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Turkey NMO 2010 1st Round - P18 (Number Theory)

Source:

July 27, 2012

Problem Statement

Which one does not divide the numbers of 500500-subset of a set with 10001000 elements?
<spanclass=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 5<spanclass=latexbold>(C)</span> 11<spanclass=latexbold>(D)</span> 13<spanclass=latexbold>(E)</span> 17 <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 5 \qquad<span class='latex-bold'>(C)</span>\ 11 \qquad<span class='latex-bold'>(D)</span>\ 13 \qquad<span class='latex-bold'>(E)</span>\ 17