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big_math_dataset

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A and B together can do a work in 4 days. If A alone can do it in 20 days. In how many days can B alone do it?
If a and b are positive integers and a/b=0 then which of the following give positive Numbers and CANNOT be zero?
For which of the following values of s is (30+s)/s an integer?
In the decimal notation of number (223)3(223)3, what is the third digit to the right of the decimal point?
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 2500. The difference between the profit shares of A and C is?
If 15% of A is the same as 40% of B, then A : B is :
If y exceeds x by 20%, then x is less than y by?
A train crosses a platform of 120 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
A shopkeeper offers 2.5% discount on cash purchases. What cash amount would Rohan pay for a cycle the marked price of which is $650?
z is a positive integer and multiple of 2; v = 4^z, what is the remainder when v is divided by 10?
The CI on Rs. 30,000 at 7% per year is Rs. 4347. The period is?
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
A committee is reviewing a total of 20x black-and-white films and 6y color films for a festival. If the committee selects y/x% of the black-and-white films and all of the color films, what fraction R of the selected films are in color?
The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
Find Next Number in the Series 2 9 3 1 8 4 3 6 5 7 ?
Two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
A contractor undertook to do a piece of work in 9 days. He employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. Find the number of men originally employed .
If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is ?
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speech...
In how many ways can 4 indistinguishable red balls and 2 different blue balls be arranged in a line?
To be eligible for retirement benefits at the Sieman Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 64. If x, where x <64, is a certain employee's age when hired and y is the minimum number of years of employment required for the employee to be eligible for reti...
Barbara has 8 shirts and 12 pants. How many clothing combinations does Barbara have, if she doesn’t wear 2 specific shirts with 3 specific pants?
In the first 20 overs of a cricket game, the run rate was only 4.2. What should be the run rate in the remaining 30 Overs to reach the target of 324 runs?
The average weight of 8 person's increases by 4.2 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively.The length of the train is:
A movie buff owns movies on DVD and on Blu-ray in a ratio of 9:2. If she buys 2 more Blu-ray movies, that ratio would change to 17:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 385 but three tickets from city A to B and two tickets from city A to C cost Rs. 365. What are the fares for cities B and C from A ?
36, 34, 30, 28, 24, 22, 18, 16, ?
A and B started a partnership business investing Rs. 20,000 and Rs. 15,000 respectively. C joined them with Rs. 20,000 After six months. Calculate B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
There were two candidates in an election. Winner candidate received 54% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 400 m long?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
How many numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
There are 750 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female?
On the first day of her vacation, Louisa traveled 100 miles. On the second day, traveling at the same average speed, she traveled 175 miles. If the 100-mile trip took 3 hours less than the 175-mile trip, what was the average speed, in miles per hour?
The instructions state that Cheryl needs 5/11 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 25/55 square yards left that she did not use. What is the total amount of square yards of materia...
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 990 grams. Find the profit percent.
In the recent, science conference in New York, out of 400 men, 1100 women, 300 children present inside the building premises, 40% of the men, 30% of the women and 20% of the children were Indians. Find the percentage of people who were Indian?
At what rate percent on simple interest will Rs.750 amount to Rs.900 in 5 years?
On a purchase of $127, a store offered a payment plan consisting of a $27 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
A rectangular grassy plot 110m by 65cm has a gravel path .5cm wide all round it on the inside. Find the cost of gravelling the path at 80 paise per sq.mt?
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.
Walking 7/6 of his usual rate, a boy reaches his school 3 min early. Find his usual time to reach the school?
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 4 hours and machine Y produces k bottles in 5 hours. How many hours does it take machines X and Y , working simultaneously , to produce 10k bottles?
How many pairs of letters are there in the word INSTITUTE which have as many letters between them in the word as in the English alphabet?
P, Q and R can do a work in 6 , 9 and 12 days respectively. They completed the work and got Rs.195. What is the share of P?
