BANK & INSURANCE (AGE BASED PROBLEMS) PART 1

Total Questions: 45

41. Sum of present ages of P and Q is 60 years. 5 years hence their ages will be in the ratio 3: 4. Find P's present age?

Correct Answer: (c) 25 years
Solution:

Sum of the present ages of P and Q = 60 years

So, Sum of their ages after 5 years
= 60 + (5 × 2) = 70 years

After 5 years, ratio of Ages of P and Q will be 3 : 4

Therefore,

P's age after 5 years = (3/7) × 70 = 30 years.

And, P's present age = 30 − 5 = 25 years.

42. Five years ago the ratio of the ages of Omkar and Nitin was 8 : 7. Three years hence, the ratio of their ages will be 12 : 11. what is Nitin's age at present?

Correct Answer: (d) 19 years
Solution:

Let the age of Omkar and Nitin five years ago 8x and 7x respectively.

Omkar's present age = (8x + 5)
Nitin's present age = (7x + 5)

Now, as per the equation

Then, ((8x + 5) + 3) / ((7x + 5) + 3) = 12/11

⇒ (8x + 8)/(7x + 8) = 12/11

On cross multiplication, we get

⇒ 88x + 88 = 84x + 96

⇒ 4x = 8 ⇒ x = 2.

∴ Nitin's present age = (7x + 5) = (7 × 2 + 5) = 19 years.

43. In a family there are two children Navya and Reet.The ratio between the present age of Navya and Reet is 5 : 6. After 8 years the ratio of their ages will be 7 : 8. Find their total age of Navya and Reet after 10 years?

Correct Answer: (e) None of these
Solution:

Let the present age of Navya = 5x, Reet = 6x

After 8 years,

5x + 8 : 6x + 8 = 7 : 8

(5x + 8) 8 : (6x + 8) 7

40x + 64 = 42x + 56

64 − 56 = 42x − 40x

8 = 2x

x = 4

Present age of Navya = 20, Reet = 24

After 10 years the total of their ages
= 20 + 10 + 24 + 10 = 64

44. Sum of present ages of A, B and C is 72 years. If 4 years ago, the ratio of their ages were 1 : 2 : 3 respectively, find A's present age?

Correct Answer: (b) 14 years
Solution:

Sum of present ages of A, B and C is 72 years

Therefore, Sum of their ages 4 years ago = 72 − (4 × 3) = 60 years

4 years ago ratio of the ages of A, B and C was = 1 : 2 : 3

Therefore, A's age four years ago = (1/6) × 60 = 10 years

So, A's present age = 10 + 4 = 14 years.

45. The total ages of Ankit,Narendra and Satendra is 96 years. Five years ago, the ratio of their ages was 2 : 3 : 4. What is the present age of Satendra?

Correct Answer: (c) 41 years
Solution:

Let the ages of Ankit, Narendra and Satendra 5 years ago be 2x, 3x and 4x years respectively.

So, total of their present ages will be,

(2x + 5) + (3x + 5) + (4x + 5) = 96

9x + 15 = 96

9x = 81

x = 9

So, the present age of Satendra
= 4x + 5 = 4 × 9 + 5 = 41 years