Converse inverse and contrapositive – UGC NET Question

Statements A, B and C correctly define converse, inverse and contrapositive, while E and F state correct logical and exam-related facts, and D is false. A conditional is not equivalent to its converse, but it is equivalent to its contrapositive. When test-takers mistake a conditional for its converse, they often commit the fallacy of affirming the consequent. Therefore the set of correct statements is A, B, C, E and F only.

Option A:
Option A is incomplete because it omits F, leaving out the important note that this confusion gives rise to a specific fallacy tested in exams. While A, B, C and E are true, they do not mention the reasoning error that is pedagogically central. Hence this combination is not fully adequate.

Option B:
Option B is correct since it collects all the true statements about transformations of conditionals and their logical relations. It keeps the equivalence with the contrapositive and highlights the risk of misreading as a converse. By excluding D, which overstates equivalence, it stays faithful to standard logical theory.

Option C:
Option C is incorrect because it accepts D, wrongly claiming that a conditional is always equivalent to its converse. This would treat “If it is a square then it is a rectangle” as equivalent to “If it is a rectangle then it is a square”, which is not correct. Including D therefore makes the option unsound.

Option D:
Option D is wrong because it leaves out A and includes F but also omits one of the key definitional statements. Without A, the notion of converse is not clearly present, and the option does not gather all true statements. Thus it cannot be chosen as correct.