Quiznetik
Symbolic Logic | Set 1
1. Logic is a-------- science
A. positive science
B. normative science
C. descriptive science
D. none of these
Correct : B. normative science
2. Logic is the Science of --------
A. plants
B. thought
C. wealth
D. society
Correct : B. thought
3. In Symbolic logic, ________ do not change their value.
A. constants
B. negation
C. variables
D. inference
Correct : A. constants
4. In _______ proposition, two simple propositions are combined by ‘either -- or’.
A. disjunctive c
B. negative
C. conjunctive
D. implication
Correct : A. disjunctive c
5. ‘Socrates is a Philosopher’ is a -------- proposition
A. compound
B. simple
C. general
D. none of these
Correct : B. simple
6. ‘If it is raining then the ground will be wet’ is an example of ________.
A. negation
B. conjunction
C. disjunction
D. implication
Correct : D. implication
7. A curl is also called ________.
A. tilde
B. dot
C. wedge
D. horseshoe
Correct : A. tilde
8. ‘If p, then q and r’ is symbolized as _________.
A. p ∙ (q ∙ r)
B. (p ∙ q) ∙ r
C. (~p ∙ q) ∙ r
D. p⊃ (q ∙ r)
Correct : D. p⊃ (q ∙ r)
9. ’ Ram is tall and Das is short’ is an example of --------- proposition
A. compound
B. simple
C. general
D. none of these
Correct : A. compound
10. Symbolic expression of ‘p implies q’ is
A. p ∙ q
B. p v q
C. p כ q
D. p ≡ q
Correct : D. p ≡ q
11. ----------- changes its value from argument to argument.
A. variable
B. constant
C. both (a) and (b)
D. none of these
Correct : A. variable
12. Wedge symbol denotes ________ function.
A. negation
B. conjunction
C. disjunction
D. implication
Correct : C. disjunction
13. ---------- symbol stands for ‘if -- then’ relationship.
A. ∙
B. כ
C. ∨
D. ~
Correct : B. כ
14. In the compound statement ‘p ⊃ q’, ‘p’ and ‘q’ are _________.
A. constants
B. bi conditionals
C. variables
D. none of these
Correct : C. variables
15. ‘Raju is not honest’ is an example of a _________ proposition.
A. bi conditional
B. conjunctive
C. disjunctive
D. negative
Correct : D. negative
16. The known propositions in an Inference is called
A. conclusion
B. predicate
C. premises
D. none of these
Correct : B. predicate
17. ‘~’ is _________ symbol
A. disjunction
B. implication
C. negation
D. none of these
Correct : C. negation
18. In conjunctive propositions, two simple propositions are joined by the word _________.
A. either – or
B. and
C. if -- then
D. either – or
Correct : B. and
19. The language used with the purpose of giving information is called --- function of language
A. expressive
B. informative
C. directive
D. none of these
Correct : B. informative
20. ‘Logic is the study of correct reasoning’ is an example for ---- function of language
A. informative
B. expressive
C. directive
D. none of these
Correct : A. informative
21. By using ________, the logical form of an argument becomes explicit.
A. truth tables
B. truth values
C. symbols
D. none of these
Correct : C. symbols
22. The constant symbol ‘ ’ stands for ________. ѵ
A. disjunction
B. implication
C. negation
D. none of these
Correct : A. disjunction
23. The use of language for expressing one’s feelings and emotions and thoughts are called ----
A. informative
B. expressive
C. directive
D. none of these
Correct : B. expressive
24. ‘That is really great’ is an example of ------ use of language
A. informative
B. expressive
C. directive
D. none of these
Correct : B. expressive
25. The use of language that seeks for guide or to command is --- function of language
A. expressive
B. informative
C. directive
D. none of these
Correct : C. directive
26. ’Shut the door’ is an example of ------ --- function of language
A. informative
B. expressive
C. directive
D. none of these
Correct : C. directive
27. By using ________, the validity of an argument can be determined more accurately.
A. numbers
B. linguistic expressions
C. symbols
D. all these
Correct : C. symbols
28. The new proposition derived from premises in an Inference is called
A. premises
B. conclusion
C. copula
D. predicate
Correct : B. conclusion
29. A compound proposition in which simple propositions are combined using ‘and’ is called
A. bi conditionals
B. disjunction
C. conjunction
D. none of these
Correct : C. conjunction
30. ‘p q’ is a ________ proposition. ѵ
A. disjunction
B. implication
C. negation
D. none of these
Correct : A. disjunction
31. ‘The Mathematical Analysis of Logic’ is the work of -----
A. whitehead
B. a j ayer
C. russell
D. george boole
Correct : D. george boole
32. ‘An Investigation of the Laws of Thought’ is the work of -----
A. george boole
B. a j ayer
C. russell
D. whitehead
Correct : A. george boole
33. In collaboration with A.N. Whitehead, ----- published Principia Mathematica
A. whitehead
B. a j ayer
C. russell
D. george boole
Correct : C. russell
34. _________ is a truth-functional connective.
