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?
- (x - z)2 y is even
- (x - z) y2 is odd
- (x - z) y is odd
- (x - y)2 z is even
- (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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