1.  The sum of the age of P, Q and R is 96 years. What is the age of Q ? 

I. P is 6 years older than R. 

II. The total of the ages of Q and R is 56 years.

A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. Both I and II are not sufficient to answer
E. Both I and II are necessary to answer

Answer: Option E

Explanation:

Given : P + Q + R = 96 …(i)

I.  P = R + 6 …. (ii)
II. Q + R = 56 ….. (iii)

On subtracting (iii) from (i), we get P = 40.

Putting P = 40 in (ii), we get R = 34.

Putting R = 34 in (iii), we get Q = 22.

Thus, I and II both together give the answer. So, correct answer is (E).