UGC NET Questions (Paper – 1)

Statements A, B and C correctly describe mood, figure and the Barbara form, and E is also true, while D and F are false. The three-term rule states that a valid syllogism must have exactly three distinct terms, so a four-term syllogism is invalid. In the second figure, the middle term actually appears as predicate in both premises, not “never as predicate”. Exam items often ask students to classify mood and figure. Thus the correct group of statements is A, B, C and E only.

Option A:
Option A is incomplete because it leaves out E, which notes the exam practice of asking about mood and figure. Although A, B and C describe the technical notions, they do not show how these ideas appear in UGC NET. Therefore this combination is not fully aligned with the question.

Option B:
Option B is correct since it collects the three structural facts and the exam-oriented statement while excluding D and F, which contradict basic rules. It stays faithful to both classical logic and test patterns. This makes it the accurate choice.

Option C:
Option C is wrong because it includes D, incorrectly claiming that a four-term syllogism is valid, and still omits nothing to correct that mistake. Once the number of distinct terms exceeds three, the form cannot be a standard valid syllogism. Hence the option is logically flawed.

Option D:
Option D is incorrect since it uses B, C, E and F only, omitting A and accepting F. Without A, the meaning of mood is missing, and F misdescribes the position of the middle term in the second figure. Therefore this option cannot be the right answer.

Statements A–E are correct: A and B define completeness/consistency; C notes the basic Gödel point for arithmetic; D applies to propositional logic; E matches exam expectations. F is false because in an inconsistent system, contradictions can trivialise reasoning (anything may follow), making it unsafe. Thus A, B, C, D and E only is correct.

Option A:
Option A is incomplete because it omits E.

Option B:
Option B is incorrect because it omits A (definition of completeness).

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

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

A valid argument is one in which, if the premises are true, the conclusion must be true because of the logical structure. Validity concerns the form of the argument rather than the actual truth of the premises. In mathematical reasoning and proofs, ensuring validity guarantees that no incorrect conclusion is drawn from correct assumptions. Therefore, the phrase "conclusion necessarily follows from the premises" directly describes a valid argument.

Option A:
A sound argument is valid and also has all true premises, which is a stronger condition than mere validity. The question, however, focuses only on the logical relation between premises and conclusion, not on whether the premises are true. Because soundness includes an extra requirement not mentioned, this term does not exactly match the description. Hence, it is not the best answer.

Option B:
A strong argument is a term more often used in inductive reasoning to indicate that the premises provide substantial support for the conclusion, but not certainty. Strength suggests high probability, not logical necessity. Since the question emphasises that the conclusion necessarily follows, "strong" is not the correct technical term.

Option C:
A weak argument gives little support to its conclusion and often suffers from logical gaps or insufficient evidence. It certainly does not guarantee that the conclusion follows from the premises. Thus, it is almost the opposite of what the question describes. Consequently, this option is clearly incorrect.

Option D:
Valid is correct because validity captures exactly the idea that the logical form forces the conclusion to follow from the premises. It does not depend on content but on structure, which is crucial in mathematical proofs and reasoning. Recognising validity helps in evaluating arguments on exams and in solving theoretical problems.

A correct deductive pattern guarantees the truth of the conclusion whenever the premises are true. The form “If it rains, the ground gets wet; it is raining; therefore the ground will get wet” is a classic example of modus ponens. Here the condition and its antecedent are both asserted, making the consequent logically necessary. There is no gap between the premises and the conclusion in such a structure.

Option A:
Option A has the structure “If P then Q; P; therefore Q,” which is modus ponens, a standard valid deductive form where the conclusion necessarily follows if the premises are true.

Option B:
Option B, “The ground is wet, so it must have rained,” affirms the consequent and concludes the antecedent. This is the fallacy of affirming the consequent, because wet ground can have other causes.

Option C:
Option C makes a prediction based on temporal repetition, which is inductive rather than deductive.

Option D:
Option D treats a cloudy sky as a sufficient condition for rain, which is not logically guaranteed and again represents an inductive guess, not a valid deduction.

A deductive argument is one in which, if the premises are true, the conclusion must be true. In the metals example, the general premise covers all metals, and the second premise identifies copper as a member of that class. The conclusion about copper’s conductivity follows necessarily from these two claims. There is no room for the conclusion to be false if both premises hold, which is the hallmark of deductive reasoning.

Option A:
Option A uses a classic syllogistic structure: a universal generalisation plus a specific instance leading to a necessity claim. This structure guarantees the conclusion whenever the premises are accepted as true.

Option B:
Option B is inductive because it generalises from sample data to a broader population with only probable support.

Option C:
Option C is a weak inductive prediction based on a single previous observation and does not claim necessity.

Option D:
Option D overgeneralises from one case and therefore is inductive and also fallacious, not deductive.