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Question

Consider the following three statements:
p:4 and 7 are coprimes.
q: Every function on a set A is a relation on A.
r:6 divides 3.
Then the truth value of which of the following Boolean expressions is false?

A
p(qr)
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B
p(q r)
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C
p(q r)
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D
(p q)r
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Solution

The correct option is C p(q r)
p is true, q is true and r is false.

p(qr)=T(TF)=TT=T

p(q r)=F(FT)=FT=T

p(q r)=F(TT)=FT=F

(p q)r=(TF)F=TF=T

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