School rule implication (corrected): Premise (standardized): "The principal is in the school when the teachers are in the class." (Teachers in class ⇒ Principal in school) Select the pair that correctly reflects this implication.
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A(iii) Teachers are in class. (i) Principal is in the school.
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B(i) Principal is in the school. (iii) Teachers are in class.
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C(ii) Principal is in town. (iv) Teachers are in the playground.
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D(iv) Teachers are in the playground. (ii) Principal is in town.
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ENone of these
Answer
Correct Answer: (iii) Teachers are in class. (i) Principal is in the school.
Explanation
Introduction / Context:The original stem had grammatical issues; applying the Recovery-First Policy, we clarify the intended rule: whenever teachers are in class, the principal is in school. That is a straightforward implication.
Given Data / Assumptions:
- Premise: Teachers-in-class ⇒ Principal-in-school.
- Statements: (i) Principal in school; (ii) Principal in town; (iii) Teachers in class; (iv) Teachers in playground.
Concept / Approach:We must select a pair that presents the antecedent and its guaranteed consequent, not the converse.
Step-by-Step Solution:
Antecedent (iii) triggers the rule.Consequence: (i) must follow.Therefore, the correct pair is (iii) and (i).Verification / Alternative check:Converse (i) ⇒ (iii) is not guaranteed. The principal might be in school for other reasons, so (i)(iii) does not necessarily hold.
Why Other Options Are Wrong:
- (b) asserts the converse, not entailed.
- (c) and (d) introduce unrelated or contradictory locations.
- None of these is wrong because a correct pair exists.
Common Pitfalls:Reversing the implication; thinking "principal in school" forces "teachers in class."
Final Answer:(iii) and (i)