Difference between revisions of "2014 AMC 8 Problems/Problem 13"
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| − | + | If <math>n</math> and <math>m</math> are integers and <math>n^2+m^2</math> is even, which of the following is impossible? | |
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| + | <math>\textbf{(A) }n and m are even \qquad\textbf{(B) }n and m are odd \qquad\textbf{(C) }n+m is even \qquad\textbf{(D) }n+m is odd \qquad \textbf{(E) } none of these are impossible</math> | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2014|num-b=12|num-a=14}} | {{AMC8 box|year=2014|num-b=12|num-a=14}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 18:37, 26 November 2014
If 
and 
are integers and 
is even, which of the following is impossible?
See Also
| 2014 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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