MathDB
Counting Multiples of 3 or 4

Source:

January 14, 2009

Problem Statement

How many numbers between 1 1 and 2005 2005 are integer multiples of 3 3 or 4 4 but not 12 12? <spanclass=′latex−bold′>(A)</span> 501<spanclass=′latex−bold′>(B)</span> 668<spanclass=′latex−bold′>(C)</span> 835<spanclass=′latex−bold′>(D)</span> 1002<spanclass=′latex−bold′>(E)</span> 1169 <span class='latex-bold'>(A)</span>\ 501\qquad <span class='latex-bold'>(B)</span>\ 668\qquad <span class='latex-bold'>(C)</span>\ 835\qquad <span class='latex-bold'>(D)</span>\ 1002\qquad <span class='latex-bold'>(E)</span>\ 1169
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