Question

Marley 一周中每天恰好练习一项运动。她每周跑步三天，但从不连续两天跑步。星期一她打篮球，两天后打高尔夫。她还游泳和打网球，但她从不在跑步或游泳的后一天打网球。Marley 星期几游泳？

Marley practices exactly one sport each day of the week. She runs three days a week but never on two consecutive days. On Monday she plays basketball and two days later golf. She swims and plays tennis, but she never plays tennis the day after running or swimming. Which day of the week does Marley swim?

星期日

Sunday

星期二

Tuesday

星期四

Thursday

星期五

Friday

星期六

Saturday

答案：E

知识点：逻辑推理分类讨论

难度评级：1280

解答：

Marley 星期一打篮球，星期三打高尔夫。若星期二不跑步，则三天跑步只能安排在星期四到星期日之间，必然有连续两天跑步，所以星期二必须跑步。

从星期四到星期日，她必须安排两天跑步、一天游泳和一天打网球。打网球不能排在跑步或游泳的后一天，所以只能在星期四。剩下两天跑步必须是星期五和星期日，因此星期六游泳。

所以正确答案是 E。

Marley plays basketball on Monday and golf on Wednesday. She cannot fit all three running days among Thursday, Friday, Saturday, and Sunday without having two consecutive running days, so Tuesday must be a running day.

From Thursday through Sunday, she must run twice, swim once, and play tennis once. Tennis cannot be the day after running or swimming, so tennis must be Thursday. Then the two remaining running days must be Friday and Sunday, leaving Saturday for swimming.

Thus, the correct answer is E.

2015 AMC 10B 第 6 题

答案：E

难度评级：1280

解答：

其他年份的第 6 题