Which sentence is correct to describe one book on the table?

• There is a book on the table.
• There are a book on the table.
• There is books on the table.
• There are book on the table.

There are three chairs in the living room. Is the sentence grammatically correct?

What is the correct negative form for multiple objects on a shelf?

• There isn't any books on the shelf.
• There aren't any books on the shelf.
• There is not books on the shelf.
• There are no any books on the shelf.

Which sentence is grammatically correct to describe a cat under the sofa?

• There is many people in the house.
• There are a person in the kitchen.
• There is a cat under the sofa.
• There are much food on the table.