Syllogism – Some/No relations across three classes Premises: 1) Some bags are pockets. 2) No pocket is a pouch. Evaluate the conclusions.

Introduction / Context:
This set-logic item mixes a particular statement (“some”) with a universal negative (“no”). We must determine which conclusions necessarily follow without overreaching. The key is to track at least one concrete overlap and propagate the universal exclusion appropriately.

Given Data / Assumptions:

• Bags (B), pockets (P), pouches (H).
• Premise 1: Some B are P (there is at least one element in B ∩ P).
• Premise 2: No P is H (P ∩ H = ∅).

Concept / Approach:
From the element(s) in B ∩ P and the universal exclusion P ∩ H = ∅, we can infer that those particular bags (that are pockets) are not pouches. This yields “Some bags are not pouches.” Additionally, “Some pockets are bags” is simply the symmetric reading of “Some bags are pockets.” However, we cannot leap to “No bag is a pouch” because other bags (outside the P subset) might still be pouches.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

Common Pitfalls:

Final Answer:
Only II and III follow