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?

The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:

What is the value of Cot 60°- Cos 45°?

If tan (5x ­- 10°) = cot (5y + 20°), then the value of x + y is

The difference between the ages of two sisters is 4 years when father's age is 54. Father is elder by 2 years to mother . Younger sister's age is half of mother's age. Find the age of elder sister.

A sum of money invested at simple interest becomes 13/10 of itself in 2 years and 6 months. What is the rate (in percentage) of interest per annum?

Two circles touch each other at point X. Two common tangents of the circles meet at point P and none of the tangents passes through X. These tangents touch the larger circle at points B and C. If the radius of the larger circle is 15 cm and CP = 20 cm, then what is the radius (in cm) of the smaller circle?

In ΔPQR measure of angle Q is 90°. If tanP = 4/3, and PQ = 1.5cm, then what is the length (in cm) of side PR?