If a doughnut shaped house has two doors to the outside and three doors to the inner courtyard, then it's possible to end up back at your starting place by walking through all five doors of the house without ever walking through the same door twice.

True or False?

False

Explanation:

The three doors in the courtyard would make it impossible for reaching the starting place again. If we pass through the three doors which are located to the inner courtyard we will be directed to a different space and not to the area where we started. Most probably, a person will end up in the courtyard and to the outside door. Hence, the statement is false. We won't end up where we started.