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One in Eight (Posted on 2014-09-29) Difficulty: 3 of 5
The words CHIMP and GLORY are encoded below.

 C      H      I      M      P
. .    . .    . .    x .    . .
. x    . .    . .    . .    . .
. .    . .    . .    . .    . .
. .    x .    . x    . .    x .


 G      L      O      R      Y
. .    . x    . .    . .    . .
. .    . .    . .    . .    . .
x .    . .    x .    . x    . .
. .    . .    . .    . .    . x

What word does the following code represent using the same rules?

 ?      ?      I      ?      ?
. .    . .    . .    . x    . .
x .    . .    x .    . .    . .
. .    . .    . .    . .    . .
. .    . x    . .    . .    x .


From Mensa Puzzle Calendar 2014 by Mark Danna and Fraser Simpson, Workman Publishing, New York. Puzzle for September 22.

  Submitted by Charlie    
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Solution: (Hide)

Consider the eight positions to be traversed in a counterclockwise direction. In CHIMP for example, the x has moved 5 positions counterclockwise from where it was under the C to where it was under the H, just as H is 5 positions in the alphabet beyond C. Likewise I is one position beyond the H, so the x advances only one position counterclockwise going from under the H to under the I, and so forth.

So in the unknown word, the letter before the I must have been 5 positions before I in the alphabet, or D. The one before that was 3 before D, or A. So far it's ADI??. Going forward now from the I, 6 positions in the alphabet later is O. And another 4 positions later, is S.

The word is ADIOS.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionDej Mar2014-09-29 15:46:15
SolutionPossible solutionLarry2014-09-29 15:28:17
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