2002 AMC 8 Problem 5

Attempt Problem 5 of the 2002 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2002 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

5.

Carlos Montado was born on Saturday, November 9,9, 2002.2002. On what day of the week will Carlos be 706706 days old?
Monday
Wednesday
Friday
Saturday
Sunday
Answer: C
Concepts:modular arithmeticdate and time
Small hint:
Reduce 706706 modulo 7.7.
Big hint:
700700 days is an exact number of weeks.
Solution:
The days of the week cycle every 77 days. After 700700 days, the day of the week will still be Saturday.
After 66 more days, the day of the week will be Friday.
Thus, C is the correct answer.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.