## If we increase the side of a cube the volume increases

If we increase the side of a cube by 4 m, the volume increases by 208 m^3 . Which of these is the side of the cube?

## The length of arc AB

If the radius of the circle with center O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB?

## Members play both badminton and tennis

In a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. How many members play both badminton and tennis?

## The most preferable shirt size

A shopkeeper recorded the data regarding the number of shirts sold in the month of September at its factory outlet. The data are given below in table. Study the data and suggest him, the production of which shirt size should he increased to earn the profit? Which measure do you use to find the most preferable shirt size? Size 85 cm 90 cm 95 cm 100 cm Total Frequency 100 600 500 300 1600 a) 85 cm, Mean                      b) 90 cm, Mode               c) 95 cm, Median                   d) 92 cm, Mode

## A position on line equidistance from both ends

Two friends Tina and Mina were playing a game. Tina drew a line and marked 4 at one end and 10 at other end. She asked Mina to stand at a position on line which is equidistance from both ends. Where should Mina stand to satisfy Tina’s condition?

## the values of a, b and n

The 3rd , 4th and 5th terms in the expansion of (a + b)n are respectively 84, 280 and 560. Find the values of a, b and n.

## The probability for the ticket drawn

There are 50 tickets numbered from 1 to 50 in a box. A ticket is drawn. What is the probability that the ticket drawn (i) Have an odd number. (ii) Have a number which is a perfect cube.