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380+ Symbolic Logic Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Bachelor of Arts in Philosophy (BA Philosophy) , Master of Arts in Philosophy (MA Philosophy) .

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51.

‘p and negation q’ is the symbolized as

A. p v ~q
B. p .q
C. p כ~ q
D. p . ~ q
Answer» D. p . ~ q
discuss
52.

In Conjunction the word ------- is used to conjoin statements

A. either or
B. and
C. if -- then
D. none of these
Answer» B. and
discuss
53.

Conjunction is a ------ statement

A. simple
B. compound
C. general
D. none of these
Answer» C. general
discuss
54.

_________ symbol is used to form an implicative statement.

A. horseshoe
B. wedge
C. dot
D. none of these
Answer» A. horseshoe
discuss
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
Answer» D. r כ~ d
discuss
56.

The word ‘And’ is used in ------

A. negation
B. conjunction
C. implication
D. material equivalence
Answer» B. conjunction
discuss
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
Answer» B. false
discuss
58.

The statement form p v ~p is a

A. tautology
B. contingent
C. contradictory
D. none of these
Answer» A. tautology
discuss
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
Answer» B. false
discuss
60.

The statement form p .~p is a ----

A. tautology
B. contingent
C. contradictory
D. none of these
Answer» C. contradictory
discuss
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
Answer» A. false
discuss
62.

The statement form p . q is a ----

A. tautology
B. contingent
C. contradictory
D. none of these
Answer» B. contingent
discuss
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
Answer» A. true
discuss
64.

The truth value of a false statement is ------

A. true
B. false
C. cannot be determined
D. none of these
Answer» B. false
discuss
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
Answer» A. true
discuss
66.

The truth value of a true statement is ------

A. false
B. true
C. cannot be determined
D. none of these
Answer» B. true
discuss
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
Answer» B. true
discuss
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
Answer» B. p v ~ p
discuss
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
Answer» B. false
discuss
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
Answer» C. p כ) q v r)
discuss
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
Answer» A. true
discuss
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
Answer» B. c. ~c
discuss
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
Answer» B. true
discuss
74.

A statement or statement form of the pattern p ≡ q is called ----

A. biconditional
B. disjunction
C. double negation
D. none of these
Answer» A. biconditional
discuss
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
Answer» B. false
discuss
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
Answer» A. true
discuss
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
Answer» B. true
discuss
78.

‘Ramesh is honest and Dinesh is intelligent’ is a ------- proposition.

A. general
B. simple
C. compound
D. none of these
Answer» C. compound
discuss
79.

Which word is used to form the disjunction of two statements?

A. either or
B. and
C. if -- then
D. none of these
Answer» A. either or
discuss
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
Answer» B. true
discuss
81.

p. q . . p This rule of inference is known as -------

A. modus ponens
B. modus tollens
C. simplification
D. none of these
Answer» C. simplification
discuss
82.

The negation of a true statement is ---------

A. false
B. true
C. cannot be determined
D. none of these
Answer» A. false
discuss
83.

A valid argument with all true premises is termed as ------- argument

A. cogent
B. sound
C. cannot be determined
D. none of these
Answer» B. sound
discuss
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
Answer» B. invalidity
discuss
85.

‘Roses are red and Violets are blue’ is a ----------- statement

A. negation
B. conjunctive
C. implication
D. material
Answer» B. conjunctive
discuss
86.

A conjunction is true if both of its conjuncts are ----------

A. false
B. true
C. cannot be determined
D. none of these
Answer» B. true
discuss
87.

‘Shiv is tall and Ramu is short’ is a ------ statement

A. simple
B. compound
C. general
D. none of these
Answer» A. simple
discuss
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
Answer» B. r . ~ v
discuss
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
Answer» A. false
discuss
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
Answer» B. p v q
discuss
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
Answer» A. false
discuss
92.

Bi-conditional proposition is a ----- proposition

A. implication
B. disjunction
C. simple
D. compound
Answer» D. compound
discuss
93.

_________ symbol is used to connect statements conjunctively.

A. horseshoe
B. wedge
C. tilde
D. none of these
Answer» D. none of these
discuss
94.

Two statements are logically equivalent when their material equivalence is a -----

A. contradiction
B. contingent
C. conjunction
D. tautology
Answer» D. tautology
discuss
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
Answer» D. biconditional
discuss
96.

The statement form with only false substitution instances is called _________.

A. contradiction
B. contingent
C. conjunction
D. tautology
Answer» A. contradiction
discuss
97.

The statement form with only true substitution instances is called _________.

A. contradiction
B. contingent
C. conjunction
D. tautology
Answer» D. tautology
discuss
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
Answer» C. both p and q are false
discuss
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
Answer» B. a . g
discuss (1)
100.

‘If antecedent, then consequent’ is a general form of .______.

A. implication
B. disjunction
C. negation
D. argument
Answer» A. implication
discuss

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