What is harder to catch the faster you run?

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

For an extra income, John decided to work at a Hotel for one hour daily. The manager offers him that they will pay him $11 after every 11 days.
However, John offered a different proposition to the manager. The offers stand as:
He will be paid just a penny on his first day.
Two pence will be paid on the second day,
Four pence will be paid on the third day.
And so on till the 11th day.

Should the Hotel manager accept his offer?

There is a family that live in a round house. The two parents go out for a movie and leave a babysitter to watch their son. They come back and the kid was not there. Some one kidnapped him. The maid said she was cleaning in a corner. The cook said he was making pizza. The babysitter said she was getting a board game. Who kidnapped him.

Which English verb becomes past tense just by rearranging the letters?

I am dry when I go inside, but wet when I am pulled outside.
The longer I am inside, the stronger I get
When I am completely out, I am wet and I literally sag
Who am I?

Who can jump higher than a Mountain?

What goes up but never comes down?

What do you see in the image below

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?