Quantitative Aptitude - Arithmetic Ability Questions

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

Area of 4 walls of a cuboid 400 sq cm, its length is 15 cm and height is 8 cm. What is its breadth (in cm)?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

If x + 3 ≤ 4x + 4 and 3(4 - x) - 4 ≥ 2x - 2, then x can take which of the following values?

If cos 27° = x, the value of tan 63° is

A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?

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.