Explanation:

- Option 1: the cricket bat

- This phrase is grammatically correct. It's a noun phrase that refers to the item in question.

- Option 2: does

- This word is part of the auxiliary verb that's needed to form a question in the present tense. There is nothing wrong with "does" in this structure.

- Option 3: How many

- This phrase is used to ask about quantity, typically a countable noun. Here, the correct phrase should be "How much" to inquire about the price of the cricket bat, as price is an uncountable concept.

- Answer: Option 3 - How many

- Option 4: cost

- This is the main verb of the question and is used correctly in the context.