Discussion
If x, y, and z are consecutive integers in that order, which of the following must be true?
*This question is included in Nova Math - Problem Set F: Number Theory, question #16
I. xy is even.
II. x − z is even.
III. xz is even.
| (A) | I only |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 05/14/2012 16:24
-1-1=0 and zero isn't considered even
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