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: Diagram the statements using a Venn diagram.- "Some Apples are Banana": Apple and Banana circles overlap.- "Some Bananas are Grapes": Banana and Grape circles overlap.- "No Grape is Book": Grape and Book circles are separate.
Step 2: Assess Conclusion I."Some Apples are Book is a possibility."No direct link exists between Apples and Books. The Book circle is separate from the Grape circle, but can overlap with Apple, Banana, or neither. The possibility holds, making Conclusion I valid.
Step 3: Assess Conclusion II."All Bananas are Book."This conclusion is definite. We know "Some Bananas are Grapes" and "No Grape is Book". The Banana portion overlapping with Grape cannot be inside Book. Therefore, "All Bananas are Book" is false.Consequently, only conclusion I follows.% Quick tip