Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Can you solve the below tricky visual equation?

A man is walking down a road with a basket of eggs. As he
is walking he meets someone who buys one-half of his eggs
plus one-half of an egg.
He walks a little further and meets another person who buys
one-half of his eggs plus one-half of an egg.
After proceeding further he meets another person who buys
one-half of his eggs plus one half an egg. At this point, he
has sold all of his eggs, and he never broke an egg.
How many eggs did the man have to start with?

If we add four times the age of John four years from now to five times his age five years from now we get ten times his current age.

How old will John be two years from now?

What can run but never walk, have a mouth that never speaks, have a head that never weeps, and have a bed but never sleeps?

What is the riddle which can be asked all day with a different correct answer each time.

There were three women in all the swimming costumes!
One was happy and the other two were sad!
The happy one was crying and the sad ones were smiling.
Why was this?

You can find some missing letters in the picture. By placing two particular letters in the spaces, you can form a nine lettered word beginning from one of the corners and going clockwise direction to the middle. Can you find out the letters and the word?