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Forum index » Science and Technology » Math » Recreational
Here is a nice little puzzle.
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Tomas Andersson
science forum beginner


Joined: 06 Jun 2005
Posts: 43

PostPosted: Sat Jun 11, 2005 7:14 pm    Post subject: Here is a nice little puzzle. Reply with 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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Robert
science forum beginner


Joined: 11 Jun 2005
Posts: 14

PostPosted: Sat Jun 11, 2005 7:30 pm    Post subject: Re: Here is a nice little puzzle. Reply with 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...
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
Back to top
puit
science forum beginner


Joined: 13 Jun 2005
Posts: 8

PostPosted: Mon Jun 13, 2005 1:00 pm    Post subject: Re: Here is a nice little puzzle. Reply with quote

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
Back to top
Google

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