Question

In the question below, two statements are given, followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
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 follows

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
This is a syllogism problem. We must determine if the conclusions necessarily follow from the premises, ignoring external knowledge or gender assumptions not present in the text.
Step 2: Detailed Explanation:

Venn Diagram Representation:
- Let "W" be the set of Women Teachers.
- Let "P" be the set of those who can Play.
- Let "A" be the set of Athletes.

Statement 1 Analysis: "No women teacher can play" implies sets W and P are disjoint (\(W \cap P = \emptyset\)).

Statement 2 Analysis: "Some women teachers are athletes" implies an intersection between sets W and A (\(W \cap A \neq \emptyset\)). These specific athletes (who are women teachers) definitely cannot play.

Evaluating Conclusion I: "Male athletes can play." The statements provide information only about women teachers. There is absolutely no mention of "Male athletes" in the premises. In syllogisms, you cannot introduce new terms or assume their properties. Thus, Conclusion I does not follow.

Evaluating Conclusion II: "Some athletes can play." We know some athletes (those who are women teachers) cannot play. We do not have any information about the remaining athletes. They might be able to play, or they might not. There is no certainty. Therefore, this universal claim does not logically follow from the given information.

Step 3: Final Answer:
Since neither conclusion can be definitively proven by the statements, the answer is "Neither I nor II follow." Option (D) is correct.