AMC 8 1987 Problem 17

AMC8 1987 年第 17 题

逻辑推理（跨域）★★★☆☆

Abby, Bret, Carl, and Dana are seated in a row of four seats numbered #1 to #4 . Joe looks at them and says:

\hspace{2em}

"Bret is next to Carl."

\hspace{2em}

"Abby is between Bret and Carl." However each one of Joe's statements is false. Bret is actually sitting in seat #3 . Who is sitting in seat #2 ?

Abby、Bret、Carl 和 Dana 坐在编号为 #1 到 #4 的四个座位上。Joe 看着他们说：

\hspace{2em}

"Bret 挨着 Carl。"

\hspace{2em}

"Abby 在 Bret 和 Carl 之间。"

然而 Joe 的每句话都是假的。实际上 Bret 坐在 #3 号座位。谁坐在 #2 号座位？

正确答案 · Correct Answer

解析 · Solution

Solution 1

Bret sits in seat #3.

\text{-----}\qquad \text{-----} \qquad \textbf{Bret} \qquad \text{-----}

Since Carl is not next to Bret, he sits in seat #1.

\textbf{Carl}\qquad \text{-----} \qquad \text{Bret} \qquad \text{-----}

Since Abby is not between Bret and Carl, she sits in seat #4.

\text{Carl}\qquad \text{-----} \qquad \text{Bret} \qquad \textbf{Abby}

This leaves

\text{Dana}

to sit in seat #2.

\text{Carl}\qquad \textbf{Dana} \qquad \text{Bret} \qquad \text{Abby}

继续练习