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?

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

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.

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

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!)