## Average Aptitude Test Paper 2

6) Average age of a group of 30 boys is 16 years. A boy of age 19 leaves the group and a new boy joins the group. If the new average age of the group is 15.8 years, find the age of the new boy.

1. 12 years
2. 13 years
3. 14 years
4. 15 years

Explanation:

Let the age of new boy = X years

Total age of 30 boys = 30*16 = 480 years

As per question, if we minus age of boy who leaves the group and then add the age of boy who joins the group the new average becomes = 15.8 years. = 15.8

480 - 19 + X = 474

X = 474 - 480 +19

X = - 6 +19

= 13 years

7) The average weight of 10 men is decreased by 2 kg when one of them whose weight is 60 kg is replaced by a new man. What is the weight of the new man?

1. 35 kg
2. 40 kg
3. 45 kg
4. 50 kg

Explanation:

Average decrease in weight per person = 2kg

There are 10 men so total decrease in weight on replacing a man with a new man = 10 ∗ 2= 20 kg

Weight of the man who is replaced = 60 kg

∴The weight of the new man would be = Weight of man replaced - total decrease in weight of the group of 10 men.

= 60 - 20 = 40 kg

8) The average age of 30 boys in a class is 15 years. If we include the age of two teachers the average age increases by 1. Find the sum of ages of the two teachers.

1. 55 years
2. 58 years
3. 62 years
4. 64 years

Explanation:

Total age of 30 boys would be = 30∗15 = 450 years

Total age of 30 boys and 2 teachers would be = 32∗16= 512 years

∴ Sum of ages of two teachers would be = 512 - 450 = 62 years

9) The average age of the committee of 10 members is 40 years. A member of age 52 retires and a new member of age 38 takes his place. What is the average age of the present committee?

1. 38.6 years
2. 33.5 years
3. 35.5 years
4. 37.5 years

Explanation:

Total age of the committee = 10 ∗ 40 = 400 years

Age of retired member = 52 years

Age of new member = 38 years

As per question, we will minus 52 years and add 38 years in the total age then divide by 10 to find the new average age of the committee. = = = = 38.6 years

10) Four years ago, the average age of A and B was 20 years. If today average age of A, B and C is 25 years, what will be age of C after 7 years?

1. 32 years
2. 34 years
3. 36 years
4. 38 years

Explanation:

Total age of A and B four years ago = 20 ∗ 2 = 40 years

Present total age of A and B would be = 40 + 4∗2 = 48 years

Present total age of A, B and C is = 25 ∗ 3 = 75 years

∴ Present age of C would be = 75 - 48 = 27 years

Age of C after 7 years = 27 + 7 = 34 years

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