An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

Can you fill the blank with the correct number?

6 30 870 756030 _____

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

What does below rebus means ?

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

I am a ten letters word
The first four letters have the power to rule,
Next, four-letter can be eaten.
The next three-letter represents a lady.
I can fly as well

what am I looking for?

If eleven plus two equals one, what does nine plus five equal?

What begins with T, ends with T, and has T in it?