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AMC 8 2008 Problem 24

Source:

November 28, 2010
probabilitygeometry3D geometry

Problem Statement

Ten tiles numbered 11 through 1010 are turned face down. One tile is turned up at random, and a die is rolled. What is the probability that the product of the numbers on the tile and the die will be a square?
<spanclass=′latex−bold′>(A)</span> 110<spanclass=′latex−bold′>(B)</span> 16<spanclass=′latex−bold′>(C)</span> 1160<spanclass=′latex−bold′>(D)</span> 15<spanclass=′latex−bold′>(E)</span> 730<span class='latex-bold'>(A)</span>\ \frac{1}{10}\qquad <span class='latex-bold'>(B)</span>\ \frac{1}{6}\qquad <span class='latex-bold'>(C)</span>\ \frac{11}{60}\qquad <span class='latex-bold'>(D)</span>\ \frac{1}{5}\qquad <span class='latex-bold'>(E)</span>\ \frac{7}{30}
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