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Question

# Arun is instructed to clap every time the count of the instructor reaches a multiple of 3. Varun is instructed to clap every time the count reaches a multiple of 7. They would clap at the same time when the count reaches ___

A

Multiples of 4

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B

Multiples of 10

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C

Multiples of 21

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D

They can never clap at the same time

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Solution

## The correct option is C Multiples of 21 For Arun and Varun to clap together, the count has to be a multiple of both 3 and 7. Taking the LCM of 3 and 7 which is 21. So, they will clap together every time the count reaches a multiple of 21.

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