Question

calendar for the year 2006 will be same for year:​

Answer 1

Suppose the month January of the year 2006 begins with the day x, for any of the 7 days x.

As an ordinary year has 52 weeks and 1 odd day, January 2007 begins with (x + 1)th day, which means if January 2006 begins with Monday, then January 2007 will begin with Tuesday.

So january 2008 begins with (x + 2)th day.

But january 2009 begins with (x + 4)th day because 2008 is a leap year and a leap year has 52 weeks and 2 odd days.

January 2010 begins with (x + 5)th day.

January 2011 begins with (x + 6)th day.

January 2012 begins with (x + 7)th day.

As a week contains 7 days, (x + 7)th day is equal to the day.

So calendar for the year 2012 is the same for that of 2006.