Alex, Bert, and Carl are running for mayor in a town populated by knights and liars. 200 people from the town were gathered as a polling group. Each person in the group favors exactly one candidate.

The first surveyor asked each person "Will you vote for Alex?". The second surveyor asked each person "Will you vote for Bert?". The third surveyor asked each person "Will you vote for Carl?".

The results were as follows: 112 said they would vote for Alex, 82 said they would vote for Bert, and 64 said they would vote for Carl.

How many knights were in the group? At least how many knights said they would vote for Alex? For Bert? For Carl?

This problem is a math problem disguised in a logic suit.

Each Knight would have answered affirmatively once and each Liar twice.  So K+2L = 112+82+64  and K+L = 200.

From that you get K=142

Posted by fractaloon on 2005-09-30 14:54:35