What's the only room from which no one can enter or leave

Before reading ahead, you must know the fact that only one of the people here is telling the truth.

A says that B is lying.
B says that C is lying.
C says both A and B are lying.

Can you find out who is speaking the truth?

I am a five-letter word under you,
Remove the first letter and I am above you,
Remove the second as well and I am around you.

Who am I?

There are forty elephants and they have forty-fore heads. How can this be possible?

Yesterday I fell from 30 feet high ladder but I don't get hurt. Why?

Which of the following words don't belong in the group and why?
CORSET, COSTER, SECTOR, ESCORT, COURTS

Take 9 from 6, 10 from 9, 50 from 40, and leave 6.

How Come ??

You see a mathematical expression in the picture. Can you think of a movie that this expression refers to?

A maths symbol is hidden in the below Bar Graph. Can you decipher it?

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?