2, 3, 5, 9, 17, _ What is the next number in the sequence?

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?

What is the largest number you can write with just 3 digits?

Guess the hidden movie name?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

Complete the following series. It.s very logical:

1, 4, 5, 6, 7, 9, 11, __?

I have a mouth but I don't eat.
I have a bank but have no money.
I have a bed but i dont sleep.
I wave but have no hands.

Who Am I ?

Can you count the number of triangles in the given figure?

The person who makes it has no need for it; the person who buys it has no use for it. The person who uses it can neither see nor feel it. What is it?