Converse and Inverse Concept – UGC NET Question

Given a conditional “If P then Q,” the inverse is formed by negating both the antecedent and the consequent while keeping their order: “If not P then not Q.” Here, P is “the student is sincere” and Q is “the student passes the exam.” The inverse is therefore “If a student is not sincere, then the student does not pass the exam.”

Option A:
Option A is the converse, reversing the roles of antecedent and consequent to “If Q then P.”

Option B:
Option B correctly negates both antecedent and consequent without swapping them, matching the standard definition of the inverse.

Option C:
Option C negates only the antecedent while leaving the consequent positive, which does not correspond to any standard paired form (it is neither converse, inverse, nor contrapositive of the original).

Option D:
Option D is the contrapositive, “If not Q then not P,” which is logically equivalent to the original conditional, not its inverse.