Tenzin keeps a 2029 desk diary in which every page has its date and weekday printed. In which year will the diary next match the calendar exactly?

Explanation

1. 01

   2029 is the year just after a leap year (2028). Such a calendar repeats after 6 years.

2. 02

   Check: 2029–2034 contain one leap year (2032), so odd days $= 6 + 1 = 7$, a multiple of 7.

3. 03

   2035 is ordinary and starts on Monday, like 2029.