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Tomas Andersson science forum beginner
Joined: 06 Jun 2005
Posts: 43

Posted: Sat Jun 11, 2005 7:14 pm Post subject:
Here is a nice little puzzle.



What is the smallest number with every digit = 1 or 0 that is divisible
with 225?
This can be solved without brute force and is quite obvious once you figure
it out.
Good luck.

Tomas Andersson 

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Robert science forum beginner
Joined: 11 Jun 2005
Posts: 14

Posted: Sat Jun 11, 2005 7:30 pm Post subject:
Re: Here is a nice little puzzle.



11111111100
225 = 9 * 25
divisible by 9 means sum of digits is divisible by 9
divisible by 25 ending in 0 or 1 has to be 100.
"Tomas Andersson" <toman144@student.liu.se> wrote in message
news:dvIqe.140045$dP1.491813@newsc.telia.net...
Quote:  What is the smallest number with every digit = 1 or 0 that is divisible
with 225?
This can be solved without brute force and is quite obvious once you
figure
it out.
Good luck.

Tomas Andersson 


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puit science forum beginner
Joined: 13 Jun 2005
Posts: 8

Posted: Mon Jun 13, 2005 1:00 pm Post subject:
Re: Here is a nice little puzzle.



Very nice!
Robert wrote:
Quote:  11111111100
225 = 9 * 25
divisible by 9 means sum of digits is divisible by 9
divisible by 25 ending in 0 or 1 has to be 100.
"Tomas Andersson" <toman144@student.liu.se> wrote in message
news:dvIqe.140045$dP1.491813@newsc.telia.net...
What is the smallest number with every digit = 1 or 0 that is divisible
with 225?
This can be solved without brute force and is quite obvious once you
figure
it out.
Good luck.

Tomas Andersson 


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