Problem:
Aaliyah rolls two standard dice. She notices that the product of the two numbers rolled is a multiple of . Which of the following integers cannot be the sum of the two numbers?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
We can draw a chart of possible rolls. We can simply list down all possible combinations of the two rolls:
Respectively, the sums would be:
Among the choices, only is not a possible sum.
Thus, is the correct answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions