Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?

You find yourself in a strange place guarded by two guards.One of the guard always say truth while other always lies.You don't know the identity of the two.You can ask only one question to go out from there. What should you ask?

What word is pronounced the same if you take away four of its five letters?

What has a ring but no finger?

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.

In a chess board, the queen piece can move horizontally, vertically and diagonally freely. The picture represents the same.Can you place 8 queens on the board in a manner that none of the queens can attack each other?

Once upon a time, there was a castle on a square island. The entire island was surrounded by a 14m wide trench. The Romans had wanted to invade the castle and had brought a few wooden planks along with them to facilitate themselves in crossing the moat. The planks were however found to be only 13m long.

The Romans still managed to cross the trench. How did they do it?

What has no start, end, or centre?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

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