Question

There are three sections of class VI in school.In Section A there are 35 students, in B there are 40 students and in C there are 25 student.Find the minimum number of books required for the class library for equal distribution in Sections A, B and C.​

Answer 1

Answer:

Correct option is

C

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=2

5

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

36=2

2

×3

2

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

LCM(32,36)=2

5

×3

2

=288

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