Can you identify the hidden rebus in the image below?

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?

What does the following represent?

N N N N N N N

A A A A A A A

C C C C C C C

Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9.

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

There are nine letters in the below-given diagram. You have to form a nine-letter word using these letters.

In the given figure, you can see that four match sticks are used to form a square. Can you form five squares by using six matches?

Can you count the number of squares in the figure below?

What kind of tree can you carry in your hand?

Two boys wish to cross a river. The only way to get to the other side is by boat, but that boat can only take one boy at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both boys manage to cross using the boat.

How?