Question
Write five numbers for which you cannot decide whether they are squares.
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Answer
A number whose unit digit is 2, 3, 7 or 8 cannot be a perfect square. On the other hand, a number whose unit digit is 1, 4, 5, 6, 9 or 0 might be a perfect square (although we will have to verify whether it is a perfect square or not). Applying the above two conditions, we cannot quickly decide whether the following numbers are squares of any numbers,
1111, 1444, 1555, 1666, 1999
1111, 1444, 1555, 1666, 1999
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