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big_math_dataset

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A room 5.44m long and 3.74m broad is to be paved with square tiles. The least number of square tiles required to cover the floor is:
A textile manufacturing firm employees 125 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 125 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread ove...
P, Q and R started a business by investing Rs.120000, Rs.135000 and Rs.150000 respectively. Find the share of each, out of the annual profit of Rs.56700.
In a class of 40 students, 5 students did not borrow any books from the library, 15 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of bo...
What least number must be subtracted from 427398 so that remaining no.is divisible by 14
If the perimeter of a rectangular stadium is 800 m, its length when its breadth is 300 m is?
The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. The correct average is?
The areas, in kilometers squared, of some countries are given below. USA: 9,629,091, Russia: 18,098,242, China: 9,598,094, Canada: 9,984,670, the UK: 242,400 and India: 3,287,263. What is the difference between the areas of Russia and China?
On a scale that measures the intensity of a certain phenomenon, a reading of n+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
If it takes a tub 4 minutes to drain 5/7 of its content, how much more time will it take for the tub to be empty?
if none of the figures 2,4,5,7,8,0 be repeated,how many different numbers of 4 digits can be formed wiyh them.?
Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.
In how many ways can the letters of the word AGENDA be rearranged such that the vowels always appear together?
At a kennel with 80 dogs, 45 of the dogs wear tags and 40 wear flea collars. If 6 of the dogs wear both, then how many of the dogs wear neither a collar nor tags?
The difference between a two-digit number and the number after interchanging the position of the two digits is 36. What is the difference between the two digits of the number?
3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new mixture is?
The population of a town is 10000. It increases annually at the rate of 27% p.a. What will be its population after 2 years?
Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $6.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same ...
The three competitors in a race have to be randomly chosen from a group of four men and three women. How many different such trios contain at least one woman?
Four percent of the programmers in a startup company weigh 200 pounds or more. Twenty-five percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. What percent of the programmers in the startup company weigh between 100 and 200 pounds?
There are three guys who have equal number of bullets. All of them shoot 12 bullets. The remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. What was the original number of bullets each one had?
What is the sum of all four digit integers formed using the digits 3 ,4 ,5 and 6 (repetition is allowed)
Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?
Y invested $1000 in a business and Z invested $3000 in a business. At the end of the year they got $4000 as the profit. Find their share?
If the price of petrol increases by 25% and Bill intends to spend only an additional 15% on petrol, by how much % will he reduce the quantity of petrol purchased?
A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?
What is the difference between the place value of 2 in the numeral 7889?
If two balls are randomly selected from a green urn containing 7 black and 7 white balls and placed into a yellow urn initially containing 5 black and 3 white balls. What is the probability that the yellow urn will contain an equal number of black and white balls after the change?
What is the probability of rolling a total of 4 with a single roll of two fair six-sided dice, each with the distinct numbers 1 through 6 on each side?
The age of man is three times the sum of the ages of his two sons. Six years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 14000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
A sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years. The sum is:
What is the are of an equilateral triangle of side 16 cm?
In a certain school, the ratio of boys to girls is 5 to 13. If there are 80 more girls than boys, how many boys are there?
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
Find the unit's digit in the product 2467 153 * 34172?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
There is a point P on the circle. A and B started running in two constant different speeds. A in Clockwise and B in Anti-clockwise. First time 500 m in Clockwise from P then 400 Anti-clockwise. If B is yet to complete one round, What is the circumference of the circle?
It is required to seat 3 boys and 2 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
What is the smallest integer z for which 27^z> 3^24?
Its festive time and all big companies are offering the big discount especially on iPhone whose price is staggering Rs. 65,000. Following is the offer from the three major companies in India. : Amazon offers Flat 65% discount : Flipkart offers 10% discount over and over again. : Snapdeal offers RS 42,000 off. Which is ...
300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 45% of the customers that had p...
A retailer set the tag price of an item at $200. On a certain public holiday, the retailer set a 20% discount on the tag price, thinking that he will still make a profit equal to 25% of the price he had originally paid for the item. How much did the retailer originally pay for the item?
Find the compound interest on $1000 in 2years at 4% per annum, the interest being compounded half-yearly?
