Everyone knows that New Year’s Day follows Christmas Day by a week. For example this year, with Christmas being on a Wednesday, New Year’s Day is on Wednesday too, seven days later, right? Here’s the question: What is the most recent year in which Christmas Day and New Year’s Day fell on different days of the week in the same year?
Happy New Year from RiddleDude
January 1st, 2013 | Category: 
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Every year! Only the Christmas and New Year of the NEXT year fall on the same day.
Correct Anant, you are today’s winner.
Side note: This posted a month early.