Question

In a school there are two sections - section A and section B of class X. There are 32 students in section A and 36 students in section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students of section A or section B. [4 MARKS]

Answer 1

Concept : 1 Mark
Application :1 Mark
Calculation : 2 Mark

The books are to be distributed equally among the students of section A or section B.

$\therefore$ Number of books must be a multiple of 32 as well as 36.

$\Rightarrow$ Required number of books is the LCM of 32 and 36.

We have,

$32=2^5$

$36=2^2\times 3^2$

$\therefore$ LCM of 32 and 36 is $2^5\times 3^2=288$

Hence, required number of books is 288.