Question

section B of grade X
В.
1. What is the minimum number of books you will acquire for the class library, so
that they can be distributed equally among students of Section A or Section
B?
a) 144
b) 128
c) 288
d) 272​

Answer 1

Complete Question :- In a school there are 2 sections of class 10. There are 32 students in section A and 36 students in section B. What is the minimum number of books required for their class library so that they can be distributed equally among the students of section A and section B ?

a) 144

b) 128

c) 288

d) 272

Solution :-

→ Total students in section A = 32

→ Total students in section B = 36

so, in order to find the minimum number of book needed for library , we need to find the LCM of students in section A and B .

Prime factors of 32 and 36 is :-

→ 32 = 2 * 2 * 2 * 2 * 2

→ 36 = 2 * 2 * 3 * 3

then,

→ LCM(32,36) = 2 * 2 * 2 * 2 * 2 * 3 * 3 = 32 * 9 = 288 .

therefore, we can conclude that, the minimum number of books required for their class library so that they can be distributed equally among the students of section A and section B are 288 books (c) .

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