Statements:
No apple is banana.
Some bananas are mangoes.
All mangoes are grapes.
Conclusions:
I. No apple is mango.
II. Some bananas are grapes.
III. Some grapes are bananas.
Which conclusions follow?
Show answer & explanation
Correct answer: A
Explanation
Given Statements:
• No apple is banana.
• Some bananas are mangoes.
• All mangoes are grapes.
Evaluating Conclusions:
• Conclusion I: No apple is mango. — There is no direct negative relation between apples and mangoes. Apples cannot be bananas, but they can possibly overlap with mangoes outside the banana region. Hence, it does not follow.
• Conclusion II: Some bananas are grapes. — Since some bananas are mangoes and all mangoes are grapes, the bananas that are mangoes are definitely grapes. Hence, it follows.
• Conclusion III: Some grapes are bananas. — Since some bananas are grapes, it directly implies that some grapes are also bananas. Hence, it follows.
Therefore, only conclusions II and III follow.