There are several questions here on quoting a question within a sentence, but most of them deal with the quote being at the end of the larger sentence. What if it's in the middle?
In many cultures, "How are you?" is often asked at the beginning of a conversation.
I can't really think of any other way to write this, except maybe to add a comma immediately after the quote, but having a question mark in the middle of a sentence just kind of niggles at me a bit. Is this correct?