Home » Aptitude » Calendar

The calendar for the year 2007 will be the same for the year:

Difficulty: Medium

Correct Answer: 2018

Explanation:

Concept

  • Two years share the same calendar if they start on the same weekday and are both leap years or both non-leap years.
  • Year 2007 is a non-leap year beginning on a Monday.

Step 1: Accumulate weekday shifts from 2007 onward
Shift from a non-leap year to next Jan 1 = +1 day; from a leap year = +2 days.2007(+1), 2008(+2), 2009(+1), 2010(+1), 2011(+1), 2012(+2), 2013(+1), 2014(+1), 2015(+1), 2016(+2), 2017(+1)Total shift 2007→2018 = 1+2+1+1+1+2+1+1+1+2+1 = 14 ≡ 0 (mod 7)


Step 2: Check leap status
2007 non-leap; 2018 non-leap ⇒ leap status matches.


Conclusion

  • Therefore, the calendar for 2007 repeats in 2018.
← Previous Question Next Question→

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion