UGC NET Questions (Paper – 1)

Statements A, B, C and E are correct. D is false because difficulty alone does not make a statement paradoxical; paradox involves self-contradiction or unacceptable consequences. F is false since paradoxes often motivate refinement of logical systems rather than proving them useless. Therefore A, B, C and E only is correct.

Option A:
Option A is correct because it includes all true statements and excludes D and F.

Option B:
Option B is incorrect because it includes F.

Option C:
Option C is incorrect because it includes D and omits A.

Option D:
Option D is incorrect because it includes F and omits B.

Statement (1) claims that all statements in the set are false, which includes statement (2). Statement (2) claims that statement (1) is true. If we assume (1) is true, then all statements in the set are false, meaning (2) is false, which contradicts (2)’s assertion that (1) is true. If we assume (1) is false, then not all statements are false, so at least one must be true—but then we must check (2) and fall into another loop. No consistent assignment of truth values can satisfy both simultaneously, so together they form a paradox rather than a stable set of true or false statements.

Option A:
Option A cannot hold, because the statements cannot all be true without contradiction.

Option B:
Option B is also impossible, because if both were false, (1) would be false, meaning not all statements in the set are false, implying at least one is true.

Option C:
Option C correctly recognises the self-referential structure as paradoxical, akin to the liar paradox, with no coherent truth value assignment.

Option D:
Option D misdescribes the issue; we are not dealing with a standard argument from premises to conclusion but with a problematic set of interrelated statements.