What breaks yet never falls, and what falls yet never breaks?

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

Can you solve this amazing hard number series problem?
7, 8, 10, 12, 16, 18 ?

I have branches, but no fruit, trunk or leaves. What am I?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

One night, a man runs away from home. He turns left and keeps running. After some time he turns left again and keeps running. Later, he turns left one more time and runs back home—but when he gets home, he finds a man in a mask. Who was the man in the mask?

Identify the 10 differences between the two given pictures.

Why is 6 afraid of 7?

Intelligence Agency need to break the vault but the problem is that they are not able to break the vault.

On the vault, a text is written as:

31 11 33 33 43 45
21 25
31 24 11 31 51 41

To Break the code Intelligence Agency brings a mathematician named Joseph.
Minutes later he deciphers the code.

Whats the code?