Symbolic Logic Set 10 MCQs

Q1 | ‘ q if p ‘ is symbolized as……………………………….

‘q Ͻ p’

‘p ≡ q’

‘p v q’

’ p Ͻ q ‘

Q2 | “p only if q “ is symbolized as ……………………….

‘p ≡ q’

‘ p Ͻ q ‘

‘q Ͻ p’

‘p v q’

Q3 | ’ The conjunction of p with the disjunction of q with r’, is symbolized as …….

( p vq ) . r

( p . q ) v r

p . ( q v r )

p v ( q . r )

Q4 | ‘The disjunction whose first disjunct is the conjunction of p and q and whosesecond disjunct is r ‘ is symbolized as ………………………..

p v ( q . r )

( p vq ) . r

p . ( q v r )

( p . q ) v r

Q5 | The negaton of A V B is symbolized as ………………

A v B

( A V B )

A V B

Q6 | ‘ A and B will not both be selected ’ is symbolized as ………………………..

( A . B )

A v B

A V B

A . B

Q7 | Ramesh and Dinesh will both not be elected.

A V B

A . B

( A . B )

A v B

Q8 | An argument can be proved invalid by constructing another argument of thesame form with …………………….

false premises and false conclusion

true premises and false conclusion

true premises and true conclusion

false premises and true conclusion

Q9 | …………………………… can be defined as an array of symbols containing statement variables but no statements, such that when statements are substituted for statement variables- the same statement being substituted for the samestatement variable throughout – the result is an argument

specific statement form

A statement form

An argument form

An argument

Q10 | Any argument that results from the substitution of statements for statementvariables in an argument form is called ………………………………

invalid argument

valid argument

the specific form

a “ substitution instance” of that argument form

Q11 | In case an argument is produced by substituting a different simple statement foreach different statement variable in an argument form, that argument form is called ……………………

the “specific form” of that argument

a “ substitution instance” of that argument form

valid argument

invalid argument

Q12 | If the specific form of a given argument has any substitution instance whosepremises are true and whose conclusion is false, then the given argument is.

valid

invalid

valid or invalid

sound

Q13 | Refutation by logical analogy is based on the fact that any argument whosespecific form is an invalid argument form is ………………………..

sound

a contradiction

an invalid argument.

a valid argument

Q14 | ’statement form from which the statement results by substituting a differentsimple statement for each different statement variable’ is called ……………………..

the specific form of a given argument

tautology

contradiction

the specific form of a given statement

Q15 | A statement form that has only true substitution instances is called……………………

a “ tautologous statement form “ or a “ tautology”

a self-contradictory statement form or contradiction

A contingent statement form

specific statement form

Q16 | Statement forms that have both true and false statements among theirsubstitution instances are called ……………………………………………..

tautologous statement forms

contingent statement forms

self-contradictory statement forms

specific statement forms

Q17 | Two statements are ………………… when their material equivalence is a tautology

self-contradictory

contingent

logically equivalent

materially implying

Q18 | …………………. statements have the same meaning and may be substituted for oneanother

Materially equivalent

Logically equivalent

Tautologous

self-contradictory

Q19 | p v q) is logically equivalent to ………………………………..

p . q

p v q

Q20 | An argument form is valid if and only if it’s expression in the form of a conditionalstatement is ……………

a contradiction

a biconditional

a tautology

material implication

Q21 | “ If a statement is false, then it implies any statement whatever”

p Ͻ (P Ͻ q)

p Ͻ (p Ͻ q)

p Ͻ (q Ͻ p)