MathDB
Perfect Squares

Source:

January 15, 2009

Problem Statement

Which of the following numbers is a perfect square? <spanclass=′latex−bold′>(A)</span> 98!⋅99!<spanclass=′latex−bold′>(B)</span> 98!⋅100!<spanclass=′latex−bold′>(C)</span> 99!⋅100!<spanclass=′latex−bold′>(D)</span> 99!⋅101!<spanclass=′latex−bold′>(E)</span> 100!⋅101! <span class='latex-bold'>(A)</span>\ 98!\cdot 99!\qquad <span class='latex-bold'>(B)</span>\ 98!\cdot 100!\qquad <span class='latex-bold'>(C)</span>\ 99!\cdot 100!\qquad <span class='latex-bold'>(D)</span>\ 99!\cdot 101!\qquad <span class='latex-bold'>(E)</span>\ 100!\cdot 101!
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