1987 AMC 8 第 17 题

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17.

Abby、Bret、Carl 和 Dana 坐在一排编号为 1144 的四个座位上。Joe 看着他们说:“Bret 挨着 Carl。”“Abby 坐在 Bret 和 Carl 之间。”然而 Joe 的每一句话都是假的。Bret 实际坐在 33 号座位。谁坐在 22 号座位?

Abby, Bret, Carl, and Dana are seated in a row of four seats numbered 11 to 4.4. Joe looks at them and says: "Bret is next to Carl." "Abby is between Bret and Carl." However, each one of Joe's statements is false. Bret is actually sitting in seat 3.3. Who is sitting in seat 2?2?

Abby

Bret

Carl

Dana

信息不足,无法确定

There is not enough information to be sure

答案:D
知识点:逻辑推理
难度评级:1060
解答:

Bret 在 33 号座位。因为“Bret 挨着 Carl”是假的,Carl 不在 22 号或 44 号座位,所以 Carl 必须在 11 号座位。

Bret(33 号)和 Carl(11 号)之间的座位是 22 号。因为“Abby 在 Bret 和 Carl 之间”是假的,Abby 不在 22 号,所以 Abby 必须在 44 号。

因此 Dana 坐在 22 号座位。

所以正确答案是 D

Bret is in seat 3.3. Since "Bret is next to Carl" is false, Carl is not in seat 22 or seat 4,4, so Carl must be in seat 1.1.

The seat between Bret (seat 33) and Carl (seat 11) is seat 2.2. Since "Abby is between Bret and Carl" is false, Abby is not in seat 2,2, so Abby must be in seat 4.4.

That leaves Dana in seat 2.2.

Thus, the correct answer is D .

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