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big_math_dataset

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A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
What is the ratio of 5/7 to the product 3*(7/3)?
Look at this series: 1000, 200, 40, ... What number should come next?
A person walking at 10 Kmph reaches his office 10 minutes late. If he walks at 15 Kmph, he reaches there 10 minutes earlier. How far is the office from his house?
How many zeroes are there at the end of the number N, if N = 100! + 200! ?
Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is:
The volume of a cube is 1728 cc. Find its surface.
A is twice as good workman as B, and together they complete a work in 3 days. In how many days can the work be complete by B alone?
The sum of three integers A, B and C is 240. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
Solve (x-a)*(x-b)*(x-c)*...........(x-z)=?
The water from one outlet, flowing at a constant rate, can fill a swimming pool in 5 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 3 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?
In a game of 100 points, A can give B 10 points and C 15 points. then how many points can B give C in a game of 70?
If it is true that x > -3 and x < 7, which of the following must be true?
A certain football coach allows his quarterback to call three plays in a row. If the quarterback can choose from 3 passing plays, 4 running plays, and 2 trick plays, how many different R arrangements of plays can be run, if the same play can’t be run more than once?
The area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm. What is the perimeter of the square?
A present value of a machine is $900. Its value depletion rate is 10% per annum then find the machine value after 2 years?
How many 7 digit number are there having the digit 3 three times & the digit 0 four times ?
If 60% of a number is equal to one half of another number, what is the ratio of first number to the second number?
How much is 80% of 40 is greater than 4/5 of 30?
A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes Bil can make using this recipe?
If n is an even integer, which of the following must also be an even integer?
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 6 years hence?
Nitin ranks 23th in a class of 60 students. What is rank from the last ?
Speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. A man rows to place at a distance of 210 km and comes back to the starting point. The total time taken by him is:
If ( log 5 5) (log 4 9) (log 3 2) is equal to
John has taken four (4) tests that have an average of 84. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
When positive integer V is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
A right triangle ABC has to be constructed in the xy-plane so that the right angle is at A and AB is parallel to x axis. The coordinates of A, B and C are to satisfy the inequalities -1 ≤ x ≤ 7 and 1 ≤ y ≤ 7. The numbers of different triangles that can be constructed with these properties are?
At what rate percent on simple interest will Rs.1500 amount to Rs.2000 in 5 years?
How many numbers from 2 to 7 are exactly divisible by 2?
A and B started a business investing Rs. 90,000 and Rs 25,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
How many integers between 500 and 1000 are there such that their unit digit is even?
A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?
What is the probability of getting a sum 9 from two throw of a dice?
The length of a rectangular garden is three times its width. If the area of the rectangular garden is 507 square meters, then what is the width of the rectangular garden?
The goalkeeper of a Hockey team is 31 years old and the captain is 4 years older and the team size is 11. 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?
The difference between compound interest and simple interest on a sum for 3 years at 10% p.a. is Rs.124 Find the sum.
Points X, Y, and Z lie, in that order, on a straight railroad track. The distance from point X to point Y is twice the distance from point Y to point Z. A train traveled from point X to point Z without stopping. The train's average speed when traveling from point X to point Y was 100 miles per hour and the train's aver...
The mass of 1 cubic meter of a substance is 700 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
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 9 candidates for the 4 consultant slots. If 2 out of 9 consultants refuse to be on the same team, how many different teams ar...
Baker Raj is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
If the number 5 * 2 is divisible by 6, then * = ?
Three partners A, B, C in a business invested money such that 3(A’s capital) = 6(B’s capital) = 9(C’s capital) then, The ratio of their capitals is
What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12 p.c.p.a.?
if log 7 = 0.845098, the number of digits in 7128 is
1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
A box contain Red, Blue and Green colored balls. The number of Red balls is 80 and the number of Blue balls is 60. The number of Green balls subtracted from the number of Red balls is the same as the number of Green balls added with the number of Blue balls. Then the number of Green balls is?
On the x y plane, there are 8 points of which 4 are collinear. How many straight lines can be formed by joining any 2 points from the 8 points ?
three men invested sum. and their ratio is 5:7:6. profit is 9000.then b's share
The average runs of ten batsmen is 25. If three players whose marks are 3,8 and 4 are removed , then find the approximate average runs of the remaining players.
Vijay bought 160 shirts at the rate of Rs. 225 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?
James and David work at a grocery shop with 6 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen?
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.
You collect pens. Suppose you start out with 7. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end?
A drum contains 4 red balls, 3 blue balls and 2 white balls. Three balls are removed (no replacement) what is the probability that there will be one of each?
Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
Sivagami is 2 years elder than Meena. After 6 years the total of their ages will be 7 times of their current age. Then age of Sivagami is :
The difference of 2 digit number & the number obtained by interchanging the digits is 36. What is the sum and the number if the ratio between the digits of the number is 1:2 ?
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 25%?
In a bucket there are 3 green balls and 2 yellow balls. What is the probability of drawing at least one green ball when drawing two consecutive balls randomly?
The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
A cicketer bas a certain average for 10 innings, In the eleventh inning, he scorod 108 runs, thereby increasing his average by 6 runs. His new average is?
The average of five numbers id 27. If one number is excluded,the average becomes 25. The excluded number is
Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
Look at this series: 2, 1, (1/2), (1/4), ... What number should come next?
If x/(11p) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
The sum of two numbers is 65. Their difference is 5. The bigger number is
40 is subtracted from 60% of a number, the result is 50. Find the number?
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
A 600 m long train crosses a tree in 60sec, how much time will It take to pass a platform 450 m long?
√4 percent of 4√4 =
Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
The length of a rectangle is 2 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
Nicky and Cristina are running a 500 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ?
If (a – b) is 11 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is:
If a1 = 1 and an+1= 2an + 5, n = 1, 2 .. , then a40 is equal to ?
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is:
he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4. What is the capacity of the tank?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
A bicyclist's wheel has a circumference of 8 meters. if the bicyclist covers 160 meters in 5 hours at a constant speed, how many rotations does the wheel make per hour at that speed?
What is the tens digit of 36^30?
. If A is 35% greater than B then how much percentage is B smaller than A?
Which of the following could be the sides of an obtuse angled triangle? I. 51, 29, 100 II. 10,110, 60 III. 40 ,20 70
k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
5 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the...
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.430 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund ?
A rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
In Township K each property is taxed at 10 percent of its assessed value. If the assessed value of a property in Township K is increased from $20,000 to $28,000, by how much will the property tax increase?
a natural numbr has exactly 10 divisors including 1 and itself.how many distint prime factors this natural numbr will have?
If c is a positive integer, which of the following could NOT be the square of c?
In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 6720 votes were polled, then how many valid votes did B get?
Of 70 players on a football team, 40 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total?
It takes Joey the postman 1 hours to run a 1 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 5 mile/hour, what is the speed with which Joey returns?
what is the angle between the hands of a clock when time is 10:30?
A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?