Setup and Rule Diagrams

[LSAT2018]

I`ve arrived at the inference from the rule If H is on a team, K must be the organizer.
H (Team) → K (Organizer)
Because this is a two-value system, the contrapositive can be:
K (Team) → H (Organizer)

So given the statements above, either H or K must be the organizer, and no other person would be able to do so. This could be related to the other rules such as If G is on a team, either H or I must also be on that team. G cannot be the organizer.


Would this be correct? Are there any other important inferences needed before I solve the questions?

[Adam Tyson]

Absolutely correct! That means one of the teams has G paired with either H or I, so H and I can never be together. That also means that M is on one of the other two teams and P is on the other, since they cannot be together and neither can be the Organizer. And finally, since L cannot be the organizer, L must be paired with either M or P. Those inferences will answer several of the questions! Good job, LSAT2018!

While hypothetical solutions are not absolutely required in order to do well on this game, there is a powerful one lurking there for you to scoop up if you try it. What if H is the Organizer?

When that happens, K is on a team, and must be paired with M per the second rule.

L must therefore be with P, per those inferences.

G must be with I, because H is not on a team.

H as Organizer solves the entire game! Whoo-hoo!

Sadly, K as Organizer isn't quite so sexy, as it leaves us with many possible combinations. Still, not a bad way to start your attack on the questions, right?