# 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.

Author Message
Daedalian Member

 Posted: Sun Dec 26, 2004 11:35 am    Post subject: 1 Difficulty: ** --- A seasoned thief is trying to break into a safe. He finds a dial with positions numbered 00 to 99, and the following message: ABOUT THE COMBINATION: I consist of three two-digit segments, i.e. the form XX XX XX. All three numbers are divisible by 3. The middle, and only the middle number is odd. The third number is not divisible by the first number. The first number is divisible by the middle number. The sum of all three numbers is the reverse of the first number. The third number with digits reversed is double the middle number. What is the combination to open the safe? ---_________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!
yuethomas
Daedalian Member

 Posted: Sun Dec 26, 2004 3:13 pm    Post subject: 2 Answer: (18, 03, 60)_________________Tom Yue
Daedalian Member

 Posted: Wed Jan 19, 2005 1:31 pm    Post subject: 3 THE STAGE MANAGER Difficulty: **** The stage manager opened the back door to the theatre and went in to prepare the stage. Tonight was going to be a special act. But just as he went to raise the slatted cover and access blind behind the stage, he noticed it was protected by two combination locks of some kind. They respectively used combinations of the form XXXXX and XXX. The numbers had of course been scrambled, but beside the locks lay the following peculiar note: I am prime. Remove my first digit and I remain prime. All my digits are prime, save one. The sum of my first digit and my last digit equals my second digit. The sum of my second digit and any other digit save the fourth, is prime. My second digit is not divisible by my last digit. I am divisible by the sum of the digits of the other number. The sum of my first digit and my second digit equals my last digit. Add one and I become prime. I cannot be made prime by removing just a single digit. I may prove ambiguous, but in any case I will ultimately make sense using only one value. With the right combination the performance tonight will be congenitally productive. Who was going to perform on stage that night? NB a bit of brief research may prove necessary, but it should be no more than superficial front page googling._________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!
Laramie
Daedalian Member

 Posted: Wed Jan 19, 2005 2:10 pm    Post subject: 4 Well, the first one is 58573 and the second one is one of 112, 336, and 448.
Highest Prime
2^43112609 - 1

 Posted: Wed Jan 19, 2005 2:13 pm    Post subject: 5 Did somebody call? I've gotten that the combinations are 58573 and either 336 or 448 ... ... but unless the special performer is the Strasburg, ND high-school marching band, I'm stumped - and Google is proving no help. H'
Daedalian Member

 Posted: Wed Jan 19, 2005 2:24 pm    Post subject: 6 Excellent solving! However, the second stage has to be solved. Note the last line of the message. There are no zip codes involved in this..._________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!
Highest Prime
2^43112609 - 1

 Posted: Wed Jan 19, 2005 2:43 pm    Post subject: 7 Googling "congenitally productive" produces a grand total of 0 hits. (Wow ... I didn't think there was such a thing in Google any more! Does this mean that when this GL page next gets crawled, that phrase will become a Googlewhack? To potentially be involved in the making of Internet history ... ah, the excitement!) Trying various forms of the unique words in the last line with the determined combinations likewise yields nothing meaningful. Perhaps another clue is in order? H'
Laramie
Daedalian Member

 Posted: Wed Jan 19, 2005 2:48 pm    Post subject: 8 Observation: We can turn the numbers upside down to get ELSBS and either BHH or GEE. Those don't seem to anagram to anything useful (unless you count "L' Bee Gees" ).
Daedalian Member

 Posted: Wed Jan 19, 2005 8:53 pm    Post subject: 9 But sire, that is the clue! Think about it and its meaning carefully. (There is a slight play on words - Ed.) Now you have the combinations, what might one do next? The fact that one of the numbers is prime does carry some significance in the first place... (and I'm sure (s)he'd be chuffed at being confused with a marching band from a high school in North Dakota... )_________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!Last edited by KomradRikardo on Thu Jan 20, 2005 6:25 am; edited 1 time in total
dave10000
Tinhorn

Posted: Wed Jan 19, 2005 9:39 pm    Post subject: 10

 H' wrote: Does this mean that when this GL page next gets crawled, that phrase will become a Googlewhack.

