Riddles

You answer me while I never ask you a question. What am I?

[A telephone]

If you have it, you want to share it. If you share it, you don't have it. What is it?

[A secret]

What kind of coat can be put on only when wet?

[a coat of paint]

Big as a biscuit, deep as a cup, Even a river can't fill it up. What is it?

[a kitchen strainer]

What question can you never answer "yes" to?

["Are you asleep?"]