Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 27, what is the total amount?
A certain store sells only black shoes and brown shoes. In a certain week, the store sold x black shoes and y brown shoes. If 2/9 of all shoes sold that week were black, which of the following expressions represents the value of y, in terms of x?
If in a $210 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
If 55^4*11^6*16^3 = x, what is the units digit of x ?
For how many integers n is 1^n+1 = (n+1)^1?
If x^2 − 2x − 15 = (x + r)( x + s) for all values of x, and if r and s are constants, then which of the following is a possible value of( r − s)/2?
A student is ranked 12th from right and 6th from left. How many students are there in totality ?
If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third?
A train speeds past a pole in 10seconds and a platform 50 m long in 20 seconds. Its length is:
If A^2 + B^2 = 25 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2?
The price of a car is marked at $12,000. If the car has successive discounts of 20%, 15% and 5%, then at what price does a customer buy the car?
If a^2=b^2 and b^2=1 ,then what will be the value of a^2+b^2?
a,b,c,d,e,f,g,h sitting in a row what is the probability that a,b,d are sitting together?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
If the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is?
In the storage room of a certain bakery, the ratio of sugar to flour is 3 to 8, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
How much more would Rs.10000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
A four-sided shape has angles with ratio 1:2:3:4. What is the measurement of one of its angles?
Find the odd man out. 18, 16, 12, 24, 12, 34, 15
The size of a television screen is given as the length of the screen's diagonal. If the screens were flat, then the area of a square 22-inch screen would be how many square inches greater than the area of a square 20-inch screen?
Which of the following is not the square of an integer?
Six people are on an elevator that stops at exactly 6 floors. What is the probability that exactly one person will push the button for each floor?
What are the last two digits of 63*35*37*82*71?
A train moves fast a telegraph post and a bridge 264 m long in 2 sec and 20 sec respectively. What is the speed of the train?
In Town X, 72 percent of the population are employed, and 36 percent of the population are employed males. What percent of the employed people in Town X are females?
If x > 0, x/40 + x/20 is what percent of x?
An electric pump can fill a tank in 6 hours. Because of a leak in the tank, it took 12hours to fill the tank. If the tank is full, how much time will the leak take to empty it?
During the months May through October, Teddy the bear quadruples his weight, and during the months November through April, Teddy loses 100 pounds. If at the beginning of November 1973, Teddy's weight was m pounds, what was Teddy's weight in pounds by the end of April 1976?
Six boys picked up 30 mangoes .In how many ways can they divide them if all mangoes be identical?
What least number should be subtracted from 13604 such that the remainder is divisible by 87 ?
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3360. They completed the work in 3 days with the help of C. How much is to be paid to C?
Rs. 5200 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 60% chance of rain each of the next two evenings, what is the probability t...
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 290 votes. The total number of votes polled was?
if a@b = a * b^(1/2) then 4@9 = ? self made
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 280 sq cm. Find the area of the square?
What is the next number of the following sequence 2,2,12,12,30,30,_?
The smallest number which when diminished by 12, is divisible 12, 24, 36, 48 and 56 is:
A k-almost prime number is defined as a positive integer with exactly k prime factors that are not necessarily distinct. The third smallest 4-almost prime number, less the fourth smallest 3-almost prime number is
If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true? 1. Line L must passes through the first quadrant 2. Line L does pass the origin 3..The slope of L is negative
2: 5 = 4/3: x. The value of x is?
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.140. Find the unknown rate of two blankets?
10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age diference of 2 years), the present average age of the family is the same. The present age of the youngest child is ?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
If the circus were to sell all of its 220 tickets for this month's performance at its usual price, the revenue from sales would be 10% greater than that collected last month. If the circus raised the ticket price by 8% and sold only 200 tickets as a result, what percent less would last month's revenue be compared to th...
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
How many integers between 1 and 10^18 are such that the sum of their digits is 2?
A cylindrical water filter is filled with water at a rate of 11 cubic meters per hour, the level of water in the filter rises at a rate of 0.4 meters per hour. Which of the following best approximates the radius of the filter in meters?
A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
Company X provides bottled water to its employees in 1 liter bottles, $2 each. At least how many 1L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
Harkamal purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 60 per kg. How much amount did he pay to the shopkeeper?
The units digit in the product 274 x 318 x 577 x 313 is
For a journey the cost of a child ticket is 1/3rd of the cost of an adult ticket. If the cost of the ticket for 4 adults and 5 children is Rs. 85, what is the cost of a child ticket?