A. dot
B. wedge
C. horseshoe
D. all these
Correct : D. all these
35. The symbol for conjunction is --------
A. dot
B. wedge
C. horseshoe
D. all these
Correct : A. dot
36. The ‘If’ part in a Hypothetical proposition is called
A. alternative
B. consequence
C. antecedent
D. none of these
Correct : C. antecedent
37. The ‘Then’ part in a Hypothetical proposition is called
A. alternative
B. consequence
C. antecedent
D. none of these
Correct : B. consequence
38. ---------- symbol stands for ‘either - or ’ relationship.
A. ∙
B. כ
C. ∨
D. ~
Correct : C. ∨
39. ‘≡’ is the symbol for ________.
A. negation
B. conjunction
C. implication
D. none of these
Correct : D. none of these
40. ‘If a and b, then c’ is symbolized as _________.
A. [(a . b) כ c]
B. [a כ) b . c)]
C. [( ~a כ b) .c ]
D. [(a כ b) v c)]
Correct : A. [(a . b) כ c]
41. ‘You will pass the exam only if you work hard’ is symbolized as _________.
A. p כ w
B. p . w
C. p v w
D. none of these
Correct : A. p כ w
42. ---------- symbol stands for ‘if and only if’ relationship.
A. ∙
B. כ
C. ∨
D. ≡
Correct : D. ≡
43. p . q is the symbolic expression of ------
A. either p or q
B. p implies q
C. p and q
D. p if and only if q
Correct : C. p and q
44. The horseshoe symbol indicates ------ function
A. negation
B. conjunction
C. implication
D. material equivalence
Correct : C. implication
45. ‘Ram and Dinesh will not both be elected’ is symbolized as
A. . (r . d)
B. . (~r. d )
C. . ~ (r . d) d). (~r. ~
Correct : C. . ~ (r . d) d). (~r. ~
46. ‘Either Alice or Betty will be elected’ is symbolized as
A. a .b
B. a v b
C. a ≡ b
D. a כ b
Correct : B. a v b
47. ‘Ram is not honest’ is symbolized as ----
A. ~ r
B. r
C. r . h
D. r כ h
Correct : A. ~ r
48. ‘Anu is short and Balu is tall’ is symbolized as ----
A. a v b
B. a. b
C. a≡ b
D. a כ b
Correct : B. a. b
49. ‘~ ~’ is the symbol for ________.
A. bi conditionals
B. disjunction
C. double negation
D. none of these
Correct : C. double negation
50. ‘Anu is not short and Balu is not tall’ is symbolized as ----
A. a v b
B. a . b
C. ~a . ~ b
D. none of these
Correct : C. ~a . ~ b
51. ‘p and negation q’ is the symbolized as
A. p v ~q
B. p .q
C. p כ~ q
D. p . ~ q
Correct : D. p . ~ q
52. In Conjunction the word ------- is used to conjoin statements
A. either or
B. and
C. if -- then
D. none of these
Correct : B. and
53. Conjunction is a ------ statement
A. simple
B. compound
C. general
D. none of these
Correct : C. general
54. _________ symbol is used to form an implicative statement.
A. horseshoe
B. wedge
C. dot
D. none of these
Correct : A. horseshoe
55. ‘If Raju attend the class, then Damu will not attend the class’ can be symbolized as -----
A. ~ (r. d)
B. ~ (r v d)
C. (~ r כ d)
D. r כ~ d
Correct : D. r כ~ d
56. The word ‘And’ is used in ------
A. negation
B. conjunction
C. implication
D. material equivalence
Correct : B. conjunction
57. In Conjunction, if p is false and q is true p . q is --------
A. true
B. false
C. cannot be determined
D. none of these
Correct : B. false
58. The statement form p v ~p is a
A. tautology
B. contingent
C. contradictory
D. none of these
Correct : A. tautology
59. In implication, if p is true and q is false p כ q is -------
A. true
B. false
C. cannot be determined
D. none of these
Correct : B. false
60. The statement form p .~p is a ----
A. tautology
B. contingent
C. contradictory
D. none of these
Correct : C. contradictory
61. In Disjunction, if p is false and q is false p v q is -------
A. false
B. true
C. cannot be determined
D. none of these
Correct : A. false
62. The statement form p . q is a ----
A. tautology
B. contingent
C. contradictory
D. none of these
Correct : B. contingent
63. In Conjunction, if p is true and q is true p . q is --------
A. true
B. false
C. cannot be determined
D. none of these
Correct : A. true
64. The truth value of a false statement is ------
A. true
B. false
C. cannot be determined
D. none of these
Correct : B. false
65. In implication, if p is false and q is false, p כ q is -------
A. true
B. false
C. cannot be determined
D. none of these
Correct : A. true
66. The truth value of a true statement is ------
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
67. In Disjunction, if p is true and q is false, p v q is -------
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
68. The specific form of the statement B v ~B is ----
A. p
B. p v ~ p
C. cannot be determined
D. none of these
Correct : B. p v ~ p
69. In Conjunction if p is true and q is false, p . q is --------
A. true
B. false
C. cannot be determined
D. none of these
