2015 AMC 12B 第 4 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。
4.
David、Hikmet、Jack、Marta、Rand 和 Todd 与另外 人参加了一场 人赛跑。Rand 比 Hikmet 领先 个名次。Marta 比 Jack 落后 个名次。David 比 Hikmet 落后 个名次。Jack 比 Todd 落后 个名次。Todd 比 Rand 落后 个名次。Marta 得第 名。谁得第 名？
David, Hikmet, Jack, Marta, Rand, and Todd were in a -person race with other people. Rand finished places ahead of Hikmet. Marta finished place behind Jack. David finished places behind Hikmet. Jack finished places behind Todd. Todd finished place behind Rand. Marta finished in th place. Who finished in th place?
David
Hikmet
Jack
Rand
Todd
小提示：
从 Marta 第 名开始，依次使用每个给出的名次差
Start from Marta in th place and use each stated gap
大提示：
Marta 比 Jack 落后 名，所以 Jack 第 名；再连到 Todd、Rand、Hikmet
Marta is behind Jack, so Jack is th; chain to Todd, then Rand, then Hikmet
解答：
Marta 第 名，所以 Jack 第 名。Jack 比 Todd 落后 名，所以 Todd 第 名。Todd 比 Rand 落后 名，所以 Rand 第 名。
Rand 比 Hikmet 领先 名，所以 Hikmet 第 名。（David 第 名。）
因此，正确选项是 B。
Marta is th, so Jack is th. Jack is behind Todd, so Todd is rd. Todd is behind Rand, so Rand is nd.
Rand is ahead of Hikmet, so Hikmet is th. (David is th.)
Thus, the correct answer is B.
其他年份的第 4 题
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
- 1957 AMC 12
- 1958 AMC 12
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