If you were single and a beautiful woman was into you but you knew beforehand that you don't have much in common with her, would you still be willing to go on a date?

Like if it was someone who you worked with, and she was vibrant, loud, the party type, foul mouthed, and you were the opposite, or if she was like the choir girl type, innocent, you aren't, and she seemed to like different things than you, could you do it, or would it be a waste of time? If you have done it, how did it go? I know personality and having things in common is important for many people.