Logical deduction – "Anu drinks tea only when Dolly eats samosa": Select the correct pair. (i) Dolly ate samosa. (ii) Anu drank tea. (iii) Anu did not drink tea. (iv) Dolly did not eat samosa.

Difficulty: Easy

Correct Answer: (ii) (i)

Explanation:

Introduction / Context:"Only when" again signals a one-way necessity: Tea(Anu) ⇒ AteSamosa(Dolly). It does not guarantee that Dolly eating samosa makes Anu drink tea.

Given Data / Assumptions:

  • If Anu drank tea, Dolly must have eaten samosa.

Concept / Approach:Thus the pair (ii) (i) is the implication with its necessary condition.

Step-by-Step Solution:

Assume (ii) is true.Conclude (i) is true by the rule.

Verification / Alternative check:(i) (ii) would be an unstated converse; (ii) (iv) contradicts the rule.

Why Other Options Are Wrong:(iii) (ii) is self-contradictory.

Common Pitfalls:Mistaking necessary for sufficient conditions.

Final Answer:(ii) (i)

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion