Deck 4: Propositions, Truth Values, and Logical Connections

Question 1

In implication if p is true and q is true, p ? q is -------

A)true
B)false
C)cannot be determined
D)none of these

Answer 1

true

Question 2

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 2

true

Question 3

'Ramesh is honest and Dinesh is intelligent' is a ------- proposition.

A)general
B)simple
C)compound
D)none of these

Answer 3

compound

Question 4

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

A)either or
B)and
C)if -- then
D)none of these

Question 5

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

Question 6

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

A)modus ponens
B)modus tollens
C)simplification
D)none of these

Question 7

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

A)false
B)true
C)cannot be determined
D)none of these

Question 8

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

A)cogent
B)sound
C)cannot be determined
D)none of these

Question 9

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

Question 10

'Roses are red and Violets are blue' is a ----------- statement

A)negation
B)conjunctive
C)implication
D)material

Question 11

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

A)false
B)true
C)cannot be determined
D)none of these

Question 12

'Shiv is tall and Ramu is short' is a ------ statement

A)simple
B)compound
C)general
D)none of these

Question 13

'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

Question 14

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

Question 15

'Either P or Q will be selected' is symbolized as

A)p.q
B)p v q
C)p ? q
D)none of these

Question 16

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

Question 17

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

A)implication
B)disjunction
C)simple
D)compound

Question 18

_________ symbol is used to connect statements conjunctively.

A)horseshoe
B)wedge
C)tilde
D)none of these

Question 19

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

A)contradiction
B)contingent
C)conjunction
D)tautology

Question 20

'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

Question 21

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

A)contradiction
B)contingent
C)conjunction
D)tautology

Question 22

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

A)contradiction
B)contingent
C)conjunction
D)tautology

Question 23

'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

Question 24

'Arjun is honest but Ganesh is sincere' is symbolized as----

A)a v g
B)a . g
C)a ?~ g
D)none of these

Question 25

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

A)implication
B)disjunction
C)negation
D)argument