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2024 AMC 8 Problems/Problem 5: Difference between revisions

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==Video Solution 1(easy to digest) by Power Solve==
==Video Solution 1 (easy to digest) by Power Solve==
https://youtu.be/HE7JjZQ6xCk?si=2M33-oRy1ExY3_6l&t=239
https://youtu.be/HE7JjZQ6xCk?si=2M33-oRy1ExY3_6l&t=239

Revision as of 15:56, 25 January 2024

Problem

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?

$\textbf{(A) } 5\qquad\textbf{(B) } 6\qquad\textbf{(C) } 7\qquad\textbf{(D) } 8\qquad\textbf{(E) } 9$

Solution 1

Using the process of elimination, we can find the following: A is possible: $2*3$ C is possible: $1*6$ D is possible: $2*6$ E is possible: $3*6$ So therefore, the only integer that cannot be the sum is $(B) \boxed{6}$. -ILoveMath31415926535

Video Solution 1 (easy to digest) by Power Solve

https://youtu.be/HE7JjZQ6xCk?si=2M33-oRy1ExY3_6l&t=239

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