Let's analyze option (b): AEF
A: Painting and music is art.
E: Painting is a form of art.
F: Music shows culture.
Step-by-step logic:
- Statement A introduces the idea that both painting and music are forms of art.
- Statement E reinforces this by specifying: painting is a form of art.
- Statement F builds a connection from music to culture, implying that art (through music) reflects culture.
So we have:
\[
\text{Painting and music} \Rightarrow \text{Forms of art (A and E)} \Rightarrow \text{Music reflects culture (F)}
\]
Thus, A, E, and F form a tightly knit logical set that aligns with a consistent theme: “art” (both painting and music) and its role in expressing culture.
Now evaluate the other options:
(a) BDF:
- B: Art is a symptom of culture.
- D: Music is a form of art.
- F: Music shows culture.
Although individually valid, they lack a direct foundational link like A or E which define the domain (art). The structure feels incomplete without A or E.
(c) ACE:
- C: Culture and art are complementary.
- A: Painting and music is art.
- E: Painting is a form of art.
Though thematic, it lacks the extension to how art reflects culture (which F provides).
(d) CEF:
- C: Culture and art are complementary.
- E: Painting is a form of art.
- F: Music shows culture.
E and F are distinct, and without a base statement like A, the bridge is weaker.
Conclusion:
Option AEF is the most logically consistent and well-structured group.