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.

Difficulty: Easy

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)

More Questions from Logical Deduction

Discussion & Comments

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