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Thread: hmm...more tricky word probs...

  1. Jan 15th, 2004, 07:53 PM #1
    dolor
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    hmm...more tricky word probs...

    Four suspects of a crime made the following statements to the police:

    Andy: Carl did it
    Bob: I did not do it.
    Carl: Dave did it.
    Dave: Carl lied when he said I did it.

    Given that exactly one of them "did it" and that exactly one told the truth. Who did it?
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  2. Jan 15th, 2004, 08:32 PM #2
    WorkHorse
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    If Bob told the truth, that means he did it. Therefore, Dave would have also told the truth about Carl lying that he did it. We can have two truth speakers. Therefore, Bob lied--and he did it. Dave told the truth.

    Another way: If Dave had lied, both Bob and Carl were telling the truth, so Dave could not have lied. Because Dave told the truth Bob must have lied--and did it.
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  3. Jan 16th, 2004, 11:03 AM #3
    kedaman
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    also Andy could have done it, Dave speaking the truth
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    reverse (p (6*9)) where p x|x==0=""|True=chr (48+z): p y where (y,z)=divMod x 13
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  4. Jan 16th, 2004, 12:53 PM #4
    fundu
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    In short Bob did it & the 4th person in list told the truth.

    Thread resolved!!!
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  6. Jan 16th, 2004, 09:30 PM #5
    WorkHorse
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    Originally posted by kedaman
    also Andy could have done it, Dave speaking the truth
    Then both Dave and Bob told the truth. Not allowed. See my post: If Dave told the truth, then Bob must have lied--and did it. (My first way is a bit jumbled, just look at the "another way:" bit).
    Last edited by WorkHorse; Jan 16th, 2004 at 09:36 PM.
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  7. Jan 16th, 2004, 09:42 PM #6
    kedaman
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    you're right, didn't think straight there..
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    writing software in C++ is like driving rivets into steel beam with a toothpick.
    writing haskell makes your life easier:
    reverse (p (6*9)) where p x|x==0=""|True=chr (48+z): p y where (y,z)=divMod x 13
    To throw away OOP for low level languages is myopia, to keep OOP is hyperopia. To throw away OOP for a high level language is insight.
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