BANK & INSURANCE (AGE BASED PROBLEMS) PART 3

Total Questions: 45

21. The average age of Akhil, Parag and Monty is 24 years. 2 years ago, average age of Akhil and Monty was 23 years. 2 years hence average age of Parag and Monty is 26 years. Find the present age of Monty?

Correct Answer: (a) 26
Solution:

Given, average age of Akhil, Parag and Monty = 24 years

Total age of Akhil, Parag and Monty

= 24 × 3 = 72 years .......... (1)

2 years ago, average age of Akhil and Monty = 23

2 years ago, total age of Akhil and Monty

= 46

Present total age of Akhil and Monty

= 50 .......... (2)

2 years hence, average age of Parag and Monty = 26

2 years hence, total age of Parag and Monty

= 52

Present total age of Parag and Monty

= 48 .......... (3)

From equation (1), (2) and (3)

Present age of Monty is 26 years

22. The present age of Leelavati is one-fourth that of her father. After 6 years the father’s age will be twice the age of Lokesh. If Lokesh celebrated fifth birthday 8 years ago. What is Leelavati’s present age?

Correct Answer: (c) 8
Solution:

Let present age of Leelavati = P

Then Father's age = 4P

6 years hence, father's age = 4P + 6

2 (Age of Lokesh) = 4P + 6

Age of Lokesh = 2P + 3

Present age of Lokesh = 2P + 3 − 6 = 2P − 3

Lokesh celebrated his 5th birthday 8 years ago

So, present age of Lokesh

= 5 + 8 = 13 years

2P − 3 = 13

2P = 16

P = 8 years

23. The sum of ages of committee members (including juniors and seniors) is 360 years. The total ages of juniors and seniors are in the ratio 2:1 and the ages of vice president and president are in the ratio 5:7. What will be the age of president of the committee?

Correct Answer: (e) Data inadequate
Solution:

Data inadequate because number of committee members and numbers of senior and junior is not given.

24. Difference between the ages of Anitha and Rahul is same as the difference between the ages of Rahul and Karthik. If the difference between the ages of Anitha and Karthik is 8 years. If their sum of age is 48, then what are the ratio of ages of three people?

Note: It is given that Anitha > Rahul, Rahul > Karthik

Correct Answer: (c) 5:3:4
Solution:

Anitha − rahul = rahul − karthik

Anitha + karthik = 2 rahul

Anitha − karthik = 7

Anitha + rahul + karthik = 48

2rahul + rahul = 48

rahul = 16

Karthick + 8 + 16 + karthick = 48

2 karthick = 24

Karthick = 12, so anitha = 20

Anitha : karthik : rahul = 5 : 3 : 4

25. If the two digits of the age of Mr. X are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. X is elder than his wife then find the difference between their ages?

Correct Answer: (d) 9 years
Solution:

Let the two digit no be 10x + y, and reverse is 10y + x

(10x + y + 10y + x)/11 = 10x + y − 10y − x

x + y = 9x − 9y

x/y = 5/4

Then diff of two number

= (10x + y) − (10y − x)

= 9x − 9y

Substitute x and y here

= 9(5 − 4) = 9 years

26. Raman’s present age is three times his daughter’s and 9/13 of his mother’s present age. The sum of the present ages of all three of them is 125 yr. What is the difference between the present ages of Raman’s daughter and Raman’s mother?

Correct Answer: (c) 50 years
Solution:

Let Raman's present age = x years

Raman's daughter age = x/3 years

Raman's mother age = 13x/9 years

x + x/3 + 13x/9 = 125

25x = 125 × 9

⇒ x = 45 years

Raman's daughter age = 45/3 = 15 years

Raman's mother age = (13 × 45)/9 = 65 years

Difference between Raman's mother and daughter age

= 65 − 15 = 50 years

27. The ratio of present ages of Akhil and Anil is 7 : 9 and present age of Amit is equal to the average ages of Akhil and Anil after 2 years. If the ratio of present age of Amit and age of Anil after four years is 6 : 7 then what will be the ratio of age of Akhil after four years to that of present age of Amit?

Correct Answer: (a) 13 : 14
Solution:

Let the age of Akhil and Anil be 7x and 9x

Amit (s age) = (7x + 2 + 9x + 2)/2 = 8x + 2

Given,

(8x + 2)/(9x + 4) = 6/7

⇒ x = 5

Akhil = 35

Amit = 42

Anil = 45

Required ratio

= (35 + 4) / 42

= 39/42

= 13 : 14

28. In three more years, Mridul’s grandfather will be six times as old as Mridul was last year. When Mridul’s present age is added to his grandfather’s present age, the total is 68. How old is each one now?

Correct Answer: (b) 11 years
Solution:

Let Mridul's present age be m and Grandfather's present age be g

Then,

m + g = 68 .......... (1)

Mridul's age "last year" was m − 1

His grandfather's age "in three more years" will be g + 3

The grandfather's age three years from now is six times

Mridul's "age last year",
i.e., g + 3 = 6(m − 1) .......... (ii)

Using equation (i) and (ii), we have,

⇒ g + 3 = 6m − 6
⇒ g + 3 = 6(68 − g) − 6  [∵ m = 68 − g]
⇒ g + 3 = 408 − 6g − 6
⇒ g + 3 = 402 − 6g
⇒ g + 6g = 402 − 3
⇒ 7g = 399
⇒ g = 57

Since, m + g = 68,
Then, m = 11

∴ Mridul is presently 11 years old.

29. Meetali and Neeraj got married 30 years ago. Meetali is 4 years younger than Neeraj. When they got married, the difference between 2 times of the Meetali's age and 1.5 times of the Neeraj's age was 5 years. Find the present age of Meetali and Neeraj.

Correct Answer: (e) None of these
Solution:

Before 30 years, Neeraj's age = x years,

Meetali's age = x − 4 years

According to the question,

2(x − 4) − 1.5x = 5

2x − 8 − 1.5x = 5

0.5x = 5 + 8

0.5x = 13

x = 26

Meetali's present age = 26 − 4 + 30 = 52

Neeraj's present age = 26 + 30 = 56

30. The ratio of the ages of Esha and her mother is 1 : 4 and the ratio of the ages of Esha's mother and her brother is 9 : 1. If Esha's brother is 5 years younger than Esha. What will be the age of Esha's mother after 4 years?

Correct Answer: (b) 40 years
Solution:

Esha : her mother = 1 : 4

Her mother : Her brother = 9 : 1

Esha : Her mother : Her brother = 9 : 36 : 4

According to the question,

9x − 4x = 5

5x = 5

x = 1

Esha mother age after 4 years = 36 × 1 + 4 = 40 years