Average Questions for Bank PO, SO, Clerk Exams with Solution - 1

Question: 1

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

(A) $$28{4}/{7}$$

(B) $$29{4}/{7}$$

(C) $$31{5}/{7}$$

(D) $$41{5}/{7}$$

Ans: C

Required average = $$({67 × 2 + 35 × 2 + 6 × 3} / {2 + 2 + 3})$$

                           = $$({134 + 70 + 18} / {7})$$ = $${222}/{7}$$ = $$31{5}/{7} $$ years.

Question: 2

A student obtained 60, 75 and 85 marks respectively in three monthly examinations in Physics and 95 marks in the final examination. The three monthly examinations are of equal weightage whereas the final examination is weighted twice as much as a monthly examination. His average marks in Physics are

(A) 78

(B) 79

(C) 80

(D) 82

Ans: D

Average marks in Physics = $${60 × 1 + 75 × 1 + 85 × 1 + 95 × 2}/{1 + 1 + 1 + 2}$$

                                       = $${60 + 75 + 85 + 190}/{5}$$ = $${410}/{5}$$ = 82.

Question: 3

There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a new corner. If the average of the class thereby, was lowered by one month, the age of the new corner is

(A) 14 years

(B) 15 years

(C) 16 years

(D) 17 years

Ans: C

Total age decreased = (24 × 1) months = 24 months = 2 years.

∴ Age of the new corner = (18 – 2) years = 16 years.

Question: 4

The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. The average age of the family now is

(A) 17 years

(B) 19 years

(C) 23 years

(D) 28 years

Ans: B

Sum of the present ages of husband, wife and child

= (23 × 2 + 5 × 2) +1 = 57 years.

∴ Required average = $$({57}/{3})$$ = 19 years.

Question: 5

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?

(A) 4 years

(B) 8 years

(C) 15 years

(D) 18 years

Ans: C

Age decreased = (5 × 3) years = 15 years.

So, the required difference = 15 years.

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