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Consider the following statements relating to the level of poker play of four players $P, Q, R$ and $S$.

  1. $P$ always beats $Q$
  2. $R$ always beats $S$
  3. $S$ loses to $P$ only sometimes
  4. $R$ always loses to $Q$

Which of the following can be logically inferred from the above statements?

  1. $P$ is likely to beat all the three other players
  2. $S$ is the absolute worst player in the set
  1. (i) only
  2. (ii) only
  3. (i) and (ii)
  4. neither (i) nor (ii)
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