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2012 AMC 10A Problems/Problem 14

Revision as of 21:34, 8 February 2012 by Minimario (talk | contribs) (Created page with "Chubby makes nonstandard checkerboards that have <math>31</math> squares on each side. The checkerboards have a black square in every corner and alternate red and black squares ...")
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Chubby makes nonstandard checkerboards that have $31$ squares on each side. The checkerboards have a black square in every corner and alternate red and black squares along every row and column. How many black squares are there on such a checkerboard?

$\textbf{(A)}\ 480 \qquad\textbf{(B)}\ 481 \qquad\textbf{(C)}\ 482 \qquad\textbf{(D)}\ 483 \qquad\textbf{(E)}\ 484$

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