Difficulty: Easy
Correct Answer: Only Conclusion I follows
Explanation:
Introduction / Context:Here a universal statement about a category is applied to a named individual within that category. The test is to push the inclusion correctly and reject the contradiction.
Given Data / Assumptions:
Concept / Approach:If every boy is tall and Rajiv is a boy, then Rajiv must be tall. Any statement that asserts the contrary directly conflicts with the universal premise.
Step-by-Step Solution:
Step 1: Substitute: since Rajiv ∈ Boys and Boys ⊆ Tall, infer Rajiv ∈ Tall.Step 2: Compare the two proposed conclusions. I matches the derivation; II contradicts it.Verification / Alternative check:In a Venn diagram, place Rajiv in the Boys circle, which is inside the Tall circle. The placement makes I true and II impossible.
Why Other Options Are Wrong:
Common Pitfalls:Overcomplicating a straightforward categorical substitution; suspecting exceptions when none are allowed by the statement “All.”
Final Answer:Only Conclusion I follows.
Discussion & Comments