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big_math_dataset

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What is the 100th term of the series 2,4,8,14,22?
A water tank is one-fifth full. Pipe A can fill a tank in 15 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how many minutes will it take to empty or fill the tank completely?
A sporting goods store sold 60 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $200, what is the fewest number of $4 Frisbees that could have been sold?
For any positive integer n, the sum of the first n positive integers equals n(n+1)/2. What is the sum of all the integers between 1 and 50?
A rectangular wall is covered entirely with two kinds of decorative tiles: regular and jumbo. 1/3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. If regular tiles cover 70 square feet of the wall, and no tiles overlap, ...
If P represents the product of the first 16 positive integers, then P is not a multiple of:
A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers Q are possible?
If a man buys 20 lollipops for $90 and sold them for $2 dollars determine his loss
How many 4-digit even numbers are possible such that if one of the digits is 5, the next/succeeding digit to it should be 7?
Jack bought 200 packets of swiss chocolate. He was able to sell 1/2 of them at a 5% profit, another 1/4 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by Jack after selling those 200 packets. A packet sold at a loss had a price of $9. It's a bit confusing to say 5% o...
The cross-section of a stream is a trapezium in shape. If the stream is 10 m wide at the top and the area of cross-section is 640 sq m, the depth of stream is 80m and width at the bottom is?
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 4 days. For how many number of days should A and C should work together to complete the remaining work ?
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
John and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. John eventually performed on all 25 days of the festival, while Cindy performed on 5 fewer days than John performed. If Cindy gives John y dollars of her advance payment so that they would have each r...
in a railway station, there are tow trains going. One in the harbour line and one in the main line, each having a frequency of 10 minutes. the main line service starts at 5 o'clock. the harbour line starts at 5.02a.m. a man goes to the station every day to catch the first train. what is the probability of man catchinhg...
A dishonest dealer uses a scale of 95 cm instead of a metre scale and claims to sell at cost price. His profit is
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $948 in total compensation,...
If xy=9, x/y=36, for positive numbers x and y, y=?
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 25 and 200, then the least and greatest integers on the card could be
capacity of A doing work is double than B.if both together finish a work in 21 days,then A alone in how much days can finish the work?
Sumitra has an average of 56% on her first 7 examinations. How much should she make on her eighth examination to obtain an average of 60% on 8 examinations?
Find the number of ways in which 6 different beads can be arranged to form a necklace.
In what time will Rs. 1000 become Rs. 1331 at 10% per annum compounded annually?
Nr Books bought Nr of People 6 3 7 1 8 5 9 2 What is the median of books bought per person?
If p is a natural number and p! ends with r trailing zeros, then the number of zeros that (5p)! ends with will be
How much interest can a person get on Rs. 7200 at 17.5% p.a. simple interest for a period of two years and six months?
If the operation € is defined for all x and y by the equation x € y = 2*x*y, then 7 € (4 € 5) =
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.140000, find the cost of a camel?
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
If x > y^6 > z^7, which of the following statements could be true? I.x>z II.z=x III.x>y>z
A function g(n), where n is an integer, is defined as the product of all integers from 1 to n. How many of the followings must be a prime number? g(11) + 7; g(11) + 8; g(11) + 9; and g(11) + 10?
Balloons are bought at 12 for Rs.10/- and sold at 10 for Rs.12/-. Find the gain or loss percentage?
A shopkeeper gives a discount of 12, whereas a customer makes cash payment. Let 'p' denotes the percentage, above the cost price, that the shopkeeper must mark up the price of the articles ['p' is an integer] in order to make a profit of x. Which of the following can't be possible value of x?
Which is largest prime number?
Today Mary’s father is four times as old as Mary. Three years ago, he was 5 times as old. How old is Mary today?
mr. depak has $449,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends? Options:
In a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same five years ago. If the increase in the number of cheetahs in the zoo since then is 2, then what is the increase in the number of pandas?
In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction. Find the number of books.
20. A certain church bell rings the bell twice at half past the hour and four times at the hour plus an additional number of rings equal to what ever time it is. How many rings will the clock make from 6:20 in the morning to 11:10 in the morning?
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
Joshua and Jose work at an auto repair center with 4 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen?
A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
How many factors of 440 are odd numbers greater than 1?
January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
If 40 per cent of a number is added to an other number then it becomes 125 per cent of itself. What will be the ratio of first and second numbers?
Two vehicles A and B leave from Y to X. A overtakes B at 10:30 am and reaches X at 12:00. It waits for two hours and returns to Y. On its way, it meets B at 3 PM and reaches Y at 5 PM. B reaches city X waits for 1 hour and returns to y After how many hours will B reach to Y from the time A overtook him.
