2013 AMC 8 第 19 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

19.

Bridget、Cassie 和 Hannah 正在讨论上次数学测试的结果。Hannah 给 Bridget 和 Cassie 看了她的试卷,但 Bridget 和 Cassie 没有把自己的试卷给任何人看。Cassie 说:“我不是班里的最低分。”Bridget 补充说:“我不是最高分。”三位女生从高到低的排名是什么?

Bridget, Cassie, and Hannah are discussing the results of their last math test. Hannah shows Bridget and Cassie her test, but Bridget and Cassie don't show theirs to anyone. Cassie says, "I didn't get the lowest score in our class," and Bridget adds, "I didn't get the highest score." What is the ranking of the three girls from highest to lowest?

Hannah, Cassie, Bridget

Hannah, Bridget, Cassie

Cassie, Bridget, Hannah

Cassie, Hannah, Bridget

Bridget, Cassie, Hannah

答案:D
知识点:逻辑推理
难度评级:1030
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文字解答:

因为 Cassie 能推断自己不是最低分,她一定比 Hannah 分数高。同样,Bridget 的话说明她一定比 Hannah 分数低。

因此从高到低的排名是 Cassie、Hannah、Bridget。

所以正确答案是 D

Since Cassie deduced she didn't get the lowest score, she must have got a higher score than Hannah. Similarly, Bridget's statement reveals that she must have got a lower score than Hannah.

Therefore, the ranking from highest to lowest is Cassie, Hannah, and then Bridget.

Thus, D is the correct answer.

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