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12 on foreheads (Posted on 2008-12-17) Difficulty: 3 of 5
Two players, A and B, both have the number 12 written on their foreheads.

Each one sees the number on the forehead of the other one, but does not know his own number.

A third person, C, tells them that the sum of their two numbers is either 24 or 27 and that it concerns only two positive integer numbers greater than zero.

Then C asks again and again alternating A and B whether they can determine the number on their foreheads.

A: No.
B: No.
A: No.
B: No.
A: No.

After how many “no"s, can one figure out his own number? Or there is no way, after all?

  Submitted by pcbouhid    
Rating: 4.0000 (1 votes)
Solution: (Hide)
After 7 "noīs" itīs possible to B figure out his number. See Steve Hermanīs perfect reasoning here.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSpecific SolutionSteve Herman2008-12-17 21:11:14
Hints/TipsThe Undiscovered Numbers (spoiler)Steve Herman2008-12-17 12:44:05
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