CALENDER

CALENDER :

ODD DAYS :

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

LEAP YEAR :

A leap year has 366 days. In a leap year, the month of February has 29 days. 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.

Examples:

Each of the years 1948, 2004, 1676 etc. isa leap year.

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

None of the years 2001, 2002, 2003, 2005,1800, 2100 is a leap year.

ORDINARY YEAR :

The year which is not a leap year is called an ordinary year. An ordinary year has 365 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
  
• 1 leap year has 2 odd days
• 100 years = 76 ordinary years + 24 leap years.
• = (76 *1 + 24 * 2) odd days = 124 odd days
• = (17 weeks + 5 days) 5 odd days

Day Codes :

• 0 = Sunday

• 1 = Monday

• 2 = Tuesday

• 3 = Wednesday

• 4 = Thursday

• 5 = Friday

• 6 = Saturday

Month Codes

• January = 0

• February =3

• March = 3

• April = 6

• May = 1

• June = 4

• July = 6

• August = 2

• September = 5

• October = 0

• November = 3

• December = 5

• 1 year = 12 months
• 12 months = 52 weeks
• 1 week = 7 days
• Ordinary Year = 52 weeks + 1 odd day
• Leap Year = 52 weeks + 2 odd days

Odd days are the number of days more than the complete week or extra days in a year.

• Number of odd days in 100 years = 5
• Number of odd days in 200 years = (5 * 2) = 3 odd days
• Number of odd days in 300 years = (5 * 3) = 1 odd day
• Number of odd days in 400 years = (5 * 4 +1) = 0 odd day

Similarly, each one of 800 years, 1200 years, 1600 years, 2000 years etc  has 0 odd days