Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
In how many ways can 5 boys and 2girls be arranged at a table if 2girls are never together?
A car covers a distance of 624 km in 3 hours. Find its speed?
A and B can do a piece of work in 50 days and 50 days respectively. They work together for 10 days and B leaves. In how many days the whole work is completed?
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements E.
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of?
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 30
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 8 women and 12 children take to complete the work?
In a kilometer race, A beats B by 40 meters or 10 seconds. What time does A take to complete the race?
If d is the standard deviation x, y, and z, what is the standard deviation of x +3, y + 3, z + 3 ?
Right now, the ratio between the ages of Sandy and Molly is 4:3. After 6 years, Sandy’s age will be 30 years. What is Molly's age right now?
A person lent a certain sum of money at 6% per annum at simple interest and in 8 years the interest amounted to $572 less than the sum lent. What was the sum lent?
The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, What is the the speed of the first train?
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 20 kmph?
6, 11, 21, 36, 56, ?
Salaries of A, B and C were in the ratio 3 : 5 : 7 respectively. If their salaries were increased by 50 per cent, 60 per cent and 50 per cent respectively, what will be the new ratio of their respective salaries?
How many terms are there in 2, 4, 8, 16,..., 2048?
Which of the following is the product of two integers whose sum is 12?
In the formula V = 1/(2r)^2, if r is halved, then V is multiplied by?
Mrs. Napier has 38 stickers to give to 5 students for a reward. How many stickers will each student get? Will there be any stickers left over?
If 3<x<6<y<8, then what is the greatest possible positive integer difference of x and y?
Two Copiers are being used to produce 2400 copies of a 1-page document. One Copier runs at 150% of the speed of the other. How many copies should be made on the faster copier so that both copiers will finish the same time?
The ratio of a compound, by weight, consisting only of substances x, y, and z is 4:6:10, respectively. Due to a dramatic increase in the surrounding temperature, the composition of the compound is changed such that the ratio of x to y is halved and the ratio of x to z is tripled. In the changed compound, if the total w...
When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are
12 men and 18 boys working 7.5 minutes an hour complete a particular piece of work in 60 hours. If a boy’s work is half as efficient as a man’s work, how many boys will be needed to help 21 men to achieve twice the work in 50 hours working 9 minutes in an hour.
Find a sum for first 5 prime number's?
The number of new words that can be formed by rearranging the letters of the word 'OF' is
A student travels from his house to school at 10 km/hr and reaches school 2 hours late. The next day he travels 15 km/hr and reaches school 1 hour early. What is the distance between his house and the school?
How many positive integers less than 7,000 are there in which the sum of the digits equals 5?
The value of a scooter depreciates in such a way that its value of the end of each year is 3/4 of its value of the beginning of the same year. If the initial value of the scooter is Rs.40,000, what is the value at the end of 1 year?
For integers x, y, and z, if (3^x) (4^y) (5^z) = 13,107,200,000 and x + y + z = 16, what is the value of xy/z?
A does a work in 20 days and B does the same work in 30 days. In how many days they together will do the same work ?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.6 per sq m?
If 4 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
Frank the Fencemaker needs to fence in a rectangular yard. He fences in the entire yard, except for one full side of the yard, which equals 40 feet. The yard has an area of 200 square feet. How many feet offence does Frank use?
If n is an even negative integer, which of the following must then be an odd positive integer?
A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale?
There were two clock one is getting slow by two minutes/hr and another one is gaining 1 minute every hour and exactly after how many hours there two clock has a 1hr difference.
Jerry left a job paying $75,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission. If each of his sales is for $750, what is the least number of sales he must make per year if he is not to lose money because of the change?
Mathematics, physics, and chemistry books are stored on a library shelf that can accommodate 25 books. Currently, 20% of the shelf spots remain empty. There are twice as many mathematics books as physics books and the number of physics books is 4 greater than that of the chemistry books. Ricardo selects 1 book at rando...
A number increased by 20% gives 600. The number is
. On dividing a number by 357, we get 38 as remainder. On dividing the same number 17, what will be the remainder ?
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 18 years(the child was born during the interval). What is the present age of the child?
There are 8 digit mobile numbers. From that how many 8 digit mobile numbers can be formed if any digit can be repeated and 0 can also start the mobile number?
Let y = 2m + x^2 and m = 5x + 1. If m^2 = 36, then which of the following can be a value of 2y + 3m?
