Statements: Some bags are pockets. No pocket is a pouch. Conclusions: I. No…

Concept:

A syllogism's conclusion can never be stronger than its premises allow. Two rules govern this item: (1) Conversion — a particular affirmative statement, 'Some A are B', converts validly to 'Some B are A', but a universal statement can never be converted into a broader universal claim. (2) Combining a particular affirmative statement with a universal negative statement that share a common (middle) term yields only a particular negative conclusion, 'Some A are not C' — never a universal one — because the negative fact is established only for the part described by 'some', not for the whole of the first term.

Application:

1. Statement 1, 'Some bags are pockets', is a particular affirmative linking bags and pockets.

2. Statement 2, 'No pocket is a pouch', is a universal negative linking pockets and pouches, sharing the common term 'pocket'.

3. Combining these two statements through 'pocket' yields a valid particular-negative conclusion between bags and pouches.

4. Statement 1 also converts directly, since a particular affirmative statement always converts to its reverse form linking pockets and bags.

5. The claim 'No bag is a pouch' overreaches: the statements only certify a claim about the bags that are pockets, not about every bag, so it is too strong to follow.

6. The claim 'No pocket is a bag' directly contradicts statement 1, which already asserts that some bags are pockets, so it cannot follow.

Cross-check:

Testing with a concrete picture confirms this: draw bags as a circle that overlaps partly with pockets, with the pocket circle sitting entirely outside the pouch circle. The overlapping bag-pocket region is automatically outside the pouch circle, and reading that same overlap from the pocket side confirms the reverse relation between pockets and bags — while nothing in this picture forces every bag out of the pouch circle, and the pocket circle clearly does share members with bags.

Result:

So exactly the particular-negative conclusion between bags and pouches, and the converted statement linking pockets and bags, are the two that necessarily follow — the option listing exactly that pair is the correct one.