MathDB
Intersection of Two Sets

Source:

January 12, 2009
floor function

Problem Statement

Let S S be the set of the 2005 2005 smallest multiples of 4 4, and let T T be the set of the 2005 2005 smallest positive multiples of 6 6. How many elements are common to S S and T T? <spanclass=′latex−bold′>(A)</span> 166<spanclass=′latex−bold′>(B)</span> 333<spanclass=′latex−bold′>(C)</span> 500<spanclass=′latex−bold′>(D)</span> 668<spanclass=′latex−bold′>(E)</span> 1001 <span class='latex-bold'>(A)</span>\ 166\qquad <span class='latex-bold'>(B)</span>\ 333\qquad <span class='latex-bold'>(C)</span>\ 500\qquad <span class='latex-bold'>(D)</span>\ 668\qquad <span class='latex-bold'>(E)</span>\ 1001
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