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big_math_dataset

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How many positive integers less than 5,000 are evenly divisible by neither 14 nor 21?
Ajay can walk 6km in 1 hour. In how many hours he can walk 45km?
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
Anup was asked to find the value of 7/12 of a sum of money Q. Instead of multiplying the same by 7/12,he divided it by 7/12 and his answer exceeded the correct answer by 95. The correct answer is:
In a business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 1,57,300 was their profit, how much amount did B receive ?
The sides of a square region, measured to the nearest centimeter, are 10 centimeters long. The least possible value of the actual area of the square region is
A division of a company consists of five men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female?
Let a be a positive integer. If w is divisible by 2^a and w is also divisible by 3^(2a), then it is possible that w is NOT divisible by
Simplify: 839478 x 625
The probability of pulling a black ball out of a glass jar is 1/R. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
The average age of the mother and her six children is 13 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?
A+B+C = 500 A+C = 200 B+C = 350 -------------- A+B+2C = 550 A+B+C = 500 ---------------- C = 50 Answer: A
An intelligence agency decides on a code of 2 digits selected from 0, 1, 2, …, 9. But on the slip on which the code is hand written allows confusion between top and bottom, because there are indistinguishable. Thus, for example, the code 91 could be confused with 16. How many codes are there such that there is no possi...
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of X square inches. Which of the following equations must be true?
If x+y=4, x-y=36, for integers of x and y, x=?
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 50 and the turban. Find the price of the turban.
The length of a side of a hexagon is 4 inches. What is the perimeter?
For a positive integer n, let PnPn denote the product of the digits of nn and SnSn denote the sum of the digits of nn. The number of integers between 10 and 100 for which Pn+Sn=n
A small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
In a new Engineering Hostels containing 100 rooms. Ankit Garg was hired to paint the numbers 1 to 100 on the doors. How many times will Ankit have to paint the number eight ?
The profits of QRS company rose 20% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
In a certain sequence of numbers, a1, a2, a3, ..., an, the average (arithmetic mean) of the first m consecutive terms starting with a1 is m, for any positive integer m. If a1=1, what is a13?
In a set of 5 black balls and 3 red balls, how many selections of 5 balls can bemade such that at least 3 of them are black balls?
a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42.the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is?
Working at constant rate, pump X pumped out half of the water in a flooded basement in 2 hours. The pump Y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. How many hours would it have taken pump Y , operating alone at its own constant rat...
Donald duck can can swim his pool downstream(with the pool current helping time) in exact 40 seconds and upstream(against the pool current) in a pool in exact 60 seconds. The length of pool is 2 kilometers. How long Donald duck can cover distance of one side at a still pool (with no current).
If the given two numbers are respectively 6% and 18% of a third number, then what percentage is the first of the second ?
A invested Rs. 76,000 in a business. After few months, B joined him Rs. 57,000. At the end of the year, the total profit was divided between them in ratio 2 : 1. After bow many months did B join?
If n is a positive integer, which of the following expressions must be even?
A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds. What is the length of the train in meters?
If x2−1/x+1, then, x = ?
Simplfy b - [b -(a+b) - {b - (b - a+b)} + 2a]
If a die has 3,4 and 1,6 and 2,5 opposite each other, then how many such dies can be made.
The radius of a circular wheel is 1.75 m, how many revolutions will it make in traveling 1 km?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
1/3rd of work is completed by kiran in 6days. In how many days he can finish the remaining work?
If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr?
The average age of a class of 32 students is 15 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
A car traveling at a certain constant speed takes 12 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A certain sum of money at simple interest amounted Rs.1448 in 9 years at 4% per annum, find the sum?
In what time a debt of Rs.7920 due may be cleared by immediate cash down payment of Rs.3600 at 1/2% per month
A person crosses a 500 m long street in 4 minutes. What is his speed in km per hour?
In how many ways can eight different rings be worn on four fingers of one hand?
(1^2+2^2+3^2+.....+11^2)=?
The car A has an average speed of 40 miles/hour and car B has an average speed of 60. How much time(in minutes) does the car A take more than car B to cover a distance of 60 miles?
