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Meet the Challenge! Are You Up For It?

The Weekly Brain Teaser!
Some people believe that January 1, 2000 is the firat day of the 21st century. Other people
believe that the honor belongs to January 1, 2001. But everyone should agree that January 1, 2002 is the first " sum-day"
of the new century- when you write out the date in standard notation' it becomes 01/01/02,and 1+1=2. More generally, a sum-day
is a date in which the day and month add up to the year. With that in mind:
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What is the last sum-day of the 21st century?
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How many sum-days are there in the 21st century?
Who is going to be the winner?
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