Question 46

Suppose that the year 2008 starts with the day 'Monday'. The calendar for the year 2009 will be the same in the year:

Solution

For a year’s calendar to be the same, it must start on the same day and have the same leap year status.

2008 is a leap year with 366 days. Since 366 days = 52 weeks + 2 days, the next year (2009) will start 2 days later than 2008.

2008 starts on Monday

So, 2009 starts on Monday + 2 days = Wednesday

2009 (non-leap): starts Wednesday

2010 (non-leap): starts Wednesday + 1 day = Thursday

2011 (non-leap): starts Thursday + 1 day = Friday

2012 (leap): starts Friday + 1 day = Saturday

2013 (non-leap): starts Saturday + 2 days (because 2012 is leap) = Monday

2014 (non-leap): starts Monday + 1 day = Tuesday

2015 (non-leap): starts Tuesday + 1 day = Wednesday

Since 2015 starts on Wednesday like 2009 and both are non-leap years, their calendars will be the same.

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