Which date of June 2099 among the following is Sunday?

Answer: (d) 7

Count odd days from the end of 2000: 31 December 2098 falls on a Wednesday, and January to May 2099 add 4 more odd days, so 31 May 2099 is a Sunday. One week later, 7 June 2099, is also a Sunday.

1. 2000 years contain 0 odd days, so 31 December 2000 was a Sunday.
2. From 2001 to 2098 there are 98 years, of which 24 are leap years (2004, 2008, …, 2096). Odd days = 98 + 24 = 122, and 122 ÷ 7 leaves 3.
3. So 31 December 2098 is Sunday + 3 = Wednesday.
4. 1 January to 31 May 2099 (2099 is not a leap year): 31 + 28 + 31 + 30 + 31 = 151 days; 151 ÷ 7 leaves 4.
5. 31 May 2099 is Wednesday + 4 = Sunday, so 1 June 2099 is a Monday and 7 June 2099 is a Sunday.
6. Check: 5 June 2022 (the day of this exam) was a Sunday. Up to 5 June 2099 there are 77 years and 19 leap days: 96 days, which leaves 5 on division by 7. So 5 June 2099 is a Friday and 7 June a Sunday.

Remember · Calendar items: 400 years give 0 odd days; add ordinary years plus leap years, reduce mod 7, then add month days.

Question and answer: UPSC's official GS Paper II (2022, Series A) — paper ↗ · answer key ↗. Explanation: Minimalist IAS, checked 30 Sept 2026 (how we verify). · Report an error