Logic consistency: Statement: “She does not get a call when there is a strong network.” Select the pair that does not violate the rule and is jointly consistent. (i) She gets a call. (ii) There is a strong network. (iii) There is no network. (iv) She does not get a call.
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A(ii) (i)
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B(iii) (iv)
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C(i) (iii)
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D(iv) (ii)
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ENone of these
Answer
Correct Answer: (iii) (iv)
Explanation
Introduction / Context:The statement is unusual but reads as: StrongNetwork → NoCall. We need a pair that is consistent with this rule (i.e., does not contradict it).
Given Data / Assumptions:
- If strong network is present, a call does not occur.
- The converse (NoCall → StrongNetwork) is not implied.
Concept / Approach:Pairs not mentioning strong network can still be consistent provided they do not force a contradiction.
Step-by-Step Solution:(iii) No network; (iv) She does not get a call → consistent, as the rule talks only about the strong-network case.
Verification / Alternative check:(ii)(i) would violate the rule (strong network but she gets a call). (iv)(ii) tries to infer the converse, which is not logically valid.
Why Other Options Are Wrong:They either contradict the implication or rely on unstated converses.
Common Pitfalls:Equating “no call” with “strong network” (converse error).
Final Answer:(iii) (iv)