Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

Find The Missing Number In the Sequence.
6 25 64 ? 32 1

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?

If you were to put a coin into an empty bottle and then insert a cork into the neck, how could you remove the coin without taking out the cork or breaking the bottle?

There was a competition where the contestants had to hold something. At the end of the event, the winner was a person who had no hands or feet. What was it that the contestants had to hold?

The day before yesterday I was 25 and the next year I will be 28. This is true only one day in a year. What day is my birthday?

What 5-letter word typed in all capital letters can be read the same upside down?

How can you spell "White of an egg" in one word?
Hint: I know you can spell coke, poke, and joke.

People put me on the table and cut me but do not eat me. What am I?