Quantitative Aptitude - Arithmetic Ability Questions

Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?

If the side of a square is increased by 20%, then what will be the percentage increase in its perimeter?

In a company 2/3 of the workers are girls, 1/2 of the girls are married and 1/3 of the married girls live in hostel. If 3/4 of the boys are married and 2/3 of married boys live in hostel. Calculate the part of workers who don’t live in hostel.

What is the value of √[(1 ­- cosA)/(1 + cosA)]?

Find the value of 6813+6413314

If cos2x + cos4x = 1, then tan2x + tan4x =

The mid points of AB and AC of the Δ ABC are P and Q respectively. If PQ = 6 cm, then the side BC is

A batsman makes a score of 111 runs in the 10th match and thus increases his average runs per match by 5. What will be his average after the 10th match?