CAT Quant Practice Problems

Question: Given odd positive integers x, y and z, which of the following is not necessarily true?

\({x^2}{y^2}{z^2}\) is odd
\(3\left( {{x^2} + {y^3}} \right){z^2}\) is even.
\(5x + y + {z^4}\) is odd
\({z^2}\left( {\frac{{{x^2} + {y^2}}}{2}} \right)\) is even
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