Number Systems : Odd and Even Numbers : Quant Question

This question is a Number Systems question. Explains concepts on odd and even numbers and operations on these numbers.

Question

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?

1. (x - z)² y is even
2. (x - z) y² is odd
3. (x - z) y is odd
4. (x - y)² z is even
5. (x + y)³ z is even

Correct Answer - (x - z)² y is even. Choice (1)

Explanatory Answer

(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)

Level of difficulty : Easy to Moderate

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