Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?
a. y(x-z)² is even
b. y²(x-z) is odd
c. y(x-z) is odd
d. z(x - y)² is even
(x - z)^2 y is even cannot be true.
x is odd and z is even. Therefore, x - z is odd.
And y is odd.
Therefore, (x - z)^2 will be odd and (x - z)^2 y will be odd.
Correct answer is choice (1)
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