A swan sits at the center of a perfectly circular lake. At an edge of the lake stands a ravenous monster waiting to devour the swan. The monster can not enter the water, but it will run around the circumference of the lake to try to catch the swan as soon as it reaches the shore. The monster moves at 4 times the speed of the swan, and it will always move in the direction along the shore that brings it closer to the swan the quickest. Both the swan and the the monster can change directions in an instant.
The swan knows that if it can reach the lake's shore without the monster right on top of it, it can instantly escape into the surrounding forest.

How can the swan successfully escape?

John named his first son Alpha, second Beta, third Charlie and fourth Delta. What is the fifth son's name?

What is the fastest way to double your money?

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

The doctor prescribed you to take one pill from the bottle every half an hour. The bottle is now left with only three pills.

How long do you think you have before you run out of pills?

I was speeding and ran through a stop sign, yet two traffic officers who were there do nothing about it.

why?

Which number should replace the question mark?

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Can you find out the number that should replace the question mark with a valid reason?

Use only one mathematical symbol and all numbers (0-9) to get a sum of 99