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big_math_dataset

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A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
In covering distance,the speed of A & B are in the ratio of 3:4.A takes 30min more than B to reach the destion.The time taken by A to reach the destinstion is.
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 35 kmph. Of how many minutes does the train stop per hour?
5 blue marbles, 3 red marbles and 4 purple marbles are placed in a bag. If 4 marbles are drawn without replacement, what is the probability that the result will not be 2 blue and 2 purpl e marbles?
Find the simple interest on $1200 for 5 years at 20% per annum?
23, 29, 31, 37, 41, 43, 47, (...)
Sagar purchased 10 kg of rice at the rate of Rs. 15 per kg and 25 kg of rice at the rate Rs. 14 per kg. He mixed the two and sold the mixture. Approximately at what rate per kg should he sell the mixture to make 40 % profit in the transaction?
Three bells commence tolling together and toll at intervals of 3,6,9 seconds respectively. In 60 minutes, how many times do they toll together?
The product of two consecutive negative even integers is 24. Find the numbers.
In how many ways can a three-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is ?
If b < 2 and 2x - 4b = 0, which of the following must be true?
find value for x from given equation? x + 1 = -3
In how many ways can 10 people line up at a ticket window of a railway station?
The cost of 10 kg of apples is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is Rs.20.50. Find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 3 years?
In a certain country, 60 percent of the population likes basketball, and 35 percent of the population likes both basketball and golf. What percentage of the people who like basketball also like golf?
Sum of two number = 16 and product = 48, find the difference of the two number ??
The average age of a husband and a wife is 23 years when they were married five 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?
Excepting ‘seldom’ which means – rarely, infrequently and not often, is the antonym.
A pharmaceutical company received $4 million in royalties on the first $50 million in sales of and then $12 million in royalties on the next $170 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $50 million in sales to the next $170 million in sales?
Which of the following must be true? 1) Every prime number greater than 5 can be written as either as 9n+1 or 9n-1 2) Every prime number greater than 5 can be written as 4n+1 or 4n-1 3) Every number greater than 5 of the form 9n+1 or 9n-1 is a prime number.
A man saves Rs. 200 at the end of each year and lends the money at 5% compound interest. How much will it become at the end of 3 years?
Cost Price of 2 cats are $30,000. By selling 1 at a loss of 15% and other at a profit of 19%, he found that SP of both cats is the same. Find the CP of each?
In a renowned city, the average birth rate is 7 people every two seconds and the death rate is 1 people every two seconds. Estimate the size of the population net increase that occurs in one day.
34 : 43 :: 25 :?
If f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer, then f must be
4/x + 5x = 5(x-8)
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
A number is doubled and 15 is added. If resultant is trebled, it becomes 75. What is that number
Two trains of length 100 m and 160 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
In how many ways can 5 people be arranged in a circle?
What ratio must a shopkeeper mix Peas and Soybean of Rs.16 and Rs. 25/kg, As to obtain a mixture of Rs.21.50 ?
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
two friends A,B are running up hill and then to get down! length if road is 440 yards A on his return journey met B going up at 20 yards from top, A has finished the race .5 minute earlier than B, then how much time A had taken to complete the race.
Which of the following is not a leap year ?
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
Ann can have her bicycle repaired for $50, or she can trade it in, as is, and receive $22 credit toward the purchase of a new bicycle that sells for $107. If Ann trades in her current bicycle, the cost to her of purchasing the new bicycle is what percent greater than the cost of having her current bicycle repaired?
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
In a 1000 m race, A beats B by 50 m and B beats C by 10 m. In the same race, by how many meters does A beat C?
A man goes from A to B at a speed of 21 kmph and comes back to A at a speed of 21 kmph. Find his average speed for the entire journey?
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?
For four days of work, a clerk had daily earnings of $140, $130, $140, and $140 respectively. In which of the following intervals does the standard deviation of the daily earnings lie?
If a large pizza has a radius that is 20% larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
The ratio of the radius of two circles is 3: 4, and then the ratio of their areas is?
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
In a year N, the 259th day of the year is a Saturday. In the year N+l, the 222th day of the year is also a Saturday. What is the 119th day of the year N-l?
A train which has 410 m long, is running 45 kmph. In what time will it cross a person moving at 9 kmph in same direction ?
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?
For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score Q for the exam?
Excluding stoppages, the speed of a bus is 75 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
In traveling from a dormitory to a certain city, a student went 1/4 of the way by foot, 1/2 of the way by bus, and the remaining 10 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?
