Quantitative Aptitude - Arithmetic Ability Questions

In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 30°, then what is the value (in degrees) of ∠PBC?

Find the value of '?, if the mean of the data set 18, 16, 22, 13, ? = 16.

The diagonal of a square is 10√2 cm, find its perimeter?

A hollow hemispherical bowl is made of silver with its outer radius 8 cm and inner radius 4 cm respectively. The bowl is melted to form a solid right circular cone of radius 8 cm. The height of the cone formed is

The total surface area of a hemisphere is 462 sq.cm. Find its diameter (in cm).

If 2(3x ­- 4) -­ 2 < 4x ­- 2 ≥ 2x -­ 4; then the value of x is

What is the equation of the line which has 3/2 and -­4/7 as x and y intercept respectively?

What is the value of (cot45 - √2) ?