UGC NET Questions (Paper – 1)

Statements A, B, C, D and E correctly describe core equivalence laws of propositional logic, while F is false. Double negation, De Morgan’s laws, the implication law and distributivity are all standard tools for simplifying or transforming statements. In reasoning questions, these equivalences can be applied implicitly even if symbolic notation is not shown. F is wrong because such simplifications are central to many exam solutions. Thus A, B, C, D and E only is the correct combination.

Option A:
Option A is incomplete since it omits E, leaving out the distributive law, which is also a recognised equivalence. While A, B, C and D are all true, the absence of E means one important law is missing. Therefore this option does not capture the full set of correct statements.

Option B:
Option B is wrong because it includes F, which asserts that these equivalences are never used in UGC NET reasoning. In practice, many items rely on them, even if test-takers apply them informally. Including F therefore makes the overall combination incorrect.

Option C:
Option C is incorrect since it omits A and retains only B, C, D and E. Without A, the crucial principle of double negation is missing, which is a basic equivalence often taught alongside the others. This omission prevents the option from representing all true statements.

Option D:
Option D is correct as it brings together all five valid equivalences and excludes the single false statement. It accurately reflects how formal logic simplifies complex expressions and how those ideas underlie exam questions. Hence it is the right answer.

Drstanta is the illustrative example employed to make the vyapti between hetu and sadhya clear to the listener. By pointing to a well-known case where the same relation holds, such as smoke and fire in a kitchen, the speaker strengthens confidence in the general rule. This example plays a pedagogical role in the five-membered inference. Therefore the familiar instance described in the stem is called drstanta.

Option A:
Option A, vyapti, is the universal concomitance itself, not the particular instance chosen to display it. The drstanta is used to convey vyapti but is conceptually distinct from it.

Option B:
Option B, sadhya, is the probandum to be established in the paksha, such as "fiery", and is not an example case at all.

Option C:
Option C is correct because drstanta literally means "seen instance" and is explicitly defined in Nyaya as the member of inference that supplies a concrete illustration of the general rule.

Option D:
Option D, hetvabhasa, denotes a fallacious reason and has no role in providing supportive examples; rather, it signals a defect in reasoning.

Hetu is the middle term or reason whose presence in the paksha, together with known vyapti, justifies the conclusion that the sadhya is also present there. In the classic example, smoke functions as hetu for fire on the hill. A proper hetu must satisfy specific conditions to avoid fallacies. Therefore the inferential sign referred to in the stem is called hetu.

Option A:
Option A, paksha, is the subject in which the hetu and sadhya are discussed and does not itself function as the reason for the conclusion. Confusing the subject with the middle term would obscure the structure of inference.

Option B:
Option B is correct because hetu explicitly names the factor that serves as logical ground for the sadhya. Nyaya analysis of inference revolves around whether a proposed hetu genuinely exhibits vyapti with the probandum.

Option C:
Option C, sadhya, is the goal or probandum to be established and stands as the consequent of the argument, not the evidential basis.

Option D:
Option D, drstanta, is the illustrative example used to clarify the relation between hetu and sadhya and is distinct from the actual reason located in the paksha.

Statements A, B, C and E are correct, whereas D and F are false. A gives the basic structure of an argument, while B and C clarify how explanations and illustrations function differently from proof. E is right that exam performance improves when one can separate arguments from mere description or example. D is wrong because “because” and “therefore” often signal reasoning, and F is wrong because a lone assertion with no supporting reasons is not an argument. So A, B, C and E only is the correct combination.

Option A:
Option A is incomplete since it omits E, which correctly stresses the exam importance of distinguishing arguments from non-arguments. Although A, B and C explain the concepts, without E the practical UGC NET angle is missing. Therefore A, B and C only cannot be accepted.

Option B:
Option B is correct because it brings together conceptual clarity about arguments, explanations and illustrations along with their relevance to exam questions. It avoids D and F, both of which misclassify reasoning signals and unsupported statements. This makes the option fully consistent with reasoning pedagogy.

