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.


Logain Potpourri V

I) Roller Coaster Mayhem


This one is best done in Excel to work out the math. The answer is 21 times in line A and 20 times in line B for a total time of 1094 minutes each.  The trick to solving this correctly is to realize that the person who stands in the corner of each hallway actually shows up in both the vertical and horizontal corridors. Without this assumption, lines A & B do not even converge on an exact time.



II) Lateral – The Day Off


He wasn’t taking a day off from work, but rather a day off from “working out” either training or doing some exercise routine.



III) Converting The Series


The simple sequence to convert is just 1,2,3,4,5..etc

Writing them as full words you get:











The converted series is the Roman numeral value spelled in each word…if one exists. (ie. SIX = 9) The number ELEVEN has L and V separated though, and the fix is to multiply when this happens (ie. 50x5 = 250).


The next time this happens is thirty-five with I and IV. As the puzzle stated “the problem is just like the last one”

1x4 = 4, which is 14 iterations away (around a dozen)



IV) Incompletely Finished


Unscambled you get:

Yotta, zetta, exa, peta, tera, giga, mega, kilo, hecto, deca, no prefix, deci, centi, milli, micro, nano, pico, femto, atto, zepto, yocto


The no-prefix measurement is missing, but really it can’t be included so “nothing” is missing.  They are all the metric prefixes for all forms of measurement.

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