The correct option is B Monday
Given, 31 January 1996 was a Wednesday.
Between, 31 Jan 1996 and 31 Jan 2005, we have 3 leap years (1996, 2000 and 2004) and 6 ordinary years.
Therefore, number of odd days = 3 X 2 + 6 X 1 = 12 days or 1 week and 5 odd days
So, the day on 31 Jan 2005 is 5 days after Wednesday i.e., Monday.
Hence, option (A) is the correct answer.