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(1) y^2 - z = 0 or y^2 = z
This tells us that z is a non negative integer, but we cannot say anything about y.
Here y will be an integer if z is a perfect square, else not. Insufficient.

(2) y is not equal to 1. This doesnt tell us whether y is an integer or not. Insufficient.

Combining the two statements, y=√z and y is not equal to 1. Still there are multiple possibilities. We can have z=9, then y can take two values: 3 or -3 (integer values). But if z =8, then y = √8 or -√8 (non integer values). So insufficient.

Hence E answer
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