Difficulty: Easy
Correct Answer: Only conclusion I follows
Explanation:
Introduction / Context:
This is a standard syllogism question where you are given two “all” type statements describing relationships between three sets: horses, bullocks, and goats. Your goal is to see what must logically follow from the chain of inclusions, without worrying about whether the statements are realistic in everyday life.
Given Data / Assumptions:
Treat the following as true.
Concept / Approach:
When we have “All A are B” and “All B are C”, then we can deduce “All A are C”. However, we generally cannot reverse these relations without further information. We represent these as nested sets: the set A lies inside B, which lies inside C.
Step-by-Step Solution:
Verification / Alternative check:
Visualise three nested circles. Place the Horse circle inside the Bullock circle. Then place the Bullock circle inside the Goat circle. Clearly, every horse lies within the Goat circle. But you can easily imagine many goats that are outside the Bullock circle and therefore also outside the Horse circle. This shows conclusion I is valid, but conclusion II is not.
Why Other Options Are Wrong:
Option B states only conclusion II follows, which is wrong because conclusion II reverses the direction of containment. Option C states neither conclusion follows, ignoring the straightforward chain that gives conclusion I. Option D says both conclusions follow, which would require the Goat set and Horse set to be equal, and that is never implied by the given information.
Common Pitfalls:
Many learners mistakenly assume that if all horses are goats, then all goats must be horses. This confusion arises from reversing the “all” statement. Remember that “All A are B” does not mean “All B are A”. Logical reasoning questions often test exactly this misunderstanding.
Final Answer:
The only conclusion that necessarily follows is conclusion I. Therefore, the correct answer is “Only conclusion I follows.”
Discussion & Comments