Truth seeking

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

  1. longboat

    longboat Screwfix Select

    [​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 Super Member

  3. Mike83

    Mike83 Screwfix Select

  4. Sparkielev

    Sparkielev Screwfix Select

  5. longboat

    longboat Screwfix Select

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

    Sparkielev Screwfix Select

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

    candoabitofmoststuff Screwfix Select

    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
     
    Sparkielev and longboat like this.
  8. btiw2

    btiw2 Screwfix Select

    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.
     
    longboat likes this.
  9. Isitreally

    Isitreally Super 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 Screwfix Select

    that's what I thought
     
  11. Harry Stottle

    Harry Stottle Screwfix Select

    It's in box 3
     
  12. Isitreally

    Isitreally Super Member


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

    Harry Stottle Screwfix Select

    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 Screwfix Select

    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!)
     
    Mike83 and Sparkielev like this.
  15. Mike83

    Mike83 Screwfix Select

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

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