Zeller’s Rule: Day on any date in the calendar

Zeller’s Rule : With this technique named after its founder Zeller, you can solve any ‘Dates and Calendars’ problems.

Zellers rule can be used to find the day on any particular date in the calendar in the history. All you have to know is the formula given below and how to use it.

Zeller’s Rule Formula:

F = K + [(13xM - 1)/5] + D + [D/4] + [C/4] – 2C

K = Date => for 25/3/2009, we take 25
In Zeller’s rule months start from march.
M = Month no. => Starts from March.
March = 1, April = 2, May = 3
Nov. = 9, Dec = 10, Jan = 11
Feb. = 12
D = Last two digits of the year, using previous year for January and February. Thus for 2009 = 09
C = The first two digits of century => for 2009 = 20

Example: 25/03/2009

F = 25 + [{(13 x1)- 1}/5] + 09 + 09/4 + 20/4 – (2 x 20)
= 25 + 12/5 + 09 + 09/4 + 20/4  - 2×20
=25+2+09+2+5-40 [ We will just consider the integral value and ignore the value after decimal]
= 43 – 40 =

Replace the number with the day using the information given below.
1 = Monday
2 = Tuesday
3 = Wednesday
4 = Thursday
5 = Friday
6 = Saturday
7 or 0 = Sunday

So it’s Wednesday on 25th march, 2009.

If the number is more than 7, divide the no. by 7. The remainder will give you the day.

I shall be very grateful if anyone of you can provide me the java script for this formula, so that I can post it here for everyone’s convenience.

Thanks in advance. I hope you will find the above method very useful.

you may find another post named, cyclicity very interesting.

Vineet Patawari – PGDM, ACA, B.COM (H)

46 Comments
  1. EffyCoder
    • Pragyansh Chaturvedi
      • Pragyansh Chaturvedi
      • Pragyansh Chaturvedi
  2. Harshit Lahoti
  3. abhik
  4. manoj sharma
  5. Ashwani Kumar
  6. Mose
  7. Lloyd Wallace
    • P.P. Sudhakaran
  8. Lloyd Wallace
  9. RoyAvi
  10. dla rozwoju
  11. Rahul
    • Lloyd Wallace
    • P.P. Sudhakaran
  12. Neesha
  13. prathyusha
    • Lloyd Wallace
  14. gdv
    • Dr. Dinh, Tat Dac
      • prashanth purastu
    • jeet
    • P.P. Sudhakaran
  15. RAJASEKHAR V S S TOLETY
  16. RAJASEKHAR V S S TOLETY
    • Pragyansh Chaturvedi
  17. Akash
  18. pankaj rawat
  19. Pankaj KUmar
    • pankaj rawat
    • shubhangi ashtikar
      • ashtikar shubhangi
  20. sankeerth
  21. ADITYA
    • knn mayya
  22. Nandeesh
  23. admin
  24. bharat
  25. Mahesh
  26. swati
  27. abhimanyu
    • admin
      • parv
  28. priya

Leave a Reply

Your email address will not be published. Required fields are marked *