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- Fri Jan 01, 2010 5:24 pm
#82640
Setup and Rule Diagram Explanation
This is an Advanced Linear: Unbalanced: Underfunded game.
The first rule establishes that houses of the same style cannot be adjacent:
The HH designation indicates that two Houses of the same style cannot stand next to each other. This representation is faster and easier than drawing out not-blocks for each style.
The second rule establishes a vertical block that removes the possibility that split-level houses face each other:
The third rule is conditional, and stipulates that every time a ranch house appears, there is a Tudor next to it:
The fourth and fifth rules assign house styles to houses 3 and 6:
Of course, with these two houses determined, a slew of Not Laws immediately follows from the first two rules. From the first rule, houses 1 and 5 cannot be R, and houses 4 and 8 cannot be S:
From the second rule, house 5 cannot be S, which means that house 5 must be T. Consequently, house 7 cannot be T:
Applying the third rule, house 3 now satisfies the rule because house 5 is T. But, we can also infer that house 8 cannot be R, because if house 8 was R, there would be no way for a T to be adjacent, a violation of the third rule. Thus, because house 8 cannot be S or R, it must be T:
Of course, there are only three house styles, so each time one is removed, a dual-option results (for example, house 1 cannot be R, so it must be S or T). Adding all of the dual-options leads us to the final diagram for the game:
Note that from the action of the third rule, if house 4 is R, then house 2 must be T, which is represented above as: This is the easiest game of the test; the first two rules produce numerous Not Laws, and each results in a dual-option or style assignment. This greatly limits the possibilities of the game. One approach would be to draw out each possibility, but the setup above is so powerful that it appears that showing each solution would not be worth the extra time.
This is an Advanced Linear: Unbalanced: Underfunded game.
The first rule establishes that houses of the same style cannot be adjacent:
The HH designation indicates that two Houses of the same style cannot stand next to each other. This representation is faster and easier than drawing out not-blocks for each style.
The second rule establishes a vertical block that removes the possibility that split-level houses face each other:
The third rule is conditional, and stipulates that every time a ranch house appears, there is a Tudor next to it:
The fourth and fifth rules assign house styles to houses 3 and 6:
Of course, with these two houses determined, a slew of Not Laws immediately follows from the first two rules. From the first rule, houses 1 and 5 cannot be R, and houses 4 and 8 cannot be S:
From the second rule, house 5 cannot be S, which means that house 5 must be T. Consequently, house 7 cannot be T:
Applying the third rule, house 3 now satisfies the rule because house 5 is T. But, we can also infer that house 8 cannot be R, because if house 8 was R, there would be no way for a T to be adjacent, a violation of the third rule. Thus, because house 8 cannot be S or R, it must be T:
Of course, there are only three house styles, so each time one is removed, a dual-option results (for example, house 1 cannot be R, so it must be S or T). Adding all of the dual-options leads us to the final diagram for the game:
Note that from the action of the third rule, if house 4 is R, then house 2 must be T, which is represented above as: This is the easiest game of the test; the first two rules produce numerous Not Laws, and each results in a dual-option or style assignment. This greatly limits the possibilities of the game. One approach would be to draw out each possibility, but the setup above is so powerful that it appears that showing each solution would not be worth the extra time.
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Dave Killoran
PowerScore Test Preparation
Follow me on X/Twitter at http://twitter.com/DaveKilloran
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PowerScore Test Preparation
Follow me on X/Twitter at http://twitter.com/DaveKilloran
My LSAT Articles: http://blog.powerscore.com/lsat/author/dave-killoran
PowerScore Podcast: http://www.powerscore.com/lsat/podcast/
