While I was catching up on these puzzles, I noticed the posts for this one are all about interpretation, with no solutions!
Quote:
Originally Posted by Chris Card
If A is lying then it's not true that C and D are lying, which means C or D or both are telling the truth.
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Quote:
Originally Posted by R.D. Silverman
...the negation of "C and D are lying" is C *or* D is telling the truth and not "C *and* D are telling the truth".
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If the puzzle is evaluated in this way then:
A is telling the truth means that
C and
D are lying, which means that
B or D is telling the truth AND
[COLOR="Yellow"]C or
[COLOR="Lime"]E[/COLOR] is telling the truth[/COLOR], which means that
A and E are lying OR
C and E are lying AND
[COLOR="Yellow"]B and D are lying[/COLOR] OR
[COLOR="Lime"]A and B are lying[/COLOR].
A is telling the truth implies that either A is lying or D is both telling the truth and lying. So A is lying.
Evaluating the other suspects statements in a similar way gives two possible solutions:
If B and D are telling the truth, then A, C, and E are lying.
If C and E are telling the truth, then A, B, and D are lying.