Important Problem on ages Questions for SBI Clerk, IDBI Executive and SBI PO 2018

 

Q.1 If Somit’s present age is one-third of his father’s present age, and was one fourth the age of his father 5 years ago, then how old will his father be 5 years from now? 

(A) 20 years

(B) 45 years

(C) 40 years

(D) 50 years

(E) None of these

 

Q.2 Meenal got married 6 years ago. Today her age is 1(1/6) times her age at the time of her marriage. At present, her daughter’s age is one-seventh of her age. What was her daughter’s age 2 years ago? 

(A) 6 years

(B) 2 years

(C) 4 years

(D) Cannot be determined

(E) None of these

 

Q.3 The average age of the family of six members is 25 years. If the present age of the youngest member is 12 years, then what was the average age of the family at the time of the birth of the youngest member? 

(A) 21 year

(B) 13 year

(C) 27.6 year

(D) 18 year

(E) 25 year

 

Q.4 The ratio of the ages of Anubhav and Anjali is 5 : 7. The ratio of their ages 10 years hence would be 10 : 13. What is the difference between the present ages of Anjali and Anubhav?

(A) 15 years

(B) 12 years

(C) 8 years

(D) 10 years

(E) 5 years

 

Q.5 The average age of a woman and her daughter is 56 years. The ratio of their ages is 5 : 2. What will be the daughter’s age 8 years hence?

(A) 40 years

(B) 58 years

(C) 42 years

(D) 32 years

(E) None of these

 

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Answer 1. (D) 50 years

Explanation:

Let Somya’s father age = x

Somya’s age = x/3

According to the question,

(x − 5) ×
1
 4
 =
x
 3
 − 5
(x − 5) ×
1
 4
 =
x − 15
     3

3x − 15 = 4x − 60

5x − 4x = 60 − 15

x = 45

 

Answer 2. (C) 4 years

Explanation:

At the time of marriage let Meenal’s age = x years

According to the question,

(x + 6) = x ×
7
 6

6x + 36 = 7x

x = 36

The present age of Meenal = 36 + 6 = 42

The present age of the daughter = 42/7 = 6

Daughter’s age (2 years ago) = 4 years

 

Answer 3. (B) 13 year

Explanation:

Total age of the family of six members = 25 × 6 = 150 years

Total age of the all the family members at the time of the birth of the youngest member = 150 − (12 × 6)

= 150 − 72 = 78

At the time of the birth of the youngest member total member = 6

Average = 78/6 = 13 years

 

Answer 4. (B) 12 years

Explanation:

Let the age of Anjali = 7x, Age of Anubhav = 5x

According to the question,

5x + 10
 7x + 10
 =
10
13

13 (5x + 10) = 10 (7x + 10)

65x + 130 = 70x + 100

70x − 65x = 130 − 100

5x = 30

x = 6

Present age of Anjali = 30

Anubhav = 42

Difference = 42 − 30 = 12 years

 

Answer 5. (A) 40 years

Explanation:

Let the age of daughter = 2x

The age of woman = 5x

Total age of Daughter and Woman = 56 × 2 = 112

According to the question,

2x + 5x = 112

7x = 112

x = 16

Daughter’s age = 32

Daughter’s age will be 8 years hence = 32 + 8 = 40 years

 

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