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jmc

number theory junior

Problem

In the product shown, is a digit. The value of is
(A)
(B)
(C)
(D)
(E)
Solution
Note that in any multiplication problem, the only 2 digits that will influence the last digit of the number will be the last digits of each number being multiplied. So, has a units digit of , so is either or . If , then the product is , which is clearly too small, so
Final answer
E