Chris age after 9years will be 5 times his age 5years back. what is the present age of Chris?
38, 56, 22,64, 31,47, 13, 82 Which of the following numbers is greater than three-fourth of the numbers but less than one-fourth of the numbers in the list above?
Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 40% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets?
What is the next number in the given series 4,18,100,294,....?
A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 200 that is both a prime and a palindrome. What is the sum of the digits of p?
The average of 7 consecutive numbers is 20. The largest of these numbers is :
The smallest number when increased by " 1 " is exactly divisible by 12, 18, 24, 32 and 40 is:
What is the next number of the following sequence 2,5,10,50,500,?
Let p be a prime number greater than 2 and let N = 14p. How many even numbers divide N?
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
What is the value of X, if 1/(log442/441 X) + 1/(log443/442 X) + 1/(log444/443 X) +…+ 1/(log899/898 X) +1/(log900/899 X) = 2?
A person is traveling at 75 km/hr and reached his destiny in 4hr then find the distance?
Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 12 blocks. How many different 12-block routes may they take to travel the shortest possible distance to their aunt’s house?
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs. 2288, then what was the price of the article initially?
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?
If c is 20% of a and 10% of b, what percent of a is b?
A babysitter is paid a regular rate of $16 per hour for any number of hours that does not exceed 30 hours per week. For any overtime hours worked in excess of 30 hours per week, the babysitter is paid a rate that is 75% higher than his regular rate. If last week the babysitter earned $760, how many total hours did she work that week?
In a race of 4Kms A beats B by 100m or 25 seconds, then time taken by A is
A , B , and C started a partnership business by investing $27,000 , $72,000 , and $81,000 respectively. At the end of the year , the profit was distributed among them. If C's share of profit is $18,000, what is the total profit?
An article is bought for Rs.605 and sold for Rs.900, find the gain percent?
A box has exactly 100 balls, and each ball is either red, blue, or white. If the box has 10 more blue balls than white balls, and thrice as many red balls as blue balls, how many white balls does The box has ?
which of the following is correct formula for divisor rule ?
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 7420, what is the length of the plot in metres?
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 20% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 10% more than the number there from 10 a.m. to 11 a.m. If 242 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
An inspector rejects 0.0008% of the meters as defective. How many will be examine to project ?
If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in?
The greatest common factor of two positive integers is L. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?
The slant height of a cone is 10 cm and radius of the base is 5 cm, find the curved surface of the cone.
if the ratio of two number is 2:3 and LCM of the number is 120 then what is the number.
A car travels at a speed of 65 miles per hour. How far will it travel in 5 hours?
Of the 75 house in a development, 50 have a two-car garage, 40 have an in-the-ground swimming pool, and 35 have both a two-car garage and an in-the-ground swimming pool. How many houses in the development have neither a two-car garage nor an in-the-ground swimming pool?
The average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results?
The price of a book is increased from $300 to $450. What is the % of increase in its price?
From a salary of an officer, 10% is deducted as house rent, 15% of the rest he spend on children's education and 10% of the balance he spends on clothes. Then, he is left with Rs. 4131. Find his total salary?
What is the largest integral value of 'k' for which the quadratic equation x2 - 6x + k = 0 will have two real and distinct roots?
The factorial expression 12!/6! is not divisible by which of the following integers?
An amount of Rs.1560 was divided among A, B and C, in the ratio 1/2 : 1/3 : 1/4. Find the share of C?
Find the odd man out 125, 106, 88, 76, 65, 58, 53
How many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99?
If a and b are both prime numbers greater than 12, which of the following CANNOT be true? I. ab is an even number. II. The difference between a and b equals 117. III. The sum of a and b is even.
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
The tax on a commodity is diminished by 40% but its consumption is increased by 25%. Find the decrease percent in the revenue derived from it?
The price of commodity P increases by 40 paise every year, while the price of commodity Q increases by 15 paise every year. If in 2001, the price of commodity P was Rs. 4.20 and that of Q was Rs. 6.30, in which year commodity P will cost 40 paise more than the commodity Q ?
If x/2 = y/5 = z/6, then (x + y + z)/x is equal to :
In an examination, the percentage of students qualified to the number of students appeared from school A is 70%. In school B, the number of students appeared is 20% more than the students appeared from school A and the number of students qualified from school B is 50% more than the students qualified from school A. What is the percentage of students qualified to the number of students appeared from school B?
Two goods trains each 75 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?