Damsel In Distress

Logic Level 1

There are 2 rooms, each with a label that is either true or false.

There's a princess inside one of these room, and a monster inside the other room.

The labels read:
Room 1 : One of these labels is true, and the other is false.
Room 2 : This room has a princess inside.

Which room has a princess?

Room 1 Room 2

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2 solutions

Hua Zhi Vee
May 19, 2016

Relevant wiki: Truth-Tellers and Liars

If Room 1's label is true, that means Room 2's label is false. That means the princess is in Room 1.
If Room 1's label is false, that means Room 2's label is false. That means the princess is in Room 1.

Either way, the princess is in Room 1.

Geneveve Tudence
May 28, 2016

Let's try the maximum n ways!

If both room labels are true, then clearly the label in room 1 does not guarantee/support the assumption.

If both room labels are false, then the princess is in the room 1.

If room1 label is true (label: One of these labels is true, and the other is false. ), then the room2 label is false which means the princess is in room one.

If room1 label is false, then room2 label must also be false (to satisfy the fact that the label in room 1 is false), which means the princess is in the room 1.

If room 2 label is false, room 1 label is either true or false.

i. if true. then room2 is really false. the princess is in room 1.

ii. if false, then room2 must also false. the princess is in room 1.

If room 2 label is true, then room1 is either true/false.

i. if true, then room 2 cannot be true. the princess is in room1.

ii. if false, then room 2 cannot be true. the princess is in room 1.

therefore the princess is in room 1.

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