Explanation:

26 January 2012 = (2011 years + period between 1-1-2012 to 26-01-2012)
odd days in 2000 = 0
in remaining 11 years = (2 leap years + 9 normal years) = (2 * 2 + 9 * 1) = 13 - 14 = 6 odd days
Total number of days in period between 1-1-2012 to 26-01-2012 = 26 days = 3 weeks + 5 days = 5 odd days
Total number of odd days = (6 + 5) = 11 - 7 = 4 days
Hence, given day is Thursday (0 odd day means sunday, 1 odd day means mon and so on)

So option 4 is the correct answer.