AMC10 2002 B

AMC10 2002 B · Q8

AMC10 2002 B · Q8. It mainly tests Patterns & sequences (misc).

Suppose July of year $N$ has five Mondays. Which of the following must occur five times in August of year $N$? (Note: Both months have 31 days.)

假设 $N$ 年的 7 月有五个星期一。那么 $N$ 年的 8 月中以下哪个一定出现五次？（注：两个月都有 31 天。）

(A) Monday 星期一

(B) Tuesday 星期二

(D) Thursday 星期四

(E) Friday 星期五

Answer

Correct choice: (D)

正确答案：（D）

Solution

(D) Since July has 31 days, Monday must be one of the last three days of July. Therefore, Thursday must be one of the first three days of August, which also has 31 days. So Thursday must occur five times in August.

（D）由于七月有31天，星期一必定落在七月的最后三天之一。因此，星期四必定落在八月的前三天之一，而八月同样有31天。所以，八月中星期四必定出现五次。

Topics

LM.002 Patterns & sequences (misc)