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?

I am under you when I am whole.
I shift above you if you remove the first letter.
I come all around you if you remove the second as well.

Can you tell me who I am?

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?

What is the largest number you can write with just 3 digits?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

Peter wakes up daily to pick up his cycle and crosses the border between Spain and France daily with a bag on his shoulder. He is investigated daily by the officials but they don't find anything suspicious.

If we tell you that he is smuggling something what would it be?

Spot what is wrong here in below Picture?

What's the next in the series?

H, Be, F, S, Mn, Kr, In, Gd, Tl, ?

A Car driver was heading down a street in Washington. He went right past a stop sign without stopping, he turned left where there was a 'no left turn' sign and he went the wrong way on a one-way street. Then he went on the right side of the road past a cop car. Still, he didn't break any traffic laws. Why not?

In particular commonwealth games, a female participant won silver and gold medals for a single event.

How can this be possible?