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If x, y, and z are consecutive integers in that order, which of the following ... ...

If x, y, and z are consecutive integers in that order, which of the following must be true?

I.   xy is even.  
II.   x − z is even.
III.   xz is even.


(A)    I only
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set F: Number Theory

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Posted: 05/14/2012 16:24
-1-1=0 and zero isn't considered even
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Posted: 05/16/2012 09:59
There is a lengthy Wikipedia article that discusses the evenness of 0. http://en.wikipedia.org/wiki/Parity_of_zero
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