For which of the following functions is f(z+b)=f(z)+f(b) for all positive numbers z and b?
In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 18% and its breadth is decreased by 16%?
How many numbers from 10 to 50 are exactly divisible by 3
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 180 votes. Find the total number of valid votes?
If x is a negative integer, which of the following must be a negative integer?
The food in a camp lasts for 40 men for 30 days. If ten more men join, how many days will the food last?
2 corner most boxes of a chess board(diagonally opposite) haven been cut out there's a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ?”
A can finish a piece of work in 5 days. B can do it in 15 days. They work together for two days and then A goes away. In how many days will B finish the work?
In Plutarch Enterprises, 70% of the employees are marketers, 20% are engineers, and the rest are managers. Marketers make an average salary of $60,000 a year, and engineers make an average of $80,000. What is the average salary for managers if the average for all employees is also $80,000?
If |x - 20| = 40 what is the sum of all the values of x.
If your mother asked you to bring her 7 water bottles, and one bottle costs 1.5 $, how much money should she give you?
At what rate of interest (compounded yearly)will Rs.10,000 amount to Rs.12100 in 2 years?
15 and 5 are the first two terms in a geometric sequence. What is the arithmetic difference between the 7th term and the 9th term?
The mean of 1^3,2^3,3^3,4^3,5^3 is?
Convert the 18/42 m/s into kilometers per hour?
The ratio of salary of a worker in July to that in June was 21⁄2 : 21⁄4, by what % the salary of July more than salary of June. Also find by what %, salary of June was less than that of July.
In expressing a length of 77.470 km as nearly as possible with the three significant digits, find the percentage error
The average of 40 numbers is 32. If two numbers namely 34 and 39 are discarded, The average of remaining numbers is?
The cube root of .000343 is
The probability that a arrow fired from a point will hit the target is 1/4. Three such arrows are fired simultaneously towards the target from that very point. What is the probability that the target will be hit?
A and B together can do a piece of work in 3 days. If A alone can do the same work in 20 days, then B alone can do the same work in?
By travelling at 60 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?
Find the invalid no.from the following series 10, 17, 22, 29, 34, 36
Present ages of X and Y are in the ratio 4:5 respectively. 6 years hence this ratio will become 5:6 respectively. What is X's present age in years?
In a 2000 m race, A beats B by 100 meters or 50 seconds. Find the speed of B?
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 16:36. Find the ratio of their corresponding heights .
65% of x = 20% of 422.50. Find the value of x?
The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+48, what is the perimeter of the garden in feet?
The perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
What is the rate percent when the simple interest on Rs.9100 amount to Rs.455 in 3 Years?
How many digits are in the number 50^8 × 8^3 × 11^2?
. If the sides of two cubes are in the ratio 3: 1 the ratio of their total surface area is?
If mn > 0, which of the following must be negative?
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
If the radius of a circle is increased by 20% then the area is increased by:
A certain fruit stand sold apples for $0.70 each and guava for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Cathy and Jim begin running at the same time and they start at the same place on a straight path. Cathy runs at 10 miles per hour, and Jim runs at 6 miles per hour. After 18 minutes, Cathy stops to stretch. If it takes Cathy 27 minutes to stretch and Jim continues to run during this time, how many minutes will it take ...
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 600 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours...
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Find the sum of all 2 digit numbers divisible by 3.
The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
49 × 49 = 7^?
If pipe A can fill the tank in 45 minutes and pipe B in 30 minutes, find the time to fill the tank if both the pipes are opened together.
The average of 5 quantities is 11. The average of 3 of them is 4. What is the average of remaining 2 numbers?
How many cubes of 5cm edge can be cut out of a cube of 15cm edge
Sum of the squares of three numbers is 431 and the sum of their products taken two at a time is 265. Find the sum?
In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 63 as quotient. What is the correct quotient ?
Suresh drives his car to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. What is his average speed for the whole journey ?
The average height of 30 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. What was the actual average height of the students in the class?
What is the value of n if the sum of the consecutive odd intergers E from 1 to n equals 169?
A class is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the class room ?