# The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.

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Neo
Daedalian Member

 Posted: Wed Aug 15, 2007 1:11 am    Post subject: 1 Link to the Puzzle Good luck, and try not to blurt out the answers!_________________ Ad Astra
ralphmerridew
Daedalian Member

 Posted: Wed Aug 15, 2007 2:10 am    Post subject: 2 All I noticed was that all numbers were divisible by 18. GR: 2*3^2, 2^4*3^2, 2^2*3^2*5^1, 2*3^3 Gh 2*3^2*19, 2*3^2*5, 2^3*3^3, 2^2*3^2*7 Dal: 2*3^2*17, 2^2*3^3, 2*3^3*5, 2^2*3^4 B: 2*2^4, 2^2*3^2, 2*3^2*11, 0 Factoring out 18 leaves GR: 1, 8, 10, 3 Gh: 19, 5, 12, 14 D: 17, 6, 15, 18 B: 9, 2, 11, 0 Missing multiples are 18*(4, 7, 13, 16) == (72, 126, 234, 288)
Foggy
In the clouds

 Posted: Wed Aug 15, 2007 6:08 pm    Post subject: 3 I never did finish this one...I kept wanting the puzzle to be Dartboard-related, since twenty different multiples of 18 = 360, which implies a circle cut up into 20 pieces...or, a dartboard.
groza528
No Place Like Home

 Posted: Wed Aug 15, 2007 7:09 pm    Post subject: 4 I never linked to a dartboard, but I did consider that it might be circular somehow. I thought that maybe the error was that the beagle was supposed to give 360 instead of 0, perhaps. Anytime a 0 comes up it strikes me as an oddball data point.
GameFace
Daedalian Member

 Posted: Wed Aug 15, 2007 9:13 pm    Post subject: 5 I didn't submit anything for this puzzle either, but I'm glad to see that at least 2 other people were also thinking about a solution in terms of dartboards or circles. Sean (GameFace)
Thok
Oh, foe, the cursed teeth!

Posted: Thu Aug 16, 2007 12:59 am    Post subject: 6

 Foggy wrote: I never did finish this one...I kept wanting the puzzle to be Dartboard-related, since twenty different multiples of 18 = 360, which implies a circle cut up into 20 pieces...or, a dartboard.

Thanks for the hint, which is fairly useful. *[rough idea of an answer]*If you orient a dartboard correctly and compare angles, you get that the dogs were supposed to be trained to go from 1-20 in order on a dartboard (and it's easy to see what the last dog did wrong). This is a case where an image of a dartboard is fairly useful.*[/rough idea of an answer]*
Logain
Stretch Armstrong

 Posted: Thu Aug 23, 2007 10:53 pm    Post subject: 7 Sounds like this one's pretty done...anyone want to close it out with the full answer? Then I'll get things going to have some of Round #2 posted next
Apoinzy*
Guest

 Posted: Fri Aug 24, 2007 2:15 am    Post subject: 8 seems like all the digits in each number adds-up to nine, save for beagle's numbers. don't know if that has to do with anything useful.
lexprod
NOT not a title

 Posted: Fri Aug 24, 2007 3:35 am    Post subject: 9 I think that's just a coincidence, as it's a shortcut for what numbers are a multiple of 9._________________I'll have a P please...
declan*
Guest

 Posted: Tue Aug 28, 2007 4:12 pm    Post subject: 10 i don't think it would be about a dartboard, because wouldn't a dart contest have only 3 throws per round? Anyonr have the solution
Duke Gnome
Daedalian Member

Posted: Tue Aug 28, 2007 4:45 pm    Post subject: 11

 declan* wrote: i don't think it would be about a dartboard, because wouldn't a dart contest have only 3 throws per round? Anyonr have the solution

It is a dartboard.

[The first 3 dogs go to the correct positions for 1-12 on a dartboard, the Beagle gets 13-16 wrong by 90 degrees.]

I didn't solve it myself, just clarifying it for declan
Chuck
Daedalian Member

 Posted: Tue Aug 28, 2007 6:24 pm    Post subject: 12 I guessed that the dogs were fetching something such as a frisbee and the numbers are the lengths of the tosses. The beagle got a zero on its final toss for not bringing it back. Since the frisbee was gone the collie had nothing to fetch.
PuzzleScot
Daedalian Member

Posted: Wed Sep 05, 2007 10:34 am    Post subject: 13

 Quote: Duke Gnome said: The first 3 dogs go to the correct positions for 1-12 on a dartboard, the Beagle gets 13-16 wrong by 90 degrees.

Actually, the Beagle tapped out the nos. 17-20 instead of 13-16, hence the confusion...

I didn't quite get this either...
_________________
http://www.ukpuzzles.org/
Gomez*
Guest

 Posted: Wed Sep 05, 2007 11:06 am    Post subject: 14 I got as far as noticing that all the numbers, with the exception of the Beagle's last two numbers, comprised digits which, when added together, totalled nine. My (incorrect) answer was that the Beagle had screwed up by coming up with numbers with digits that didn't add up to 9, and that the Collie was confused because he then didn't know what the pattern was.
Antrax
ESL Student

 Posted: Wed Sep 05, 2007 11:22 am    Post subject: 15 You think that's bad? We don't have darts here, so there was no way I could figure it out. Instead, I went with this: (spoilered just in case) 1+ 8 +10 + 3 =19 −14 + 5 +12 =18 −17 +15 + 6 = 9 + 2 +11+ 0 = 22 But there's no way to make 22 with the leftover numbers. However, had the damned beagle gone with (13, 2,11,0) he could've made 13− 2 +11+ 0 = 22 and the Collie could've concluded with 9 − 7 +16 + 4 = 22 for the win. So, that's my final answer. Each dog picks four numbers from 0 to 19 inclusive that a) haven't been picked by another dog before and b) can be combined, using addition / subtraction, to 22. As noted, the beagle made a wrong choice that prevented the collie from accomplishing it, despite it being possible (as also demonstrated). Talk about "artificial" solutions I wonder if I got anything for it._________________After years of disappointment with get rich quick schemes, I know I'm gonna get rich with this scheme. And quick!
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