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.

Difficulty: Easy

Correct Answer: (iii) (i)

Explanation:


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:

Unfriendly ⇒ LivesInTilli.Thus the pair (iii) (i) is a valid consequence.(i) alone does not imply (iii); living in Tilli does not force unfriendliness.


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)

More Questions from Logical Deduction

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion