Which of the following numbers is not a perfect square?

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256

512

1024

1026000

answer is B.

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Detailed Solution

The given numbers are 512, 1026000, 256 and 1024.
It is required to find which of the given numbers is not a perfect square.
We know that,
The digits 0, 1, 4, 5, 6, or 9 may come at the unit’s place of the perfect square number.
The numbers 2, 3, 7, or 8 could come at the unit’s place of the imperfect square number.
In the given options,
The number 512 is not a perfect square because it has a 2 in its unit position.
The numbers 256, 1024 and 1026000 have 6, 4 and 0 at its unit’s place and hence these numbers are perfect squares.
Therefore, 512 is not a perfect square.
Hence, option 2 is correct.

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