音楽は好きですか? = Do you like music (as opposed to other stuff)?
音楽が好きですか? = Do you like music (or not)?
So both are correct, depending what you actually what to ask.
BTW, the colloquial version is: 音楽好き?
October 12, 2012
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Both correct, it's depend on which part do you want to emphasize .
October 12, 2012
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