Option C:
Option C is wrong as it includes D, which incorrectly reclassifies all “because” or “therefore” uses as description, and it omits A, the core definition of an argument. Without A, the option fails to define its central concept. Therefore B, C, D and E only cannot be chosen.

Option D:
Option D is incorrect because it includes F, treating unsupported statements as arguments, and it also omits B. This option mischaracterises both explanation and argument and leaves out an important conceptual distinction. As a result, A, C, E and F only is not a valid answer.

Badhita hetu is considered defective because its alleged vyapti cannot stand in the face of more authoritative evidence. For example, a reason that implies that fire is cold is immediately overturned by direct perception of heat. In such cases, even if the formal structure of the inference looks acceptable, the underlying universal relation is invalidated. Nyaya therefore treats the reason as defeated or badhita.

Option A:
Option A, savyabhicara, concerns irregularity of a reason across instances and not explicit conflict with a stronger pramana. The issue there is empirical deviation, not direct refutation.

Option B:
Option B, asiddha, involves non-establishment of the hetu in the paksha rather than its being contradicted at the level of vyapti.

Option C:
Option C is correct because badhita literally means "defeated" and is used when a proposed relation is annulled by superior sources like perception or scripture. It shows the need for harmony among pramanas in Nyaya.

Option D:
Option D, viruddha, denotes a reason that proves the opposite conclusion on its own, without needing external refutation, which is a different kind of defect.

Statements A, C and D are correct, while B and E are false. The post hoc fallacy wrongly infers causation merely from temporal order, ignoring other possible explanations. Because correlation and temporal succession alone are not enough, careful design and control of experiments are needed to eliminate competing causes. UGC NET questions sometimes present arguments that rely on this faulty reasoning and ask candidates to detect the mistake. Post hoc inference is therefore not a valid deductive form, making E incorrect, and the correct set is A, C, D only.

Option A:
Option A is incomplete as it omits D, leaving out the explicit connection to UGC NET question formats. A and C only thus does not satisfy the full requirements of the stem.

Option B:
Option B is wrong since it leaves out A, failing to state explicitly what the post hoc fallacy is, and C and D alone do not identify the fallacy pattern. C and D only therefore cannot be correct.

Option C:
Option C is correct because it captures the definition of the fallacy, the need for better evidence, and its appearance in exam items while excluding B and E, which overstate the power of correlation and treat post hoc as valid deduction.

Option D:
Option D is incorrect as it includes B, thereby wrongly claiming that correlation and temporal succession are always sufficient for causation, and so A, B, C, D only mixes truth with clear error.

Statements A, B and C correctly define simple, compound and categorical statements, and E is true about their relevance in symbolising arguments. D is false because compound statements can involve more than two components, such as “p and q and r”. F is false since an atomic statement by definition has no smaller independent statement-parts with their own truth values. Therefore the correct collection of true statements is A, B, C and E only.

Option A:
Option A is incorrect because it includes D, which wrongly restricts compound statements to exactly two components. That restriction does not hold in propositional logic where longer conjunctions and disjunctions are allowed. Hence this option mixes true and false statements.

Option B:
Option B is correct as it gathers all the accurate characterisations and the exam-related remark about symbolisation. It excludes D and F, both of which misrepresent the structure of simple and compound statements. This makes it the only fully consistent combination.

Option C:
Option C is wrong since it omits A, dropping the basic definition of a simple statement, and includes F, which falsely suggests divisibility of atomic sentences. As a result, the option does not contain all true statements and contains at least one false one.

Option D:
Option D is also incorrect because it includes D, preserving the mistaken limit on compound statements, and omits B, losing an essential part of the definition. This prevents the option from being correct.

Statements A, B, C, E and F are all correct, while D is false. Logical equivalence requires mutual entailment, so if p and q are equivalent, each entails the other, but a one-way entailment does not guarantee the reverse. Validity of an argument is defined by the impossibility of true premises with a false conclusion, and equivalence between complex forms can be checked via truth tables or algebraic laws. In UGC NET questions, recognising equivalence often allows candidates to prune options or see that two forms say the same thing.

