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Question

Let p and q be any two logical statements and r be the statement p(pq). If r has the truth value F, then the truth values of p and q are, respectively

A
F, F
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B
T, T
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C
F, T
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D
T, F
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Solution

The correct option is D T, F
pqppqrTTFTTFFTTTTFFFFFTTTT

Clearly, from the above table, if r has the truth value F, then the truth values of p and q are T and F respectively.

Alternatively, ab is false only when the truth value of a and b are T and F respectively.
Given, p(pq) is false.
p is true and pq is false.
p is true and q is false.

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