Question

Aaron、Darren、Karen、Maren 和 Sharon 乘坐一列小火车，火车有五节车厢，每节坐一人。Maren 坐在最后一节车厢。Aaron 正好坐在 Sharon 后面。Darren 坐在 Aaron 前面的某节车厢。Karen 和 Darren 之间至少隔着一个人。谁坐在中间车厢？

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

答案：A

知识点：逻辑推理分类讨论

难度评级：960

视频讲解：

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文字解答：

Maren 坐在最后一节。由于 Aaron 正好在 Sharon 后面，且 Darren 在 Aaron 前方，在 Maren 前面的车厢中只需安排 Darren、Sharon 和 Aaron 的相对位置。

如果 Sharon 和 Aaron 分别在第 $1$ 和第 $2$ 节，Darren 就无法坐在 Aaron 前面；如果他们在第 $3$ 和第 $4$ 节，Darren 和 Karen 只能在第 $1$ 和第 $2$ 节，会相邻。

因此 Sharon 和 Aaron 必须在第 $2$ 和第 $3$ 节，Darren 在第 $1$ 节，Karen 在第 $4$ 节，Aaron 坐在中间车厢。

正确答案是 A。

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 $1$ and $2,$ Darren could not be in front of Aaron. If they were in cars $3$ and $4,$ then Darren and Karen would have to occupy cars $1$ and $2,$ which are adjacent.

Thus Sharon and Aaron must be in cars $2$ and $3.$ Darren is then in car $1,$ Karen is in car $4,$ and Aaron is in the middle car.

Thus, the correct answer is A.

2020 AMC 8 第 6 题

答案：A

难度评级：960

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