UGC NET Questions (Paper – 1)

Statements A, B and C are all correct. A notes the common natural-language use of “either” as exclusive. B is true because the standard logical disjunction is inclusive and allows both A and B to be true. C correctly gives a formula for exclusive-or using OR, AND and NOT. D is false since exam questions may clarify whether the sense is inclusive or exclusive, and E is false because inclusive and exclusive or differ when both A and B are true. Hence, A, B and C only are correct.

Option A:
Option A is incomplete since it omits C, thereby failing to mention the formal definition of exclusive-or in terms of other connectives, which is important in logical reasoning.

Option B:
Option B is incorrect because it incorrectly includes D, which claims that exam usage is always exclusive, and so introduces a false constraint on interpretation.

Option C:
Option C is correct as it combines natural-language usage, the inclusive logical meaning and the formal construction of exclusive-or, while excluding D and E, which misstate exam conventions and truth-value patterns.

Option D:
Option D is wrong since it includes E, which wrongly claims that inclusive and exclusive or always agree, and it drops A, losing the important point about everyday interpretation.