Question

Statements:
All actors are performers.
Some performers are dancers.
Conclusions:
I. Some dancers are actors.
II. Some performers are actors.

• A. Only I follows
• B. Only II follows
• C. Both I and II follow
• D. Neither I nor II follows

Hint:

For syllogisms, carefully analyze sets and subsets before concluding.

Answer 1

The Correct Option is B

Step 1: Analyze Statement 1
All actors are performers means every actor is within the performer group.
Step 2: Analyze Statement 2
Some performers are dancers means performers and dancers partially overlap.
Step 3: Check Conclusion I
"Some dancers are actors" — cannot be concluded for sure. Since dancers may or may not be actors.
Step 4: Check Conclusion II
"Some performers are actors" — this follows because all actors are performers, so definitely some performers are actors. Step 5: Conclusion
Only II follows.