There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Consider this: Arnold Schwarzenegger has a big one. Michael J. Fox has a small one. Prince doesn’t have one. The Pope has one but never uses it. Bill Clinton has one and uses it all the time. What is it?

It can't be seen, can't be felt, can't be heard, and can't be smelt.
It lies behind stars and under hills, And empty holes it fills.
It comes first and follows after, Ends life, and kills laughter.
What is it?

There is a box in which distinct numbered balls have been kept. You have to pick two balls randomly from the lot.

If someone is offering you a 2 to 1 odds that the numbers will be relatively prime, for example
If the balls you picked had the numbers 6 and 13, you lose $1.
If the balls you picked had the numbers 5 and 25, you win $2.

Will you accept that bet?

Take away the whole and some still remain. What is it?

What number comes next in the series?

5 15 5 18 5 24 14 20 _

In which direction should the missing arrow point?

Look at the below sequence of letters and tell us what the next letter should be:

O T T F F S S ?

I am the beginning of everything, the end of everywhere. I'm the beginning of eternity, the end of time and space. What am I?

Solve the following series:
AZ, GT, MN, __, YB