Which year has the same calendar as that of 2009?

Correct Option: 2015

To find which year has the same calendar as 2009, we count the number of odd days starting from the year 2009 until the accumulated odd days equal a multiple of 7. Year 2009 is a non-leap year (1 odd day). Year 2010 is a non-leap year (1 odd day). Year 2011 is a non-leap year (1 odd day). Year 2012 is a leap year (2 odd days). Year 2013 is a non-leap year (1 odd day). Year 2014 is a non-leap year (1 odd day). Year 2015 is a non-leap year (1 odd day). Let's sum the odd days: 2009(1) + 2010(1) + 2011(1) + 2012(2) + 2013(1) + 2014(1) = 7 odd days. Since the total is 7 (which is equivalent to 0 mod 7), the calendar for the year 2015 will be the same as the calendar for 2009. Let's check options: 2018, 2017, 2016, 2015. Option 2015 corresponds to index 3.