2020 AMC 8 Problem 6
Below is the video solution and professionally curated solution for Problem 6 of the 2020 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.
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Difficulty rating: 960
6.
Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the last car. Aaron sat directly behind Sharon. Darren sat in one of the cars in front of Aaron. At least one person sat between Karen and Darren. Who sat in the middle car?
Aaron
Darren
Karen
Maren
Sharon
Video solution:
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Written solution:
Maren is in the last car. Since Aaron is directly behind Sharon and Darren is in front of Aaron, the possible placements of Darren, Sharon, and Aaron before Maren are limited.
If Sharon and Aaron were in cars and Darren could not be in front of Aaron. If they were in cars and then Darren and Karen would have to occupy cars and which are adjacent.
Thus Sharon and Aaron must be in cars and Darren is then in car Karen is in car and Aaron is in the middle car.
Thus, the correct answer is A.
Problem 6 in Other Years
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