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2011 AMC 10A Question 25

AMC10 · 2011 AMC 10A

Question 25

Let $R$ be a square region and $n \geq 4$ an integer. A point $X$ in the interior of $R$ is called *$n$-ray partitional* if there are $n$ rays emanating from $X$ that divide $R$ into $n$ triangles of equal area. How many points are $100$-ray partitional but not $60$-ray partitional?
  1. $1500$
  2. $1560$
  3. $2320$
  4. $2480$
  5. $2500$