A: What kind of books _________ ? - B: Science fiction and detective stories.
-you like reading
-do you like reading
-would you like read
-you would like to read
-you like reading
-do you like reading
-would you like read
-you would like to read
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Dependiendo en el contexto de la pregunta, la respuesta cambia. Pero, en este caso hay mas probabilidades de que sea la segunda; Do you like reading. Esto debido a que si la pregunta fuera ''You would like to read'', es mas probable que diga Or, y no And.
Oración con la respuesta agregada: Q: What kind of books do you like reading?
A: Science fiction and detective stories.
¡Saludos!