European art is arranged into a number of stylistic periods, which, historically, overlap each other as different styles flourished in different areas. Broadly the periods are, Classical, Byzantine, Medieval, Gothic, Renaissance, Baroque, Rococo, Neoclassical, Modern, Postmodern and New European Painting.
This is called an X logic puzzle. You use the clues to figure out the answers and in this particular case, you are trying to figure out the girls' first and last names and the instrument they play.