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Find two numbers whose sum is 26 and whose product is 165.
Pure milk costs 3.60 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. How many litres of water does he add?
If y = x^2 + mx + n, y is minimum when x is:
Find the value of 3 x [(3.6 x 0.48 x 2.50) / (0.12 x 0.09 x 0.5)]
A dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
The sale price sarees listed for Rs.340 after successive discount is 20% and 15% is?
If 2|2 –w| = 5, what is the sum of all the possible values for w ?
Factor: 16w3 – u4w3
Let the polynomials be: P1(x)=3x2−7x+5, P2(x)=−5x2−4x+2, P1(x)+P2(x)=
5^100 is divided by 18. Then what is the remainder?
If an investor puts $1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
If x is real, find the maximum value of the expression -2x^2 + 11x + 13.
A family of 7 queue to get ice cream from a an ice cream van. What is the probability that the father will be standing right in front of the mother in the queue?
Find the area of trapezium whose parallel sides are 24 cm and 18 cm long, and the distance between them is 15 cm.
In a group of 800 people, 3/5 play at least one instrument, 96 play two or more. What is the probability that one student play exactly one instrument?
The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 5 years is
Two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds. The ratio of their speeds is:
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Working alone, machine X can manufacture 1,200 nails in 12 hours. Working together, machines X and Y can manufacture 1,200 nails in 6 hours. How many hours does it take machine Y to manufacture 1,200 nails working alone?
A store sells seven different kinds of shirts. If we want to buy two different kinds of shirts, how many possible combinations of two shirts can we buy?
In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.5400. How much third person will get?
10% of the inhabitants of a village having died of cholera, a panic set in, during which 25% of the remaining inhabitants left the village. The population is then reduced to 4050. Find the number of original inhabitants.
A bag contains 15 wool scarves, exactly one of which is red and exactly one of which is green. If Deborah reaches in and draws three scarves, simultaneously and at random, what is the probability that she selects the red scarf but not the green scarf?
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
the probability that I will sit next to Ann is 1/12. the probability that I won't sit next to Alice is 11/12. What is the probability that I will sit next to Alice and not next Ann?
For any integer z, the function PODD(z) is defined as the product of all odd integers between –z and z, inclusive. Which of the following numbers will not divide PODD(-15) completely?
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. What is the present age of the mother?
There are 11 stamps from which two stamps will be selected. We have five stamps which are the same as five of the stamps which could be selected. What is the probability that the two stamps selected will be different from the stamps that we have?
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 18% if no discount was offered?
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
If the S.P of Rs. 21 results in a 30% discount on the list price, What S.P would result in a 10% discount on the list price?
Look at this series: 544, 509, 474, 439,404, 369, 334, ... What number should come next?
In how many ways can the letters of the word "SATURN" be arranged?
If TIER is written as 9163 and BRAIN is written as 23415, how is RENT coded ?
An investor bought N shares of company X at $15 per share and N shares of company Y at $20 per share. If a month later the investor sold all the shares at $20 per share and made a profit of $200, then what is the value N?
If 1488 / 1.24 = 1200, then 148.8 / 12.4 is equal to ?
Given that E and F are events such that P(E) = 0.16, P(F) = 0.4 and P(E n F) = 0.4, find P (E|F) and P(F|E)?
2,6,30,60,130,221...tell 8th digit in series??
The equal amounts of money are deposited in two banks each at 15% per annum for 3.5 years and 5 years respectively. If the difference between their interests is Rs.144, find the each sum?
A dog buys a boat for rs.132.44 and sells it for rs.263.59. Find her gain %.
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Evaluate 100^2 - 99^2 + 98^2 - 97^2 + 96^2 - 95^2 + ... + 2^2 - 1^2 =?
The compound interest on $ 27,000 at 11% p.a is $ 11,000.Find out the period (in years) ?
What is the units digit of (3^10)(4^13)?
The sector of a circle has radius of 7 cm and central angle 135o. Find its perimeter?
If Josh, Doug, and Brad have a total of $68 between them, and Josh has two times as much money as Brad but only three-fourths as much as Doug, how much money does Brad have?
WILLIAM has 13 ten-dollar bills, 11 five-dollar bills, and 17 one-dollar bills. If WILLIAM needs to pay exactly $128, what is the least number of bills he will need to use?
A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A train 280 m long, running with a speed of 63 km/hr will pass a tree in?