Necessary and sufficient conditions – UGC NET Question

Statement A is correct because “p sufficient for q” means p guarantees q, i.e., p → q. Statement B is correct because “p necessary for q” means q cannot hold without p, i.e., q → p. Statement C is true because mixing these up is a common reasoning error. Statement D is false (they are different), and E is false (contrapositive of p → q is ¬q → ¬p). Hence A, B and C only are correct.

Option A:
Option A is incomplete because it omits C (common error point).

Option B:
Option B is incomplete because it omits A (sufficiency mapping).

Option C:
Option C is correct since it includes all true statements and excludes D and E.

Option D:
Option D is incorrect because it includes D (false) and omits B (true).