GATE CSE 2016 Set 1 | Question: GA08

Question

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

• A. (i). only 
• B. (ii) only
• C. (i) and (ii) only'
• D. neither (i) nor (ii)

Comments

means P always beats Q and Q always beats R does not imply that P always beats R from above diagram..

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yes..

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@chirudeepnamini thanks for d explaination..

 

Answer 1

i) is wrong bcz p can be beat threw s  bt 

ii) is correct accn  to me bcz P always beat Q

and R always beat S and  Q always beat R so these P,Q,R always beat some one bt S  never beat any one always so S can be worst player . plz correct me if i did any mistake

Answer 2

Option D

All three can Beat S, but S loses to P only sometimes. So, (ii) can not be inferred from the given statements.

Defeating in Poker is not transitive. P beats Q. Q beats R and R beats S. Yet S loses to P only sometimes, meaning that S mostly wins against P. So we can not logically infer that P is likely to beat R.

Answer 3

Answer is D.

"S loses to P only sometimes" is the main point. Since S loses to P only sometimes, it means S mostly wins against P. Therefore-

• P is not likely to beat all players as P is likely to lose to S.
• S is not the worst player as it beats P mostly.