###
**The average age of 30 students in a class is 15 years. If 6 students of this class have the average age of 16 years, then the average age of the remaining 24 students would be-
**

A. 14 yrs
B. 14 yrs 3 mths
C. 14 yrs 6 mths
D. 14 yrs 9 mths
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}\text{Sum of the ages of 24 students}\\
\text{= (15 × 30) – (16 × 6)}\\
\text{= 450 – 96}\\
\text{= 354}\\
\text{∴ Required average}\\
=\left(\Large\frac{354}{24}\right)\\
=14\frac{3}{4}\ \text{years}\\
=14\ \text{yrs}\ 9\ \text{months}\end{array}$

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