Statements:Some actors are singers. All the singers are dancers. Conclusions:…
2024
Statements:Some actors are singers. All the singers are dancers. Conclusions: Some actors are dancers.No singer is actor.
- A.
Only (1) conclusion follows
- B.
Only (2) conclusion follows
- C.
Either (1) or (2) follows
- D.
Neither (1) nor (2) follows
Attempted by 60 students.
Show answer & explanation
Correct answer: A
Answer: Only the first conclusion follows.
Explanation: Use the given statements to draw a logical inference.
Given: Some actors are singers.
Given: All singers are dancers.
From these: the actors who are singers are also dancers, so at least some actors are dancers. Therefore the first conclusion follows.
Why the second conclusion does not follow: The statement "No singer is actor" contradicts the given fact that some actors are singers, so it cannot be inferred.
Therefore the correct conclusion is that only the first conclusion follows.