Question

Calendar for 1995 will serve for 2006, prove?

Answer 1

The Calendar for 1995 and 2006 will be the same, if day on 1st January of both the years is the same. This is possible only if the total odd days between 31st Dec. 1994 and 31st Des. 2005 is 0. [one day before both the years as we want to know the day on 1st January of both the years i.e. same]  

During this period, we have,

3leap years and 08 ordinary years

(1996, 2000, 2004) (1995, 1997, 1998, 1999, 2001, 2002, 2003, 2005)  

Total odd days = (2 × 3 + 1 × 8 ) = 14 = odd days (Thus Proved)