###
**The average weight of three boys A, B and C is $54 \Large\frac{1}{3}$ kg, while the average weight of B, D and E is 53 kg. What is the average weight of A, B, C, D and E?
**

A. 52.4 kg
B. 53.2 kg
C. 53.8 kg
D. Data inadequate
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Total weight of (A + B + C)}\\
=54\frac{1}{3}\text{ × 3 kg}\\
\text{= 163 kg}\\
\text{Total weight of (B + D + E)}\\
\text{= (53 × 3) kg}\\
\text{= 159 kg}\\
\text{Adding both, we get:}\\
\text{= A + 2B + C + D + E}\\
\text{= (163 + 159) kg}\\
\text{= 322 kg}\end{array}$
So, to find average weight of A, B, C, D and E, we ought to know B’s weight, which is not given.
So, the data is inadequate.

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