Sometimes you would have to reverse the question though. Lets say there's Bob and Bill. Bob asks Bill what his(Bill's) name is. For Bill to answer this question correctly, he would have to change it.

Bob: "What is your name?"
Bill: "What is my name?"

Because Bob asking "what is your name?" is the same as Bill asking "what is my name?" and they have the same answer, whereas if Bill replied with "what is your name?", the answer would be Bob instead of Bill, so they wouldn't both be the same. Whew, hope you caught that.

BTW I did this today on my homework for world history. My teacher was not impressed.