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? | 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? | ||
− | <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>\textbf{(A) }</math><math>n</math> and <math>m</math> are even <math>\qquad\textbf{(B) }</math><math>n</math> and <math>m</math> are odd <math>\qquad\textbf{(C) }</math><math>n+m</math> is even <math>\qquad\textbf{(D) }</math><math>n+m</math> is odd <math>\qquad \textbf{(E) }</math> none of these are impossible |
==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 18:39, 26 November 2014
If and are integers and is even, which of the following is impossible?
and are even and are odd is even is odd none of these are 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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