June 2007, Game 4, Question 23

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Question 23, another local question. This time a local if condition paired with a partial solution question. So a solution question asks for a complete setup of the game, everybody in place. A partial solution question shows you just part of the game. So here just one of the centers is listed. And weirdly, they don't even tell us which one, just of them.

But still, because it's a local question, we're going to start out by building a sketch, with the new condition in place. So the new condition here is if center one is the only one that does wood. As we learned in the setup and in question 22, if center 1 is gonna do something by itself, it'll have to be in a third space that 2 doesn't share. Now, according to rule one if you do wood, you have to do newsprint.

So center one will do newsprint and so will center two, because we only have shared spaces left. We don't have room for center one to go solo anymore. We also know that center three is gonna have to do plastic, because the only spaces we have left in center one and two are shared. And since center three is doing plastic, somebody has to do glass.

That'll be centers one and two. And now if we look at it, we've use n, p, g and w, but we have not used t. Everything has to get used, so center three will do tin. Center three could do an extra newsprint if it wanted, but we don't know for sure that it does. So don't write that in, just leave it at p and t and then go look at the answer choices.

So the question wants a complete list of things that one of the center's could recycle. Notice that all the answer choices are just two items long. So if a center is doing two things, it'll either be center two doing n and g, or center three doing p and t. P and t is answer choice A.

So that's the one that we know could work. We're gonna pick that and move on.

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