Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
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?
Pipe P can fill a tank in 3 hours, pipe Q in 9 hours and pipe R in 18 hours. If all the pipes are open, in how many hours will the tank be filled?
120 is what percent of 80?
Someone on a skateboard is traveling 8 miles per hour. How many feet does she travel in 5 seconds? (1 mile = 5280 feet)
1393 x 1393 = ?
A company selected 250 zip codes in Northeastern, Florida, Arizona and California in order to mail a product catalog. The number of Northeastern zip codes was twice Florida's, and four times Arizona's, and 4/3 California's. 375,000 catalogues were mailed to California and 25% resulted in product orders. What is the rat...
In a certain company, a third of the workers do not have a retirement plan. 40% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
The average speed of a car decreased by 3 miles per hour every successive 8-minutes interval. If the car traveled 4.4 miles in the fifth 8-minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
The initial price of an article is Rs.4000 which increases 40% increse in its price in the first year,a 20% decrease in the second year and a 20% increase in the next year. What is the final price of the article ?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
Four of the five parts numbered (a), (b), (c), (d) and (e) in the following equation are exactly equal. Which part is not equal to the other four ? The number of that part is the answer.
If x and y are integers and 4^(x-4) = 4^(y+4), what is y in terms of x?
A girl has 12 jeans and 12 shirts. In how many different ways can she select a jeans and a shirts?
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 4 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part.
If a and b are positive integers and x = 9^a and y = 3^b, which of the following is a possible units digit of xy?
Working together, printer A and printer B would finish the task in 30 minutes. Printer A alone would finish the task in 50 minutes. How many pages does the task contain if printer B prints 3 pages a minute more than printer A ?
What is the value of: -9^7 + 9^9 ?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Look at this series: 8, 43, 11, 41, __, 39, 17, ... What number should fill in the blank?
{1/(4+√15)}^2 =
Today John is twice as old as Sam and Sam is 4 years younger than Mike. If John, Sam, and Mike are all alive 5 years from today, which of the following must be true on that day. I. John is twice as old as Sam II. Sam is 4 years younger than Mike III. John is older than Mike
Which of these must the factor G of the product of four consecutive even integers:- 1) 48 2) 64 3) 96 4) 192 5) 80
If the simple interest on Rs. 2000 is less than the Simple Interest on Rs. 3000 at 5% by Rs. 50, find the time.
What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 2x km.
If a is a number such that –2 ≤ a ≤ 2, which of the following has the largest possible absolute value?
A woman bought a pack of 36 eggs, but the seller told her that there were 3 rotten eggs in the pack. She forgot it and begun to prepare a recipe that needs 2 eggs. What is the probability that both choosen eggs will be rotten?
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 30m/h. what is the speed of the person while he was going to his office?
Three numbers are in the ratio 3 : 4 : 5 and their average is 36. The largest number is :
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
A bag contains 3red, 2blue and 4green balls. If 2 balls are picked at random, what is the probability that both are red?
A father is now three times as old as his son. Four years back, he was four times as old as his son. The age of the son (in years) is
The average age of a husband and a wife is 23 years when they were married THREE years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 5 and 6hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
If 3^x*4^y = 531,441 and x – y = 12, then x = ?
How many different sets of positive square integers S, each greater than 1, add up to 75?
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 15 percent, and on day 3, it is discounted an additional 20 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
How many times hour hand covers full circle in a day?
To save money, Branded company Cheese will reduce each dimension of its rectangular box container (which is entirely full of cheese) by 50%, and reduce the price it charges its consumers by 50% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cheese?
A board of length L feet is cut into two pieces such that the length of piece A is 3 feet less than twice the length of piece B. Which of the following is the length, in feet, of piece A?
A man’s current age is of the age of his father. After 8 years, he will be of the age of his father. What is the age of father at now ?
If John invested $ 1 at 5 percent interest compounded annually, the total value of the investment, in dollars, at the end of 3 years would be
Four kids having five rocks each were playing a game in which they need to throw the rock at solid area in the water. Kid1: Succeeded in throwing three rocks at solid area but one of the rock sunk. Kid3: His aim was so bad that all rocks got sunk. Kid4: He was awesome and none of the rocks got sunk. Kid2 was the winner...
If a - b = 3 and a(power 2) + b(power 2) = 25, find the value of ab.
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
The total number of digits used in numbering the pages of a book having 366 pages is
6 noun, 3 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
A box contains 2 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
What is the probability of getting only 1 head in a single throw of four fair coins?
