UGC NET Questions (Paper – 1)

Statements A, B, C, D and F correctly describe how common connectives are handled when mapped into logic, while E is false. “Either p or q” is often inclusive in exams unless exclusivity is clearly indicated, and “neither…nor…” translates naturally as a conjunction of negations. The pattern for “exactly one” uses both disjunction and the negation of conjunction, and “both p and q” is simply conjunction. Because natural language “or” is context-sensitive, misreading it can cause mistakes, so F is right and E, which claims uniformity in all contexts, is wrong.

Option A:
Option A is incomplete as it leaves out F, which highlights the practical consequence of misinterpreting these connectives in exam situations. While A, B, C and D give accurate translations, they do not address how errors in interpretation affect performance. Thus A, B, C and D only does not fully answer the question.

Option B:
Option B is wrong because it includes E, which falsely states that natural language “or” always matches inclusive disjunction. In reality, “or” can be exclusive in many everyday contexts, so accepting E misrepresents typical usage. Including a false statement means this combination cannot be correct.

Option C:
Option C is incorrect since it omits A and includes only B, C, D and F. Without A, the usual exam practice regarding the interpretation of “either…or…” is not mentioned, which is central to the question. Consequently, this option does not contain all of the correct statements in the list.

Option D:
Option D is correct because it collects all the true statements A, B, C, D and F and properly excludes E, which overgeneralises about the meaning of “or”. It provides both the formal translations and the warning about misinterpretation in UGC NET reasoning.

Statements A through E accurately capture how basic quantifier notions are understood and used in reasoning and exams. “At most one” and “exactly one” require structured combinations of quantifiers and identity conditions, as noted in C and D. E is true because Paper 1 often expects conceptual understanding without full symbolism. F is false since the existential quantifier alone cannot express “at most one” or “exactly one” without additional logical resources. Therefore A, B, C, D and E only is the correct combination.

Option A:
Option A is incomplete because it omits E, not acknowledging the UGC NET context in which such quantifier reasoning appears. While A, B, C and D are true, they do not fully answer the question as posed.

Option B:
Option B is correct since it gathers all the true statements about quantifiers and their informal use in exam questions, and it excludes F, which overstates the expressive power of a single quantifier. This matches how quantifier ideas are treated at the Paper 1 level.

Option C:
Option C is wrong as it includes F, suggesting that existential quantification alone can handle “at most one” and “exactly one”. Without identity and sometimes universal conditions, these claims cannot be captured properly. Thus this option is incorrect.

Option D:
Option D is also incorrect because it omits B, losing the basic reading of the universal quantifier, and still fails to include all the correct statements. As such, it cannot be the right choice.