Statements: Some actors are singers. All the singers are dancers. Conclusions: Some actors are dancers. No singer is actor. Only (1) conclusion follows Only (2) conclusion follows Either (1) or (2) follows Neither (1) nor (2) follows Both (1) and (2) follow
Question
Statements: Some actors are singers. All the singers are dancers. Conclusions: Some actors are dancers. No singer is actor. Only (1) conclusion follows Only (2) conclusion follows Either (1) or (2) follows Neither (1) nor (2) follows Both (1) and (2) follow
Solution
The correct answer is "Only (1) conclusion follows".
Here's the step by step reasoning:
Step 1: Understand the statements
- "Some actors are singers" means there is an overlap between actors and singers.
- "All the singers are dancers" means all singers fall within the category of dancers.
Step 2: Analyze the conclusions
- "Some actors are dancers" - This is true because some actors are singers and all singers are dancers. Therefore, those actors who are singers are also dancers.
- "No singer is actor" - This is false because the first statement clearly says that some actors are singers.
So, only the first conclusion follows the given statements.
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