Nope. A Googlewhack must consist of unquoted words, not a 2-word phrase.

On a related topic, GUILLOTINED PRIAPISM is no longer a Googlewhack, as one of the pages resulting from last year's Mystery Hunt is now indexed. (And oh, how sure I was that GOOGLEWHACK was the solution to that one when I suggested it last year.)
Laramie
Daedalian Member

 Posted: Tue Jan 25, 2005 8:43 pm    Post subject: 11 Bumpity-bump
Daedalian Member

 Posted: Tue Jan 25, 2005 10:05 pm    Post subject: 12 Cheers, Laramie. BTW I can't really help out a lot more on this one because any further hints beyond those already given would essentially be a spoiler. (Obs: IMHO - Ed.)_________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!
Daedalian Member

 Posted: Sat Nov 11, 2006 8:19 am    Post subject: 13 This has nothing whatsoever to do with the above._________________-- KomradRikardo aka E.R. May your puzzles be challenging and your solutions be rewarding!
baraka
Daedalian Member

 Posted: Sun Nov 12, 2006 11:26 pm    Post subject: 14 Well, I am thinking that Kylie Minogue will be performing. Arrived at by multiplying the two combinations together, 58573 and 336, ("productive") and getting 19680528. And Kylie Minogue was born on May 28, 1968. ("congenitally productive")
Daedalian Member

jesternl
Yankee Doodle Dutchie

 Posted: Wed Jul 01, 2009 4:14 pm    Post subject: 16 the 5th number is 90 I think. But then I run into the following. spoiler the 1st number is 1000, and the 3rd and 9th number are divisible by 1000, so x000 (clue 3). Then take clue 9: "The product of its first two digits is equal to the number comprised of its first three digits minus the fifth number". This product is 0 since the 2nd digit of the 9th number is 0. so x times 0 = x00 (since we don't yet know the first digit of the number) - 90. impossible. the 5th number cannot end in 00, since there are no repeated digits in the it, so even if it is not 90, it'll never work. Were do I go wrong?
referee
June 21st, 2004 Member

 Posted: Wed Jul 01, 2009 7:49 pm    Post subject: 17 There are ten numbers._________________Jan 21st, 2008: The pillaging continues. Mar 4th, 2008: Rest in Peace, Gary Gygax. May your dice always roll a natural 20 wherever you are. Be the Ultimate Ninja! Play Billy Vs. SNAKEMAN today!
ralphmerridew
Daedalian Member

 Posted: Wed Jul 01, 2009 10:27 pm    Post subject: 18 The numbers are: 1: 1000 2: 8400 3: 5000 4: 5500 5: 810 6: 7500 7: 2234 8: 4260 9: 8500 10:5000 Either the line "9: The product of its first two digits is equal to the number comprised of its first three digits minus the fifth number." or the entire fifth clue is redundant.
jesternl
Yankee Doodle Dutchie

Posted: Thu Jul 02, 2009 3:44 pm    Post subject: 19

 referee wrote: There are ten numbers.

Well D'oh
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year by All usersbarakadave10000Highest PrimejesternlKomradRikardoLaramieralphmerridewrefereeyuethomas Oldest FirstNewest First
 All times are GMT Page 1 of 1

 Jump to: Select a forum Puzzles and Games----------------Grey Labyrinth PuzzlesVisitor Submitted PuzzlesVisitor GamesMafia Games Miscellaneous----------------Off-TopicVisitor Submitted NewsScience, Art, and CulturePoll Tournaments Administration----------------Grey Labyrinth NewsFeature Requests / Site Problems
You cannot post new topics in this forum
You can reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum