2015 AMC 10B 第 5 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。

5.

David、Hikmet、Jack、Marta、Rand 和 Todd 与另外 66 人参加了一场 1212 人赛跑。Rand 比 Hikmet 早 66 个名次完成。Marta 比 Jack 晚 11 个名次。David 比 Hikmet 晚 22 个名次。Jack 比 Todd 晚 22 个名次。Todd 比 Rand 晚 11 个名次。Marta 得第 66 名。谁得第 88 名?

David, Hikmet, Jack, Marta, Rand, and Todd were in a 1212-person race with 66 other people. Rand finished 66 places ahead of Hikmet. Marta finished 11 place behind Jack. David finished 22 places behind Hikmet. Jack finished 22 places behind Todd. Todd finished 11 place behind Rand. Marta finished in 66th place. Who finished in 88th place?

David

Hikmet

Jack

Rand

Todd

答案:B
知识点:逻辑推理
难度评级:960
解答:

Marta 是第六名,所以 Jack 是第五名。Jack 比 Todd 晚两个名次,所以 Todd 是第三名;Todd 比 Rand 晚一个名次,所以 Rand 是第二名。

Hikmet 比 Rand 晚六个名次,所以 Hikmet 是第八名。

所以正确答案是 B

Marta finished 6th, so Jack finished 5th. Since Jack finished 2 places behind Todd, Todd finished 3rd. Since Todd finished 1 place behind Rand, Rand finished 2nd.

Hikmet finished 6 places behind Rand, so Hikmet finished 8th.

Thus, the correct answer is B.

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