I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

There is a family that live in a round house. The two parents go out for a movie and leave a babysitter to watch their son. They come back and the kid was not there. Some one kidnapped him. The maid said she was cleaning in a corner. The cook said he was making pizza. The babysitter said she was getting a board game. Who kidnapped him.

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

What is the largest amount of money that you can possess in change and still if someone asks you for a dollar, you won't be able to give?

There’s a girl who has a large family. She has an equal amount of brothers and sisters, but each brother only has half as many brothers and sisters. What’s the correct amount of brothers and sisters?

The barber of Town shaves all men living in the town. No man living in the town is allowed to shave himself. The barber lives in that town. Who then shaves the barber of the town?

What has one letter and starts with an E?

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

The ages of a father and son add up to 66.
The father's age is the son's age reversed.
How old could they be?
(3 possible solutions).