and 1 cat. Including Javier, how many legs are there in total in Javier’s household?\nA: For the humans in the house, there are 5 * 2 = 10 legs. Javier has a total of 2 + 1 = 3 four - legged pets. For the pets in the house, there are 3 * 4 = 12... |
cot | cot_81907 | [
{
"content": "q: There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.\nOptions:\n(A) 7\n(B) 8\n(C) 9\n(D) 10\n(E) 11\na: Stream of consciousness: Start from 1: 1368, Start from 2: 2358, S... |
cot | cot_88204 | [
{
"content": "q: 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\na: Stream of consciousness: 90 * 30/60 = 45 kmph The answer is (E).\nquestion: If f(x) = x^3/(x^5 - 1), what is f(1/x) in terms of f(x)?\nOptions:\n(A) -f(x) \n(... |
cot | cot_65575 | [
{
"content": "question: Last year, Company X made q dollars in profit. One thrid of the profit went to the company’s founder. The rest was split evenly among his four other partners. In terms of q, how much did each of the other partners receive?\nOptions:\n(A) q/4\n(B) q/5\n(C) q/8\n(D) q/6\n(E) q/7\nanswer: S... |
cot | cot_74341 | [
{
"content": "Reasoning: In this series, each number is repeated, then 13 is subtracted to arrive at the next number.\nAns: (C)\nQuestion: Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?\nOptions:\n(A) 12\n(B) 15\n(C) 14\n(D) 18\n(E) 17\n\n\nRationale: This is a simple alternating... |
flan_v2 | flan_v2_89206 | [
{
"content": "TASK DEFINITION: In this task, you will be given a set of steps that are required to answer a specific question. Your job is to generate that question. Each given step refers to either an entity (known or unknown), a propery of an entity or a query operation (count, group, union, etc.) Knowing tho... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.