Skip to content

Weekday 100 days after a Monday

Question

Number the days of the week 11 (Sunday) through 77 (Saturday). Which number corresponds to the day falling 100100 days after a Monday?

Short answer

4 (Wednesday). Weeks repeat every 77 days and 100=14⋅7+2100=14\cdot7+2, so the day is two after Monday, which is Wednesday, numbered 44.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

See the hint and the full worked solution in the question bank (free account).

Open the worked solution