Can you name some countries which do not have the alphabet 'A' in them?

Can you find the missing letter in the sequence?
S - T - I - L - ? - T - F - Y - C

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?

Take away the whole and some still remain. What is it?

John was piloting a plane behind a car but was never able to overtake it. Why?

What do you get if you add 2 to 100 four times?

You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain

A Man gave one of his sons 10 cents and another son was given 15 cents. What time is it?
Hint: Figure out the relation between time and number, is not so easy..:)

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?