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Question

A school has three sections of Class 10. They need to have enough books in the class library so that they can be distributed equally in the three sections . What is the minimum number of books required if the number of students in section A , B and C are 30, 32 and 36 respectively?


A

30

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B

36

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C

288

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D

1440

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Solution

The correct option is D

1440


Number of books required if the number of students in section A , B and C are 30, 32 and 36 is the LCM of 30, 32 and 36

32=2536=22×3230=2×3×5

LCM of 30,32 and 36=25×32×5=1440

Therefore, number of books required = 1440


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