Calendar problems can be solved by the concept of odd days.
Odd Days : Number of days remained that are more than complete week cycles. For 10 days, 3 odd days are there (1 week + 3 days).
For 15 days, 1 odd day (2 weeks + 1 day).
Month Days Weeks Odd Days
January 31 4 3
February 28 4 0 (ordinary); 1 (Leap)
March 31 4 3
April 30 4 2
May 31 4 3
June 30 4 2
July 31 4 3
August 31 4 3
September 30 4 2
October 31 4 3
November 30 4 2
December 31 4 3
1600 Years = 0 Odd Days
300 Years = 1 Odd Day
Day Odd Days
Sunday 0
Monday 1
Tuesday 2
Wednesday 3
Thursday 4
Friday 5
Saturday 6
  • Ordinary Year : Has 365 days. 1 Odd day (52 weeks + 1 day).
  • Leap Year : Has 366 days. 2 Odd days (52 weeks + 2 days).
  • Every 4th century is a leap year except other centuries. 400, 800, 1200, 1600, 2000 etc. leap year.

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