A table is bought for Rs.500/- and sold at Rs.600/- find gain or loss percentage
There are 10 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
How many odd integers S between 200 and 600 are there such that their tens digit is even?
A bus takes 2 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 5/2th of the previous time?
The L.C.M. of 2 numbers is 100. The numbers are in the ratio 4:1. Find their product?
A 14% stock yielding 10% is quoted at :
A salesman's income consists of a commission and a base salary of $400 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $395. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week per...
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
The average (arithmetic mean) of four numbers is 4x + 3. If one of the numbers is x, what is the average of the other three numbers?
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
You are renting an apartment and you need √676 for each side, how many feet are you looking to measure?
A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
If 60% of (x-y) = 20% of (x+y), then what percent of x is y?
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at
The radius of a semi circle is 4.8 cm then its perimeter is?
The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream? A. 35, 25 kmph
Set C is composed of nine numbers, labeled C1 through C9. Set D is also composed of nine numbers, labeled D1 through D9. Set D is defined as follows: D1 = 1 + C1; D2 = 2 + C2; and so on, including D9 = 9 +C9. How much larger is the sum of set D's mean and range than the sum of set C's mean and range?
John makes $60 a week from his job. He earns a raise andnow makes $70 a week. What is the % increase?
A teacher prepares a test. She gives 7 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 2 questions have 3 choices and the last 5 have 4 choices.
In how many ways a team of 11 must be selected a team 5 men and 11 women such that the team must comprise of not more than 3 men.
Tough and Tricky questions: Percents. Over the course of a year, a certain microbrewery increased its beer output by 90 percent. At the same time, it decreased its total working hours by 5 percent. By what percent did this factory increase its output per hour?
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
In how many ways Chief Minister and Minister be elected from a team of 10 members?
Elena purchased Brand X pens for $4.00 apiece and brand Y for $2.80 apiece. If Elena purchased a total of 12 of these pens for $40.00, how many brand X pens did she purchase?
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Ingrid bake?
Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
The ratio between the length and the breadth of a rectangular park is 4 : 1. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park (in sq. m) is?
Look at this series: 201, 202, 204, 207, ... What number should come next?
How many diagonals does a polygon with 19 sides have, if one of its vertices does not connect to any diagonal?
A car covers a distance of 624 km in 6 ½ hours. Find its speed?
2^2*3^2*2^3*3^2*5^2 =
Today is Thursday. The day after 53 days will be?
The sum of ages of 5 children born at the intervals of 3 years each is 80 years. What is the age of the youngest child?
Two persons A and B take a field on rent. A puts on it 21 horses for 3 months and 15 cows for 2 months; B puts 15 cows for 6months and 40 sheep for 7 1/2 months. If one day, 3 horses eat as much as 5 cows and 6 cows as much as 10 sheep, what part of the rent should A pay?
A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
The reflex angle between the hands of a clock at 10.25 is
Three cubes of metal whose edges are 9, 12 and 24 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
If a and b are positive integers, and (2^3)(3^4)(5^7)=(a^3)∗b, how many different possible values of b are there?
A house is to be constructed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
The length of a rectangle is reduced by 10%. By what % would the width have to be increased to maintain the original area?
Find the amount on Rs.9000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
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?
There are three foam generators in the factory, each of the first two can generate 12 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that ...
A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $17000 left with him. find salary..
Oranges are bought at 7 for Rs.5. At what rate per hundred must they be sold to gain 33%?
A trader sells 85 meters of cloth for Rs. 8925 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
If the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
A rectangular table seats 4 people on each of two sides, with every person directly facing another person across the table. If eight people choose their seats at random, what is probability that any two of them directly face other?
Two pipes A and B can fill a tank in 36 min. and 45 min. respectively. A water pipe C can empty the tank in 30 min. First A and B are opened. After 7 minutes, C is also opened. In how much time, the tank is full?
Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
Question: By selling an mobile for Rs. 3000, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Options: A 7%. B 9%. C 8%. D 2%. E 3%.