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big_math_dataset

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Susan, Tim, Matt and Kim need to be seated in 4 identical chairs in straight line so that Susan is seated always left to Tim. How many such arrangements are possible ?
H.C.F of 136, 144 and a third number is 8 and their L.C.M is 2^4 * 3^2 * 17 * 7. The third number is:
Five balls of different colors are to be placed in three different boxes such that any box contains at least 1 ball . What is the maximum number of different ways in which this can be done?
In a school of 800 students, 44% wear blue shirts, 28% wear red shirts, 10% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
If 10 gallons of grape juice are added to 30 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly copied. The first is 17 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.
In a class there are 20 boys and 25 girls. In how many ways can a boy and a girl be selected?
A man gains 40% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
Replace The Asterisk Mark Below With Correct Number ? 2 {38} 3 4 {1524} 5 6 {3548} 7 8 {****} 9
On a certain farm the ratio of horses to cows is 6:1. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 3:1. After the transaction, how many more horses than cows would the farm own?
The forth proportional to 12,8,15 is?
A raffle is being held at a party with 25 guests. Each guest has a numbered ticket (1 through 25). Three numbers will be randomly chosen and prizes given out. Paul and Jane have numbers 22 and 23. What is the probability both will win a prize?
A train 200 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 10 km/hr in the direction opposite to that in which the train is going?
If w is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of w ?
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. Of how many minutes does the train stop per hour?
The overall age of X and Y is 10 year greater than the overall age of Y and Z. Z is how many decades younger that X?
A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 105 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 5 employees to 3 different offices?
A 120 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
The CITY club has exactly 5 new members at the end of its first week. Every subsequent week, each of the previous week's new members (and only these members) brings exactly P new members into the club. If y is the number of new members brought into the club during the twelfth week, which of the following could be y?
If the average marks of three batches of 55, 60 and 65 students respectively is 50, 46, 60, then the average marks of all the students is
Jeff received a 10% raise each month for three consecutive months. What was his starting salary if after the three raises his salary is $1331?
Ajay and Balu together can do a piece of work in 12 days. Balu and Charan together can do the same work in 16 days. After Ajay has been working at it for 5 days and Balu for 7 days, Charan finishes it in 13 days. In how many days will Charan alone be able to do the work?
If 10 spiders make 5 webs in 5 days, then how many days are needed for 1 spider to make 1 web?
The cost of cultivating a square field at the rate of Rs.135 per hectare is Rs.1215. The cost of putting a fence around it at the rate of 75 paise per meter would be :
A department of ten people - four men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
After decreasing 24% in the price of an article costs Rs.912. Find the actual cost of an article?
On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:
Two trains are moving at 75 kmph and 70 kmph in opposite directions. Their lengths are 150 m and 100 m respectively. The time they will take to pass each other completely is?
The distance traveled by earth in one year approximately 6590000000000 miles.The distance traveled by the earth by in 100 years?
If a woman lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
A train running at the speed of 60 km/hr crosses a pole in 7 sec. What is the length of the train?
The probability that a visitor at the mall buys a pack of candy is 30%. If three visitors come to the mall today, what is the probability W that exactly two visitors will buy a pack of candy?
The ratio of three numbers is 3:4:7 and their product is 18144. The numbers are
8 hens weigh equal to as many duck as are equal to 7 cats. All of them weigh 264kg only. Hen's weighs are?
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 210-gram mixture, 40 grams of pure milk is added, what would be the percentage of milk in the resulting mixture?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
The length of the bridge, which a train 150 metres long and travelling at 54 km/hr can cross in 30 seconds, is?
During a certain week, a seal ate 65% 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 the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum S of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
What is the sum of all the prime numbers greater than 30 but less than 50?
Find the invalid no.from the following series 18, 24, 29, 35, 40, 42
A truck covers a distance of 296 km at a certain speed in 8 hours. How much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 6.5 km more than that travelled by the truck ?
How many zeroes are there at the end of the number N, if N = 90! + 180! ?
Two trains of equal lengths take 5 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?
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 540 tiles in the floor, how many tiles does the leftmost row contain?
The area of sector of a circle whose radius is 12 metro and whose angle at the center is 36° is?
KIM CAN DO A WORK IN 3 DAYS WHILE DAVID CAN DO THE SAME WORK IN 2 DAYS. BOTH OF THEM FINISH THE WORK TOGETHER AND GET RS. 150. WHAT IS THE SHARE OF KIM?
. In digging a pond 34 m * 16 m *9 m the volumes of the soil extracted will be?
Find the average of all even numbers upto 75.
The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?
