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Three Logical Doors

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Edited by Richard Walker, Tuesday 10 February 2026 at 17:17

Here's a puzzle posted by Presh Talwalkar, which he found posted on Brilliant (although it has been posted in multiple other places as well). I hadn't seen it before and think it's rather nice.

Originally it was about three boxes one of which had a car in it but it put me in mind of the well-known Monty Hall problem (three doors, once of which has a car behind it) so I even though the puzzles are quite different I couldn't resist going with doors.

In the picture I have drawn you see three doors, one of which hides a car. Each door has a statement attached to it and you are told that precisely one of these three statements is true.

Armed with this information can you deduce which is the door hiding the car? If so, you will win tonight's star prize!

Solution tomorrow.

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