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big_math_dataset

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In how many ways, a committee of 5 members can be selected from 5 men and 5 ladies, consisting of 3 men and 2 ladies?
if a no. is divided by 342 then remainder is 47.then if that no. is divided by 18 then what will be the remainder?
P is three times as fast as Q and working together, they can complete a work in 19 days. In how many days can Q alone complete the work?
Pipe A can fill a tank in 5 hours. Due to a leak at the bottom, it takes 10 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A and B walk around a circular track. A and B walk at a speed of 4 rounds per hour and 4 rounds per hour respectively. If they start at 6 a.m. from the same point in opposite directions, how many times shall they cross each other before 7.00 a.m.?
James is stacking piles of bricks. He has 2 in the first row and then one more in each row after that. If there are 20 rows all together, how many bricks are in the pile?
A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many W ways can the test be completed if every question is unanswered?
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 20 years(the child was born during the interval). What is the present age of the child?
Amy's sells kale at x dollar per pound for the first 25 pounds and .8x for every subsequent pound. Lucia's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Amy's becomes an equal or better deal?
4 brothers and 3 sisters is to be arranged in a row for a photograph. In how many ways can they be seated if all the sisters sit together?
The ratio of present ages of X and Y is 4:5. Which of the following cant be the ratio of ages of X and Y, 20 years ago?
What is the greatest integer m for which the number 50!/14^m is an integer?
How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
The expression (11.98 x 11.98 + 11.98 x x + 0.02 x 0.02) will be a perfect square for x equal to:
2/5 of the fish in an aquarium are red and 1/4 of the fish are brown. 1/4 of the red fish and 2/5 of the brown fish are male. If the rest of the fish in the aquarium are female, what is the probability that a fish randomly picked from the aquarium is male?
If x is the product of three consecutive positive integers, which of the following must be true? I. x is an integer multiple of 5. II. x is an integer multiple of 3 III. x is an integer multiple of 6
In a partnership between A, B and C. A's capital is Rs.5000. If his share of a profit of Rs.800 is Rs.300 and C's share is Rs.130, what is B's capital?
If 10/b + 20/b + 30/b is an integer, which of the following must also be an integer?
The president of a country and 2 other dignitaries are scheduled to sit in a row on the 3 chairs represented above. If the president must sit in the center chair, how many different seating arrangements are possible for the 3 people?
There are 7 people and 7 chairs. In how many different ways people can occupy the chairs?
What is the next number in the sequence below? 1 4 9 16 25 36 __ ?
The compound ratio of 1:2, 2:5 and 3:10?
A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 a.m. while machine P is closed at 11 a.m. and the remaining two machines complete the work. Approximately at what time will the work be ...
Given the following equation 25% of 2475 + 20% of 2115 = x, Find the approximate value should come in place of the x.
A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle ?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Find the number of factors R of 180 that are in the form (4*k + 2), where k is a non-negative integer?
A bus leaves Santa Barbara at 8:00 a.m. traveling east at 80 miles per hour. At 3:00 p.m. a plane leaves Santa Barbara traveling east at 360 miles per hour. At what time will the plane overtake the bus?
Mary charges $8.50 per hour to clean a house. If she works 25 hours, how much does she earn in one week?
A train passes a station platform in 36 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
There are 8 books in a shelf that consist of 3 paperback books and 5 hardback books. If 3 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?
The difference of the areas of two squares drawn on two line segments of different lengths is 32 sq .cm. Find the length of the greater line segment if one is longer than the other by 2cm.
John makes $50 a week from his job. He earns a raise andnow makes $90 a week. What is the % increase?
You collect balls. Suppose you start out with 16. Mike gives you another 17 balls. How many balls do you have at the end?
In your classes you counted 120 hands. How many students were at the class?
In a certain candy store, 22% of the customers are caught sampling the candy and are charged a small fine, but 10% of the customers who sample the candy are not caught. What is the total percent of all customers who sample candy?
Find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm?
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?
A diet contains 400 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 50 grams of protein daily, how many grams of food X are in the mixture?
he number of sequences in which 5 players can throw a ball, so that the youngest player may not be the last is?
The ratio of numbers is 3:4 and their H.C.F is 4. Their L.C.M is?
In an election, candidate Smith won 52% of the total vote in Counties A and B. He won 61% of the vote in County A. If the ratio of people who voted in County A to County B is 3:1, what percent of the vote did candidate Smith win in County B ?
A square mirror has exactly half the area of the rectangular wall on which it is hung. If each side of the mirror is 34 inches and the width of the wall is 54 inches, what is the length of the wall, in inches?
A man can hit a target once in 4 shots. If he fires 4 shots in succession, what is the probability that he will hit his target?
In a certain zoo, the ratio of horses to penguins is 5 to 11. If there are 80 more penguins than horses at the zoo, how many horses are there?
A watch was sold at a loss of 10%. If it was sold for Rs.190 more, there would have been a gain of 4%. What is the cost price?
The C.P of 10 pens is equal to the S.P of 20 pens. Find his gain % or loss%?
A man has Rs. 160 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
Sarah is driving to the airport. After driving at 50 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. She then travels 100 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. How many miles did she d...
If v equals the sum of the odd integers from 5 to 505, inclusive, and q equals the sum of the odd integers from 3 to 303, inclusive, what is the value of v - q?
The compound ratio of 5:7, 3:2 and 4:5?
A computer wholesaler sells eight different computers and each is priced differently. If the wholesaler chooses three computers for display at a trade show, what is the probability (all things being equal) that the two most expensive computers will be among the three chosen for display?
