Problem #PRU-5033

Problems Mathematical logic

Problem

There are three doors with the following statements:

  1. Behind the second door there is a trap.

  2. Behind this door there is a trap.

  3. A trap is behind the first door.

Your guide says: There is treasure behind one of the doors exactly. The sign on that door is true, but at least one of the other ones will be false.
Which door will you open?