2012 AIME II Problems/Problem 10

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Problem 10

Find the number of positive integers $n$ less than $1000$ for which there exists a positive real number $x$ such that $n=x\lfloor x \rfloor$.

Note: $\lfloor x \rfloor$ is the greatest integer less than or equal to $x$.


Solution

See also

2012 AIME II (ProblemsAnswer KeyResources)
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Problem 9
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Problem 11
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