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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
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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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