Deck 6: Logic and Truth

Question 1

_________ is not a truth-functional connective.

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

Answer 1

none of these

Question 2

Negation is indicated by _________ symbol.

A)tilde
B)dot
C)horseshoe
D)wedge

Answer 2

tilde

Question 3

The symbol _________ indicates material equivalence.

A)tilde
B)three bar
C)horseshoe
D)wedge

Answer 3

three bar

Question 4

If C is true, Z is false , then the truth value of the compound statement (C ?~ Z)

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

Question 5

'John will win the superbowl unless Andrews wins his Championship' is symbolised as ----

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

Question 6

Which one of the following is logically equivalent to 'p'

A)~ p
B)~ ~ p
C)cannot be determined
D)none of these

Question 7

If A is true, X is false , then the truth value of the compound statement (A . ~X)

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

Question 8

----- had introduced into logic the important notion of variable.

A)plato
B)socrates
C)aristotle
D)none of these

Question 9

'You will fail in the exam unless you study well' is symbolized as ---

A)f . s
B)f v s
C)f. ~s
D)none of these

Question 10

If A is true, X is false , then the truth value of the compound statement (A v ~X)

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

Question 11

The foundations of logic were laid by ------ in the fourth century B.C.

A)plato
B)socretes
C)aristotle
D)none of these

Question 12

If A and B are true, X and Y are false , then the truth value of the compound Statement [ (A ? B) .( Y. X)]

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

Question 13

A and B are true, X and Y are false , then the truth value of the compound Statement [ (A.X) . (B.Y)]

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

Question 14

The truth value of the negation of any false statement is -----

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

Question 15

'p v q' is false if p is ----- and q is --------

A)true - false
B)false - false
C)false - true
D)none of these

Question 16

'p ? q' is false if p is ----- and q is false

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

Question 17

'p . q' is false if p is ---- q is -----

A)true - false
B)false - false
C)false - true
D)all of these

Question 18

'p v q' is true if p is----- and q is ------

A)true - false
B)false - true
C)true - true
D)all of these

Question 19

'Railways will win the football cup unless Mohan Bagan wins the football championship'

A)r . b
B)r v b
C)b. r
D)none of these

Question 20

If B is true, Y is false , then the truth value of the compound statement (~Y v ~B)

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

Question 21

A and B are true, X and Y are false , then the truth value of the compound Statement [ (~A. ~X) . (B vY)]

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

Question 22

' p is a sufficient condition for q' is symbolised as ----

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

Question 23

If A is true, X is false , then the truth value of the compound statement (~A v ~X)

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

Question 24

The words Truth / Falsity refers to

A)arguments
B)terms
C)copula
D)none of these

Question 25

'p only if q' is symbolised as -----

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