## the average age of three friends

Three friends Rajan, Rakesh and Mukesh are childhood friends. They remember that, three years ago the average of their ages was 27 years. While Rakesh and Mukesh remember that five years ago the average age of them was 20 years only. How old is Rajan now?

## The weight of new man

The average weight of 8 men is increased by 1.5 kg when one of the men who weigh 65 kg is replaced by a new man. What is the weight of new man?

## The age of teacher

24 students of a class VII decided to find the average age of themselves and their teacher. They calculated it as 15 years. Later on they again calculated the average age of students by excluding the age of teacher. They found this time the average was 1 less than the earlier one. What is the age of teacher? a) 29 years b) 39 years c) 41 years d) 33 years

## The representative value of mathematics scores ,

The mathematics scores of some of the students are given below. ( out of 30) 12, 14, 16, 15, 20, 23, 26, 28, 29, 22, 30 Teacher wanted to find the representative value of their scores such that she could say that half of students have scored marks above that and half of the students have scored marks below that? What was that score? a) 20 b) 22 c) 21 d) 23

## Select a two digit number

Monu and Sonu were playing number games. Monu asked Sonu to select a two digit number such that the sum of the digits is 11 and if the digits are interchanged then the new number must be 9 more than the original number. Which number can Sonu select?

## The dimensions of rectangular garden

A gardener told Neha that 42 m long wire would be required for fencing of her rectangular garden, whose breadth is half of its length. Neha needs to cross check the measurements. What are the dimensions of her garden?

## The probability of the concentration of sulphur dioxide in the air

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows as frequency distribution table:

## The coefficient of terms in the expansion are equal

Find the value of r, if the coefficient of (2r + 4)th and (r – 2)th terms in the expansion of (1 + x)18 are equal.