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)

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