Quantitative Aptitude - Arithmetic Ability Questions

An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm . When a few solid spherical metallic balls each of radius 1⁄2 cm are dropped in the vessel , 25% water is overflowed. The number of balls is:

The sum of two numbers is 25 and sum of their square is 313. Calculate the numbers.

How much does one need to add to 2/3 to obtain 3/2?

Pipes A, B, and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is three-fifth full, how many hours will be needed to fill the cistern?

The ratio of cost price and selling price 25:26. The percent of profit will be

What is the value of [1/(1 – tan θ)] – [1/(1 + tan θ)]?

A car takes 5 hours to cover 100 kms distance at a particular speed whereas another car takes 3 hours to reach a particular distance at the same speed. Find the distance.

If x2 + ax + b, when divided by x - 3, leaves a remainder of 22 and x2 + bx +a, when divide by x - 3, leaves a remainder of 24, then a + b = ?