Quantitative Aptitude - Arithmetic Ability Questions

The slope of the line passing through the points (2,-1) and (x,5) is -1. Find x?

If 2x -­ 3 ≤ 5 + x and 5 -­ x < 1 + 5x; then x can take which of the following values?

If cos(A-B) - cos(A+B) = x, then the value of x is

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

Find the sum of interior angles of a decagon?

The total surface area of a hemisphere is 41.58 sq cm, find its radius.

In the circle above, chord AB is extended to meet the tangent DE at D. If AB = 5 cm and DE = 6 cm, find the length of BD.

The tangents drawn at points A and B of a circle with centre O, meet at P. If ∠AOB = 120° and AP = 6 cm, then what is the area of triangle (in cm2) APB?