2, 3, 5, 9, 17, _ What is the next number in the sequence?

What is both possible and impossible at the same time?

I don't get anymore wetter, no matter how much rain falls on me.

Can you replace the X (both small and big x) with the numbers between 1 to 19 such that all the rows of 3 numbers between X (big x) sum to 23?

You want to boil a two-minute egg. If you only have a three-minute timer (hourglass), a four-minute timer and a five-minute timer, how can you boil the egg for only two minutes?

How is a fly different from a mosquito?

How can one talk without saying a single word?

I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

I have a big mouth and I am also quite loud! I am NOT a gossip but I do get involved with everyone's dirty business.

The horse jumps over the king.
Strangely there is absolutely no scratch on him.

Can anyone explain, how is this possible?