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.
Verbal Reasoning
Logical Deduction
Difficulty: Easy
Choose an option
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A(i) (iii)
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B(ii) (iv)
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C(iii) (i)
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DNone
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EAll of these
Answer
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)