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.

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:

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)