Logical deduction – "all mountaineers climb": Determine the valid implication involving Amit. (i) Amit is a mountaineer. (ii) Amit is not a mountaineer. (iii) Amit climbed. (iv) Amit did not climb.

Difficulty: Easy

Correct Answer: (i) (iii)

Explanation:


Introduction / Context:
The universal statement is Mountaineer ⇒ Climbs. So for any named individual, if they are a mountaineer, we can infer that they climb.



Given Data / Assumptions:

  • (i) being true forces (iii) to be true.


Concept / Approach:
Pick the pair that states the antecedent category followed by the necessary action: (i) (iii).



Step-by-Step Solution:

Assume Amit is a mountaineer.By rule, Amit climbed.


Verification / Alternative check:
(iii) (i) is converse; climbing alone does not prove mountaineer status.



Why Other Options Are Wrong:
(ii) (iv) asserts a separate possibility but is not a consequence of the universal statement.



Common Pitfalls:
Conflating subset and superset relationships.



Final Answer:
(i) (iii)

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