The calendar for the year 2007 will be the same for the year:
2012
2016
2017
2018
2014
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 2007 & 2012 => 1 + 2 + 1 + 1 + 1 = 6
Option(2) = Odd day between 2007 & 2016 => 1 + 2 + 1 + 1 + 2 + 1 + 1 + 1 + 1 = 11/7 => 4
Option (3) = Odd day between 2007 & 2017 => 1 + 2 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 2 = 13/7 => 6
Option (4) = Odd day between 2007 & 2018 => 1 + 2 + 1 + 1 + 2 + 1 + 1 + 1 + 1 + 2 + 1 = 14 => 0
Option (5) = Odd day between 2007 & 2014 => 1 + 2 + 1 + 1 + 1 + 2 + 1 = 9/7 => 2
So, Answer is Option (4) 2018.