Correct : B. false
70. The specific form of the statement A כ) B v C) is ----
A. p
B. p כ q
C. p כ) q v r)
D. none of these
Correct : C. p כ) q v r)
71. In implication, if p is false and q is true, p כ q is -------
A. true
B. false
C. cannot be determined
D. none of these
Correct : A. true
72. Which of the following is the substitution instance of the statement form p. ~p
A. c v ~c
B. c. ~c
C. c כ~ c
D. none of these
Correct : B. c. ~c
73. In Disjunction, if p is false and q is true, p v q is -------
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
74. A statement or statement form of the pattern p ≡ q is called ----
A. biconditional
B. disjunction
C. double negation
D. none of these
Correct : A. biconditional
75. In Conjunction if p is false and q is false , p . q is --------
A. true
B. false
C. cannot be determined
D. none of these
Correct : B. false
76. In implication if p is true and q is true, p כ q is -------
A. true
B. false
C. cannot be determined
D. none of these
Correct : A. true
77. In Disjunction if p is true and q is true, p v q is -------
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
78. ‘Ramesh is honest and Dinesh is intelligent’ is a ------- proposition.
A. general
B. simple
C. compound
D. none of these
Correct : C. compound
79. Which word is used to form the disjunction of two statements?
A. either or
B. and
C. if -- then
D. none of these
Correct : A. either or
80. What is the truth value of a conjunction, if both of its conjuncts are true ?
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
81. p. q . . p This rule of inference is known as -------
A. modus ponens
B. modus tollens
C. simplification
D. none of these
Correct : C. simplification
82. The negation of a true statement is ---------
A. false
B. true
C. cannot be determined
D. none of these
Correct : A. false
83. A valid argument with all true premises is termed as ------- argument
A. cogent
B. sound
C. cannot be determined
D. none of these
Correct : B. sound
84. The falsehood of conclusion in an argument does not guarantee the ------ of an argument
A. validity
B. invalidity
C. both a and b
D. none of these
Correct : B. invalidity
85. ‘Roses are red and Violets are blue’ is a ----------- statement
A. negation
B. conjunctive
C. implication
D. material
Correct : B. conjunctive
86. A conjunction is true if both of its conjuncts are ----------
A. false
B. true
C. cannot be determined
D. none of these
Correct : B. true
87. ‘Shiv is tall and Ramu is short’ is a ------ statement
A. simple
B. compound
C. general
D. none of these
Correct : A. simple
88. ‘Roses are red and Violets are not blue’ is symbolized as ------
A. r.v
B. r . ~ v
C. r v v
D. none of these
Correct : B. r . ~ v
89. If B is true, Y is false , then the truth value of the compound statement ~ ( B. ~ Y) is -----
A. false
B. true
C. cannot be determined
D. none of these
Correct : A. false
90. ‘Either P or Q will be selected’ is symbolized as
A. p.q
B. p v q
C. p כ q
D. none of these
Correct : B. p v q
91. If A is true, X is false, then the truth value of the compound statement ~ ( A v X ) is -----
A. false
B. true
C. cannot be determined
D. none of these
Correct : A. false
92. Bi-conditional proposition is a ----- proposition
A. implication
B. disjunction
C. simple
D. compound
Correct : D. compound
93. _________ symbol is used to connect statements conjunctively.
A. horseshoe
B. wedge
C. tilde
D. none of these
Correct : D. none of these
94. Two statements are logically equivalent when their material equivalence is a -----
A. contradiction
B. contingent
C. conjunction
D. tautology
Correct : D. tautology
95. ‘I will go to the cinema if and only if my friend comes with me’ is a --- proposition
A. implication
B. disjunction
C. negation
D. biconditional
Correct : D. biconditional
96. The statement form with only false substitution instances is called _________.
A. contradiction
B. contingent
C. conjunction
D. tautology
Correct : A. contradiction
97. The statement form with only true substitution instances is called _________.
A. contradiction
B. contingent
C. conjunction
D. tautology
Correct : D. tautology
98. ‘p v q’ is false if _________.
A. only p is false
B. both p and q are true
C. both p and q are false
D. none of
Correct : C. both p and q are false
99. ‘Arjun is honest but Ganesh is sincere’ is symbolized as----
A. a v g
B. a . g
C. a כ~ g
D. none of these
Correct : B. a . g
100. ‘If antecedent, then consequent’ is a general form of .______.
A. implication
B. disjunction
C. negation
D. argument
Correct : A. implication