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Fight (Posted on 2013-12-20) Difficulty: 2 of 5
Two of Anthony, Bernard and Charles are fighting each other.

(1)The shorter of Anthony and Bernard is the older of the two fighters
(2)The younger of Bernard and Charles is the shorter of the two fighters.
(3)The taller of Anthony and Charles is the younger of the two fighters.

Who is not fighting?

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution My money's on the short one (spoiler) Comment 1 of 1
If A is not fighting, then 
from (1) B is older than C
from (3) C is younger than B
This contradicts (2), so A is fighting 

If B is not fighting, then
from (1) A is older than C
from (2) C is shorter than A
This contradicts (3), so B is fighting

Therefore, C is not fighting.  Let's check.

If C is not fighting, then
from (2) B is shorter than A (and B is younger than C)
from (3) A is younger than B (and A is taller than C)
This is consistent with (1). 
A is the tallest of the three, but we do not know who is the shortest.  And A is younger than B who is younger than C, so there are no inconsistencies there either.

Case closed.

Edited on December 20, 2013, 6:47 pm
  Posted by Steve Herman on 2013-12-20 10:41:34

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