The calendar for the year 2007 will be the same as that for the year
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 2018
A later year has the same calendar as 2007 when it is also an ordinary year and the years from 2007 up to it add up to 0 odd days, so that it starts on the same day. An ordinary year gives 1 odd day, a leap year 2.
2007, 2009, 2010, 2011, 2013, 2014, 2015, 2017: 1 odd day each, 8 in all
2008, 2012, 2016 are leap years: 2 odd days each, 6 in all
Total from 2007 to 2017 \(=8+6=14=2\times7\), so 0 odd days and 2018 starts on the same day as 2007
2018 is not a leap year, like 2007, so the two calendars match
Why the other options are incorrect
Option (1) 2017 — Incorrect. 2007 to 2016 give \(14-1=13\) odd days, which leaves 6.
Option (2) 2015 — Incorrect. 2007 to 2014 give 10 odd days, which leaves 3.
Option (3) 2016 — Incorrect. 2016 is a leap year, so it has a 29th February that 2007 does not have.