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.
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.
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.
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