To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two Sections - Section A and Section B of grade X. There are 32 students in Section A and 36 students in Section B. Q

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Solution

Q.
To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two Sections - Section A and Section B of grade X. There are 32 students in Section A and 36 students in Section B.

Q: 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

1 144

2 128

3 288

4 272

Ans.
(3)

Explanation: LCM of 32 and 36; $32 = 2^{5}$ ; $36 = 2^{2} \times 3^{2}$

$∴$ LCM = $2^{5} \times 3^{2}$ = 288

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