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?

A girl was sitting in her hotel room when she heard a knock on the door. She opened the door and found that a man was standing outside.
The man said, "Oh! I am really sorry, I thought this was my room."
He then walked through the corridor to the elevator. The girl did not know the man. She closed her door and called security asking them to apprehend the man.
What made her suspicious of that man? He might have been genuinely mistaken.

These types of puzzles are known as charades. What you have to do is to find two words that are referred to in the first stanza and the second stanza and put them together to form the third word in the third stanza.

Just for example, if my first refers to 'off' and my second refers to 'ice', then my whole will be the 'office'.

My first is present - future's past -
A time in which your lot is cast.

My second is my first of space
Defining people's present place.

My whole describes a lack of site -
A place without length, breadth, or height.

Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
=========
T O W E L
=========

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

What always comes into a house through the keyhole?

What is the word or phrase?

A man and a dog were going down the street. The man rode, yet walked. What was the dog’s name?

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?