AMC 8 2002 Problem 5
AMC8 2002 年第 5 题
余数与同余★★☆☆☆
Carlos Montado was born on Saturday, November 9, 2002. On what day of the week will Carlos be 706 days old?
Carlos Montado 出生于 2002 年 11 月 9 日，这天周六。当 Carlos 年龄为 706 天时，这天是周几？
- A. / 周一
- B. / 周三
- C. / 周五
- D. / 周六
- E. / 周日
正确答案 · Correct Answer
C
解析 · Solution
Solution 1
Days of the week have a cycle that repeats every 7 days. Thus, after 100 cycles, or 700 days, it will be Saturday again. Six more days will make it Building off of solution 1, we can make things simpler by fast-forwarding 101 cycles ( 707 days) instead of 100 cycles. Day 707 would be a Saturday again, and one day before then (Day 706 ) would be a Friday. Therefore the answer is.
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