Option A:
Option A is correct because it includes the proper definitions and relationships between equivalence and entailment and connects them to exam strategy, while excluding D, which overgeneralises from entailment to mutual equivalence. This option thus matches standard logical teaching. It also highlights the importance of equivalence in simplifying reasoning tasks.

Option B:
Option B is incomplete since it omits F, failing to mention how recognising equivalence supports option elimination in multiple-choice questions. While A, B, C and E are true, without F the answer does not fully address the UGC NET context. Therefore A, B, C and E only is not the best choice.

Option C:
Option C is wrong because it drops A and includes only B, C, E and F. Without A, the fundamental definition of logical equivalence in terms of truth values is missing, weakening the conceptual foundation. Hence B, C, E and F only cannot be considered complete.

Option D:
Option D is incorrect as it omits B and includes A, C, E and F only. Without B, the definition of argument validity is not stated, which is central to the question. Thus A, C, E and F only does not gather all the correct statements.

The pattern “if p, then q; q; therefore p” is invalid because q might be true for reasons other than p. Treating the truth of q as proof of p assumes that the conditional is reversible, which need not be the case. This mistake is traditionally labelled the fallacy of affirming the consequent. Thus the fallacy described in the stem is affirming the consequent.

Option A:
Option A is correct because the error lies precisely in affirming the consequent q and then asserting the antecedent p on that basis. The original conditional only states that p is sufficient for q, not that it is the only way for q to be true. The standard name of this misstep is affirming the consequent.

Option B:
Option B, denying, suggests the different fallacy of denying the antecedent, which has the form “if p, then q; not p; therefore not q”. That pattern is not the one presented in the question.

Option C:
Option C, reversing, is not the accepted technical term in logic textbooks for this specific formal fallacy. While the inference does in one sense reverse the direction of implication, the recognised label is affirming the consequent.

Option D:
Option D, weakening, is not a conventional name for any formal fallacy involving conditionals and does not capture the specific structure of the error described.

Statements A, B, D and E are correct, while C is false. Illicit process concerns the major or minor term being distributed in the conclusion without being distributed in its respective premise, violating the rule that distribution cannot increase from premise to conclusion. Errors involving the middle term give rise to fallacies like undistributed middle, not “illicit middle” in standard terminology. UGC NET questions often ask candidates to identify illicit major or minor in flawed syllogisms, so E is true. Therefore A, B, D, E only is the correct combination.

Option A:
Option A is incomplete because it omits E, failing to mention that this topic appears explicitly in exam items. A, B, D only thus does not fully respond to the stem.

Option B:
Option B is correct as it contains all true descriptive and exam-related statements and excludes C, which mislabels middle-term errors. This matches standard syllogistic terminology used in UGC NET preparation material.

Option C:
Option C is wrong since it leaves out A and still misclassifies the middle-term error as “illicit middle”, which is not the usual name. B, D, E only therefore provides an incomplete and partly incorrect picture.

Option D:
Option D is incorrect because it includes C, the misnamed error, and so A, B, C, D only mixes correct information with an inaccurate label. It cannot be accepted as the correct option.

Statements A, B and D are correct, while C and E are false. Advaita Vedānta extends Nyaya’s four pramāṇas by adding arthāpatti and anupalabdhi, leading to a six-pramāṇa list that is a standard exam item. Not all Vedānta schools reduce these two to other pramāṇas; some take them as distinct, so C misrepresents the range of views. Nyaya keeps to four pramāṇas and does not exactly match the Advaita list, making E wrong. UGC NET indeed asks which systems accept more than four pramāṇas, justifying D. Hence A, B, D only is the correct set.

Option A:
Option A is incomplete because it omits D, ignoring the exam angle that the stem explicitly mentions. A, B only therefore does not fully answer the question.

Option B:
Option B is incorrect since it leaves out B and includes only A and D, losing the detail that arthāpatti and anupalabdhi are the two additions. A, D only thus provides an incomplete picture.

