Общий - Do different people like different kinds of music?
Специальный - What do different people like? / What kinds of music do different people like?
Вопрос к подлежащему - Who likes different kinds of music?
Альтернативный - Do different people like different kinds of music or only one kind of music?
Разделительный (tag-question) - Different people like different kinds of music, don't they?
