Quantitative Aptitude - Arithmetic Ability Questions

If tan(A/2) = x, then the value of x is

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

In a mixture of 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

What is the value of Sin 30- √2 Cos 30

If a cone is divided into two parts by drawing a plane through the midpoints of its axis, then the ratio of the volume of the 2 parts of the cone is

If cot π/3c -­ tan π/4c = x, then the value of x is

The value of cos (1110°) is

A sphere of radius 5 cm is melted to form a cone with base of same radius. The height (in cm) of the cone is