 #### Explanation / Important formulas:

Ordinary Year: The year which is not a leap year is called an ordinary years. An ordinary year has 365 days

Leap Year: Every year divisible by 4 is a leap year, if it is not a century. Every 4th century is a leap year and no other century is a leap year

• A leap year has 366 days

Examples: Each of the years 400, 800, 1200, 1600, 2000 etc. is a leap year

Odd Days: To find the day of the week on a given date. we use the concept of ‘odd days’

In a given period, the number of days more than the complete weeks are called odd days

Counting of Odd Days:

• 1 ordinary year = 365 days = (52 weeks + 1 day)
• 1 ordinary year has 1 odd day
• 1 leap year = 366 days = (52 weeks + 2 days)
• 1 leap year has 2 odd days.
• 100 years = 76 ordinary years + 24 leap years

=> (76 x 1 + 24 x 2) odd days = 124 odd days

=> (17 weeks + days)  5 odd days

=> Number of odd days in 100 years = 5

• Number of odd days in 200 years = (5 x 2)  3 odd days
• Number of odd days in 400 years = (5 x 4 + 1)  0 odd day
• Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc. has 0 odd days

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## Calendar - Question and Answers

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