mersenneforum.org Can you find the smallest number?
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 2003-09-05, 01:49 #1 Fusion_power     Aug 2003 Snicker, AL 7·137 Posts Can you find the smallest number? This one is really simple. It should take no more than 10 minutes to solve. Your I.Q. can be indirectly extapolated by how long it takes you to figure out this simple mathematical puzzle. ( yeah, if you really believe this, let me sell you a lot I own with ocean frontage :) ) 3o minutes or more = I.Q. 100 20 to 30 minutes = I.Q. 120 10 to 20 minutes = I.Q. 140 < 10 minutes = I.Q. 150+ Find the two smallest whole numbers that: divided by seven has a remainder of 4 divided by eight has a remainder of 5 divided by nine has a remainder of 6 Use any tools, programs, etc of your choice to solve. Fusion
2003-09-05, 02:01   #2
Wacky

Jun 2003
The Texas Hill Country

21018 Posts
Re: Can you find the smallest number?

Quote:
 Originally Posted by Fusion_power let me sell you a lot I own with ocean frontage :)
Hey, there is some very nice coastal property in Alabama.

And they even wrote a song about such property in Arizona....

But South Dakota ????? :(

As for the puzzle, do you really mean smallest non-negative integers?
If so, it took much longer to type this than it took to find such numbers.

 2003-09-05, 04:07 #3 helgen19   Feb 2003 2·5 Posts 501 and 1005?
 2003-09-05, 04:15 #4 kwstone     Jun 2003 Shanghai, China 109 Posts Why did I feel compelled to use a spreadsheet to do this one? Must be all those years as an accountant
 2003-09-05, 04:20 #5 tom11784     Aug 2003 Upstate NY, USA 2·163 Posts Re: Can you find the smallest number? Those IQ's are unrealistic....try these 30 minutes or more = I.Q. 70 20 to 30 minutes = I.Q. 80 15 to 20 minutes = I.Q. 90 10 to 15 minutes = I.Q. 100 7 to 10 minutes = I.Q. 110 4 to 7 minutes = I.Q. 120 1 to 4 minutes = I.Q. 130 < 1 minute = I.Q. 140+ Find the two smallest whole numbers that: divided by seven has a remainder of 4 divided by eight has a remainder of 5 divided by nine has a remainder of 6 Use any tools, programs, etc of your choice to solve.
 2003-10-31, 12:20 #6 wrayal   Oct 2003 3 Posts EASY! That was so easy - 501 and 1005 Found using: Written and exectued in under a minute! :)
 2003-10-31, 13:38 #7 sonjohan     May 2003 Belgium 4268 Posts easy: just do (7*8*9)-9+6 to get the first number. 7*8*9*2 -9+6 for the second.... just used windows calculator, less then 30 secs....(with check) [EDIT you can use the 7*8*9 trick, because the greatest common divider is 1...] Last fiddled with by sonjohan on 2003-10-31 at 13:39
 2003-10-31, 14:41 #8 Orgasmic Troll Cranksta Rap Ayatollah     Jul 2003 12018 Posts isn't this just a chinese remainder theorem problem?
 2003-11-18, 19:36 #9 pakaran     Aug 2002 3·83 Posts It would be harder if 7, 8 and 9 weren't all relatively prime.

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