Mock AIME 5 2005-2006 Problems/Problem 13

Problem

Let $S$ be the set of positive integers with only odd digits satisfying the following condition: any $x \in S$ with $n$ digits must be divisible by $5^n$ . Let $A$ be the sum of the $20$ smallest elements of $S$ . Find the remainder upon dividing $A$ by $1000$ .

Mock AIME 5 2005-2006 (Problems, Source)
Preceded by Problem 12	Followed by Problem 14
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15

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Mock AIME 5 2005-2006 Problems/Problem 13

Contents

Problem

Solution

Solution

See also