Quantitative Aptitude :: Calender Formulas

Calender Questions and Answers

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Under this heading we mainly deal with finding the day of the week on a particular given date.
The process of finding it lies in obtaining the number of odd days.

The number of days more than the complete number of weeks in a given period, are called odd days.

Leap & Ordinary Year. Every year which is divisible by 4 such as 1992, is called a leap year.
Every 4th centuary is a leap year but no other centuary is a leap year viz.
400, 800, 1200, 1600, are all leap years, but none of 700, 900, 100 etc. is a leap year.

An ordinary year has 365 days, i.e (52 weeks + 1 day).
An ordinary year has 1 odd day and a leap year has 2 odd days.
A centuary i,e. 100 years has 76 ordinary years and 24 leap years.
        Therefore 100 years = 76 ordinary years + 24 leap years.
                            = [(76 x 52) weeks + 76 days] + [(24 x 52) weeks + 48 days]
                            = 5217 weeks + 5 days = 5 odd days.
i.e. 100 years contain 5 odd days.
200 years contain 10 and therefore 3 odd day.
300 years contain 15 and therefore 1 odd day.
400 years contain (20+1) and therefore 0 odd day.
Similarly, the years 800, 1200, 1600, etc., contain no odd day.
We count days according to number of odd days,

                                                                  Sunday for 0 odd day, 
                                                                  Monday for 1 odd day,
                                                                  Tuesday for 2 odd days,
                                                                  Wednesday for 3 odd days,
                                                                  Thursday for 4 odd days,
                                                                  Friday for 5 odd days,
                                                                  Saturday for 6 odd days.