Syllogism (set inclusion): Decide which conclusion(s) logically follow from the statements. Statements: S1: All the harmoniums are instruments. S2: All the instruments are flutes. Conclusions: C1: All the flutes are instruments. C2: All the harmoniums are flutes. Choose the correct option.

Given data

• S1: Harmoniums ⊆ Instruments.
• S2: Instruments ⊆ Flutes.
• Conclusions: C1 “All flutes are instruments,” C2 “All harmoniums are flutes.”

Concept / Approach
Subset chaining: If A ⊆ B and B ⊆ C, then A ⊆ C. Converse statements are not guaranteed.

Testing conclusions
From S1 and S2: Harmoniums ⊆ Instruments ⊆ Flutes ⇒ Harmoniums ⊆ Flutes ⇒ C2 is true. C1 is the converse of S2 (claims Flutes ⊆ Instruments). S2 only gives Instruments ⊆ Flutes, not the reverse ⇒ C1 is not guaranteed.

Final Answer
Only conclusion II follows.