Quantitative Aptitude - Arithmetic Ability Questions

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?

One internal angle of a rhombus of side 12 cm is 120°. What is the length of its longer diagonal?

How many diagonals are there in octagon?

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

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

What is the value of (cos30° + 1/2) ?

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

If 2sec2x - tan2x = 5 and 0° ≤ x ≤ 90°, then x = ?