Fill in the blank with suitable modal.

Sir, ____ you prefer tea or coffee?

would

The correct answer is Option (2) → would

The complete sentence is: "Sir, would you prefer tea or coffee?"

The modal verb would is used here to make a polite offer or inquiry about preference.

• Would you prefer... is the standard and most courteous way to ask someone to choose between options.

• Could is used for ability or polite requests (Could you open the door?).

• Can is used for ability or informal requests (Can you help me?).

• May is used for permission or possibility (May I sit here? or It may rain.).