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Division by three (Posted on 2002-04-24)

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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Problem Solution: A Different Method

| Comment 19 of 21 |

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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