Question

The average weight of three boys P, Q and R is $54\frac{1}{3}$ kg, while the average weight of three boys Q, S and T is 53 kg. What is the average weight of P, Q, R, S and T?

• A. 52.4 kg
• B. 53.2 kg
• C. 53.8 kg
• D. Data inadequate

Answer 1

The correct option is D Data inadequate

Average Weight of P,Q,R = $54\frac{1}{3}$ = $\frac{163}{3}$
Thus, weight of P,Q,R $=163$ kg
Average Weight of Q,S,T $=53$ kg
Thus,Weight of Q,S,T $=159$ kg
Now, Average weight of P,Q,R,S,T $=\frac{\text{Sum(Weight of P,Q,R,S,T)}}{5}$
Since, separate weights of each are not given and cannot be calculated hence data is inadequate.