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Divisible by 3,4 but not 5

Source:

December 3, 2005

Problem Statement

How many positive integers not exceeding 2001 are multiple of 3 or 4 but not 5? <spanclass=′latex−bold′>(A)</span> 768<spanclass=′latex−bold′>(B)</span> 801<spanclass=′latex−bold′>(C)</span> 934<spanclass=′latex−bold′>(D)</span> 1067<spanclass=′latex−bold′>(E)</span> 1167 <span class='latex-bold'>(A)</span> \ 768 \qquad <span class='latex-bold'>(B)</span> \ 801 \qquad <span class='latex-bold'>(C)</span> \ 934 \qquad <span class='latex-bold'>(D)</span> \ 1067 \qquad <span class='latex-bold'>(E)</span> \ 1167
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