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Turkish NMO First Round - 1999 P-22 (Number Theory)

Source:

July 3, 2012

Problem Statement

If m,nZ m,n\in Z, then m^{2} \plus{} 3mn \minus{} 4n^{2} cannot be
<spanclass=latexbold>(A)</span> 69<spanclass=latexbold>(B)</span> 76<spanclass=latexbold>(C)</span> 91<spanclass=latexbold>(D)</span> 94<spanclass=latexbold>(E)</span> None<span class='latex-bold'>(A)</span>\ 69 \qquad<span class='latex-bold'>(B)</span>\ 76 \qquad<span class='latex-bold'>(C)</span>\ 91 \qquad<span class='latex-bold'>(D)</span>\ 94 \qquad<span class='latex-bold'>(E)</span>\ \text{None}