Explanation:

15th August 2013 = (2009 years + period between 1-1-2013 to 15-8-2013)
odd days in 2000 = 0
in remaining 13 years = (3 leap years + 9 normal years) = (3 * 2 + 9 * 1) = 15 - 14 = 1 odd days
Total number of days in period between 1-1-2013 to 15-8-2013 = 227 days = 32 weeks + 3 days = 3 odd days
Total number of odd days = (1 + 3) = 4 days
Hence, given day is thrusday (0 odd day means sunday, 1 odd day means mon and so on )

So otpion 3 is the correct answer.