Question

Which conclusion would follow the given statements.
Statements: Some Apples are Banana. Some Bananas are Grapes. No Grape is Book.
Conclusion:
I) Some Apples are Book is a possibility.
II) All Bananas are Book.

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

Hint:

In syllogisms, a "possibility" is true as long as it is not explicitly contradicted by the statements. A definite conclusion (like "all" or "no") must be true in every possible scenario that fits the statements.

Answer 1

The Correct Option is A

Step 1: Analyze the statements using a Venn diagram approach. - "Some Apples are Banana": The circles for Apple and Banana overlap. - "Some Bananas are Grapes": The circles for Banana and Grape overlap. - "No Grape is Book": The circles for Grape and Book are completely separate.
Step 2: Evaluate Conclusion I. "Some Apples are Book is a possibility." The statements do not establish any direct relationship between Apples and Books. The Book circle must be separate from the Grape circle, but it is free to overlap with the Apple circle, the Banana circle, or be separate from both. Since there is no statement preventing Apples from being Books, the possibility exists. Thus, Conclusion I is valid.
Step 3: Evaluate Conclusion II. "All Bananas are Book." This is a definite conclusion. We know that "Some Bananas are Grapes" and "No Grape is Book". This means that the part of the Banana circle that overlaps with the Grape circle cannot be inside the Book circle. Since at least some Bananas cannot be Books, the statement "All Bananas are Book" is definitively false. Therefore, only conclusion I follows. % Quick tip