Question

Amy、Bill 和 Celine 是年龄不同的朋友。以下陈述中恰好只有一个是真的。

I. Bill 年龄最大。

II. Amy 不是年龄最大的。

III. Celine 不是年龄最小的。

请按从年龄最大到最小排列这些朋友。

Amy, Bill and Celine are friends with different ages. Exactly one of the following statements is true.

I. Bill is the oldest.

II. Amy is not the oldest.

III. Celine is not the youngest.

Rank the friends from the oldest to youngest.

$\text{Bill, Amy, Celine}$

$\text{Amy, Bill, Celine}$

$\text{Celine, Amy, Bill}$

$\text{Celine, Bill, Amy}$

$\text{Amy, Celine, Bill}$

答案：E

知识点：逻辑推理分类讨论

难度评级：1190

解答：

如果 Bill 最大，那么陈述 I 和 II 都为真，所以 Bill 不是最大的。

如果 Celine 最大，那么陈述 II 和 III 都为真，所以 Celine 也不是最大的。

因此 Amy 最大。陈述 I 和 II 为假，所以陈述 III 必须是唯一为真的陈述。因此 Celine 不是最小，Bill 最小。

顺序是 Amy、Celine、Bill。

所以正确答案是 E。

If Bill were oldest, then statements I and II would both be true, so Bill is not oldest.

If Celine were oldest, then statements II and III would both be true, so Celine is not oldest.

Therefore Amy is oldest. Statements I and II are false, so statement III must be the single true statement. Thus Celine is not youngest, leaving Bill youngest.

The order is Amy, Celine, Bill.

Thus, E is the correct answer.

2004 AMC 8 第 13 题

答案：E

难度评级：1190

解答：

其他年份的第 13 题