Modern Symbolic logic MCQ Questions and Answers

51

Syllogism fail to establish conclusion In many different ways, Iogically it is said . . . . . . . .

A) Invalid syllogism B) Fallacy C) Mistake D) Incomplete sentence

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Answer & Solution

Answer: Option B

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52

Which one of the following is conditional?

A) Conjunction B) Disjunction C) Implication D) Negation

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Answer & Solution

Answer: Option C

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53

Match List-I with List-II and select the correct answer:

List-I (Name of the logical equivalent)	List-II (Form of logical equivalent)
a. Commutation	1. (p ⊃ q) ≡ (∼ q ⊃ ∼ p)
b. Distribution	2. (p ∨ q) ≡ (q ∨ p)
c. Transposition	3. (p ⊃ q) ≡ (∼ p ∨ q)
d. Material implication	4. [p ⋅ (q ∨ r)] ≡ [(p ⋅ q) ∨ (p ⋅ r)]

A) a-2, b-1, c-3, d-4 B) a-1, b-3, c-4, d-2 C) a-2, b-3, c-4, d-1 D) a-2, b-4, c-1, d-3

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Answer & Solution

Answer: Option D

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54

How the Universal proposition is used ?

A) No value of X B) All value of X C) Same value of X D) For all value of X

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Answer & Solution

Answer: Option D

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55

Which one of the following expression is the correct form of Demorgan theorem?

A) [(p ≡ q)] ≡ [(p > q) . (q > p)] and [(p ≡ q)] ≡ [(p.q) ∨ (∼ p. ∼p)] B) [∼ (p.q)] ≡ [(∼ p∨ ∼ q)] and [∼ (p ∨ q)] ≡ [(∼ p. ∼q)] C) [p ≡ (p.p)] and [p ≡ (p ∨ p)] D) [(p.q) ≡ (q.p)] and [(p ∨ q) ≡ (q ∨ p)]

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Answer & Solution

Answer: Option B

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56

In the for (p ⊃ q) ∨ p. How many propositional variables are present?

A) 2 B) 3 C) 1 D) 4

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Answer & Solution

Answer: Option A

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57

What do you understand by the word 'Argument'?

A) Providing true statements B) Post event explanation C) Provide reason without any evidence just by reasoning D) Providing reason in support of any claim with evidence

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Answer & Solution

Answer: Option D

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58

Consider the following argument and argument form
1. (A.B) ⊃ C
(A.B)
∴ C
2. p ⊃ q
p
∴ q
Select the correct answer:

A) 1 is the argument form of 2 B) 2 is the specific argument form of 1 C) 2 is the argument form of 1 D) 1 is the specific argument form of 2

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Answer & Solution

Answer: Option C

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59

In Logic, semantic completeness is regarded as the converse of soundness for

A) Inductive logic B) Deductive logic C) Informal system D) Formal system

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Answer & Solution

Answer: Option D

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60

Negation symbol (∼) used to state the value of ∼ p as

A) p and not p is same B) p is not possible C) it is not the case that p D) it is totally the case of p

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Answer & Solution

Answer: Option C

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