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(The complete setup for this game can be found here: lsat/viewtopic.php?t=11660)
The correct answer choice is (C)
The last question in a game is often the most difficult, and that general rule holds true here. Let us take a moment to examine why LSAC so often makes the last question difficult. The key to understanding this phenomenon is to look at it from a psychological perspective. As you near the end of a game, your mind naturally begins to focus on quickly finishing the game at hand and preparing for the next game. At just this point, when you want to go more quickly, LSAC throws in a difficult question. This tends to have the effect of slowing you down considerably, and that usually leads to a degree of frustration. Once you become frustrated, your chances of missing the question increase. And when you go to the next game, you may still be thinking about what happened on the last question, and that can contribute to a poor start on the new game, causing further trouble. In a nutshell, do not forget about the importance of psychology on the test. You must remain positive, focused, and calm throughout each section. If you become upset or frustrated, take a moment to relax and regain your equilibrium.
The local condition in the question stem sets up the following relationship:
This sequential relationship automatically produces several Not Laws:
In addition, the interaction of the last rule and the sequence further establishes that G cannot be inspected on day 3 since it would then be impossible for Q to be inspected on day 5 (in this question if G is inspected on day 3 then R would be inspected on day 5). Also, because of the block produced by the question stem, if G cannot be inspected on day 3, then Q cannot be inspected on day 4 and R cannot be inspected on day 5. Using these inferences and the Not Laws above, we can eliminate answer choices (A), (D), and (E) from consideration. At this point, unless you see what distinguishes answer choice (B) from answer choice (C), the best strategy would probably be to try a quick hypothetical using either answer choice. As it turns out, answer choice (B) is incorrect, since if H is inspected on day 6 the following impossible scenario results:
As shown above, G is inspected on day 3, but Q is not inspected on day 5—a violation of the last rule. By process of elimination, answer choice (C) is proven correct.
Some students question whether answer choice (C) can be valid since it leads to a solution (F-J-H-G-Q-R) where Q is inspected on day 5 but G is not inspected on day 3. Remember, the conditional rule only activates if G is inspected on day 3. If Q is inspected on day 5, nothing necessarily happens (to think otherwise would be a Mistaken Reversal).