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big_math_dataset

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A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 9days, A finished the remaining work. In how many days A alone can finish the job?
The sum of the squares of three consecutive natural number is 2030. What is the middle number?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, then how old is B?
In a mixture of 60 liters, the ratio of milk and water is 4:1. What amount of water must be added to make the ratio of milk and water as 1:4?
At a local appliance manufacturing facility, the workers received a 10% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
The profit earned by selling an article for 812 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?
In a certain game, you perform three tasks. You flip a coin, and success would be heads. You roll a single die, and success would be a three. You pick a card from a full playing-card deck, and success would be picking a spades card. If exactly one of these three tasks is successful, then you win the game. What is the p...
For a recipe for triple berry pie calls for cups of strawberries, raspberries, and blueberries in a ratio of 1:2:3. How many total cups of fruit will you need to make the pie?
Mahesh can do a piece of work in 30days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work?
After M students took a test, the average score was 72%. If the test has 50 questions, what is the least number of questions that the next student has to get right to bring the average score up to 75%?
By selling 80 pens, a trader gains the cost of 20 pens. Find his gain percentage?
A train travels from station A to station B. If the train leaves station A and makes 75 km/hr, it arrives at station B 48 minutes ahead of scheduled. If it made 50 km/hr, then by the scheduled time of arrival it would still have 40 km more to go to station B. Find: A) The distance between the two stations; B) The time ...
In an examination, a pupil’s average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his history paper, his average per paper would have been 65. How many papers were there in the examination?
Maddie has 18 apples, if she give 12 to mike, how many does she have left?
At a garage sale, all of the items were sold at different prices. If the price of a radio sold at the garage sale was both the 18th highest price and the 25th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 130?
How many of the following numbers are divisible by 14 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
What is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11m 25 cm broad?
Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Q miles will Tom drive before Karen wins the bet?
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the avera...
There are 27 different three-digit integers that can be formed using only the digits 1, 3, and 4. If all 27 of the integers were listed, what would their sum be?
Mary's income is 500 dollars per week. How much does she makes every year?
Q is as much younger than R as he is older than T. If the sum of the ages of R and T is 50 years, what is definitely the difference between R and Q's age?
In the floor of a particular kitchen owned by an abstract artist, each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left. If there are nine rows in all and a total of 360 tiles in the floor, how many tiles does the leftmost row contain?
When Q is divided by W, the quotient is R and the remainder is X. Which of the following expressions is equal to X?
A and B invests Rs.3000 and Rs.4500 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?
On a school’s Annual day sweets were to be equally distributed amongst 112 children. But on that particular day, 32 children were absent. Thus the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get ?
A group of boy scouts and girls scouts is going on a rafting trip. 60% of the scouts arrived with signed permission slips. If 45% of the scouts were boy scouts and 50% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the neare...
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An investment compounds annually at an interest rate of 10% What is the smallest investment period by which time the investment will more than triple in value?
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
A certain no. when divided by 140 leaves a remainder 25, what is the remainder if the same no.be divided by 15?
In how many different ways can the letters of the word VALUE be arranged in such a way that the vowels occupy only the odd positions?
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?
A cylinder of height h is 2/3 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h?
Fence X is twice as long as fence Y, and fence Y is 2 feet shorter than fence Z. If 3 feet were added to each fence, which of the following must be true? I) Y is 3 feet shorter than X. II) Y is 2 feet shorter than Z. III) X is shorter than Z.
Divide Rs. 1500 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
Food grains are to be sent to city from go down. Owner wants to reach the food grains at 11 O' Clock in the city. If a truck travels at a speed of 30km/hr then he will reach the city one hour earlier. If the truck travels at a speed of 20km/h then he will reach the city one hour late. Find the distance between the go d...
The contents of a certain box consist of 14 apples and 20 oranges. How many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
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?
Dhoni spent 40 percent of his earning last month on rent and 20 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did Dhoni have left over?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.65 km respectively. The time taken by the slower train to cross the faster train in seconds is?
x is a positive integer less than 500. When x is divided by 5, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
If 0 < a < b and k = (3a + 5b)/b , which of the following must be true?
