NOTE: For an century year,it is divided by 400,when leaves a remainder 0 then it is a leap year.
So, 1600
NOTE: When an year leaves a remainder 0 when divided by 4,then it is a leap year.
Here, 1984 divided by 4 leaves a remainder 0.
So, answer 1984 (366 days => leap year)
Given year 1856, when divided by 4 leaves a remainder of 0.
NOTE: When remainder is 0, 28 is subtracted to the given year to get the result.
So, 1856 - 28 = 1828
Given year, 2013 when divided by 4 leaves a remainder of 1.
NOTE: When the remainder is 1, 11 is substracted from the given year to get the result.
So, 2013 - 11 =2002
The year 1985 is an ordinary year. So, it has 1 odd day.
So, the day on 19th June, 1985 will be 1 day after the day on 19th June, 1984.
But, 19th June,1984 is Monday
S0, 19th June, 1985 is Tuesday.
On 31st December, 2005 it was Saturday.
Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.
therfore, on 31st December 2009, it was Thursday.
Thus, on 1st Jan, 2010 it is Friday
25 Jan, 1981 = (1980 years + Period from 1.1.1981 to 25.1.1981)
Odd days in 1600 years = 0
Odd days in 300 years = 1
80 years = (60 ordinary years + 20 leap year) = (60 x 1 + 20 x 2)= 2 odd days
Jan = 25 days = (3 weeks + 4 days) = 4 odd days.
Total number of odd days = (0 + 1 + 2 + 4) = 7= 0 odd day.
Given day is Sunday.
1 Oct, 1994 = (1993 years + Period from 1.1.1993 to 1.10.1993)
Odd days in 1600 years = 0
Odd days in 300 years = 1
93 years = (70 ordinary years + 23 leap year) = (70 x 1 + 23 x 2)= 4 odd days
Jan Feb March April May June July Aug sept Oct
(31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 1 ) = 274 days
274 days = (39 weeks + 1 day) =1 odd day.
Total number of odd days = (0 + 1 + 4 + 1) = 6 odd days.
Given day is Saturday.
17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)
Odd days in 1600 years = 0
Odd days in 300 years = (5 x 3) 1
97 years has 24 leap years + 73 ordinary years.
Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.
Jan. Feb. March April May June
(31 + 28 + 31 + 30 + 31 + 17) = 168 days
168 days = 24 weeks = 0 odd day.
Total number of odd days = (0 + 1 + 2 + 0) = 3.
Given day is Wednesday
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