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June 2007, Game 4, Question 22

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Transcript

Question 22 is another local question, this time a must be true question. So here the if condition they give us is at least a little different than last time. It says if Center 3 does glass. So write your six spaces, make Center 3 do glass. Remember, Center 2 can never do plastic and now that Center 3 is doing glass, it can't do plastic.

So someone has to do plastic, and that's gonna have to be Center 1. Also, remember from our initial discussion that if Center 1 is gonna do something that Center 2 doesn't do, it'll have to be in an extra space that Center 2 doesn't have. Because anytime Center 2 does something, it forces Center 1 to do it as well. So that means that Center 1 is going to do plastic in its extra space.

It also means we're gonna have to limit Center 2 to just two spaces. Because if we gave Center 2 another space, then it would have to share it with Center 1, they 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 tin 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 1 and 2. They're extra 1 just as we've seen the last two questions. They're both going to do the same thing, it'll either be wood or tin.

Center 3 will then get whichever one they don't do. So that means the correct answer here, what does Center 2 have to do? Would be answer choice B, newsprint. Now, why is it not the other things? Well, we know it can't be glass, because if it did glass then Center 1 would do glass, and then everybody would be doing glass.

And there would be nowhere for the plastic to go. It can't be plastic, because you only get one plastic. And plastic is hanging out in Center 1. It could be tin, but it doesn't have to be. And it could be wood, but it doesn't have to be. And this question is asking about what must be true.

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