# Truth seeking

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

1. ### longboatWell-Known Member

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?

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2

1

3

5. ### longboatWell-Known Member

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

6. ### SparkielevWell-Known Member

If it's a Hillman imp I don't want it

7. ### candoabitofmoststuffActive 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. ### btiw2Well-Known Member

Exactly one statement is true.
Letâ€™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. ### IsitreallyWell-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. ### SparkielevWell-Known Member

that's what I thought

11. ### Harry StottleActive Member

It's in box 3

12. ### IsitreallyWell-Known Member

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

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13. ### Harry StottleActive 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. ### candoabitofmoststuffActive 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. ### Mike83Active Member

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