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Australian AMC 2012 - Junior Question 20

AMC AUSTRALIA · Australian AMC 2012 - Junior

Question 20

Four points $P$, $Q$, $R$ and $S$ are such that $PQ=10$, $QR=30$, $RS=15$ and $PS=m$. If $m$ is an integer and no three of these points lie on a straight line, what is the number of possible values of $m$?
  1. 5
  2. 49
  3. 50
  4. 54
  5. 55