Q: Which of the following statements about conditionals and necessary–sufficient conditions in logical reasoning are correct?
(A) A statement of the form “If p then q” is false only when p is true and q is false;
(B) A necessary condition for q is one without which q cannot occur;
(C) A sufficient condition for q is one that, if it holds, guarantees q in the given context;
(D) Confusing necessary and sufficient conditions can lead to fallacies such as affirming the consequent;
(E) In the statement “If it rains, the ground gets wet”, rain is treated as a sufficient condition for wet ground;
(F) “Being a square” is necessary but not sufficient for “being a rectangle”;
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Q: Which of the following statements about distribution in categorical propositions are correct?
(A) A universal affirmative (A) proposition distributes the subject term but not the predicate term;
(B) A universal negative ;
(E) proposition distributes both the subject and the predicate terms;
(C) A particular affirmative (I) proposition distributes both the subject and the predicate terms;
(D) A particular negative (O) proposition distributes the predicate term but not the subject term;
(E) In the traditional square of opposition, A and O statements form a pair of contradictories;
(F) In modern logic, all four categorical forms A, E, I and O are assumed to be existentially loaded;
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Q: Which of the following statements about testing validity by truth tables are correct?
(A) To test an argument with a truth table, we look for rows where all premises are true;
(B) If in every row where the premises are true the conclusion is also true, the argument form is valid;
(C) If there is at least one row where all premises are true and the conclusion is false, the form is invalid;
(D) It is necessary to examine only one arbitrarily chosen row to decide validity;
(E) In UGC NET, small truth tables may be reasoned mentally without fully writing them;
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Q: Which of the following statements about vyāpti in Indian logic are correct?
(A) Vyāpti refers to the invariable concomitance between hetu and sādhya;
(B) Vyāpti is known through repeated observation together with the absence of counterexamples;
(C) In Nyaya, vyāpti is regarded as the ground of inference; without vyāpti there is no valid anumāna;
(D) A single accidental co-occurrence of two properties is sufficient to establish vyāpti;
(E) Vyāpti is always treated as an a priori truth entirely independent of experience in Nyaya;
(F) UGC NET questions often use the smoke–fire example to illustrate vyāpti;
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Q: Which of the following statements about conversion, obversion and contraposition are correct?
(A) Conversion interchanges the subject and predicate while preserving quality, and is valid for E and I propositions;
(B) Obversion changes the quality of a proposition and replaces the predicate term with its complement;
(C) Contraposition interchanges subject and predicate and replaces each with its complement, and it is fully valid for A and O propositions in traditional logic;
(D) Simple conversion of an A proposition is always valid in traditional logic;
(E) Obversion is a logically valid operation for all four forms A, E, I and O;
(F) UGC NET logical reasoning questions may ask which immediate inference has been used in a given transformation;
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Q: Which of the following statements about theories of illusion (khyāti) in Indian epistemology are correct?
(A) In Nyaya, illusion is often explained by misapplying a remembered property to a present perceptual content, as in seeing silver in mother-of-pearl;
(B) This explanation is sometimes described as anyathā-khyāti, where something is presented as something else;
(C) Advaita Vedānta explains illusion differently, often through anirvacanīya-khyāti, claiming the illusory object is indescribable as real or unreal;
(D) Both schools agree that illusions are genuine pramāṇas in the sense of yielding true knowledge;
(E) UGC NET questions may compare these theories as part of Indian logic and epistemology;
(F) Khyāti-vāda as a topic concerns theories of erroneous cognition;
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Q: Which of the following statements about informal quantifier ideas are correct?
(A) The statement “There exists at least one x such that P(x)” is symbolised using the existential quantifier;
(B) The universal quantifier is typically read “for all x” or “for every x”;
(C) The claim “At most one object has property P” can be expressed by saying that if any two objects both have P, then they are identical;
(D) The statement “Exactly one object has P” combines “at least one” and “at most one” conditions;
(E) In UGC NET questions, candidates may be asked to reason informally with such quantifier ideas even without full symbolic notation;
(F) The existential quantifier by itself is sufficient to capture all these “at least”, “at most” and “exactly one” claims without any further logical structure;
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