January 1, 1995 was a Sunday. What day of the week lies on January 1, 1996 ?

An ordinary year of 365 days contains 52 complete weeks plus 1 odd day ($365 = 52 \times 7 + 1$). 1995 is not a leap year, so the weekday of 1 January moves forward by one day, from Sunday to Monday, in 1996. Wednesday would need three odd days, and Sunday would need none.