There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed?

A. 24

B. 32

C. 16

D. 20

E. None of these

Answer: Option C

Solution(By Examveda Team)

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
448 = 2 × 2 × 2 × 2 × 2 × 2 × 7
HCF = 2 × 2 × 2 × 2 × 2 × 2 = 64
Hence, number of classes required
$$\frac{{576}}{{64}} + \frac{{448}}{{64}}$$
= 9 + 7
= 16

Shortcut:
The numbers (3 × 3) and 7 are not a part of HCF. And sum of multiplication of these number is the required answer.