Understanding Properties of an AP from Its Algebraic Expression
Arun is instr...
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. LCM of 3 and 7 which is 21. So, they will clap together every time the count reaches a multiple of 21.