Group Games Questions - - Question 14

Each of the following could be the lowest-ranking tennis player EXCEPT:

DonChris December 27, 2018

A little assistance please!

Why wouldn't Oliver be the answer? It's literally the same set up K>o>p vs O>s>m I chose o or Oliver instead of S. Why would that be wrong? Is it because of the floater O?

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Ravi December 27, 2018

@DonChris,

Great question. Oliver could be the lowest ranking tennis player in this game board:

G T

M K
P O
S

In the above game board, K is a floater and could be placed either before or after O or somewhere in the Golf category under L. This game board shows us that O can be the lowest-ranking tennis official, so we can eliminate this answer.

Shigeru, however, can never be the lowest-ranking tennis player. We know this from the two rules that have to deal with M and S (and other players)

The first rule says that if M is in G, then M-P-S in G, with M higher than P and P higher than S.

M in G - >M - P - S

The second rule says that if M is in T, then O-S-M in T, with O higher than S and S higher than M.

M in T - >O - S - M

This game can be split into boards in which M is in either G or T. If M is in G, then S can't even be a tennis player. However, when M is in T, then S must be between O and M. Because of this, S can never be the lowest-ranking tennis player.

Does this make sense? Let us know if you have more questions!

Samirah August 25, 2020

I'm confused about the logic used to answer this question. Why is it assumed that M and S are playing tennis even though that is a conditional similar to that used for P and K? In rule 5 (Mt -> St), I thought that S being the necessary condition means that S could play tennis without M, which which would cause O to rank first and S to rank second if they were the only ones playing tennis.
I also just recognized that the contrapositive of rule 5 means that M and S must both either play tennis or not play tennis, but I interpreted the contrapositive as Sg -> Mg.... is this uncalled for?