Logic consistency: Statement: “When it rains, plants get greener.” From the following four atomic statements, select the pair that is logically consistent with the given rule. (i) It rained. (ii) It did not rain. (iii) Plants got greener. (iv) Plants did not get greener.

Introduction / Context:The rule “When it rains, plants get greener” is an implication: Rain → Greener. A consistent pair should not violate this implication.

Given Data / Assumptions:

• Interpretation is material implication: if Rain is true, Greener must be true.
• Contrapositive (not used directly): If not Greener, then not Rain.

Concept / Approach:Pick the pair that affirms Rain and Greener together (which certainly satisfies the rule).

Step-by-Step Solution:(i) It rained; (iii) Plants got greener → matches Rain → Greener.

Verification / Alternative check:Pairs with “It rained” and “plants did not get greener” would contradict the rule; pairs without Rain do not test the rule.

Why Other Options Are Wrong:(i)(ii) is self-contradictory; (iii)(i) is the same facts in reverse order but option text expects the direct pair (we select the explicit cause-then-effect pair); (iv)(i) contradicts the contrapositive.

Common Pitfalls:Assuming the converse (Greener → Rain) which is not stated.

Final Answer:(i) (iii)