Which year will have the same Calendar as that of 2002?
2010
2011
2009
2013
2008
There should be 0 odd days between the years to have the same calendar.
So going through all the options,
Option(1) = Odd day between 2002 & 2010 = 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 = 10/7 => 3
Option(2) = Odd day between 2002 & 2011 = 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 = 11/7 => 4
Option (3) = Odd day between 2002 & 2009 = 1 + 1 + 2 + 1 + 1 + 1 + 2 = 9/7 => 2
Option (4) = Odd day between 2002 & 2013 = 1 + 1 + 2 + 1 + 1 + 1 + 2 + 1 + 1 + 1 + 2 = 14/7 => 0
Option (5) = Odd day between 2002 & 2008 = 1 + 1 + 2 + 1 + 1 + 1 + 1 = 8/7 => 1
So, Answer is Option (4) 2013.
OPTION (4) 2013 IS THE RIGHT ANSWER
2000 + 2 = 20002
LEAP YEAR + 2 THEN REPETITION WILL BE AFTER 11 YEARS
SO 2002 + 11 = 2013