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Five Sentences (Posted on 2004-10-12) Difficulty: 3 of 5
Which of the following 5 sentences are true?

a) It is not the case that 2 consecutive sentences are both false.
b) There are fewer false than true sentences.
c) It is not the case that 3 consecutive sentences are all false.
d) It is not the case that 2 consecutive sentences are both true.
e) There are exactly 3 false sentences.

See The Solution Submitted by Brian Smith    
Rating: 3.2308 (13 votes)

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solution | Comment 20 of 34 |
My logic flow went like this:  right away I saw that [A] and [D] contradict so one of them must be true.  [A] states that there would be 2 true sentences in a row which must be false b/c there is only one true sentence.  Therefore, because [A] contradicts [D], the sentence [D] is true.
  Posted by Vince on 2004-11-29 15:47:41
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