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Calender

1 . Leap year:

(i). Every year divisible by 4 is a leap year, if it is not a century.

(ii). Every 4th century is a leap year and no other century is a leap year.

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

2 .Ordinary Year:

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

3 . Odd Days:

Number of days more than the complete weeks are called odd days in a given period.
4 .Counting of Odd Days:

(i) . 1 ordinary year = 365 days = (52 weeks + 1 day.)

1 ordinary year has 1 odd day.

(ii) . 1 leap year = 366 days = (52 weeks + 2 days)

1 leap year has 2 odd days.

(iii) . 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) = 10, 3 odd days.

Number of odd days in 300 years = (5 x 3) = 15, 1 odd day.

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.


(5) Week days according to odd days



Number of odd days Day of the week
0 Sunday
1 Monday
2 Tuesday
3 Wednesday
4 Thursday
5 Friday
6 Saturday