BANK & INSURANCE (AGE BASED PROBLEMS) PART 1

Total Questions: 45

11. The total present ages of P and Q is 25 year more than the present age of R. If at present, Q is 5 years older than P, what is P's present age (in year)?

Correct Answer: (a) 20
Solution:

Present age of P + Q = 25 + R ...(1)

Present age of Q = 5 + R

From Eq. (1),

P + 5 + R = 25 + R

⇒ P = 20 years

12. Present age of Jyoti is 4 times the age of Sonia. After 12 yrs. Jyoti will be 3 times as old as Sonia. What is the present age of Sonia?

Correct Answer: (b) 24 yrs.
Solution:

Let Sonia's present age = x yrs

Jyoti's present age = 4x yrs

∴ after 12 yrs,

⇒ (4x + 12) = 3 (x + 12)

⇒ 4x + 12 = 3x + 36

⇒ x = 24 yrs

13. The ages of Shirish and Kunder are in the ratio of 5:6, respectively. After 8 years, the ratio of their ages will be 7:8. What is the difference in their ages?

Correct Answer: (a) 4 yrs.
Solution:

Let the age of Shirish = 5x and age of Kunder = 6x

ATQ
⇒ (5x + 8) / (6x + 8) = 7/8
⇒ 40x + 64 = 42x + 56
⇒ 2x = 8
⇒ x = 4 yrs.

Age of Shirish = 5 × 4 = 20 yrs.
Age of Kunder = 6 × 4 = 24 yrs.
Difference = 24 − 20 = 4 yrs.

14. 6 years ago, the respective ratio between the ages of Sia and her father that time was 1:7. The difference between the ages of Sia's father and Sia's is 36 yr. What will be Sia's age 25 yr from now?

Correct Answer: (d) 17 yrs.
Solution:

Let Sia's age 6 yrs. ago = x yrs. and her father age = 7x yrs.

⇒ (7x + 6) − (x + 6) = 36
⇒ 7x + 6 − x − 6 = 36
⇒ 6x = 36
⇒ x = 6

Sia's present age = 6 + 6 = 12 yrs.
Sia's age after 5 yrs. = 12 + 5 = 17 yr.

15. The age of Mira, Tina and Sania are in the ratio 6:4:7, respectively. If the sum of their ages is 34 yrs., What is Sania's age?

Correct Answer: (e) None of these
Solution:

Let the age of Mira, Tina and Sania is 6x, 4x and 7x respectively.

⇒ 6x + 4x + 7x = 34
⇒ 17x = 34
⇒ x = 2 yrs.

Sania's age = 7 × 2 = 14 yr.

16. The respective ratio between the present ages of Ram and Rakesh is 6:11. Four year ago, the ratio of their ages was 1:2, respectively. What will be Rakesh's age after five years?

Correct Answer: (c) 49 yrs.
Solution:

Let present age of Ram = x yrs. and present age of Rakesh = y yrs.

⇒ x/y = 6/11
⇒ x = 6y/11

Four years ago,

⇒ (x − 4) / (y − 4) = 1/2

⇒ 2x − 8 = y − 4
⇒ 2 × (6y/11) − 8 = y − 4
⇒ 12y − 88 = 11y − 44
⇒ y = 44

Rakesh's age after 5 years = 44 + 5 = 49 yrs.

17. The present ages of Vishal and Shekhar are in the ratio of 14:17 respectively. Six years from now, their ages will be in the ratio of 17:20, respectively. What is Shekhar's present age?

Correct Answer: (c) 34 yrs.
Solution:

Let the present age of Vishal and Shekhar is 14x and 17x respectively.

After six years,

⇒ (14x + 6) / (17x + 6) = 17/20

⇒ 280x + 120 = 289x + 102
⇒ 9x = 18
⇒ x = 2 yrs.

Shekhar's present age = 17 × 2 = 34 yr.

18. The respective ratio of the present ages of a mother and daughter is 7:1. Four years ago, the respective ratio of their ages was 19:1. What will be the mother's age four years from now?

Correct Answer: (c) 46 yrs.
Solution:

Let the present age of mother and daughter is 7x yrs. and x yrs. respectively.

4 yrs. ago,

⇒ (7x − 4) / (x − 4) = 19/1

⇒ 7x − 4 = 19x − 76
⇒ 12x = 72
⇒ x = 6 yrs.

Mother's present age = 7 × 6 = 42 yrs.

After 4 years mother's age
= 42 + 4 = 46 yr.

19. The age of Bhakti and Neil are in the ratio of 8:7, respectively. After 6 yrs., the ratio of their ages will be 19:17. What is the difference in their ages?

Correct Answer: (a) 4 yrs.
Solution:

Let the Bhakti's age = 8x and Neil's age = 7x

After 6yrs.,

⇒ (8x + 6) / (7x + 6) = 19/17

⇒ 136x + 102 = 133x + 114
⇒ 3x = 12
⇒ x = 4 yrs.

Bhakti's age = 8 × 4 = 32 yrs.
Neil's age = 7 × 4 = 28 yrs.

Difference = 32 − 28 = 4 yrs.

20. The ages of Raghav and Priti are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5?

Correct Answer: (d) 10 years
Solution:

Let “a” years ago, the ratio of Raghav and Priti's age was 3:5.

(40 − a) / (60 − a) = 3/5

200 − 5a = 180 − 3a

a = 10 years