June 2007, Game 4, Question 22

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Question 22 is another local question, this time a must be true question. So here the if condition they give us as at least a little different than the last time. It says if center three does glass. So right your six spaces, make center three do glass. Remember, center two can never do plastic and now that center three is doing glass, it can't do plastic.

So someone has to do plastic and that's gonna have to be center one. Also remember from our initial discussion, that if center one is going to do something that center two doesn't do, it'll have to be in an extra space that center two doesn't have. Because anytime center two does something it forces center one to do it as well. So that means that center one is going to do plastic in it's extra space.

And it also means we're gonna have to limit center two to just two spaces. Because if we gave center two another space, then it would have to share it with center one, they'd have to do the same thing. Now if you think back to question 20, you'll remember that we have two spaces left. We've already used up our p and g.

We only have w, n and t left. If we get rid of n, we'll also have to get rid of w. That would leave us with only ten, which would be an untenable situation, bad pun. So that means that newsprint n is gonna have to be used in each of the centers one and two. Their extra one, just as we've seen the last two questions, they're both gonna do the same thing.

It'll either be one or ten. Center three will then get whichever one they don't do. So this question is asking, is explicitly, what does center two have to recycle? If we look at our sketch, it's n. It's the only thing center two has to do, so that would be answer choice B. So we pick it and we move on to the next question.

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