Logical deduction – "mango rots when it is ripe": Choose the correct consistent pair. (i) Mango is ripe. (ii) Mango is not ripe. (iii) Mango rots. (iv) Mango does not rot.

Difficulty: Easy

Correct Answer: (iii) (i)

Explanation:


Introduction / Context:
"When ripe, it rots" gives Ripe ⇒ Rot. The contrapositive is NotRot ⇒ NotRipe. We seek a pair that can co-occur under the rule.



Given Data / Assumptions:

  • Ripe implies Rot.


Concept / Approach:
Both "rots" and "ripe" can be true together; the option lists them as (iii) (i).



Step-by-Step Solution:

Assume (i) is true ⇒ (iii) must be true.Thus the pair (iii) (i) is consistent.


Verification / Alternative check:
(ii) (iv) is also consistent by contrapositive, but the key consequence directly linked in the rule is from ripeness to rotting; the offered correct pair captures that co-truth.



Why Other Options Are Wrong:
(ii) (iii) is incompatible (not ripe yet rotting under the given rule).



Common Pitfalls:
Assuming Rot ⇒ Ripe (converse), which is not entailed.



Final Answer:
(iii) (i)

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