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big_math_dataset

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How many combinations of three letters taken from letters (a, b, b, c, c, d) are possible?
If x#y is defined to equal x^3/y for all x and y, then (-1#2)#3 =
A part-time employee’s hourly wage was increased by 25%. She decided to decrease the number of hours worked per week so that her total income did not change. By approximately what percent should the number of hours worked be decreased?
Find the median of the data 25, 37, 47, 18, 19, 26, 36.
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother three years younger to her was born. What is the difference between the ages of her parents?
A batch of cookies was divided among three tins: 2/3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction E of the cookies that were placed in the other tins were placed in the green tin?
If the cost price is 96% of the selling price, then what is the profit percent?
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the car is?
A train running at the speed of 48 km/hr crosses a pole in 9 seconds. Find the length of the train?
John distributes his pencil among his 4friends Rose, Mary, Ranjan, and Rohit in the ratio 1/2 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have?
If the tens digit of positive integer x is 3 and the tens digit of positive integer y is 3, how many possible values of the tens digit of 2(x+y) can there be?
The editor of an anthology of short stories will select authors from a pool of 10 authors, of which 4 are female. If the anthology is to include the work of 6 authors of which at least 2 are female, in how many ways can the editor select the authors?
Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.15000 at the end of the year, B's share is
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
82 a7 + 6b ____ 190 If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b ?
Two persons Raj and Ramu started working for a company in similar jobs on January 1, 1991. Raj's initial monthly salary was Rs 400, which increases by Rs 40 after every year. Ramu's initial monthly salary was Rs 500 which increases by Rs 20 after every six months. If these arrangements continue till December 31, 200. F...
A completes a work in 15 days and B complete the same work in 30 days. If both of them work together, then the number of days required to complete the work will be
Which of the following numbers is between 1⁄2 and 1⁄4?
if 2 pipes take an hour to fill a tank, then how long should 8 pipes take to fill the same tank?
Find √? /19 = 4 ?
Mr. Thomas invested an amount of 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be 3508, what was the amount invested in Scheme B?
How many numbers between 200 and 400 begin or end with 2?
A square and an equilateral triangle have the same perimeter. What is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle?
If 600y is a perfect square (the square of an integer) and y is a positive integer, then which of the following must also be an integer? I y/6 II y/42 III y/30
If m times the mth series of an A.P. is equal to n times its nth series, what is the (m+n)th term of the A.P. ?
A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 24 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
Kim finds a 5-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and removes one piece of every distinct length. What fraction of the original branch remains?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
If log a/b + log b/a = log (a + b), then:
At Tea factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
The mean of 50 observations was 36. It was found later that an observation 58 was wrongly taken as 43. The corrected new mean is?
In a class, the average age of 40 boys is 18 years and the average of 30 girls is 15 years. what is the average age of the whole class?
In a theater, the first row has 14 seats and each row has 2 more seats than previous row. If the last row has 56 seats, what is the total number of seats in the theater?
If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 5 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
Which of the following lines is perpendicular to y = − 2x + 3 and has the same y-intercept as y = 2x − 4?
The average of first ten prime numbers which are odd is?
For positive integers s and t, which of the following can be written as t^2?
If x is a number such that x^2 + 3x - 10 = 0 and x^2 + x - 20 = 0, then x =
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6.30 a.m. and travels at 50 kmph towards Baroda situated 100 km away. At 7.00 a.m. Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7.30 a.m. Mr Shah, the traffic controller at Baroda realizes that both the trains are runn...
A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 15% salt solution. What is the value of x?
There are 17 students in a certain class. On the day the test was given, Taqeesha was absent. The other 16 students took the test, and their average was 77. The next day, Taqeesha took the test, and with her grade included, the new average is 78. What is Taqeesha’s grade on the test?
A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 78 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
Manoj borrowed Rs.3450 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then wha...
On a certain date, Pat invested $8,000 at x percent annual interest, compounded annually. If the total value of the investment plus interest at the end of 10 years will be $32,000, in how many years total will the total value of the investment plus interest increase to $64,000?
39x7 - 45x7 - 134x7 - 39x7 + 134x7 + 44x7 =
If a function f is defined by f(x)= -1/x for all non zero numbers x. If f(a) = -1/3 and f(ab) = 1/6 then b= ?
270 students appeared for an examination, of which 252 passed. What is the pass percentage?
Nicky and Cristina are running a 100 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?
Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled. Now there are 14 men in the room. How many W women are currently in the room?
The average weight of a 30 students increases by 2 kg when the weight of their teacher was added. If average weight of the group after including the weight of the teacher is 32 kg, what is the weight of their football coach?
