Question
Write five numbers which you cannot decide whether they are square just by looking at the unit's digit.

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 have to verify that. Applying these two conditions, we cannot determine whether the following numbers are squares just by looking at their unit digits,
1111, 1001, 1555, 1666 and 1999

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