100+ Average Questions with Solutions Pdf - 1

Question: 1

The average age of 24 boys and the teacher is 15 years. When the teacher’s age is excluded the average decreases by 1. What is the age of the teacher?

(A) 37years

(B) 38 years

(C) 39 years

(D) 42 years

Ans: C

Age of the teacher = (25 × 15 – 24 × 14) = 39 years.

Question: 2

The average age of seven boys sitting in a row facing North is 26 years. If the average age of the first three boys is 19 years and the average age of the last three boys is 32 years, what is the age of the boy who is sitting in the middle of the row?

(A) 24 years

(B) 28 years

(C) 29 years

(D) 31 years

Ans: C

Age of the boy sitting in the middle = [26 × 7 – (19 × 3 + 32 × 3)]

                                                    = (182 – 153) years. = 29 years.

Question: 3

The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother?

(A) 40 years

(B) 41 years

(C) 42 years

(D) 48 years

Ans: C

Age of the mother = (12 × 7 – 7 × 6) years = 42 years.

Question: 4

A batch of 60 students made an average score of 50 marks and another batch of 40 students made it only 45. What is the overall average score?

(A) 47

(B) 48

(C) 49

(D) 50

Ans: B

Overall average score = $${60 × 50 + 40 × 45} / {60 + 40}$$

                                 = $${60 × 50 + 40 × 45} / {100}$$

                                 = 30 + 18 = 48.

Question: 5

The average of eight numbers is 14. The average of six of these numbers is 16. The average of the remaining two numbers is

(A) 4

(B) 6

(C) 8

(D) 10

Ans: C

Total sum of remaining two = (8 x 14 – 6 x 16) = 16.

∴ Average of these two numbers = $${16} / {2}$$ = 8.

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