#3 - Local

[Administrator]

Complete Question Explanation

The correct answer choice is (C).

Answer choice (A):

Answer choice (B):

Answer choice (C): This is the correct answer choice.

Answer choice (D):

Answer choice (E):

This explanation is still in progress. Please post any questions below!

[karanarnoldrelan]

Could you please explain why is D wrong?

[Adam Tyson]

If they both go to Montreal, karanarnoldrelan, then they also must both go to Toronto. That leaves room for each of them to visit just one more city, and between the two of them they have to visit both Houston and Seattle, since every city must be visited. So one of them will visit Seattle, and the other will visit Houston.

If Frank visits Houston, he must also visit Seattle sometime later, per the third rule. There's no way Frank can do that in this case, so he cannot visit Houston, and his other city must be Seattle, either first or last. That means Gloria has to be the one to visit Houston, either first or last, and she cannot in this case also visit Seattle. That's why D is impossible.

Here are the possible solutions for this question:

F: SMT or MTS
G: HMT or MTH

Using these diagrams, answer C should be clear, while the others are all ruled out. It's that third rule that kicks in to get us here.