The correct option is C A number ending with even number of zeros.
Unit place of any number's square will have 1, 4, 9, 6, 5 or 0. In other words, the unit places of squares will never be 2, 3, 7, 8.
Also, the square of a number having zeros in the end will always have an even number of zeros in it.
For example,
4002=160000
It should be noted that even number of zeroes could be a perfect square. However, this is not necessary. For example, 2600 is not a perfect square.