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. No human beings are cruel creatures Which of the following can be logically inferred from the above statements? i. P is likely to beat all the three other players in the set ii. S is the worst player in the set A. (i) only B. (ii) only C. Both (i) and (ii) D. Neither (i) nor (ii)

GATE 2016 · General Aptitude · Statements Follow · medium

Answer: D. Neither (i) nor (ii)

1. Evaluate inference i: P likely beats all three: We know P always beats Q (P > Q). But statement iii says S loses to P only sometimes, meaning S beats P at least sometimes. So P does NOT always beat S. Also, there is no information about P vs R. Inference i is false.
2. Evaluate inference ii: S is the worst player: S loses to R always (R > S), and S loses to P sometimes. But S also wins against P sometimes. We have no information about S vs Q. S could be better than Q. So we cannot conclude S is the worst.
3. Conclude: Both inference i and inference ii fail. The correct answer is D: Neither (i) nor (ii).