Logical deduction – "only those in Tilli are unfriendly": Interpret the implication and choose the pair that follows. (i) Rohan lives in Tilli. (ii) Rohan lives in Rampur. (iii) Rohan is unfriendly. (iv) Rohan may be unfriendly.

Introduction / Context:"Only those living in Tilli are unfriendly" means Unfriendly ⇒ LivesInTilli. It does not say everyone in Tilli is unfriendly; it restricts the set of unfriendly people to Tilli residents.

Given Data / Assumptions:

• Rule: If someone is unfriendly, they must live in Tilli.
• People outside Tilli are not unfriendly (contrapositive).

Concept / Approach:We seek a pair where (iii) implies (i). That is exactly (iii) (i): if Rohan is unfriendly, then he lives in Tilli.

Step-by-Step Solution:

Verification / Alternative check:Set-theory view: Unfriendly ⊆ TilliResidents.

Why Other Options Are Wrong:(i) (iii) asserts Tilli ⇒ Unfriendly (converse). (ii) (iv) allows unfriendly in Rampur, which contradicts the rule.

Common Pitfalls:Equating "only those" with "if and only if."

Final Answer:(iii) (i)