In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?
Jerry and Michelle play a card game. In the beginning of the game they have an equal number of cards. Each player, at her turn, gives the other a third of her cards. Michelle plays first, giving Jerry a third of her cards. Jerry plays next, and Michelle follows. Then the game ends. Jerry ended up with 28 more cards tha...
Find the value o f 72519 x 9999 = m?
If a certain number is divisible by 12 and 10, it is NOT necessarily divisible by which of the following?
Each Machine of type X has 3 steel parts and 2 chrome parts. Each machine of type Y has 4 steel parts and 7 chrome parts. If a certain group of type X and type Y machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group
The average age of students in section A of 115 students is 15 years and the average age of students in section B of 120 students is 22 years. Find the average age of students in both sections taken together?
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?
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
A man desired to get into his work building, however he had forgotten his code. However, he did recollect five pieces of information -> Sum of 5th number and 3rd number is 14. -> Difference of 4th and 2nd number is 1. -> The 1st number is one less than twice the 2nd number. ->The 2nd number and the 3rd number equals 10...
In how many ways can the letters of the word, ‘KEYBOARD’ be arranged in such a way that the vowels always come together?
If a certain sample of data has a mean of 21.0 and the value 42.0 is more than 2.5 standard deviations from the mean, which of the following could be the standard deviation of the sample
There r 3 boys & 4 girls; Howmany ways they r arranged such that boys should be always together ?
Five machines, each working at the same constant rate, together can complete a certain job in 20 days. How many additional machines, each working at the same constant rate, will be needed to complete the job in 10 days?
Jeya decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. If Jeya's savings by the end of the year from these monthly savings were two times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
7 people average age is 30. youngest person age is 5. find average of the people when youngest was born.
Cars M and N are approaching each other on the same highway. Car M is moving at 45 mph northbound and Car N is moving at 55 mph southbound. At 2:00 pm, they are approaching each other and 190 miles apart. Eventually they pass each other. At what clock time are they moving away from each other and 35 miles apart?
4 years ago, Paula was 4 times as old as Karl. In 4 years, Paula will be twice as old as Karl. What is the sum of their ages now?
A train 800 m long passes a man, running at 15 km/hr in the same direction in which the train is going, in 180 sec. The speed of the train is?
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each pu...
At the end of year X, automobile installment credit accounted for 36% of all outstanding consumer installment credit. At that time automobile finance companies extended $35 billion of credit, or 1/3 of the automobile installment credit. How many billion dollars of consumer installment credit was outstanding at that tim...
George baked a total of 50 pizzas for 5 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Excluding stoppages, the average speed of a bus is 50 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour?
When x is divided by y, the quotient is z with remainder a. Which of the following is equal to a?
If x is divisible by 2, 14, and 11, which of the following must be the least multiple of x?
Six years ago, the ratio of ages of Kunal and Sagar was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Sagar's age at present?
We have boxes colored either red or blue. In each blue box there is a fixed number of blueberries. In each red box there is a fixed number of strawberries. If we dispose of one blue box for one additional red box, the total number of berries would increase by 20, and the difference between the total number of strawberr...
210 university students were asked in a survey if they preferred Windows or Mac brand computers. 60 Students claimed that they preferred Mac to Windows brand computers. One third as many of the students who preferred Mac to Windows, equally preferred both brands. 90 of the students had no preference. How many of the st...
A and B can do a piece of work in 4 2/3 days and 5 days respectively. They work together for 1 days and then A leaves. In how many days after that B will complete the work alone.
A person covers a distance in 9 minutes. If runs at a speed of 12 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 5 minutes.
Find k if 16 / k = 4.
Nine men went to a hotel. 8 of them spent 3 each over their meals and the ninth spent 6 more than the average expenditure of all the nine. The total money spent by all of them was
60 boys can complete a work in 24 days.how many men need to complete twice the work in 20 days
10,17,31,59,115, (...)
Mixture of milk & water has been kept in two separate bowl. Ratio of milk to water in one of the bowls is 5 : 1 and that in the other bowl 7 : 2. In what ratio the mixtures of these 2 bowl should be added together so that the quantity of milk in the new mixture may become 80%?
Ram professes to sell his goods at the cost price but he made use of 970 grms instead of a kg, what is the gain percent?
If x^2=2x+1, then x^3= ?
The end of a blade on an airplane propeller is 5 feet from the center. If the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? (1 mile = 5,280 feet)
Is 2 a prime number or a composite number?
Each of three different locks has a matching key. The keys are randomly reassigned to the locks. What is the probability that exactly two of the keys fit the locks to which they are reassigned?
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 68 km downstream.
A board 8ft. 9 inches long is divided into 3 equal parts . What is the length of each part?
nd the area of trapezium whose parallel sides are 20 cm and 16 cm long, and the distance between them is 15 cm?
The area of a side of a box is 120 sq cm. The area of the other side of the box is 72 sq cm. If the area of the upper surface of the box is 60 sq cm then find the volume of the box.
Mark drove for 1/2 of the trip, and Justin drove for 1/4 of the trip. Gina and Kaitlyn divided the rest of the driving evenly between them. If the entire trip was 128 miles, how many miles did Kaitlyn drive?
Jamboree and GMAT Club Contest Starts QUESTION #10: How many words (with or without meaning)F can be formed using all the letters of the word “SELFIE” so that the two E’s are not together?
An engagement team consists of a project manager, team leader, and four consultants. There are 2 candidates for the position of project manager, 3 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams ar...