# 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
lexprod
NOT not a title

 Posted: Mon Mar 28, 2011 10:13 am    Post subject: 1 So here's a puzzle idea that started with amb and I polished it off and came up with examples. Given the large set of math fans here on the GL, I figure they can take it further than us two. The puzzles are a string of characters that represent a formula using roman numerals, with all operators, equals sign, and parentheses taken out. Your goal is to place them correctly. For example... XVII turns into X / V = II or 10/5=2 The idea is that these should all have singular and unambiguous answers. However certain answers may have trivial similar solutions, like when XI could be 11 or (10+1), or where .....IX could be ....=9 or .....-1=10, but they seemed pretty much impossible to avoid. Also the later puzzles in this set are much less thoroughly tested for having multiple solutions due to having high possible combinations and me being lazy. 1. XCX 2. IVIVXVI 3. IVVXX 4. VIIIVXV 5. VIIIVLX 6. CLIVCVI 7. LVICIVXI 8. VIXXXIII 9. XIIIIVXVII And number 10's kind of a bonus.... 10. VIIXXLII_________________I'll have a P please...
Jack_Ian
Big Endian

 Posted: Mon Mar 28, 2011 4:59 pm    Post subject: 2 I'll start with the easy ones 1. X = C / X 2. IV * IV = XVI 3. IV * V = XX 4. (V - II) * I * V = XV Probably not the intended solution
ralphmerridew
Daedalian Member

 Posted: Mon Mar 28, 2011 5:23 pm    Post subject: 3 Alternate answer to 4: V*II+I*V=XV
Guest*
Guest

 Posted: Mon Mar 28, 2011 7:04 pm    Post subject: 4 Or 4. V * II * I * V / X = V. Maybe multiplying by I should be disallowed.
Zag
Tired of his old title

 Posted: Mon Mar 28, 2011 7:11 pm    Post subject: 5 5. VIII * V - L = -X Also probably not the intended solution or just 5. VIII * V = L - X or 5. V * II * IV = L - XLast edited by Zag on Mon Mar 28, 2011 7:13 pm; edited 1 time in total
Guest*
Guest

 Posted: Mon Mar 28, 2011 7:13 pm    Post subject: 6 5. VI * II * V = LX. 6. (C + L) * IV / C = VI.
Zag
Tired of his old title

 Posted: Mon Mar 28, 2011 7:16 pm    Post subject: 7 10. V * II x X = L * II Using one of the X's as a multiplication symbol. or 10 V ^ II * X = X * L / II
Gomez
candid chimera

 Posted: Mon Mar 28, 2011 7:57 pm    Post subject: 8 For 1 you could have X x C = X^3
Sentran
Ray of Sucking Funshine

 Posted: Mon Mar 28, 2011 8:47 pm    Post subject: 9 Possible answer for 7: L*(V+I)/C=-I-V+X-I_________________Sentran "Speaking of double negatives, I haven't read greylab yet today." - Lifeinmomland
Zag
Tired of his old title

 Posted: Mon Mar 28, 2011 9:21 pm    Post subject: 10 or 7: L * VI / C = I / V * X + I
Guest*
Guest

 Posted: Tue Mar 29, 2011 6:54 am    Post subject: 11 Or 7. (L * (V - I) / C) * I * V / X = I, although again using multiplication by I
Jack_Ian
Big Endian

 Posted: Tue Mar 29, 2011 7:36 am    Post subject: 12 8. V * IX / X / X * II ≈ I 8. V - IX + X = X / II + I 9. XI - I + II + V = XVII
Jack_Ian
Big Endian

 Posted: Tue Mar 29, 2011 9:28 am    Post subject: 13 11. LXVIILXXIIIIXCVIIII (operators allowed: + - * / ^ = )
Zag
Tired of his old title

 Posted: Tue Mar 29, 2011 1:37 pm    Post subject: 14 It seems that there are always going to be too many options when it is that long. I only moved left to right on this one, never going back more than 3 letters once they were placed and only a little peeking ahead. LX /V /II *L /X -X + II = (II * X + C) / VI + II / I (checking) 60, 12, 6, 300, 30, 20, 22 = 120, 20, 22, 22
Jack_Ian
Big Endian

 Posted: Tue Mar 29, 2011 10:54 pm    Post subject: 15 I guess brackets aren't technically operators, but the solution shouldn't need them.
lexprod
NOT not a title

 Posted: Tue Mar 29, 2011 11:28 pm    Post subject: 16 These would probably work best if you gave the missing symbols I suppose, say "+ + =" or whatever._________________I'll have a P please...
Jack_Ian
Big Endian

 Posted: Wed Mar 30, 2011 12:14 am    Post subject: 17 I think that would make it too easy. I did specify that you should only need to add characters from the following list "+-*/^=" in order to get a solution though.
Jack_Ian
Big Endian

Posted: Wed Apr 06, 2011 4:25 pm    Post subject: 18

 Jack_Ian wrote: 11. LXVIILXXIIIIXCVIIII (operators allowed: + - * / ^ = )
The solution I had in mind was LXV^II + LXXII^II = XCVII^II (i.e. 65 2 + 72 2 = 97 2 )
Zag
Tired of his old title

 Posted: Wed Apr 06, 2011 5:02 pm    Post subject: 19 LOL. Like we were going to come up with that. If you had hinted about Pythagoras, perhaps.
Amb
Amb the Hitched.

 Posted: Wed Apr 13, 2011 6:01 am    Post subject: 20 I wondered about doing words as well: eg does a formula for VIVID, CIVIC, MIMIC, or MIX exist. Sadly there arent enough roman-numeral words to make this likely.
 Display posts from previous: All Posts1 Day7 Days2 Weeks1 Month3 Months6 Months1 Year by All usersAmbAnonymousGomezJack_IanlexprodralphmerridewSentranZag 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

Powered by phpBB © 2001, 2005 phpBB Group
Site Design by Wx3