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Extraordinary Characteristics (Posted on 2012-11-06) Difficulty: 3 of 5
Adam, Brad, and Cole are three extraordinary men, each having exactly three extraordinary characteristics.
  1. Two are extraordinarily intelligent, two are extraordinarily hand-some, two are extraordinarily strong, two are extraordinarily witty, and one is extraordinarily empathic.

  2. Of Adam it is true that:
    • If he is extraordinarily witty, he is extraordinarily handsome.
    • If he is extraordinarily handsome, he is not extraordinarily intelligent.

  3. Of Brad it is true that:
    • If he is extraordinarily witty, he is extraordinarily intelligent.
    • If he is extraordinarily intelligent, he is extraordinarily hand-some.

  4. Of Cole it is true that:
    • If he is extraordinarily handsome, he is extraordinarily strong.
    • If he is extraordinarily strong, he is not extraordinarily witty.
Who is extraordinarily empathic?

No Solution Yet Submitted by K Sengupta    
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Solution I'm so witty (spoiler) | Comment 2 of 4 |
o from #4, If C is extra-witty, then he is not extra-strong, so he is not extra-handsome, therefore he must be empathetic (because he has exactly 3 extraordinary characteristics)

o On the other hand, if C is not extra-witty, then A and B are.  And this means that A and B are both extra-handsome (from 2 and 3). And this means that in addition to not being extra-witty, C is also not extra-handsome.  Therefore, C is extra-empathetic.  (because he has exactly 3 extraordinary characteristics)

Therefore, in either case, it is C who is extra-empathetic.  Final answer.

/*****************************************/

By the way, there are many clues that were not needed to make this determination.  We did not need to know that:
a) Adam has exactly three extraordinary characteristics.
b) Brad has exactly three extraordinary characteristics.
c) Two are extraordinarily intelligent
d) Two are extraordinarily strong
e) If Adam is extraordinarily handsome, he is not extraordinarily intelligent.




  Posted by Steve Herman on 2012-11-06 22:27:10
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