I am quite hot but become too cold if you remove the first two letters. What am I?

Eight of us go fourth, not back, to protect our king from an attack. What are we?

Can you place six X (crosses) in below board without making three in a row in any way ?

It is a six-letter word.
The first four letters are me.
The second and last letters are the same.
The fourth second and last letter is payment.

Who is it?

What is the next shape from answers A, B, C, and D figure?

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.

Pronounced as one letter,
And written with three,
Two letters there are,
And two only in me.
I am double, I am single,
I am black blue and grey,
I am read from both ends,
And the same either way.

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

You see me once in June, twice in November, and not at all in May. What am I?

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?