Given year 2006, when divided by 4 leaves a remainder of 2.
NOTE: When remainder is 2, 11 is subtracted to the given year to get the result.
So, 2006 - 11 = 1995
The year 2004 is a leap year. So, it has 2 odd days.
But, Feb 2004 not included because we are calculating from March 2004 to March 2005.
So it has 1 odd day only.
The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.
Given that, 6th March, 2005 is Monday.
6th March, 2004 is Sunday (1 day before to 6th March, 2005).
As we know that a week has 7 days,
k weeks k days = (7k + k) days = 8k days.
28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)
Odd days in 1600 years = 0
Odd days in 400 years = 0
5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days
Jan. Feb. March April May
(31 + 28 + 31 + 30 + 28 ) = 148 days
148 days = (21 weeks + 1 day) 1 odd day.
Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.
Given day is Sunday.
NOTE: When a year leaves a remainder 0 when divided by 4,then it is a leap year.
Here, 1863 divided by 4 doesnot give a remainder 0.
So, 1863 is not a leap year.
19th April, 1986 = (1985 years + Period from 1.1.1986 to 19.4.1986)
Odd days in 1600 years = 0
Odd days in 300 years = 1
85 years has 21 leap years + 64 ordinary years.
Number of odd days in 85 years =( 21 x 2 + 64) = 1 odd day.
Jan. Feb. March April
(31 + 28 + 31 + 19) = 109 days
109 days = 15 weeks + 4 days= 4 odd day.
Total number of odd days = (1 + 0 + 1 + 4) = 6.
Given day is Saturday.
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