15
th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)
Odd days in 1600 years = 0
Odd days in 400 years = 0
9 years = (2 leap years + 7 ordinary years) = (2 × 2 + 7 × 1) = 11 odd days = 4 odd days
Sum of number of days in the months Jan, Feb, March, Apr, May, Jun, July, up to 15
th August
= 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15
= 227 days
Then, number of odd days =
, = 3 odd days
Then, total number of odd days = 4 + 3 = 7 days, that is, no odd days = 0 odd days
Then, 15
th August, 2010 is Sunday.