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Question

How many square numbers between 1 and 1000 are divisible by 3?
10
30
31
333

A

30

B

333

C

10

D

31

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Solution

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The square of $1$ to $31$ lies between $1$ to $1000$ .
Out of these numbers $1$ to $31$ only $10$ are divisible by 3.
Thus, their squares will be divisible by 3.

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