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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.

---------
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
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" 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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