1. If 6 years are subtracted from the present age of Ajay and the remainder is divided by 18, then the present age of Rahul is obtained. If Rahul is 2 years younger to Denis whose age is 5 years, then what is Ajay ‘s present age?

1. 50 years

2. 60 years

3. 55 years

4. 62 years

Answer & Explanation

Answer:- 2

Explanation :-

Present age of Denis = 5 years

Present age of Rahul = 5 – 2 = 3 years

Let present age of Ajay = x years

Therefore, present age of Rahul = (x – 6)/18

[ (x – 6)/18 ] = 3

x – 6 = 18 * 3

x = 60

Ajay ‘s present age = 60 years

2. The ratio of the age of a man and his wife is 4:3. At the time of marriage the ratio was 5:3 and After 4 years this ratio will become 9:7. How many years ago were they married?

1. 8 years

2. 10 years

3. 11 years

4. 12 years

Answer & Explanation

Answer:- 4

Explanation :-

Let the Present age of man = 4x & Present age of his wife = 3x

According to Question, After 4 years

(4x + 4)/ (3x + 4) = 9/7

7(4x + 4) = 9(3x + 4)

x = 8

Therefore , Man’s Present age = 4*8 = 32 his wife’s Present age = 3*8 = 24

His wife’s Present age = 3*8 = 24

Let they were married y years ago , then

(32 – y)/ (28 – y) = 5/3

5(32 – y) = 3(28 – y)

y = 12

3. The product of the ages of Syam and Sunil is 240. If twice the age of Sunil is more than Syam’s age by 4 years, what is Sunil’s age?

1. 16

2. 14

3. 12

4. 10

Answer & Explanation

Answer:- 3

Explanation :-

Let the Age of Shyam = x years & Age of Sunil = y years

According to Question

xy = 240 => x = 240/y

&

2y = x + 4 => 2y = (240/y) + 4

(2y)^2 = 240 + 4y

(y^2) – 2y – 120 = 0

y = 12 or y = -10

Negative value is neglected because age cannot be negative

Therefore Sunil’s present age = 12 years

4. One year ago, the ratio of Sooraj’s and Vimal’s age was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is Vimal?

1. 32

2. 34

3. 36

4. 38

Answer & Explanation

Answer:- 3

Explanation :-

Let Sooraj’s age 1 year ago = 6x and Vimal’s age 1 year ago = 7x

After 4 years, Sooraj’s age = 6x + 5 & Vimal’s age = 7x + 5

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

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

48x + 40 = 49x + 35

x = 5

Vimal’s present age = 7x + 1 = (7*5) + 1 = 36 years

5. The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

1. 10

2. 11

3. 12

4. 13

Answer & Explanation

Answer:- 3

Explanation :-

A + B = 12 + B + C

A – C = 12 + B – B = 12

Therefore, C is younger than A by 12 years