Converse inverse contrapositive relations – UGC NET Question

Statements A, B and C correctly define converse, inverse and contrapositive for a conditional, and E is true because an implication is logically equivalent to its contrapositive. D is false, as a conditional is not in general equivalent to its converse. Thus the complete set of correct statements about these relationships is A, B, C and E.

Option A:
Option A is incomplete because it omits E, failing to note the important fact that a conditional and its contrapositive are equivalent. Without E, the description of logical relations is not full. Therefore A, B and C only cannot be the correct answer.

Option B:
Option B is correct since it gathers the three accurate definitions and the key equivalence between the original implication and its contrapositive, while excluding D which overstates the relation to the converse. This matches standard treatments of conditionals used in UGC NET.

Option C:
Option C is incorrect because it includes D, which is false (a conditional is not always equivalent to its converse), and it also omits E, which is true. So it mixes a false statement with missing a true one.

Option D:
Option D is incorrect because it omits A, leaving out the explicit definition of the converse, and thus does not list all correct statements. Therefore B, C and E only is not acceptable.