Syllogism (actors, girls, beautiful): Evaluate the validity of the conclusions. Statements: S1: All the actors are girls. S2: All the girls are beautiful. Conclusions: C1: All the actors are beautiful. C2: Some girls are actors. Choose the correct option.

Given data

• S1: Actors ⊆ Girls.
• S2: Girls ⊆ Beautiful.

Concept / Approach
Subset chaining: If Actors ⊆ Girls and Girls ⊆ Beautiful, then Actors ⊆ Beautiful. The statement “Some Girls are Actors” requires existential import for Actors, which is not guaranteed by universal statements alone.

Testing conclusions
C1: True by transitivity ⇒ Actors ⊆ Beautiful. C2: Not guaranteed; from universals alone, we cannot assert existence of Actors.

Final Answer
Only conclusion I follows.