Statements:
1. All men are married.
2. Some men are educated.
Conclusions:
I. Some married are educated.
II. Some educated are married.
- AOnly conclusion I follows
- BOnly conclusion I and II follows.
- CEither conclusion I or II follows.
- DBoth conclusions I and II follows.
Solution & Step-by-step Explanation
Let us evaluate the statements using a standard set analysis:
* "All men are married" implies that the set of 'Men' is completely inside the set of 'Married individuals'.
* "Some men are educated" implies there is a non-empty intersection between the set of 'Men' and the set of 'Educated individuals'.
Analyzing the conclusions:
* Conclusion I: Since the portion of men who are educated falls entirely within the broader set of married people, those individuals are both married and educated. Hence, "Some married are educated" is definitely true.
* Conclusion II: By conversion, if some married individuals are educated, it automatically means that "Some educated individuals are married".
Therefore, both conclusions I and II logically follow.
* "All men are married" implies that the set of 'Men' is completely inside the set of 'Married individuals'.
* "Some men are educated" implies there is a non-empty intersection between the set of 'Men' and the set of 'Educated individuals'.
Analyzing the conclusions:
* Conclusion I: Since the portion of men who are educated falls entirely within the broader set of married people, those individuals are both married and educated. Hence, "Some married are educated" is definitely true.
* Conclusion II: By conversion, if some married individuals are educated, it automatically means that "Some educated individuals are married".
Therefore, both conclusions I and II logically follow.