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Q.

Which of the following numbers cannot be a perfect square?

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a

441

b

198

c

676

d

121

answer is B.

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Detailed Solution

The given numbers are 441, 198, 676 and 121.
It is required to find which of the given number is not 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 198 is not a perfect square because it has 8 in its unit position.
The number 441, 676 and 121 has 1, 6 and 1 at its unit’s place and hence these numbers are perfect squares.
Therefore, 198 is not a perfect square.
Hence, option 2 is correct.

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Which of the following numbers cannot be a perfect square?