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1993 AMC 8 Question 23

AMC8 · 1993 AMC 8

Question 23

Five runners, $P,$ $Q,$ $R,$ $S,$ $T,$ have a race, and $P$ beats $Q,$ $P$ beats $R,$ $Q$ beats $S,$ and $T$ finishes after $P$ and before $Q.$ Who could **not** have finished third in the race?
  1. $P$ and $Q$
  2. $P$ and $R$
  3. $P$ and $S$
  4. $P$ and $T$
  5. $P,$ $S$ and $T$