BANK & INSURANCE (AGE BASED PROBLEMS) PART 1

Total Questions: 45

21. 1 year ago, a mother was 4 times older to her son. After 6 years, her age becomes more than double her son's age by 5 years. The present age of mother and son age will be:

Correct Answer: (d) 25 : 7
Solution:

21. (d): Let present age of mother and son be “x” and “y” years respectively.

Then,
x − 1 = 4(y − 1)
⇒ x = 4y − 3 ...(i)

And,
x + 6 = 2(y + 6) + 5 ...(ii)

⇒ 4y − 3 = 2y + 11

⇒ y = 14/2 = 7 years

And, x = 25 years

And, Required ratio = 25 : 7

22. The age of Nishi and Vinnee are in the ratio of 6:5, respectively. After 9 yrs., the ratio of their ages will be 9:8. What is the difference in their ages?

Correct Answer: (d) 3 yrs.
Solution:

Let the age of Nishi = 6x and age of Vinnee = 5x

After 9 yrs.,

⇒ (6x + 9) / (5x + 9) = 9/8

⇒ 48x + 72 = 45x + 81

⇒ 3x = 9

⇒ x = 3 yr.

Nishi's age = 6 × 3 = 18 yrs.
Vinnee's age = 5 × 3 = 15 yr.

Difference = 18 − 15 = 3 yr.

23. At present, Meena is eight times her daughter's age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10:3, respectively. What is the Meena's present age?

Correct Answer: (a) 32 yrs.
Solution:

Let Meena's daughter age = x yr. and Meena's age = 8x

After 8 yrs.,

⇒ (8x + 8) / (x + 8) = 10/3

⇒ 24x + 24 = 10x + 80

⇒ 14x = 56

⇒ x = 4 yr.

Present age of Meena = 8 × 4 = 32 yr.

24. The ages of Melwyn and Louis are in the ratio of 7:10, respectively. After 6 years, the ratio of their ages will be 17:23. What is the difference in their ages?

Correct Answer: (c) 12 yrs.
Solution:

Let the present age of Melwyn and Louis is 7x and 10x respectively.

After 6 years,

⇒ (7x + 6) / (10x + 6) = 17/23

⇒ 161x + 138 = 170x + 102

⇒ 9x = 36

⇒ x = 4 yrs.

Age difference between Melwyn and Louis
= (10x − 7x) = 3x = 3 × 4 = 12 yr.

25. The ages of Ranjana and Rakhi are in the ratio of 15:17, respectively. After 6 yrs., the ratio of their ages will be 9:10. What will be the age of Ranjana after 6 yrs.?

Correct Answer: (d) 36 yrs.
Solution:

Let the age of Ranjana and Rakhi is 15x and 17x respectively.

After 6 years,

⇒ (15x + 6) / (17x + 6) = 9/10

⇒ 153x + 54 = 150x + 60

⇒ 3x = 6

⇒ x = 2 yr.

The age of Ranjana after 6 years
= 15 × 2 + 6 = 36 yr.

26. The average age of a man and his son is 27 yr. The ratio of their ages is 8:1, respectively. What will be the son's age after 6 years?

Correct Answer: (c) 12 yrs.
Solution:

Avg. age of man and his son is 27 yrs.

⇒ (man + son) / 2 = 27

⇒ man + son = 54

⇒ man = 54 − son

Ratio of man and son is 8:1
⇒ (54 − son)/son = 8/1
⇒ 54 − son = 8son
⇒ 9son = 54
⇒ son = 6 yr.

Age of son after 6 yr. = 6 + 6 = 12 yr.

27. The present age of Amit and his father are in the ratio 2:5, respectively. Four years hence, the ratio of their ages will become 5:11, respectively. What was the father's age five year ago?

Correct Answer: (d) 35 yrs.
Solution:

Let the present age of Amit = 2x and present age of Amit father's age = 5x

After 4 yrs.,

⇒ (2x + 4)/(5x + 4) = 5/11

⇒ 22x + 44 = 25x + 20

⇒ 3x = 24

⇒ x = 8 yr.

Amit's father's age before 5 years = 5 × 8

= 40 − 5 = 35 yr.

28. The ratio of the present ages of Anuj and Sandhya is 13:17, respectively. Four years ago, the respective ratio of their ages was 11:15. What will be the respective ratio of their ages six years hence?

Correct Answer: (e) 4:5
Solution:

Let the present ages of Anuj and Sandhya is 13x and 17x respectively.

Four years ago,

⇒ (13x − 4)/(17x − 4) = 11/15

⇒ 195x − 60 = 187x − 44

⇒ 8x = 16

⇒ x = 2 yrs.

Anuj's present age = 13 × 2 = 26 yrs.

Sandhya's present age = 17 × 2 = 34 yrs.

Ratio = (26 + 6)/(34 + 6) = 32/40 = 4:5

29. The ratio of the age of Ram and Shyam is 2 : 3 and that of Shyam and Sita is 6: 9. If the average of Ram and Sita's age is 52 years then find the age of Shyam?

Correct Answer: (c) 48
Solution:

Ratio of the age of Ram : Shyam : Sita = 4x : 6x : 9x

Avg of Ram and Sita = 13x/2 = 6.5x = 52

By solving x = 8

So, age of Shyam = 6 × 8 = 48 Years

30. The average age of the family of five members is 24. If the present age of youngest member is 8 years, then what was the average age of the family at the time of the birth of the youngest member?

Correct Answer: (a) 20 yr.
Solution:

Total age of the five members = 5 × 24 = 120 yr.

8 yr. Ago, Total age of the family = 120 − 40 = 80 yr.

⇒ Average = 80/4 = 20 yr.