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big_math_dataset

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A bag contains 3 red, 4 black and 2 white balls. What is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
A car rental company charges for mileage as follows: 9 dollars per mile for the first n miles and 10 dollars per mile for each mile over n miles. How much will the mileage charge be, in dollars, for a journey of d miles, where d > n ?
The cost price of a radio is Rs.1500 and it was sold for Rs.1335, find the loss %?
In the rectangular coordinate system, what is the x-intercept of a line passing through (10, 3) and (−10, −7)?
Find the 15th term of an arithmetic progression whose first term is 2 and the common difference is 3.
Ravi can do a piece of work in 20 days while Prakash can do it in 40 days. In how many days will they finish it together?
In a dairy farm, 46 cows eat 46 bags of husk in 46 days. In how many days one cow will eat one bag of husk ?
Tap A runs 3 liters of water per minute into a bucket that has a total volume of 36 liters. Tap B fills a third of the bucket in 20 mins. Working together how long will it take both taps to fill the bucket ?
A person can row upstream 20 kmph and downstream 30 kmph. Find the person rate in still water and rate of the stream.
The cost price of 18 articles is equal to the selling price of 11 articles. Find the profit percent?
Anand and Deepak started a business investing Rs. 12,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 10,800, Deepak's share is?
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?
The diagonals of a rhombus are 14 cm and 18 cm. Find its area?
Mr. Yutaro’s class contains 4 boys and 12 girls. If two students are chosen, one at a time, from the class, what is the probability that a boy and a girl are chosen?
A tour group of 25 people paid a total of $600 for entrance to a museum. If this price included a 5% sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax? Choices
Find the missing figures : ?% of 50 = 2.125
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 46 grams of protein daily, how many grams of food X are in the mixture?
How many odd factors does 270 have?
There are 99 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
What is the probability of rolling two six-sided dice, and getting a different number on each die?
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?
The total age of A and B is 20 years more than the total age of B and C. C is how many years younger than A.?
A man can row with a speed of 40 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
There are 6 ladies and 3 gents to dine at a round table. In how many ways can they seat themselves so that no two gents are seated together.
A butler stole wine from a butt of sherry which contained 40% of spirit and he replaced,what he had stolen by wine containing only 16% spirit. The butt was then of 24% strength only. How much of the butt did he steal?
If (0.2)x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:
Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Calculate the different number of ways 5 boys and 3 girls can sit on a bench?
A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained?
The radius of the wheel of a bus is 140 cms and the speed of the bus is 66 km/h, then the r.p.m. (revolutions per minutes)of the wheel is
The number of boys in a class is four times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
A tradesman by means of his false balance defrauds to the extent of 30%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
If there are twice as many women as men in a group and an equal number of men and women do not own cars - a group that is 40% of the total. What fraction of the total is men who own cars?
In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In how many ways can the 10 passengers be seated?
The 8 spokes of a custom circular bicycle wheel radiate from the central axle of the wheel and are arranged such that the sectors formed by adjacent spokes all have different central angles, which constitute an arithmetic series of numbers (that is, the difference between any angle and the next largest angle is constan...
If the numerator of a fraction be increased by 15% and its denominator be diminished by 8% , the value of the fraction is 15/16. Find the original fraction.
The average age of a group of 5 members is 20 years. Two years later, a new member joins the group. The average age of the group becomes 21.5 years. What is the age of the new member ?
A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?
If an article is sold at 5% gain instead of 5% loss,the seller gets Rs 6.72 more. The C.P of the article is?
4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)?
If the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters, what is the length of the rectangle, in centimeters?
If the sum of two numbers is 30 and the sum of their squares is 840, then the product of the numbers is
The 40 parents participating in the Smithville PTA have been assigned to at least 1 of 3 committees: festival planning, classroom aid, and teacher relations. 21 parents are assigned to the festival planning committee, 18 parents are assigned to the classroom aid committee, and 19 parents are assigned to the teacher rel...
Write 330,000,000,000 in scientific notation
If x + y = 13 and x – y = 3, then x^2 - y^2 =
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. 6625, what is the length of the plot in metres?
$400 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
In how many W ways can a four-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?
It is currently 8:12 PM. At what time in the morning was it exactly 205,106 minutes ago?
