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big_math_dataset

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a train length 100 m going with speed 10m/sec another train 150m long going with speed 15m/sec.the distance between two train is 50m.then how much time second train will take to cross the first train?
A toothed wheel of diameter 50cm is attached to a smaller wheel of diameter 30cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
The cash difference between the selling prices of an book at a profit of 8% and 16% is $3. The ratio of the two selling prices is:
A table is bought for Rs.900/- and sold at Rs.810/- find the loss percentage
How many multiples of 3 are there between 5 and 59, 5 and 59 inclusive ?
Which of these lines in the xy-plane does not contain any point with two negative coordinates?
One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
3 Years ago, the average age of a family of 5 members was 19 years. A baby having been born, the average age of the family is the same today. The present age of the baby is
By travelling at 30 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
A grocery store has a surplus of cakes, so they price them at 10% off the wholesale price of $8.50. An employee uses their employee discount to get a further 10% discount off a cake. How much does that employee pay? Round your answer to the nearest hundredth decimal place.
The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally)
The difference between two numbers is 1365. When the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. The smaller number is
Which of the following CANNOT be a value of 4/(x–4)?
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is
One night a certain hotel rented 2/3 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Speed of a man with current measures 15 km/hr. Speed of current is 2.5 km/hr. What is the speed of man against the current?
2+3=8, 3+7=27, 4+5=32, 5+8=60, 6+7=72, 7+8=?? Solve it?
The length of a rectangular hall is 5 m more than its breadth. The area of the hall is 7502. The length of the hall is :
The speed of a boat in upstream is 60 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
A is twice as good a workman as B and they took 5 days together to do the work B alone can do it in?
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit.
A can complete the job in 6 hours and B can complete the same job in 3 hours. A works for 1 hour and then B joins and both complete the job. What fraction of the job did B complete
A pump can fill a tank with water in 3 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
The first term in a sequence is 1 and the second term is 9. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 28th term in the sequence?
At Ram's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
If p is the sum of x consecutive positive integers. q is the sum of y consecutive positive integers. For which of the following values of x and y is it impossible that p = q?
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is
Two numbers are such that the ratio between them is 4 : 7. If each is increased by 4, the ratio becomes 3 : 5. The larger number is
If the charge of staying in a student youth hostel $18.00/day for the first week, and $11.00/day for each additional week, How much does it cost to stay for 23 days?
Which fraction will come next, 1/2,3/4,5/8,7/16,?
Cindy is thinking of a number which is 4 less than the square of a positive integer. The number has the property that it has two 2-digit prime factors. What is the smallest possible value of Cindy's number?
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true? I. x + y + z is even II. (x+y)/z is an integer III. xz is even
Find the area of circle whose radius is 28m?
The difference between the ages of two persons is 30 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of the younger person is?
The sum of ages of 5 children born 3 years different each is 75 yrs. What is the age of the Elder child?
One day a car rental agency rented 2/3 of its cars, including 3/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
When n is divided by 9, the remainder is 2. When n is divided by 13, the remainder is 8. If 1 < n < 200, what is the greatest possible value of n?
Two cars cover the same distance at the speed of 50 and 65 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?
Water is poured into a cylindrical well at the rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the diameter of the tank in meters?
A shopping mall charges 70 cents for the first hour of parking and $5 for each additional hour until the customer reaches 4 hours, after that the parking fee is $2 per hour. If a certain customer parked his in the mall for 7 hours and 30 minutes, how much is he going to pay?
Tickets numbered from 1 to 20 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bearsa number which is a multiple of 3?
A bakery currently has 6 pies and 5 cakes in its inventory. The bakery’s owner has decided to display 5 of these items in the bakery’s front window. If the items are randomly selected, what is the probability that the display will have exactly 3 pies?
A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
What is the value of 3x^2 − 1.8x + 0.3 for x = 0.9?
21, 9, 21, 11, 21, 13, 21, ?
At Tom's party, there were five times as many females as males. There were three times as many adults as children. Which of the following could NOT be the number of people at the party?
The first, second and third terms of the proportion are 56, 16, 49. Find the fourth term.
