How many times do a clock's hands overlap in a day ?

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?

A wealthy man lives alone in a small cottage. Being partially handicapped he had everything delivered to his cottage. The mailman was delivering a letter one Thursday when he noticed that the front door was ajar. Through the opening he could see the man's body lying in a pool of dried blood. When a police officer arrived he surveyed the scene. On the porch were two bottles of warm milk, Monday's newspaper, a catalog, flyers, and unopened mail. The police officer suspects it was foul play. Who does he suspect and why?

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *

How can you make the following equation true by drawing only one straight line: 5+5+5=550 ?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Using eight eights and addition only, can you make 1000?

Can you fill the blank with the correct number?

6 30 870 756030 _____

I am taken from a mine and shut up in a wooden case, from which I am never released, and yet I am used by almost every person. What am I?