GATE 2016 CS – Question 8
Consider the following statements relating to the level of poker play of four players P, Q, R and S.
I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q
Which of the following can be logically inferred from the above statements?
(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set
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Correct answer: (D) neither (i) nor (ii)
Explanation
Statement III says S beats P at least some of the time, so P does not reliably beat every other player, and (i) cannot be inferred. We know Q beats R and R beats S, but S sometimes beats P, so S is not necessarily worse than P and Q. That means (ii) also cannot be inferred.