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Complete Question Explanation
(The complete setup for this game can be found here: lsat/viewtopic.php?t=33051)
The correct answer choice is (B).
If T hosts two meetings, then we know that T hosts in both semesters and that T is the sole doubled city; every other city can then appear only a single time. Thus, T occupies a spot in each semester, and then M and V must each host in a different semester to satisfy the third rule. This leaves H and O to rotate between semesters as well:
- _H/O_ _O/H_
Since M and V are split, look at the two possibilities that exist when M hosts in the fall, and then when V hosts in the fall:
Solution #1: T hosts twice, M hosts in the fall
Under this scenario, each of the first two rules is already satisfied no matter where H and O are placed. Thus, H and O can continue to rotate. This scenario does allow us to prove answer choice (B) correct, however, since M and O both hosts meetings in the fall.
- _H/O_ _O/H_
Solution #2: T hosts twice, V hosts in the fall
Just for academic purposes, let's look at the other scenario. In this case, H cannot host in the fall since from the first rule that would force M to host in the fall, which cannot occur here. Thus, H must host in the spring, leaving O to host in the fall.
- __O__ __H__
Answer choice (A): H and V cannot both host meetings in the fall since there is no way for M to also host a meeting in the fall per the first rule.
Answer choice (B): This is the correct answer choice. As shown in Template #1 above, M and O can both host meetings in the fall.
Answer choice (C): This answer choice is incorrect because M and V cannot host in the same semester in this question due to the combination of the numerical constraints and the third rule.
Answer choice (D): M and O cannot both host meetings in the spring since that forces H to host in the fall, and then there is no way for M to also host a meeting in the fall per the numerical limitations in this question.
Answer choice (E): This answer choice is incorrect because M and V cannot host in the same semester in this question due to the combination of the numerical constraints and the third rule.
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