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  1. 03-05-2009, 02:38 #1
    Sasaki Kojiro
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    Default Solve this problem

    Since we often talk about logic in mafia games I thought I'd post some puzzles. Here's a starter problem:

    Four cards are presented: E, C, 2, and 5. There is a letter on one side of each card and a number on the other side. Which card(s) must you turn over to determine whether the following statement is false? "If a card has a vowel on one side, then it has an even number on the other side."

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  2. 03-05-2009, 02:42 #2
    Lord Winter
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    Default Re: Solve this problem

    Spoiler Alert, click show to read: 
    It would have to be the E, right? Since all others would prove nothing. Seems to simple though
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  3. 03-05-2009, 04:20 #3
    Gaius Scribonius Curio
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    Default Re: Solve this problem

    Spoiler Alert, click show to read: 
    E, obviously.

    And I think 5 as well. If its reverse is a vowel that would prove the statement false.
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  4. 03-05-2009, 04:20 #4
    Askthepizzaguy
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    Default Re: Solve this problem

    Spoiler Alert, click show to read: 
    You must turn over E, C, and 5

    If ANY of the cards have a vowel (besides the 2) on the OTHER side, then the statement is false,
    and if the 2 does not have a vowel on the other side, it doesn't matter. It only asks about the status of the vowel cards, and if the card with the 2 has a vowel, that wouldn't prove the statement false either.

    You need to determine what the status is of all the cards that do not have an even number facing up to determine if the statement is false.



    Edit: Nevermind I was wrong, it states that all the cards have a vowel on one side and a number on the other
    Last edited by Askthepizzaguy; 03-05-2009 at 04:39. Reason: D'oh!
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  5. 03-05-2009, 04:31 #5
    Sasaki Kojiro
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    Default Re: Solve this problem

    Three replies three different answers

    One of you is right...here is the problem in a different form:

    Let the cards show "beer," "cola," "16 years," and "22 years." On one side of each card is the name of a drink; on the other side is the age of the drinker. What card(s) must be turned over to determine if the following statement is false? "If a person is drinking beer, then the person is over 19-years-old."
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  6. 03-05-2009, 04:34 #6
    Strike For The South
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    Default Re: Solve this problem

    Spoiler Alert, click show to read: 
    beer and 16 years
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  7. 03-05-2009, 04:37 #7
    Askthepizzaguy
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    Default Re: Solve this problem

    Quote Originally Posted by Sasaki Kojiro View Post
    Three replies three different answers

    One of you is right...here is the problem in a different form:

    Let the cards show "beer," "cola," "16 years," and "22 years." On one side of each card is the name of a drink; on the other side is the age of the drinker. What card(s) must be turned over to determine if the following statement is false? "If a person is drinking beer, then the person is over 19-years-old."
    Spoiler Alert, click show to read: 
    beer - unknown age (side opposite)
    must turn over to prove false.

    cola - unknown age (side opposite)
    do not need to turn over to prove false (only concerned with beer drinker's ages)

    16 years - unknown beverage (side opposite)
    must find out what they are drinking

    22 years - unknown beverage (side opposite)
    Does not matter what they are drinking, because they are over the proper age.



    So.... The beer card and the 16 year old card.
    Last edited by Askthepizzaguy; 03-05-2009 at 04:37.
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  8. 03-05-2009, 15:51 #8
    Yoyoma1910
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    Default Re: Solve this problem

    E & 5, Beer & 16.

    My kingdom for a .
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