Quantifiers and predicate logic basics – UGC NET Question

Statements A, B, C, D and E are correct, while F is false. A and B give standard readings of universal and existential quantifiers, and C and D correctly symbolise universal and existential English sentences. E is right that quantifiers operate relative to a chosen domain of objects. F is wrong because formalisation with quantifiers can actually clarify reasoning rather than make it impossible to understand. Thus A, B, C, D and E only is the correct combination.

Option A:
Option A is correct because it collects all the true statements about basic quantifier use and excludes only F, which overstates the difficulty of symbolic form. It accurately reflects how universal and existential claims are treated in predicate logic and in exam questions. Therefore it is the appropriate answer.

Option B:
Option B is incomplete because it omits E, the statement about domain of discourse, which is a fundamental part of quantifier semantics. While A, B, C and D are true, leaving out E makes the description of quantifiers less precise. Hence A, B, C and D only cannot be accepted.

Option C:
Option C is wrong because it includes F among the correct statements. By treating F as true, it implies that quantifiers necessarily obscure reasoning for UGC NET students, which is false. Including this error invalidates the whole combination.

Option D:
Option D is incorrect because it omits B and E and includes F. Without B, the meaning of the existential quantifier is left unstated, and accepting F contradicts the role of formalisation. So A, C, D and F only does not capture the full set of correct statements.