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 = $(2 \times 2 + 7 \times 1)$ = 11 odd days $\equiv$ 4 odd days.