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2022 AIME II Question 8

AIME · 2022 AIME II

Question 8

Find the number of positive integers $n \le 600$ whose value can be uniquely determined among all positive integers when the values of $\left\lfloor \frac{n}{4} \right\rfloor,$ $\left\lfloor \frac{n}{5} \right\rfloor,$ and $\left\lfloor \frac{n}{6} \right\rfloor$ are given, where $\lfloor x \rfloor$ denotes the greatest integer less than or equal to the real number $x.$