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You are here: Home   XAT, TANCET Free Questions  Number Properties   Odd and Even numbers Question 4

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.


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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