# RMO 2015

Find number of real numbers a such that $$4<a<5$$ and $$a(a-3\lceil{a}\rceil)$$ is an integer here $$\lceil a \rceil$$ represents fractional part of $$a$$.

P.S. i dont know the latex code for fractional part so i used the above symbol. Hope it does not create any confusion

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