Can you find the missing number in the series below? 1 5 9 2 6 10 3 ? 11 4 8 12
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
in a class of 25 students, 15 play hockey and 16 play basketball. if there are 4 students who play neither sport, determine the number of students who play both hockey and basketball?
A clock loses a minute every three hours for 4 days and gains 2% in the subsequent 6 days. If it was set right on Friday at 11 AM, what will be the time at the end of 10 days?
Which of the following is equal to the average (arithmetic mean) of (x+5)^2 and (x-5)^2?
How many multiples of 9 are there between 1 and 50, exclusive?
A certain number of workers can do a work in 85 days. If there were 10 workers more it could be finished in 10 days less. How many workers are there?
If two of the four expressions x + y , x + 4y , x - y , and 4x - y are chosen at random, what is the probability that their product will be of the form of x^2-(by)^2, where b is an integer?
In a Question paper there are 4 multiple choice questions. Each question has 5 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the four answers correct?
A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Rebecca's yearly income is $15,000 and Jimmy's annual income is $18,000. By how much must Rebecca's yearly income increase so that it constitutes 55% of Rebecca and Jimmy's combined income?
You hold some gold in a vault as an investment. Over the past year the price of gold increases by 40%. In order to keep your gold in the vault, you must pay 5% of the total value of the gold per year. What percentage has the value of your holdings changed by over the past year.
Determine the ratio of the number of people having characteristic X to the number of people having characteristic Y in a population of 100 subjects from the following table People having X and Y are 20 People having X but not Y are 10 People having Y but not X are 30 People having neither X nor Y are 40.
A patient was given four pills which he is required to take one after every twenty-five minutes. How long can the pills run for him?
If x:y=7:5, y:z= 8:9, find x:y:z =?
A sum of money at simple interest amounts to $ 645 in 3 years and to $690 in 4 years. The sum is:
Tough and Tricky questions: Combinations. Eight contestants representing four different countries advance to the finals of a fencing championship. Assuming all competitors have an equal chance of winning, how many possibilities are there with respect to how a first-place and second-place medal can be awarded?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 6 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
A can finish a work in 24days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg. What might be the weight of the new person?
When the positive integer x is divided by 9,the remainder is 5.What is the remainder when 5x is divided by 9?
The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
Evaluate: (1 - 1/10)(1 - 1/11)(1 - 1/12)...(1 - 1/99)(1 - 1/100)
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is
At exactly what time past 9:00 will the minute and hour hands of an accurate working clock be precisely perpendicular to each other for the first time?
One millisecond is 0.001 of a second. The costs for a single run of a computer program are $1.07 for operating-system overhead, $0.027 per millisecond of computer time, and $4.35 for the mounting of a data tape. What is the total of these three costs for 1 run of a program that requires 1.5 seconds of computer time ?
A man spends Rs. 1900 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
If a town of 45,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to?
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
P can do a certain work in 18 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
Determine the value of 3*27/31+81/93
If it is assumed that 70 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph, then the speed of the boat in still water is :
The ratio of a to b is 4 to 5, where a and b are positive. If x equals a increased by 25 percent of a, and m equals b decreased by 80 percent of b, what is the value of m/x?
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability ...
Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 262 runs?
A first grade teacher uses eight playing cards, each numbered from 1 to 8 to teach her students to order numbers correctly. She has students choose four flash cards randomly, then arrange the cards in ascending order. One day, she removes the cards '2' and '4' from the deck. On that day, how many different correct arra...
Out of first 30 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is -.
A computer wholesaler sells six different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
Ages of two persons differ by 22 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?
The prices of tea and coffee per kg were the same in june. In August the price of coffee shot up by 20% and that of tea dropped by 20%. if in August , a mixture containing equal quantities of tea and coffee costs 50/kg. how much did a kg of coffee cost in june ?
A number x is multiplied with itself and then added to the product of 4 and x. If the result of these two operations is 12, what is the value of x?
The average temperature of the town in the first four days of a month was 57 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day ?
Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
P and Q can do a work in 30 days. Q and R can do the same work in 24 days and R and P in 20 days. They started the work together, but Q and R left after 10 days. How many days more will P take to finish the work?
A grocer has a sales of Euro 6435, Euro 6927, Euro 6855, Euro 7230 and Euro 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Euro 6500?
The ratio between the sale price and the cost price of an article is 7:4. What is the ratio between the profit and the cost price of that article?
A starts business with a capital of Rs.1200 B and C join with some investments after 3 and 6 months respectively. If the end of a year, the profit is divided in the ratio 2:3:5 respectively. What is B's investment in the business?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 20%?