#5 - Local, Must Be True

[Dave Killoran]

Complete Question Explanation
(The complete setup for this game can be found here: viewtopic.php?f=385&p=94172)

The correct answer choice is (D)

Because F is a technician, only the 1-1-3 distribution allows F to be supervised by the president. Hence, answer choice (D) is correct.

[Paul Marsh]

This is a Local Must be True question. It gives us the new rule that F is supervised by the president. Two of our inferences that we made during Setup help us with this question. First, our inference that F must be a technician. Second, our inference that in the 1-2-2 distribution, each of the 2 managers supervises one of the 2 technicians (and therefore in that distribution it is not possible for the president to supervise a technician, since the technicians are all "claimed" by the managers). These two inferences can be combined with our new rule to say that we must be in the 1-1-3 distribution (since because F is a technician he can only be supervised by the president if we are in the 1-1-3 distribution).

In our 1-1-3 distribution, G can be either the manager or the president. So other than F, we can't say definitively place any variables. And since this is a Must be True question, we're only interested in what we can definitively say for sure; so we know that (A), (B), and (C) aren't going to be our answers. So we're left with (D) and (E), which ask about the numeric distribution of the game. Again, since we know that we're in the 1-1-3 distribution, (D) has to be our answer.