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Odd Days

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☼ Odd Days : The no. of days which are failed to construct a week is called odd days.

e.g. (i) In 10 days, no. of odd days = 3

(ii) In 30 days, no. of odd days = 2

(iii) In 365 days, no. of odd days = 1

(iv) In 366 days, no. of odd days = 2

$\large \mapsto$ Ordinary year contains 1 odd day.

$\large \mapsto$ Leap year contains 2 odd days.

$\large \mapsto$ No. of odd days during 0001 to 0100 years

= 100 odd days + 24 odd days ( due to leap year )

= 124 odd days

= 5 odd days ( $\because$ No. of odd days < 7 )

No. of odd days during 0301 to 0400 years

= 100 odd days + 25 odd days ( due to leap year )

= 125 odd days

= 6 odd days ( No. of odd days < 7 )

$\large \mapsto$

$\large \mapsto$

i.e. In every 400 years ( 4 centuries ), total no. of odd days = 0.

$\large \mapsto$

No. of odd days	0	1	2	3	4	5	6
Day	Sun.	Mon.	Tue.	Wed.	Thu.	Fri.	Sat.