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Source: 2024 AMC 8 P5

January 25, 2024
amc82024 AMC 8AMCAMC 8

Problem Statement

Aaliyah rolls two standard 6-sided dice. She notices that the product of the two numbers rolled is a multiple of 6. Which of the following integers cannot be the sum of the two numbers?
<spanclass=latexbold>(A)</span>5<spanclass=latexbold>(B)</span>6<spanclass=latexbold>(C)</span>7<spanclass=latexbold>(D)</span>8<spanclass=latexbold>(E)</span>9<span class='latex-bold'>(A) </span> 5\qquad<span class='latex-bold'>(B) </span> 6\qquad<span class='latex-bold'>(C) </span> 7\qquad<span class='latex-bold'>(D) </span> 8\qquad<span class='latex-bold'>(E) </span> 9