SOLUTION: The first day of the year 2009 was Tuesday and there are 365 days in this year,what will be the day of the week when 2010 begins?

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Question 230119: The first day of the year 2009 was Tuesday and there are 365 days in this year,what will be the day of the week when 2010 begins?
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
The first day of the year 2009 was Tuesday and there are 365 days in this year,what will be the day of the week when 2010 begins?
   
   52
7)365
  35
   15
   14
    1 

Since the quotient is 52 and the remainder is 1 
when 365 is divided by 7, January 1, 2010 will be 
exactly 52 weeks and 1 day 
from Tuesday, January 1, 2009, and will therefore
be on Wednesday.

[Another way to state this is that 
365 mod 7 = 1, and Wednesday is 1 day after Tuesday,
in case you are studying modular or "clock" arithmetic.]

Edwin

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