Question: Read the following statement carefully and identify the conclusion that follows.
Statement:
All musicians are artists.
Some artists are dancers.
No dancer is blind.
Conclusions:
I. Some artists are not blind.
II. All blind are not dancers.
Show answer & explanation
Correct answer: C
Explanation
Answer: Both conclusions I and II follow.
Reasoning:
- Conclusion I — 'Some artists are not blind': From 'Some artists are dancers' (I-type) + 'No dancer is blind' (E-type), we get 'Some artists are not blind' (valid I+E → O combination). ✔️ Follows.
- Conclusion II — 'All blind are not dancers': This is simply the converse of 'No dancer is blind.' E-type statements (No A is B) always convert validly to 'No B is A' (same as 'All blind are not dancers'). ✔️ Follows.
Both I and II follow.