Riddle of Lady and Tiger Room Signs
Two room doors have conflicting signs about the presence of a lady and a tiger. One sign must be true and the other false. By logical deduction, it is determined that the lady is behind the room associated with the true sign. This classic logic puzzle highlights the importance of logical reasoning in solving complex problems.
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Discrete Math: Logic Exercise 44
Exercise Suppose there are signs on the doors to two rooms. The sign on the first door reads In this room there is a lady, and in the other one there is a tiger ; and the sign on the second door reads In one of these rooms, there is a lady, and in one of them there is a tiger. Suppose that you know that one of these signs is true and the other is false. Behind which door is the lady?
Solution If the first sign were true, then the second sign would also be true. In that case, we could not have one true sign and one false sign. Rather, the second sign is true and the first is false; there is a lady in the second room and a tiger in the first room.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Levin A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
