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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