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Question

The remainder when the sum of the numbers in the set (3,4,5,6,7,8,....,2008) is divided by 2005 


  1. 0

  2. 2

  3. 3

  4. 1


Solution

The correct option is C

3


The remainder when we divide 2005, 2006, 2007, 2008 by 2005 is 0,1,2,3 respectively. 
Adding all the remainder we get,
3+4+5....2003+2004+0+1+2+3
 summation of consecutive integers from 0 to 2004 and 3

so, the remainder is 3

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