How many weekdays appear 53 times in a year?

Question

A year has 52 full weeks plus a day or two left over.

In an ordinary year, how many of the seven weekdays occur 53 times? And in a leap year? Which weekdays are they, in terms of the day the year starts?

Accepted Answer

Exactly one weekday in an ordinary year, exactly two in a leap year. Ordinary year. 365 = 52 × 7 + 1. Fifty-two full weeks give every weekday 52 times; the one leftover day is the weekday on which the year starts (1 January), and that weekday, which is also the weekday of 31 December, gets a 53rd appearance. For example, 2026 starts on a Thursday, so 2026 has 53 Thursdays and 52 of everything else. Leap year. 366 = 52 × 7 + 2. The two leftover days are the weekdays of 1 January and 2 January, so those two weekdays occur 53 times. For example, 2024 started on a Monday, so 2024 had 53 Mondays a…

How many weekdays appear 53 times in a year?

Your answer

Discussion

Learn the concepts

Related questions