MathDB
Multiple Counting

Source:

January 1, 2009
floor functionsearchLaTeXprobability

Problem Statement

How many positive integers not exceeding 2001 2001 are multiples of 3 3 or 4 4 but not 5 5? <spanclass=latexbold>(A)</span> 768<spanclass=latexbold>(B)</span> 801<spanclass=latexbold>(C)</span> 934<spanclass=latexbold>(D)</span> 1067<spanclass=latexbold>(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