How many numbers are there from 1 to 1000 which are perfect squares as well as p

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How many numbers are there from 1 to 1000 which are perfect squares as well as perfect cubes?

Options:

A . 1

B . 2

C . 3

D . > 3

Answer: Option C
:
C
The number should be of the form

a^{6}

, where 6 is the LCM of 2 and 3.
The required numbers are

1^{6}, 2^{6}

and

3^{6}

.

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