Let us assume the present age of son be x then present of Deepak be 3x.

Correct Option: C

Let us assume the present age of son be x then present of Deepak be 3x.
Five years hence, the ratio of their ages will be 34 : 13 respectively.
then according to question,
(3x + 5)/(x + 5) = 34/13
⇒ (3x + 5) 13 = 34 (x + 5)
⇒ 39x + 65 = 34x + 170
⇒ 5x = 105
∴ x = 21
Hence, present age of Deepak = 3x = 3 x 21 = 63

Let the present ages of mother and her daughter are ( x + 25 ) and x years respectively .

Correct Option: D

Let the present ages of mother and her daughter are ( x + 25 ) and x years respectively ;
then Five years ago, the age of the mother was 6 times the age of the daughter.
6( x - 5 ) = x + 25 - 5
⇒ 6x - 30 = x + 20
⇒ 5x = 50
∴ x = 10
Hence, the age of the mother = 10 + 25 = 35 years

Let us assume the present ages of P and Q be (x + 4) and x years;

Correct Option: D

Let us assume the present ages of P and Q be (x + 4) and x years;
then, According to question,
( x + 4 + 5 )/ (x + 5) = 9/8
⇒ 8x + 72 = 9x + 45
∴ x = 27
Hence, present age of P = 27 + 4 = 31 years

Let us assume that present age of son is P years then his father's present age will be 3P.

Correct Option: C

Let us assume that present age of son is P years then his father's present age will be 3P.
According to question,
Five years ago, father's age was four times the age of the son.
Then
4 (P - 5) = 3P - 5
⇒ 4P - 20 = 3P - 5
∴ P = 15 years
The present age of Son is 15 Years.

Let the present ages of Shami, Nammi and pammi are 3x, 4x and 5x years respectively;

Correct Option: B

Let the present ages of Shami, Nammi and pammi are 3x, 4x and 5x years respectively;
then, According to question,
3x + 4x + 5x = 48
⇒ 12x = 48
∴ x= 4
Hence, their present ages are 12, 16 and 20 years respectively.
So, required ratio = (12 + 8) : (16 + 8) : (20 + 8) = 20 : 24 : 28 = 5 : 6 : 7