Quantitative Aptitude - Arithmetic Ability Questions

In ΔDEF measure of angle E is 90 deg. If cotD = 8/15, and DE = 16cm, then what is the length (in cm) of side EF?

 What is the value of (sin60° - 2/√3) ?

Simplify : 213 - 112 of 35 + 125 ÷ 213

How many spherical balls of radius 1 cm can be made by melting a hemisphere of radius 6 cm?

The average age of a batch of 19 members is 24 years. If the age of the faculty be included, then the average increases by 4 months. What is the age of the faculty?

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

If any two sides of a triangle are divided by the line in the same ratio, then the line must be _________________ to the third side of the triangle.

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?