If each year the population of the country grows by 50%, how many years will elapse before the population of the country doubles?
A two-digit number exceeds the sum of the digits of that number by 18. if the digit at the unit’s place is double that digits in the ten’s place, what is the number ?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec. What is the length of the platform?
The average of 10 result is 42. Average of the first 7 of them is 30 and that of the last 7 is 80. Find the 8th result?
Mother,her daughter and her grand child weighs 120 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter?
Plane leaves from Chelsea every 35 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m. At what time air hostess convey this information to Frank Lampard?
Rohit spent 30 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 Rohit have left over?
A fruit seller had some oranges. He sells 40% oranges and still has 480 oranges. How many oranges he had originally?
If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
A sum of Rs. 350 made up of 110 coins, which are of either Re.1 or Re.5 denomination. How many coins are of Re.1?
A car takes 4.5 hours to travel from A to B, which is 360 miles apart. What is the average speed of the car?
The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 8% p.a. was Rs.2828.80. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned?
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
How many numbers from 10 to 10000 are exactly divisible by 9?
IF x is an integer greater than 6, then all the following must be divisible by 3 EXCEPT
If two numbers are in the ratio 7:2. If 5 is subtracted to both of the numbers then the ratio becomes 2:3then find the largest number?
Panya prepared 4 different letters to 4 different addresses. For each letter, she prepared one envelope with its correct address. If the 4 letters are to be put into the four envelopes at random, what is the probability that only one letter will be put into the envelope with its correct address?
saran professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
47% of the students in a class of 44 students has glasses or contacts. How many students in the class have either glasses or contacts?
There are 324,437 chicks in a farm. Jack wants to distribute these evenly across 9 different retail shops, how many chicks would remain with him.
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 28 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
Ella and Frank race around a running track. Ella runs at a constant rate of one lap every 3 minutes and Frank runs at a constant rate of one lap every 5 minutes. If they both start at the same time, how many minutes will it take for Ella to get exactly one lap ahead of Frank?
A person spent Rs. 6,040 from his salary on food and 5,000 on house rent. After that he was left with 80% of his monthly salary. What is his monthly salary ?
What is the smallest no. which must be added to 25268 so as to obtain a sum which is divisible by 11?
15 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
In measuring the sides of a rectangle, one side is taken 10% in excess and other 5% in deficit. Find the error percentage in the area calculated from these measurements.
10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3240, how much was it in the beginning?
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 460 kms in 4 hours, then the speed of the first train is:
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. If they cross each other in 23 seconds, what is the ratio of their speeds?
On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3?
In how many ways can 5 white and 2 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 85% of his regular speed, then
A, B and C have Rs.400 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Three positive integers a, b, and c are such that their average is 28 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
A store reduced the price of all items in the store by 8% on the first day and by another 10% on the second day. The price of items on the second day was what percent of the price before the first reduction took place?
Noelle walks from point A to point B at an average speed of 5 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 8 kilometers per hour?
What will come in place of the x in the following Number series? 5,28,57,88,125
JAMES school has 2000 GIRLS and 5000 BOYS. What is the percentage increase from GIRLS to total attendance and BOYS to total attendance?
A train passes a platform in 22 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is
A box contains twelve bulbs out of which seven are defective. If seven bulbs are chosen at random, find the probability that all the four bulbs are defective?
The remainder obtained when a prime number greater than 3 is divided by 3 is
The number of livestock in a farm at the beginning of year 2015 was 100,000. During the year, the number increased by p%. During the next year 2016, there was a famine and the number decreased by q%. A census at the end of year 2016 revealed that the number of livestock in the farm was 100,000. Which of the following expressions is correct?
The average of 3 consecutive odd numbers is 30. What is the difference between the highest and lowest numbers?
x and y are positive integers of Q. If 1/x + 1/y < 2, which of the following must be true?
Which one of the following is a prime number?
If p^2 – 13p + 40 = a, and p is a positive integer between 1 and 10, inclusive, what is the probability that a < 0?
What is the remainder when 47*50 is divided by 8?