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

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Solution

The correct option is C
3

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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500

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1000 ?

Which of the following numbers is a perfect square as well as a perfect cube?

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