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GATE 2016 CE (CE1) – Question 8

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

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

  1. (i) only
  2. (ii) only
  3. (i) and (ii)
  4. neither (i) nor (ii)

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Correct answer: (D) neither (i) nor (ii)

Explanation

The stated comparisons establish P over Q, R over S, and Q over R, while S loses to P only sometimes. They do not establish a player who always beats every other player, nor one who always loses to every other player. In particular, an outcome against one opponent cannot be assumed transitive across all matches. Hence **neither conclusion follows, D**.