The average wieght of 5 boys -P,Q,R, S and T - is 33 kg. Who is the haviest among these five boys ?
I the sum of the weights of P and R is 55 kg
II. The sum of the weights of Q and T is 50 kg

Options

A. If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.
B. If the question can be answered using either statement alone.
C. If the questions can be answered using I and II together but not using I or II alone
D. If the question cannot be answered even using I and II together.

Answer

C

Explanation

Let the weight of P,Q,R,S and T be p,q,r s and t respectively from statements I.
p+r=55
As we don.t know the wieghts of remaining boys, statements, I alone is not sufficient.
From statements II, q+t=50.
Statements II alone is also not sufficient as the wieght of p,q,r and s are n ot known.
Using both the statements.
`p+q+r+s+33xx5)`
`55+50+s=165 rArr a=60`
So S is true heavies among the live boys