On this page, you will find out all the Calendar Formula for Solving Questions in Competitive Exams. Go through this page to get useful Insights to solve Calendar Questions.
About CalendarCalendar is a method of organizing the days in a year. The calendar starts on 1st January and ends on 31st December. The year is classified into two types: ordinary years (365 days) and leap years (366 days).In an ordinary year, there are 365 days, which means 52 x 7 + 1, or 52 weeks and one day.
Calendar Formulas & Definitions
A calendar is a method for systematically organizing days for religious, social, commercial or administrative purposes.It is done by giving names to periods of time, such as days, weeks, months and years.
A date is single, specific day within such a system
The year is classified into two type:
Ordinary years(365 days)
Leap year (366 days.)z
The calendar starts on 1st January and ends on 31st December.
Calendar Formulas for Odd days
Odd days are the number of days that are more than the number of days in a complete week.
For example: Calculate odd days for 10 and 14 days
10 days = 1 week (7 days) + 3 days. Here, 3 days are odd days
14 days = 2 weeks (14 days) + 0 day (0 odd day).
Formulas of Calendar For Number of Odd Days
1 ordinary year has 1 odd day
Explanation : In an ordinary year, there are 365 days, which means 52 x 7 + 1, or 52 weeks and one day. This additional day is called an odd day.
1 leap year has 2 odd days
Explanation: A leap year has 366 days. There are 29 days in February in a leap year. There are 52 weeks and 2 odd days in a leap year.
100 years has 5 odd days
Expalnation : Odd days in a leap year = (52 weeks +2) days .In 100 years , there will be 24 leap years and 76 non-leap years. So odd days in 100 years will be (76 x 1 + 24 x 2) which is 124 odd days. This can also be written as 17 weeks + 5 days. So every 100 years will have 5 odd days.
200 years has 3 odd days
Expalnation: 100 years give us 5 odd days as calculated above. 200 years give us 5 x 2 = 10 .Hence , 7 days (one week) = 3 odd days.
300 years has 1 odd day
Expalnation: 300 years give us 5 x 3 = 15.Hence, 14 days (two weeks) = 1 odd day.
400 years has 0 odd day
Expalnation: The number of odd days in 400 years will be ( 5 x 4 + 1) because 400 is itself a leap year and that is why it has one odd day extra. Thus odd days in 400 will be 0.
Similarly, all the 4th centuries 800 years, 1200 years, 1600 years, 2000 years etc. have 0 odd day.
Mapping of the number of odd day to the day of the week
Days
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
No. of Odd Days
0
1
2
3
4
5
6
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