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Question

In a school there are two sections of class X - section A and section B 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

A
258
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B
268
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C
288
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D
298
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Solution

The correct option is B 288
It is given that there are 32 students in section A and 36 students in section B.

To determine the minimum number of books required to distribute equally among students of section A and section B, we need to find the LCM of 32 and 36.

To find the LCM, we find the prime factors of 32 and 36 as follows:

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32=25

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36=22×32

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 36, we have:

LCM(32,36)=25×32=288

Hence, the minimum number of books required to distribute equally among students of section A and section B are 288.

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