Question

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. none of these

Answer 1

The correct option is C $16$

$576=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$
$448=2\times 2\times 2\times 2\times 2\times 2\times 7$
HCF $=2\times 2\times 2\times 2\times 2\times 2=64$

Hence the number of classes required,
$=\left(\frac{576}{64}\right)+\left(\frac{448}{64}\right)$

$=9+7=16$