Option C:
Option C is wrong as it includes E, which falsely equates Nyaya’s pramāṇa list with Advaita’s, and leaves out A, so B, D, E only mixes true and false statements.

Option D:
Option D is correct because it groups all and only the true statements, capturing both the doctrinal expansion and the exam relevance while excluding C and E, which misstate the positions of Vedānta and Nyaya.

Statements A, B, C and D correctly summarise standard relationships on the traditional square of opposition, whereas E is false. Contradictory propositions cannot both be true and cannot both be false, and contraries cannot both be true but may both be false. “All S are P” versus “No S are P” are contraries, while “All S are P” versus “Some S are not P” are contradictories. The pair “Some S are P” and “No S are P” are also contradictories, not contraries, making E the only wrong statement.

Option A:
Option A is incorrect because it includes D as wrong along with E, but D accurately states a classic contradictory pair. Treating both D and E as wrong would misrepresent the structure of the square of opposition.

Option B:
Option B is also wrong since it marks C as wrong along with E, even though C correctly identifies “All S are P” and “No S are P” as contraries. C and E only therefore misclassifies a true statement as false.

Option C:
Option C is correct because it isolates E, the misidentified pair of contraries, as the sole incorrect statement and leaves the accurate descriptions in A, B, C and D untouched. This matches standard logic used in UGC NET preparation.

Option D:
Option D is incorrect as it groups C and D with E, thereby wrongly casting doubt on correctly named contrary and contradictory pairs. C, D and E only thus fails to preserve reliable information about AEIO relations.

The phrase “p if and only if q” asserts both “if p, then q” and “if q, then p”. In propositional logic, this two-way connection is expressed by the biconditional connective. A biconditional is true exactly when both components share the same truth value. Therefore the compound statement in the stem is called a biconditional.

Option A:
Option A, disjunction, joins statements with “or” and does not require them to share truth values. It lacks the two-way commitment of “if and only if”. Thus disjunction is not the correct answer.

Option B:
Option B, implication, represents the one-way conditional “if p, then q”. It does not capture the reverse implication from q to p. Hence implication alone does not fit the form described.

Option C:
Option C correctly names biconditional as the connective corresponding to “if and only if”. It combines two conditionals into a single equivalence statement. Therefore biconditional is the best choice here.

Option D:
Option D, negation, simply reverses the truth value of a single statement. It cannot express a mutual dependence between two propositions. Consequently negation is not suitable.

A sound argument is defined as a valid argument with all true premises. Because of validity, the conclusion logically follows from the premises. Because the premises are true, the conclusion must also be true in reality. Thus the description in the stem corresponds exactly to the notion of a sound argument.

Option A:
Option A, strong, usually refers to inductive arguments in which the premises make the conclusion highly probable. Strength does not guarantee truth with necessity and need not involve validity. Therefore strong is not the correct technical term here.

Option B:
Option B correctly names a sound argument as one that is valid with true premises. Such arguments provide the highest level of logical assurance about their conclusions. Hence sound is the most appropriate choice for the situation described.

Option C:
Option C, cogent, also describes a good inductive argument with strong support and true premises. However, cogency belongs to inductive, not strictly valid deductive, reasoning. Thus cogent does not match the definition given in the stem.

Option D:
Option D, invalid, refers to an argument whose conclusion does not follow necessarily from its premises. In an invalid argument, true premises may still lead to a false conclusion. Therefore invalid is the opposite of what is described and cannot be correct.

A, B, D and E are correct; C is false. Nyaya treats dreams as illusory/non-veridical rather than paradigms of valid perception. It defines perception via sense–object contact and distinguishes nirvikalpaka and savikalpaka stages, and UGC NET may test such details.

Option A:
Option A is incomplete because it omits E (exam relevance), which is true.

Option B:
Option B is correct because it includes all true statements and excludes C (false about dreams).

Option C:
Option C is incomplete because it omits A (definition of perception), which is true.

Option D:
Option D is incorrect because it includes C (false).