Question

3. Portion of a line Q9. In a school there are two sections, Section A and Section B of Class VI. There are 38 students in Section A and 36 in Section B. Determine the minimum number of books required for their class library so that they can be distributed equally among students Section A or Section B.​

Answer 1

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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.

@Vikranthan.