A sum of money becomes Rs 13,380 in 3 years and Rs 20,070 in 6 years at compound interest. The initial sum is?
In a factory, an average of 50 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 48 sets/day . The average production per day for day last 5days is ?
A money lender lent a total of $1800 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1800, how much did he lend to each of the two customers?
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m?
If 0 < M < Y, M is an odd number and Y is a prime number, which of the following can be the value of M + Y ?
In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates (-4, 1), (1, 1), (1, -3) and (-4, -3)?
A cistern is normally filled in 12 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty?
By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 25?
what is the speed of a stream if a canoes rows upstream at 8km/hr and downstream at 10.5km/hr.
The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 24 minutes is
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
In 1 kg mixture of sand and iron, 20% is iron. How much sand should be added so that the proportion of iron becomes 10%?
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 8 family members in a row for the picture?
A horse is tethered to one corner of a rectangular grassy field 40 m by 24 m with a rope 14 m long. Over how much area of the field can it graze?
Seven friends are planning to attend a concert. If another friend also goes with them, they will get a group discount on their tickets. If the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number H of employees who take the subway to work?
Mary is expected to pay back a total sum of $819200 to her bank as mortgage. If she is expected to make a payment which is double of the previous months amount, how long will it take her to fully repay the loan if her initial payment was $400.
What will $500 amount to in three years if it is invested at 20% per year compound interest, with the interest being compounded annually?
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is
How many numbers amongst the numbers 7 to 56 are there which are exactly divisible by 8 but not by 6?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
The speed of a boat in upstream is 80 kmph and the speed of the boat downstream is 100 kmph. Find the speed of the boat in still water and the speed of the stream?
The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?
The ratio of numbers is 3:4 and their H.C.F is 8. Their L.C.M is:
If set A={2,2,2,....,n times} , set B={3,3,3,3....m times} and set C={12,12,12...k time} , then in terms of m,n and k , how many possible subsets from sets A,B, and C can be created ?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
A password of a computer used four digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
If x is an even integer and y is an odd integer, which of the following is an even integer?
The sum of the present age of Henry and Jill is 48. What is their present ages if 9 years ago Henry was twice the age of Jill?
Which number can we add to 722425 to get a number exactly divisible by 456?
The mean of four integers L will not change if all the integers are multiplied by any constant. What is always true about this set of numbers? I. The mean of the set is 0 II. The sum of the largest member and the smallest member of the set is 0 III. The set contains both positive and negative integers
In a class there are 10 boys and 25 girls. In how many ways can a boy and a girl be selected?
On a certain transatlantic crossing, 15 percent of a ship's passengers held round-trip tickets and also took their cars aboard the ship. If 60 percent of the passengers with round-trip tickets did not take their cars aboard the ship, what percent of the ship's passengers held round-trip tickets?
Look at this series: 5.2, 4.8, 4.4, 4, ... What number should come next?
If n is an integer, what is the greatest possible value for n that would still make the following statement true: 11*10^n < 1/10 ?
The area of a circular field is 17.56 hectares. Find the cost of fencing it at the rate of Rs. 3 per metre approximately
The population of a town is 8000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
Statement: "In order to bring punctuality in our office, we must provide conveyance allowance to our employees." Assumptions: 1)Conveyance allowance will not help in bringing punctuality. 2)Discipline and reward should always go hand in hand.
Steel company has four empty trucks that will head out in the morning, all four to the same destination. The clerk has four different boxes to ship to that same destination. All four boxes could go on any one of the trucks, or the boxes could be split up into any groupings and given to the trucks in any combinations (i...
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 18 more than n. What is y in terms of x ?
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 15, how many more dollars, in terms of x, will it cost per person?
Reb normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20% . If Reb averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need...
How many pieces of 0.40 meteres can be cut from a rod 47.5 meteres long
The average age of a class of 20 students is 18 years. The average increased by 2 when the teacher's age also included. What is the age of the teacher?
If 3x=9y=z, what is x+y, in terms of z?
Machine A and machine B are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces?
If a book is sold at 8% profit instead of 8% loss, it would have brought Rs 12 more. Find out the cost price of the book
Two trains 140 m and 170 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?