A school printed its 2019 timetable on a full-year calendar. What is the next year in which exactly the same calendar can be used?

Explanation

1. 01

   2019 is ordinary and 2019 is 3 more than a multiple of 4 (2016). For such a year the calendar repeats after 11 years.

2. 02

   Check by odd days: 2019–2029 contain 3 leap years (2020, 2024, 2028), so odd days $= 11 + 3 = 14$, a multiple of 7.

3. 03

   2030 is ordinary and starts on a Tuesday like 2019, so the answer is 2030.