Question

Statements: No women teacher can play. Some women teachers are athletes.
Conclusions: I. Male athletes can play. II. Some athletes can play.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either I or II follows
• D. Neither I nor II follows
• E. Both I and II follow

Hint:

In Syllogisms, avoid using "outside knowledge" (like assuming men can play if women can't). Stick strictly to the relationships defined in the statements.

Answer 1

The Correct Option is D

Step 1: Analyse options.
- Statement 1: Women Teachers $\cap$ Play = $\emptyset$. - Statement 2: Some Women Teachers are Athletes. - Conclusion I: There is no information provided about "Male athletes" in the statements. - Conclusion II: While some athletes are women teachers (who cannot play), we don't know if the *other* athletes can play or not. No "positive" link to playing is established.
Step 2: Conclusion.
Neither conclusion can be logically derived from the given premises. Final Answer: (d) Neither I nor II follows