By selling 22 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
In a group of 100 people,60 like volleyball,50 like hockey. How many like both volleyball and hockey?
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 160 marks, the no of questions he attempts correctly is :
A man can row downstream at 20 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
Jim covers a distance of 8km in 50 minutes. If he covers 3km distance in 2/5th of time then, What speed should he maintain to cover the remaining distance in the remaining time?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 17. The larger of the two numbers is:
If 25% of a number is subtracted from a second number the second number reduces to its five-sixths. What is the ratio between the first number and the second number?
There are c cities. What is the number of airlines that connected 2 different cities (airline from city A to city B is different with airline from city B to city A)?
A dishonest grocer professes to sell pure butter at cost price, but he mixes it with adulterated fat and thereby gains 20%. Find the percentage of adulterated fat in the mixture assuming that adulterated fat is freely available?
The work done by a man, a woman and a child is in the ratio of 3:2:1. There are 20 men, 30 women & 48 children in a factory. Their weekly wages amount to Rs.840, which is divided in the ratio of work done by the men, women and children. What will be the wages of 15 men, 21 women & 30 children for 2 weeks?
5^100 is divided by 18. Then what is the remainder?
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $920 in total compensation,...
The banker’s gain on a sum due 3 years hence at 10% per annum is Rs. 120. The banker’s discount is
Three people took GMAT practice tests in which the minimum and maximum possible scores are 200 and 800, respectively. They each took a test 4 times, and no one scored below 610 or over 780. If the individual ranges of the three people's scores in those 4 practice tests were 50, 80 and 90, what is the difference between...
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 8 more than the average expenditure of all the nine. The total money spent by all of them was
At 12:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 3:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
In a certain province in France there are 19 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $49. What is the rate of interest per annum?
75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 32% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?
A single discount equivalent to the discount series of 30%, 10% and 5% is?
A table is bought for Rs.800/- and sold at a loss of 10% find its selling price
A merchant marks his goods up by 40% and then offers a discount of 15% on the marked price. What % profit does the merchant make after the discount?
A completes a work in 6 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be
A man swims downstream 40 km and upstream 30 km taking 5 hours each time, what is the speed of the man in still water?
How many total number of ways in which a distinct objects can be put into two different boxes is
An investor invests in a new fund. The fund averages 20% growth annually for the first three years, but it loses 20% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
There r 4 prime numbers in ascending order. The multiplication of first 3 is 385 and that of last 3is 1001. what is the last number is
A merchant has selected two items to be placed on sale, one of which currently sells for 30 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Find a sum for first 3 prime number'ss?
Father is aged square times more than his son john. After 3 years, he would be three times of John's age. what would be the age of John's Father after 15 years ?
An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 8 minutes, what part of the cistern will be emptied?
What is the probability that a 4-person committee chosen at random from a group consisting of 6 men, 7 women, and 5 children contains at least 1 woman?
The sum of two numbers is 30 and their difference is 10. Find their product.
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
A bag contains a certain number of 50 paise coins, 20 paise coins and 10 paise coins inthe ratio 3:4:5. If the total value of all the coins in the bag is Rs.400, find the number of 10 paise coins ?
The decimal d is formed by writing in succession all the positive, even integers in increasing order after the decimal point; that is d = 0.246810121416... What is the 100th digit of d to the right of decimal point?
The length of the bridge, which a train 120 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
The speed of a boat in still water is 65kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
Two motor cycles were sold for Rs 9,900 each, gaining 10% on one and losing 10% on the other. The gain or loss per cent in the whole transaction is
A sales representative receives a salary of $150 per week and earns a commission of 15% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600?
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 30 days, then together ,all will finish the work in :
Merry invested Rs. 8000 in a scheme for 3 years at compound interest rate 7% p.a. How much amount will Merry get on maturity of the fixed deposit?
The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?
A 15 lt mixture contains water with 20% of alcohol.If 5 more lts of water added to the mixture what is the percentage of alcohol?
Two pipes can fill a tank in 12 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
A set of 17 different integers has median of 25 and a range of 25. What is greatest possible integer that could be in this set?
P works 25% more efficiently than Q and Q works 50% more efficiently than R. To complete a certain project, P alone takes 50 days less than Q alone. If, in this project P alone works for 60 days and then Q alone works for 140 days, in how many days can R alone complete the remaining work?
Ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of b - a ?
A goods train runs at the speed of 72 km/hr and crosses a 300 m long platform in 26 sec. What is the length of the goods train?