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.

Neo · Daedalian Member

Link to the Puzzle

Good luck, and try not to blurt out the answers!
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ralphmerridew · Daedalian Member

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

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

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

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!

Logain · Stretch Armstrong

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 Felicitous

Apoinzy* · Guest

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

I think that's just a coincidence, as it's a shortcut for what numbers are a multiple of 9.
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declan* · Guest

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

Chuck · Daedalian Member

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

Gomez* · Guest

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

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 Felicitous

I wonder if I got anything for it.
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