Difficulty: Easy
Correct Answer: Only conclusion II is valid
Explanation:
Introduction / Context:
This mixes a universal inclusion with a universal exclusion. We test each conclusion cautiously for direction and scope.
Given Data / Assumptions:
Concept / Approach:
From Hens ⊆ Cocks and no Cock is Black, we infer Hens ∩ Black = ∅, i.e., no hen is black (II). The first conclusion reverses inclusion and is not supported.
Step-by-Step Solution:
Verification / Alternative check:
Model where some cocks are not hens satisfies premises but falsifies I.
Why Other Options Are Wrong:
Any option including I treats converse as valid; it is not.
Common Pitfalls:
Confusing subset with set equality.
Final Answer:
Only conclusion II is valid.
Discussion & Comments