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UGC NTA NET — JRF ONLINE TUTORIAL - MYS, TEST FOR LOGIC —- FORMAL AND SYMBOLIC, 30 Questions, 2 Points each, No Negative Marking, , Duration: 36 mins, , 1. Match the following:, List | List 2, . Distribution l. (pv q)=(qvp), , A, B. Transposition 2. [pe(qvrJ=l(p*q)v (per), C. Commutation 3. (p> q) =(~pvq), D. Material Implication 4.p>q)=(~q>~p), Choices:, A B c D, a) 2 I 4 3, b). 2 4 3 1, ec). 2 4 1 3, d). 1 2 4 3, , 2. A statement form is said to be tautologous:, , a). If its substitution instances are neither true nor fulse., , b). If all of its substitution instances are true., , c). If all of its substitution instances are false., , d). If its substitution instances are a mixture of true and false., , 3. The Quantity of a proposition is determined by the of the subject., a). Extension, b). Predicate, c). Intension, , d). Quality, , 4. If O proposition given as false the corresponding A, E and I will be, a). A is false and E and I are undetermined., , b). Eis false and both A and I are undetermined., , c). A is true, E is false and I is fulse., , d). A is true, E is false and | is true.

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5. Select the contrapositive of “Some non-citizens ure not non-residents.”, a). Some residents are not citizens., , b). Some non-residents are citizens., , c). Some non-citizens are residents., , d). Some citizens are not residents., , 6. Given below are two premises (A and B). Four conclusions are drawn from, them. Select the code that states validly drawn conclusion (s) [taking premises, individually or jointly]., , A. All mammals are warm-blooded animals., , B. No lizards are warm-blooded animals., , Conclusions:, , 1.No lizards are mammals., , 2. Some lizards are not mammals., , 3. No warm-blooded animals are lizards., , 4. All warm-blooded animals are mammals., , Choices:, , a). 3 and 4, b). 1 and 2, c). 2 and 3, d). | and 3, , 7. Consider the following propositions and choose the correct answer:, a). The statements are opposed in Quality and not in Quantity., , b). The statements are opposed both in Quality and Quantity., , c). The statements are opposed in Quantity only., , d). The statements are opposed in Quality only., , 8. Which of the following is a tautology?, a). P*~P, , b). PvP, , c).P>P, , d).P*P, , 9. Which one among the following is not a law of thought?, a). The principle of excluded middle, , b). Principle of identity, , c). Principle of insufficient reason, , d). The principle of non-contradiction

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10. Given below are two premises (A and B). Four conclusions are drawn from, them. Select the code that states validly drawn conclusion (s) [taking premises, individually or jointly]., , A. Some women are teachers., , B. All teachers are hard-working., , Conclusions:, , 1.All hard-working people are teachers., 2.All teachers are not women., , 3. Some hard-working teachers are women., 4. Some women are hard-working., , Choices:, , a). 1 and 2, b). l and 4, c). 2 and 3, d). 3 and 4, , 11. Match the following:, List 1 List 2, A. Camestres 1. 4" figure, B. Ferio 2. 1" figure, C. Datisi 3. 2" figure, D. Dimaris 4. 3 figure, , Choices:, , a)., b)., c)., d)., , hee wD, , NNN ED, ww &, , wene O, , 12. If two propositions can both be true, but cannot both be false together, their, relation is:, , a). Sub-altern, , b). Sub-contrary, , c). Contradictory, , d). Contrary

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13. Match the following:, , List 1 List 2, A. Law of non-contradiction 1.~(P*~P), B. Law of Identity 2.Pv~P, C. Law of Excluded Middle a.PoaP, Choices:, A B Cc, a) 2 I 3, b). 1 3 2, c) 3 I 2, , d). All of the above, , 14. If the proposition “domestic animals are hardly ferocious’ is taken to be, false, which of the following proposition/propositions can be claimed to be, certainly true? Select the correct code., , Propositions:, , 1. All domestic animals are ferocious., , 2. Most of the domestic animals are ferocious., , 3. No domestic animal is ferocious., , 4. Some domestic animals are non-ferocious., , Choices:, a). | only, b). | and 2, c). 3 and 4, d), 2 only, , 15. Which of the following is a correct statement in the light of truth and, validity?, , a). The validity of an argument does guarantee the truth of its conclusion., , b). Truth and validity are attributed to the arguments while validity and, invalidity are attributed to the propositions., , c). The truth or falsity of an argument’s conclusion does by itself determine the, validity and invalidity of the conclusion., , d). The truth or falsity of the argument’s conclusion does not by itself determine, the validity and invalidity of that argument and the fact that an argument is valid, does not guarantee the truth of its conclusion.

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16. Match the following:, , List 1 List 2, A. If A is false 1. Lis undetermined, B. If Lis false 2. O is undetermined, C. If O is true 3. E is undetermined, D. If Lis true 4. A is false, Choices:, A B Cc D, a) 3 2 1 4, b). 63 1 2 4, c). 1 4 3 2, d). 1 3 4 2, , 17. Among the following there are two statements, which can’t be true together,, but can be false together. Select the code that represents them., , Statements:, , 1. All poets are dreamers, , 2. No poets are dreamers, , 3. Some poets are dreamers, , 4. Some poets are not dreamers, , Choices:, , a). 3 and4, b). | and 2, c).2 and 4, d). 1 and 4, , 18. Statements, , 1. Negation is a binary truth-functional operator, , 2. Inductive leap makes the conclusion of an inductive argument probable, , 3. Boolean interpretation accepts only the contradictory square of opposition of, propositions, , 4. Truth table is a decision procedure, , Choices:, , a). None of the statement is correct., b). Statement 2, 3 and 4 are true., c). Both statement 3 and 4 are true., d). Only statement 3 is true.