Rule 3 - There is no G player ranked higher than L.
Rule 4 - If M plays G, then P and S play G and P ranks lower than M but higher than S.
MG --> PG and SG Not PG or Not SG --> Not MG
M > P > S
Rule 5 - If M plays T, then S plays T and S ranks lower than O but higher than M.
MT --> ST Not ST --> Not MT
O > S > M
Rule 6 - If P plays T, then K plays T and O ranks lower than K but higher than P.
PT --> KT Not KT --> Not PT
K > O > P
So far, we have three different possible scenarios.
Option 1 - M plays G.
G: L > M > P > S T: O Unknown: K
Option 2 - M plays T.
G: L T: O > S > M Unknown: P & K
Option 3 - P plays T.
G: L T: K > O > P Unknown: M & S
Now that we have our diagram and a few possible scenarios outlined, let's go through our answer choices.
We can eliminate answer choice (A) because Rule 5 tells us that if M plays T, then S must play T.
We can eliminate answer choice (B) because Rule 6 tells us that if P plays T, then K must play T.
We can eliminate answer choice (D) because of Rule 6 and Option 3 outlined above. We know that if P plays T, then K plays T and the players must be ranked as follows: K > O > P.
We can eliminate answer choice (E) because of Rule 5 and Option 2 outlined above. We know that if M plays T, then S must play T and the players must be ranked as follows: O > S > M.
Therefore, answer choice (C) should be our correct answer but let's double check. Remember that the correct answer will be a scenario which "could be true" i.e. we just need to outline one possible scenario where it is true.
T: K > O or O > K G: L > M > P > S
Notice that this meets all of our rules.
1) O plays T. 2) L plays G. 3) There is no G player ranked higher than L. 4) M, P, and S play G with P ranking lower than M but higher than S. 5) This rule is irrelevant because M plays G. 6) This rule is irrelevant because P plays G.
Hope this helps! Please let us know if you have any further questions.