The average weight of 8 girls increases by 3 kg when a new girl comes in place of one of them weighing 70 kg. What might be the weight of the new girl?
A package contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A coin is tossed live times. What is the probability that there is at the least one tail?
When positive integer B is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
If an average hard drive had a capacity of 0.2 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
A palindrome is a number that reads the same forward and backward, such as 121. How many odd, 4-digit numbers are palindromes?
A merchant marks his goods up in such a way that the profit made on selling 30 articles is equal to the cost price of 20 articles. What is the R % profit made by the merchant?
If 3 men or 4 women can reap a field in 43 days how long will 7 men and 5 women take to reap it?
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 840?
A certain store sells all maps at one price and all books at another price. On Monday the store sold 12 maps and 10 books for a total of $42.00, and on Tuesday the store sold 20 maps and 15 books for a total of $70.00. At this store, how much less does a map sell for than a book?
There are 12 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
courtyard 3.78 meters long 5.95 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for the purpose?
750 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
The difference between the simple interest received from two different sources on Rs. 500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
IF n >0 what is the remainder when 912^n+3 is divided by 10
The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?
If m/49 is an integer, then each of the following must be an integer EXCEPT
If x and y are positive integers, and x^3*y^4 = 432, which of the following is the value of xy?
20 women can do a work in 9 days. After they have worked for 6 days. 6 more men join them. How many days will they take to complete the remaining work?
What is the area S of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
The perimeters of two squares are 40 cm and 32 cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares.
The payment per hour for a daily-wages employee is increased by 33.33 and the working time is reduced by 33.33%. What is the percentage change in the employee's income?
The sides of a cube are in the ratio 1:2 the ratio of their volume is?
Nine pens are in the table.To create three pens in each group like as three group. How many ways are there to create these 3 teams?
With a slope of 4, with a straight line in the xy- plane which has a point with x-coordinate of the point 14 and y-coordinate 19, find the y-intercept.
A honey bee flies for 10 seconds, from a daisy to a rose. It immediately continues to a poppy, flying for 6 additional seconds. The distance the bee passed, flying from the daisy to the rose is 14 meters longer than the distance it passed flying from the rose to the poppy. The bee flies to the poppy at 3 meters per sec...
If x+y=270, x-y=200, for integers of x and y, y=?
Subtracting 10% from X is the same as multiplying X by what number?
In a simultaneous throw of two coins the probability of getting at least one head is ?
1,257 1,275 1,527 ........ ........ +7,521 The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,5 and 7 exactly once in each integer. What is the sum R of the 24 integers ?
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.60 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
What least number must be added to 3000 to obtain a number exactly divisible by 19 ?
Jill is dividing her 12-person class into two teams of equal size for a basketball game. If no one will sit out, how many different match-ups between the two teams are possible?
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 35% profit?
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the flight ?
A man has Rs.10350 in the form of Rs.50 notes and Rs.500 notes. The total number of notes are 72.Find the number of notes of Rs.50 denomination.
A vendor bought bananas at 6 for $10 and sold them at 4 for $6. Find his gain or loss percent?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good.
A train sets off at 9:00 am at the speed of 70 km/h. Another train starts at 9:30 am in the same direction at the rate of 84 km/h. At what time will the second train catch the first train?
A ladder 14 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 5 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
An athlete runs 200 meters race in 10sec. His speed is?
What is the compound interest paid on a sum of Rs.3000 for the period of 3 years at 10% per annum.
A ball is bought for Rs.400 and sold at a gain of 20% find its selling price
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M...
A rectangular-shaped carpet that measures x feet by y feet is priced at $18. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
What is the difference between the place value of 2 in the numeral 7449?
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :
During a certain week, a seal ate 40% of the first 80 smelt it came across, and 30% of the remaining smelt it came across. If the seal ate 40% of the smelt it came across during the entire week, how many smelt did it eat?
If 14m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
The average age of a husband and a wife is 23 years when they were married FOUR years ago but now the average age of the husband, wife and child is 19 years(the child was born during the interval). What is the present age of the child?
John and David work at a hospital with 10 other workers. For an internal review, 2 of the 10 workers will be randomly chosen to be interviewed. What is the probability that John and David will both be chosen?