Each question consists of two or three statements followed by two conclusions numbered I and II. Consider the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements using all statements together.

Statements:

- Some books are files
- Some registers are files
- Some guides are books

Conclusions:

I. At least some files are registers
II. Some books are not registers is a possibility

Question

Each question consists of two or three statements followed by two conclusions numbered I and II. Consider the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow from the given statements using all statements together.

Statements:

- Some books are files
- Some registers are files
- Some guides are books

Conclusions:

I. At least some files are registers
II. Some books are not registers is a possibility

Accepted Answer

**Solution:**

1. From the statements, we know:
   - Some books are files.
   - Some registers are files.
   - Some guides are books.

2. Conclusion I: "At least some files are registers."
   - Since "Some registers are files" is given, it directly implies that there are some files which are registers.
   - Therefore, Conclusion I logically follows.

3. Conclusion II: "Some books are not registers is a possibility."
   - The statements do not mention any direct relation between books and registers.
   - Since there is no information that all books are registers, it is possible that some books are not registers.
   - Hence, Conclusion II is also a valid possibility.

4. Since both conclusions logically follow from the given statements, the correct answer is option (e).

**Answer:** (e) If both conclusion I and conclusion II follow

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