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Question

Arun was instructed to clap every time the count of the instructor reaches a multiple of 3. How many times did he clap when the count reached 63

A
19
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B
20
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C
21
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D
22
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Solution

The correct option is C 21
The counts at which he claps forms an AP with the first term as 3 and the common difference as 3.
Now, nth term of the AP = 3 + (n-1)3 = 3n when the count reaches 63,
3n = 63, or n = 21
Hence, Arun would have clapped 21 times.

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