BANK & INSURANCE (AGE BASED PROBLEMS) PART 3

Total Questions: 45

41. Four times the difference in ages of C and A is one more than the age if B. Percentage of A's age to C's age is 75%. If ratio of B's age 5 years hence to C's age 1 year ago is 4 : 3. Find the average of ages A and C?

Correct Answer: (b) 19
Solution:

4 (C − A) = B + 1

A/C × 100 = 75

(B + 5)/(C − 1) = 4/3

Solve

A = 12, C = 16

⇒ Avg = (12 + 16)/2 = 38/2 = 19

42. When the couple was married the average of their ages was 25 years. When their first child was born, the average age of family became 18 years. When their second child was born, the average age of the family became 15 years. Find the average age of the couple now?

Correct Answer: (d) 29
Solution:

Sum of ages of couple = 25 × 2 = 50

When 1st child born, total age of 3 = 18 × 3 = 54 years

At this time the child’s age was 0, so age of father and mother would have increased by same. So increased by 2 years each.
So 50 + 2 + 2 = 54

Now when 2nd child born, total age of 4 = 15 × 4 = 60

So this time second child’s age = 0 and age of father, mother and first child would have increased by same.
So increased by 2 each such that

54 + 2 + 2 + 2 = 60

So now this time (after 4 years from age 50), total age of couple is

50 + 4 + 4 = 58

So average = 29 years

43. When a couple was married, their average age was 22 years. When their first child was born, the average age of all the three became 16 years. When their second child was born, the average of all 4 became 15 years. Find the average age of couple at the time when their second child was born.

Correct Answer: (b) 28
Solution:

At the time of marriage total age of couple = 44

when 1st child is born total age of three = 16 × 3 = 48

Difference = 48 − 44 = 4 years

(Child is of 0 years hence this is the sum of age increase of couple)

When second child is born sum of age = 4 × 15 = 60 years

⇒ increase of 12 years after first child, means age of husband, wife and first child increased by 4 years each.

So increase in husband and wife total age = 8 years

total increase = 4 + 8 = 12

total age = 44 + 12 = 56 ; average = 56/2 = 28 years

44. The average age of a group of 20 men is 22 years. If two men whose age are 24 and 31 years respectively join the group, the average of new group increase or decrease by?

Correct Answer: (b) increase by 0.5 year
Solution:

When 2 new people join if the sum of their age is 44 then the average will not change, but the sum of age of new people is 55 i.e increase of 11.

Hence avg increases by 11/22 = 0.5 years.

45. The present age of a son is 40% of his father age. And the age of his mother is 220% of his age. The average age of three members is 38. Find the present age of mother.

Correct Answer: (d) 44 years
Solution:

Son = 40% of father

F : S = 5 : 2

Mother = 220% of son = 11/5

M : S = 11 : 5

make F : M : S = 25 : 22 : 10

Avg = (25 + 22 + 10)/3 = 38

57 = 114

1 = 2

⇒ 22 = 44