Squares and Square Roots — Maths STD 8 — Question

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