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Option 4 : neither (i) nor (ii)

Using the ‘>’ to imply the winner in encounters between the two, we can conclude the following from the given statements:
I. P > Q
II. R > S

III. S > P (only sometimes = more likely to win).
IV. Q > R
Based on this, we can analyse the given statements:
i) P is likely to defeat the other players is not true, as P tends to lose to S, and we cannot determine the performance against R.
ii) S is the worst player amongst the lot is always untrue as S tends to defeat P in most encounters.

Hence neither statement (i) nor (ii) can be logically inferred from the given statement.
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