The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 320, what is the difference between the number of condos available at Sunset Beach and the number of condos availabl...
Truck A is 25 miles ahead of Truck B, which is traveling the same direction along the same route as Truck A. If Truck A is traveling at an average speed of 49 miles per hour and Truck B is traveling at an average speed of 54 miles per hour, how long will it take Truck B to overtake and drive 15 miles ahead of Truck A?
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
A 260-metre-long train crosses a 120-metre-long wall in 19 seconds. What is the speed of the train?
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.140. How much was lent at 5%?
If x^2=x-2, then x^3=?
If 8 people can eat a gallon of ice cream in 10 days, how long would it take 5 people to eat a gallon of ice cream?
Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is
If -2<= x <= 2 and 3 <= y <= 4, which of the following represents the range of all possible values of y-x?
A chair is bought for Rs.600/- and sold at a loss of 50% find its selling price
16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
Three table runners have a combined area of 204 square inches. By overlapping the runners to cover 80% of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. What is the area of the table that is covered with three layers of runner?
What is the sum of all the prime numbers greater than 50 but less than 70?
How many positive three-digit integers are divisible by both 5 and 7?
If x = 6^36 and x^x = 6^k, what is k?
From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is?
Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 36?Which of the following Equation is NOT equivalent to 25x^2 = y^2 - 4?
If m is an integer such that (-2)^2m=2^(6-m) then m=?
The least number of complete years in which a sum of money put out at 20% C.I. will be more than doubled is?
What Is The Smallest Positive Integer That Leaves A Remainder Of 1 When Divided By 2, Remainder Of 2 When Divided By 3, A Remainder Of 3 When Divided By 4, And A Remainder Of 9 When Divided By 10?
Of the four numbers, whose average is 100, the first is one-fourth of the sum of the last three. The first number is ?
If the mobile is bought by rs 490 and sold by rs 465.50.find loss%.
Suppose 6 monkeys take 6 minutes to eat 6 bananas. How many monkeys would it take to eat 18 bananas in 18 minutes?
A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $130,000 and variables costs averaging $5 per item. If the manufacturer’s selling price per item is $15, how many items the manufacturer produce and sell to earn an annual profit of $150,000?
The length of a rectangular plot is thrice its width. If the area of the rectangular plot is 768 sq meters, then what is the width (in meters) of the rectangular plot?
A bag with 100 kgs potatoes have 99% water. It is kept in the open under the sunlight. After sometime, little amount of water got evaporated and reduced to 98%. What is the weight now ?
A company can manufacture 1000 phones in a day. One-fifth of the phones produced are defective and one-quarter of all phones produced are rejected by quality control technician. If one-tenth of the nondefective phones are rejected by mistake, and if all the phones not rejected are sold, then what percent of the phones ...
A train leaves Delhi at 9 a.m. at a speed of 30 kmph. Another train leaves at 2 p.m. at a speed of 40 kmph on the same day and in the same direction. How far from Delhi, will the two trains meet?
The unit digit in the product (784 x 618 x 917 x 463) is:
A man can row his boat with the stream at 6 km/h and against the stream in 4 km/h. The man's rate is?
x is a positive integer of T less than 500. When x is divided by 7, the remainder is 1; when x is divided by 3, the remainder is 2. How many x are there?
Arya starts cycling along the boundaries of the squares. She starts from a point A and after 90 minutes she reached to point C diagonally opposite to A. If she is travelling with 28km/hr, then find the area of square field.
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/51 ?
A bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. If the total time taken is 5.2 hours, then the distance covered at 40 kmph is
A cuboidal block 6cm x 9cm x 12cm is cut up into an exact number of equal cubes.The least possible number of equal cubes will be
In a class there are 19 boys and 10 girls. In how many ways can a boy and a girl be selected?
A sum of money triples itself in twelve years at simple interest. Find the rate of interest?
What will Rs.1500 amount to in three years if it is invested in 20% p.a. compound interest, interest being compounded annually?
Find the average of all prime numbers between 10 and 30.
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 24 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
If x is an integer, and 100 < x^2 <= 361, which of the following is the sum of all possible values of x?
Simplify: 0.72*0.43+0.12*0.34
A can do a job in 18 days and B can do it in 30 days. A and B working together will finish thrice the amount of work in ------- days?
54, 61, 57, 9, 55, 4, 9. Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
The ratio of the radius of two circles is 1: 3, and then the ratio of their areas is?
In one hour, a boat goes 21 km/hr along the stream and 11 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/8 of the area of the field. What is the length of the field?