Q. Statements : No women teacher can play. Some women teachers are athletes.

Conclusions :
I. Male athletes can play.
II. Some athletes can play.

Explanation by: Bhakti Bliss

Let's analyze the given statements and conclusions:
Statements:
No women teacher can play – This means that all women teachers are not able to play.
Some women teachers are athletes – This means that there are some women teachers who are athletes, but the statement does not tell us whether they can play or not.
Conclusions:
Conclusion I: Male athletes can play – This conclusion does not directly follow from the statements given. The statements are only concerned with women teachers and athletes, not male athletes. Therefore, we cannot conclude that male athletes can play based solely on the given statements.
Conclusion II: Some athletes can play – This conclusion also doesn't necessarily follow. From the second statement, we know that some women teachers are athletes, but we are told that no women teachers can play. Thus, the athletes mentioned in the statements (who are women teachers) cannot play. The statement does not tell us about other athletes, so we cannot conclude that some athletes can play based on the information provided.
Therefore, the correct answer is:
(D) Neither I nor II follows