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Consider the given statements to be true...

Consider the given statements to be true and decide which of the given conclusions can definitely be drawn from the given statement.
Statements :
1. All books are novels.
2. Some novels are poems.
Conclusions :
I. Some books are poems.
II. Some poems are novels.

A

Only conclusion I follows

B

Only conclusion II follows

C

Neither conclusion I nor II follows

D

Both conclusion I and II follow

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given statements and conclusions logically. ### Step-by-Step Solution: 1. **Understanding the Statements**: - **Statement 1**: "All books are novels." - This means that every book falls under the category of novels. We can visualize this as a circle of books entirely contained within a larger circle of novels. - **Statement 2**: "Some novels are poems." - This indicates that there is an overlap between the category of novels and the category of poems. Some novels are also poems, but not all novels are poems. 2. **Analyzing the Conclusions**: - **Conclusion I**: "Some books are poems." - Since all books are novels, we can only conclude that if some novels are poems, it does not necessarily mean that any of those novels that are poems are books. Therefore, we cannot definitively say that some books are poems. This conclusion does not follow from the statements. - **Conclusion II**: "Some poems are novels." - This conclusion can be drawn directly from Statement 2, which states that some novels are poems. Therefore, it is valid to conclude that some poems are indeed novels. 3. **Final Decision**: - From the analysis above, we conclude that: - Conclusion I is not valid. - Conclusion II is valid. ### Final Answer: - Only Conclusion II can definitely be drawn from the given statements.
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