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.
布里奇特、卡西和汉娜正在讨论上次数学测试的结果。汉娜给布里奇特和卡西看了她的试卷，但布里奇特和卡西没有把自己的试卷给任何人看。卡西说：“我不是班里的最低分。”布里奇特补充说：“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?
汉娜、卡西、布里奇特
Hannah, Cassie, Bridget
汉娜、布里奇特、卡西
Hannah, Bridget, Cassie
卡西、布里奇特、汉娜
Cassie, Bridget, Hannah
卡西、汉娜、布里奇特
Cassie, Hannah, Bridget
布里奇特、卡西、汉娜
Bridget, Cassie, Hannah
答案：D
小提示：
卡西能和汉娜比较，因为她看到了汉娜的试卷
Cassie can compare herself with Hannah because she sees Hannah’s test.
大提示：
卡西高于汉娜，而布里奇特低于汉娜
Cassie is above Hannah, while Bridget is below Hannah.
视频讲解：
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文字解答：
因为卡西能推断自己不是最低分，她一定比汉娜分数高。同样，布里奇特的话说明她一定比汉娜分数低。
因此从高到低的排名是卡西、汉娜、布里奇特。
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.
其他年份的第 19 题
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