Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 15"

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*[[Mock AIME 1 2006-2007/Problem 14 | Previous Problem]]
*[[Mock AIME 1 2006-2007 Problems/Problem 14 | Previous Problem]]
*[[Mock AIME 1 2006-2007]]
*[[Mock AIME 1 2006-2007]]

Revision as of 14:50, 3 April 2012


Let $S$ be the set of integers $0,1,2,...,10^{11}-1$. An element $x\in S$ (in) is chosen at random. Let $\star (x)$ denote the sum of the digits of $x$. The probability that $\star(x)$ is divisible by 11 is $\frac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Compute the last 3 digits of $m+n$


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