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Complete Question Explanation
(The complete setup for this game can be found here: viewtopic.php?t=33052)
The correct answer choice is (C).
The question stem places H on day 2, which immediately triggers the second rule, placing H on day 7 as well:
- ___ _H_ ___ ___ ___ ___ _H_ ___
1 2 3 4 5 6 7 8
The placement of H then triggers the fifth rule, forcing J ahead of the first H. In this case, that forces J into day 1. And, via the first rule, J must also then perform on day 5:
- _J_ _H_ ___ ___ _J_ ___ _H_ ___
1 2 3 4 5 6 7 8
These rule connections eliminate answer choices (A) and (E) since J must be performed on days 1 and 5. Answer choice (B) is also eliminated, since J has already been performed twice, and thus could not be performed a third time, on day 3.
The remaining four plays—G, L, M, and O—must now appear a single time each on days 3, 4, 6, and 8, not necessarily in that order. We still have two other rules to consider (the third and fourth), however, and both involve M so immediately focus on M!
Per the fourth rule, there must be an HM block, and thus M must be performed on either day 3 or day 8 in this question. Answer choice (D), which attempts to performed M on day 7, thus cannot occur and can be eliminated.
The only answer choice remaining is (C), which addresses L. L is a random and not surprisingly can be performed on day 8. Thus, answer choice (C) is correct.
Answer choice (A): Since J must be performed on day 1, this answer choice cannot occur.
Answer choice (B): From the numerical distribution, J can only perform a maximum of twice. since J performs on days 1 and 5 in this questions, J cannot then perform a third time, on day 3. Thus, this answer choice is incorrect.
Answer choice (C): This is the correct answer choice.
Answer choice (D): Per the fourth rule, there must be an HM block, and thus M must be performed on either day 3 or day 8 in this question. This answer, which attempts to have M performed on day 7, thus cannot occur and can be eliminated.
Answer choice (E): Since J must be performed on day 5, this answer choice cannot occur.
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