Truth seeking

Discussion in 'Just Talk' started by longboat, Nov 4, 2018.

  1. longboat

    longboat Well-Known Member

    [​IMG]


    There are 3 boxes, exactly one of which has a car. You can keep the car if you pick the correct box!

    On each box there is a statement, exactly one of which is true.

    Box 1: The car is in this box.
    Box 2: The car is not in this box.
    Box 3: The car is not in box 1.

    Which box has the car?
     
    btiw2 likes this.
  2. KIAB

    KIAB Well-Known Member

  3. Mike83

    Mike83 Active Member

  4. Sparkielev

    Sparkielev Well-Known Member

  5. longboat

    longboat Well-Known Member

    Someone's won the car.
    But who, and why?
     
  6. Sparkielev

    Sparkielev Well-Known Member

    If it's a Hillman imp I don't want it
     
  7. candoabitofmoststuff

    candoabitofmoststuff Active Member

    Box 2.
    And I don't want Hillman Imp either... but if it's like my first car, a series 3C Minx... Azure blue with a starting handle, then I'll take it!

    Cando
     
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  8. btiw2

    btiw2 Well-Known Member

    Exactly one statement is true.
    Let’s look at them:
    Box 1: The car is in this box.
    Box 2: The car is not in this box.
    Box 3: The car is not in box 1.
    If the car is in 1. Then 1&2 would be true. So not that.
    If the car is in 3. Then 2&3 would true. So not this either.
    If the car is in 2. Statement 3 is true (and only that one).

    So 2.
     
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  9. Isitreally

    Isitreally Well-Known Member

    3.

    1 is a lie as stated by 3
    2 is true but no car
    3 is true so 1 not having the car only leaves 3
     
  10. Sparkielev

    Sparkielev Well-Known Member

    that's what I thought
     
  11. Harry Stottle

    Harry Stottle Active Member

    It's in box 3
     
  12. Isitreally

    Isitreally Well-Known Member


    Trouble is btiw2 has put more thought into it and has a plausible answer.
     
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  13. Harry Stottle

    Harry Stottle Active Member

    If box 1 is true then 2 is untrue and therefore it must contain a car, but there's only one car therefore 1 is untrue.
    If box 2 is true then 3 must be untrue and box I contains a car, but 1 is untrue, therefore the car is not in 1 or 2 so must be in 3
     
  14. candoabitofmoststuff

    candoabitofmoststuff Active Member

    Now now...
    Instructions say;"On each box there is a statement, exactly one of which is true."

    If It's in box 1, statements on both boxes 1 and 2 are true... so it ain't in box 1
    If it's in box 3, statements on both boxes 2 and 3 are true... so it ain't in box 3

    However, if it's in box 2... statements on both boxes 1 and 2 are false... but statement on box 3 is true.

    So it's in box 2

    Regards,

    Cando

    (I'm pretty sure I've got that all covered!)
     
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  15. Mike83

    Mike83 Active Member

    I went round in circles on that one.
    Cando explained it quite well though.
     

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