In this logical reasoning question, two statements describe the relationship between books, diaries, and paper. You must treat the statements as true and decide which of the conclusions I and II logically follows. Statement 1: Some books are diaries. Statement 2: All books are paper. Conclusion I: All diaries are paper. Conclusion II: Some paper are diaries.

Introduction / Context:
This question is another example of a categorical syllogism involving three sets: books, diaries, and paper. By interpreting the statements in terms of set relationships, we can see what must be true about diaries and paper. The problem checks whether you can distinguish between a conclusion that is logically forced and a conclusion that is only partially supported or completely unsupported.

Given Data / Assumptions:
- Statement 1: Some books are diaries. This means there is at least one element that belongs to both the set of books and the set of diaries.
- Statement 2: All books are paper. This means the set of books lies entirely inside the set of paper.
- Conclusion I: All diaries are paper, which claims every diary belongs to the set of paper.
- Conclusion II: Some paper are diaries, which claims that there is at least one element common to the sets paper and diaries.

Concept / Approach:
We use basic set logic. If some books are diaries and all books are paper, the part of books that overlaps diaries must also belong to paper. From this, we can infer that at least one diary is paper. However, to say that all diaries are paper, we would need additional information that every diary is also a book or is otherwise linked to paper, which we do not have. The key is to move carefully from "some" relationships to "all" relationships only when fully justified.

Step-by-Step Solution:
Step 1: Let B represent books, D represent diaries, and P represent paper. Step 2: From Statement 1, we know that B ∩ D is non empty. There exists at least one element that is both a book and a diary. Step 3: From Statement 2, we know B ⊆ P. Every book is paper. Step 4: The element that lies in B ∩ D must also lie in P because it is a book and all books are paper. Step 5: Therefore, there exists at least one element that belongs to both P and D. This proves that some paper are diaries, so Conclusion II is true. Step 6: However, we have no information about diaries that are not books. Diaries could include many items that are not books at all, and we do not know whether such diaries are made of paper or not. Step 7: Since only some diaries are books and thus paper, we cannot infer that all diaries are paper. Therefore, Conclusion I does not follow.

Verification / Alternative check:
Visualize this with a Venn diagram. Draw P as a large circle, B inside P, and D overlapping B only partially. The overlapping part shows diaries that are also books and therefore paper. The remaining part of D could lie outside P, representing diaries that are not paper. Such a diagram satisfies both statements but makes Conclusion I false while keeping Conclusion II true, confirming our analysis.

Why Other Options Are Wrong:
Option A says only Conclusion I follows, but we just saw Conclusion I is not forced by the statements. Option C says both conclusions follow, which is too strong because Conclusion I does not necessarily hold. Option D says neither follows, but Conclusion II clearly does follow from the overlap. Option E claims that exactly one follows without specifying, but the correct specific combination is that only Conclusion II follows, which is captured by Option B.

Common Pitfalls:
A frequent mistake is to jump from "some books are diaries" and "all books are paper" directly to "all diaries are paper," which is an over generalization. The word "some" is crucial. It indicates that only a part of diaries is guaranteed to be books and therefore paper, not the entire set of diaries. Always treat "some" as at least one but not necessarily all.

Final Answer:
The correct option is Only conclusion II follows, because we can be sure that some paper are diaries, but we cannot claim that every diary is made of paper based on the given statements.