If an investor puts $600 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,44,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
By selling an article at $600, a profit of 25% is made. Find its cost price?
The average of the marks of 12 students in a class is 50. If the marks of each student are doubled, find the new average?
Two brothers were expected to return here on the same day. Rajat returned 3 days earlier but Rohit returned 4 days later. If Rajat returned on Thursday, what was the expected day when both the brothers were to return home and when did Rohit Return?
For numbers x, y, z, and w, if x is 50% greater than y, and z is 20% greater than w, is what percent greater or less than ?
If a + b - c = 2d, and if a - b + c =-4e, then a =
There are 12 pieces of radioactive metal A that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare t...
10/21 of 3/5 of a number is greater than 4/7 of 1/5 of the same number by 36. What is half of that number?
How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
United Telephone charges a base rate of $9.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same?
A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/8 the total number of upgraded sensors on the entire satellite, what fraction...
If 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour?
There are two cars. One is 90 miles north of the other. Simultaneously, the car to the north is driven westward at 25 miles per hour and the other car is driven eastward at 35 miles per hour. How many miles apart are the cars after 2 hours?
Recipe requires 15mins to cook. you have 7 mins hourglass and a 11 mins hourglass with you. how will you measure 15 mins using them?
At what rate percent per annum will a sum of money double in 2 years.
If two numbers are in the ratio 2:3. If 10 is added to both of the numbers then the ratio becomes 3:4 then find the smallest number?
Positive integer y is 50 percent of 25 percent of positive integer x, and y percent of x equals 100. What is the value of y?
Three balls are to be tossed in a row. How many different sequences are possible if red and blue always follow one-another in each toss ?
A train 210 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
If 70% of an equal to 40% of b, then ratio between a and b is?
If 2/a + 3/a + 5/a is an integer, which of the following must also be an integer?
The value of x + x(xx) when x = 2 is:
Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?
What is the largest integer n such that 2^n is a factor of 20^8 ?
The difference between a number and its two-fifth is 510. What is 30% of that number?
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 5 p.c?
How many arrangements of the letters of the word GRADES can be made, without changing the place of the vowels in the word?
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places?
How many zeros does 500! end with?
If the sides of a triangle are 36 cm, 34 cm and 20 cm, what is its area?
Sachin can cover a distance in 1hr 24 min by covering 2/3 of the distance at 4 kmph and the rest at 5 kmph. The total distance is?
The length of the bridge, which a train 170 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 3 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
An object travels at fifteen feet per minute. How many feet does it travel in 24 minutes and 40 seconds?
What is the are of an equilateral triangle of side 16 cm?
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
Given that there are 11 cricket players per team, how many ways can you select 10 cricket players from 2 teams if no more than 7 players can be selected from each team?
A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
A boat goes 100 km downstream in 10 hours, and 75 m upstream in 15 hours. The speed of the stream is?
Two stations A and B are 110 km apart on a straight line. One train starts from A at 2 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
If the average (arithmetic mean) of five consecutive negative integers is 4k – 1, what is the difference between the greatest and least of the five integers?
How long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
There are a total of 10 students in Mr. Schmidt's gym class. Over the course of a badminton unit, each of the 10 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
What is x if x + 5y = 24 and y = 2?
In a race of 400 m, A can beat B by 40 m and C by 20 m. In how many meter race, C will beat B by 50m ?
The population of a town increases 22% and 25% respectively in two consecutive years. After the growth the present population of the town is 1220. Then what is the population of the town 2 years ago?
Find large number from below question 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
During a trip on an expressway, Kon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had t...
If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?
How many 3-digit integers between 100 and 200 have a digit that is the average (arithmetic mean) of the other 2 digits?
A sells a bicycle to B at a profit of 20%. B sells it to C at a profit of 25%. If C pays Rs. 225 for it, the cost price of the bicycle for A is