# Competitive Exams: Philosphy MCQs (Practice_Test 26 of 90)

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Which one of the following is deduced from (~pq) [ (r. s) -p]. r

~ q

~ q-r

~ s

r-s

Following is a normal proof of validity:

p- (q. r)

(p-r) (q-s)./-~ r-s

(p-r) (q-r).

p-q

r-s

~ r-s

Which of the following sequence of rules has been used to derice the conclusion from lines 3 − 5?

Importation, Simplification, Constructive Dilemma, Definition of Implication

Distribution, Addition, Constructive Dilemma, Disjunctive Syllogism

Importation, Simplification, Hypothetical Syllogism, Disjunctive Syllogism

Distribution, Simplification

Constructive Dilemma, Definition of

Implication

Which one of the following statements follows from the proposition ‘Logic is difficult’

Assuming either that logic is difficult or that the text is not readable, Alfred will pass only if he concentrates

Logic is difficult if and only if it is not difficult

Unless logic is difficult, Alfred will pass if he concentrates

Logic is difficult just in case Alfred will pass if he concentrates