It is given that 2^32 + 1 is exactly divisible by a certain number. Which one of the following is also divisible by the same number X?
An uneducated retailer marks all its goods at 50% above the cost price and thinking that he will still make 25% profit,offers a discount of 25% on the marked price.what is the actual profit on the sales?
Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 40?
A, B and C start swimming in a pool simultaneously from the same end. To complete 10 laps, A takes 10 minutes, B takes 6 minutes and C takes 6 minutes. What is the ratio of speeds A:B:C?
Niharika covers a distance in 30 min , if she drives at a speed of 60 km/h on an average. Find the speed at which she must drive at to reduce the time of the journey by 30%.
In an election contested by two parties, Party D secured 12% of the total votes more than Party R. If party R got 132,000 votes, by how many votes did it lose the election?
At a reception, one-third of the guests departed at a certain time. Later two-fifths of the guests departed. Even later two-thirds of the remaining guests departed. If six people were left, how many were originally present at the party?
A dishonest dealer professes to sell goods at the cost price but uses a false weight and gains 25%. Find his false weight age?
Because he’s taxed by his home planet, Mork pays a tax rate of 10% on his income, while Mindy pays a rate of 20% on hers. If Mindy earned 3 times as much as Mork did, what was their combined tax rate?
Pipe A can fill a tank in 8 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
How many words can be formed by using all letters of the word 'AROUND' ?
The original price of a shirt was $20. It was decreased to $15 . What is the percent decrease of the price of this shirt.
A tank of 100 litres is filled with kerosene. Ram replaces 10% of kerosene with water and repeats this procedure 4 times. What is the amount of kerosene left in the tank?
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
If a:b:c = 3:4:7, then the ratio (a+b+c):c is equal to
If p and y are both odd prime numbers and p < y, how many distinct positive integer factors does 2py have?
A driver goes on a trip of 50 kilometers, the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. What is the average speed of the entire trip in kilometers per hour?
The number 110 can be written as sum of the squares of 3 different positive integers. What is the sum of these 3 different integers?
A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle is poured into a larger bottle, four times as big as original. The remaining space in the larger bottle is then filled with water. If there was 8 ml of oil in the original bottle, how much of water is in the final mixture?
9548 + 7314 = 6362 + (?)
There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 190 m long?
A Man can row upstream at 75kmph and downward stream at 47 kmph. Find Man's rate of the current
If it is assumed that 80 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
A box contain 7 one rupee coins and 5 ten rupee coins.A coin is drawn at random.What is the probability that the coin drawn is ten rupee coin?
By selling a book for 270, 20% profit was earned. What is the cost price of the book?
The sum of ages of 5 children born 3 years different each is 50 years. What is the age of the Elder child?
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 3 minutes. How much time will be take to cover a distance of 3 kilometres?
When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father when he died?
At a company, the average wage of male employees is $4 per hour, and the average wage of female employees is $8 per hour. If the average wage of all employees is $7 per hour, what is the ratio of the number of male employees to the number of female employees?
AMS employs 6 professors on their staff. Their respective probability of remaining in employment for 10 years are , 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. The probability that after 10 years 6 of them still work in AMS is ?
Calculate how many ways a woman who has 4 bags and 6 books can put the books in her bag?
The product of two fractions is 3/4 and their quotient is 6/18. If the denominator of one is 1/3 of the other's numerator, then find the pair of fractions?
A train 220 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 20 seconds. The speed of the train is:
If 20% of x is 15 less than 15% of 1500, then x is?
A contractor is engaged for 30days on the condition that he receives Rs.25 for each dayhe works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many dayswas he absent?
The units digit of (35)^(87) + (93)^(51) is:
An e-commerce website marks his wares 30% more than the real price and allows 10% discount. Their profit is:
Albert borrowed a total of $ 5700 from Brian and Charlie. He paid simple interest at the rate of 7 % Per yr and 9 % per yr respectively.At the end of three years he paid $ 1494 as total interest. What is the interest paid to Brian at the end of three years?
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more?
Workers at a campaign office have 1000 fliers to send out. If they send out 1/5 of them in the morning and 1/4 of the remaining ones out during the afternoon, how many are left for the next day?
Jamboree and GMAT Club Contest Starts QUESTION #15: How many words (with or without meaning) can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
2, 6, 12, 20, 30, 42, 56, (...)
If the average (arithmetic mean) of a and b is 20, and c – a = 30, what is the average of b and c?
How many members are there between 1 to 100 which are divisible by 9 and the sum of two digits is 9?
Solution A is 20% salt and Solution B is 70% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution?
The sum of the present ages of two persons A and B is 60. If the age of A is twice that of B, find the sum of their ages 5 years hence?