by ManhattanPrepLSAT2 Thu Oct 07, 2010 4:45 pm
I've attached a diagram for this game --
The big inference to be made up front is that there must be dance songs played 1,3,5 and 7.
The unless constraint is a tough one to translate --
"F must be played immediately after R, unless G is played earlier than R."
One tip for when you are stuck trying to correctly understand a tough conditional -- try to start by just thinking of the one thing you know MUST BE TRUE.
One thing that must be true, according to what we are told, is that if G is not played before R (that is, if R is played before G), F must be immediately after R. We know that with certainty, so we can notate it:
R - G -> RF
Now we can take the contrapositive -
- RF - > G - R.
Now for the questions -
#19 is an orientation q - we can eliminate answers based on constraints:
1st constraint eliminates A
2nd constraint eliminates D
3rd eliminates C
5th eliminates B
Therefore, (E) is correct.
#20 is (D) - we can get this off our diagram.
#21 - we know the fourth song is a ballad, so it can be F, G, or H.
That eliminates all answers but (A), the correct answer.
#22 - we know the first song is a dance song, so it must be R, S, V, or X.
That eliminates (D) and (E).
We also know V has to come after H, so we can eliminate (C).
Down to (A) and (B), it's a bit tougher, and we have to try some trial and error.
For (A) If R is first, F must be second, S is third, V is fifth. H would have to be fourth. That all seems fine.
For (B) If S is first, F is second, and V is third. This would violate the rule that H must come before V.
Therefore, (A) is the only possibility left standing.
#23 .
If S is third, V is fifth. Notice, we went through some of this work on the previous q -- for evaluating (A) for #22, we got to...
RFSHV as one way to fill the first 5 slots. In this case, we'd have G and X left -- since we need a ballad in #6, G would have to go there.
Note that the work we did above was just one hypothetical involving S being third, but notice that this question stem subtly tells us there is only one possibility for what can go sixth here. If we know G can go sixth, and we know only one element can go sixth, then we can know G MUST go sixth.
(A) is correct.
#24 If the seventh song is R, the fifth song must be one of the three remaining dance songs -- S, V, or X.
That gets us down to (D) or (E). For (D), there seems no reason why we couldn't put V fifth.
For (E), if we put X fifth, S and V would have to fill slots 1 and 3 -- there is no way they could do so without violating the rule that H must be before V. Therefore (E) is not a possibility, and
(D) is correct.
Hope that was helpful. I've certainly left some spaces in the explanation for you to fill in -- please follow up if you have additional questions!
- Attachments
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- PT25,S3,G4 -Disc Jockey- ManhattanLSAt.pdf
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