This year, MBB Consulting fired 5% of its employees and left remaining employee salaries unchanged. Sally, a first-year post-MBA consultant, noticed that that the average (arithmetic mean) of employee salaries at MBB was 10% more after the employee headcount reduction than before. The total salary pool allocated to emp...
A farmer divided certain number of acres of land among 3 sons and 1 daughter in such a way that 1/3rd of the total land was given to elder son, 1/2 of the remaining was given to second son, 1/3rd of the remaining was given to his younger son, and the remaining to his daughter. As a result, the younger son and daughter ...
Margaret is 8 years more than twice the age of his son. The age of son is 12. Find the age of mother and find the difference between their ages
How many of the positive factors of 24 are not factors of 25
If 2x + y + 3z = 10 ,-3x - 2y + 7z = 5 ,3x + 3y - 4z = 7 , what is the value of x ?
If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is :
A glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
Tom has travelling to 7 cities. Gasoline prices varied from city to city. What is the median gasoline price?
r=3^(n+3), then in terms of r, 9^n=
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive T difference between n and m?
Kamal started a business with Rs.25000 and after 4 months, Kiran joined him with Rs.60000. Kamal received Rs.58000 including 10% of profit as commission for managing the business. What amount did Kiran receive?
Nathan took out a student loan for 1200$ at 10 percent annual interest, compounded annually. If he did not repay any of the loan or interest during the first 3 years, which of the following is the closest to the amount of interest he owed for the 3 years.
Two pipes A and B can fill a cistern in 8 and 12 minutes respectively, and a third pipe C can empty it in 16 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. If it takes him exactly 7 minutes more to walk to work than to ride his bicycle, then x equals
A(n+1)=1+(1/A(n)) and A(1)=1. What is the value of A(6)?
100 is what percent of 40? .
a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b?
During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold was 25,200, how many of them were sold at full price?
x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?
17 times a positive integer is more than its square by 60, then the positive integer is
Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove 2/5 of the total distance, what was the ratio of Tom's average speed to Peter's average speed?
Mixture A is 30 percent alcohol, and mixture B is 60 percent alcohol. If the two are poured together to create a 4-gallon mixture that contains 40 percent alcohol, approximately how many gallons of mixture A are in the mixture?
The product of Tom's age in years, and half of Jerry's age in years, is 54. If Jerry is 3 years younger than Tom is, Jerry is how many years old?
A case contains c cartons. Each carton contains b boxes, and each box contains 500 paper clips. How many paper clips are contained in 2 cases?
Chandigarh express of 100 m runs at a speed of 60 km/hr. What will be the time taken to cross a platform of 150 meters long?
In a dairy farm, 45 cows eat 45 bags of husk in 45 days. In how many days one cow will eat one bag of husk ?
When p is divided by 9, the remainder is 4. All of the following are possible values of p, except for which of the following?
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 190 kmph. Find the speed of the boat in still water and the speed of the stream?
There are two lines in the neighbourhood supermarket. In the first line there are 2 people, one with 10 items in her cart and the other with 14 items. In the second line there are 3 people, one with 11 items, one with 12 items and one with 13 items. What is the probability of randomly picking 2 people (it doesn't matte...
What is the greatest integer that will always evenly divide the sum of two consecutive even integers?
What will be the compound interest on a sum of Rs.25,000 after 3 years at the rate of 12 p.c.p.a?
One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?
add 16% of 36 and 13% of 45.
Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 200 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters?
In an election between two candidates first candidate got 60% of votes polled and second Candidate got 280 votes. The total number of votes polled was?
A boatman can row 3 km against the stream in 20 minutes and return in 12 minutes. Find the rate of current ?
How many 3 digit positive integers with distinct digits are there, which are not multiples of 10?
Find the value of 72519 x 9999 = m?
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 62.5. When one student dropped the class, the average of the remaining scores increased to 63.0. What is the quiz score of the student who dropped the class?
Jones invested a certain sum of money in a simple interest bond whose value grew to $500 at the end of 3 years and to $ 800 at the end of another 4 years. What was the rate of interest in which he invested his sum?
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.238 where as B does not. In what ratio should they divide the second year's profit?
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $40,000?
In an election between two candidates - Lange and Sobel - 70% of the voters voted for Sobel. Of the election`s voters, 60% were male. If 35% of the female voters voted for Lange, what percentage of the male voters voted for Sobel?
A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is?