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Division by three (Posted on 2002-04-24) Difficulty: 2 of 5
What do you get as the result, and the remainder, if you divide eleven thousand eleven hundred and eleven by three?

See The Solution Submitted by levik    
Rating: 1.8333 (12 votes)

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Solution Problem Solution: A Different Method Comment 19 of 19 |

The number is:
11000 + 1100 + 11
= 12000 + 1200 + 12 -(1000 + 100 + 1)
= 12000 + 1200 + 12 -[999+ 99) + 1+1+1]


Now, (11000+ 1100 + 11)/3
= [12000 + 1200 + 12 -[999+ 99 + 1+1+1]]/3
=   (4000+ 400 +4) - (333+33+1)
= 4404-367
= 4037

Hence the quotient is 4037 and the remainder is 0.


 

 

 


  Posted by K Sengupta on 2007-03-21 04:28:10
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