From four corners of a square sheet of side 4 cm, four pieces, each in the shape of arc of a circle with radius 2 cm, are cut out. The area of the remaining portion is:

What approximate value should come in the place of question mark (?) in the following question?

11.92 + 3(-2.18 × 2.97) - (17.98 ÷ 5.96) = ?

The mean of five numbers is 18. If one number is excluded, their mean is 16. The excluded number is:

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X³ = 125
II. Y³ = 8

A person invests a certain amount on simple interest. After 8 years he gets 16% interest. If he invests the same sum for 4 years, then he gets Rs. 9600 as interest, then the sum is

The simple interest on a sum  of money is $$8\over 25$$ of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is 

Find the value of sec θ − tan θ, if sec θ + tan θ = $$ \sqrt { 5} $$