MathDB
AMC 8 2008 Problem 22

Source:

November 28, 2010

Problem Statement

For how many positive integer values of nn are both n3\frac{n}{3} and 3n3n three-digit whole numbers?
<spanclass=′latex−bold′>(A)</span> 12<spanclass=′latex−bold′>(B)</span> 21<spanclass=′latex−bold′>(C)</span> 27<spanclass=′latex−bold′>(D)</span> 33<spanclass=′latex−bold′>(E)</span> 34<span class='latex-bold'>(A)</span>\ 12\qquad <span class='latex-bold'>(B)</span>\ 21\qquad <span class='latex-bold'>(C)</span>\ 27\qquad <span class='latex-bold'>(D)</span>\ 33\qquad <span class='latex-bold'>(E)</span>\ 34
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