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MathNet 2022-part-06 — 196 problems (EN–VI) Question 6

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 6

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