Syllogism — Applying a universal statement to an individual case Statements: • All boys are tall. • Rajiv is a boy. Conclusions: I) Rajiv is tall. II) Rajiv is not tall. Choose the correct evaluation.

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:

  • All Boys ⊆ Tall.
  • Rajiv ∈ Boys.


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:

  • Only II follows: contradicts the universal premise.
  • Both follow / Neither follow: cannot be, because I is forced and II is negated by the same premise.


Common Pitfalls:
Overcomplicating a straightforward categorical substitution; suspecting exceptions when none are allowed by the statement “All.”


Final Answer:
Only Conclusion I follows.

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