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Q.

lf p→(q∨r) is false, then the truth values of p, q and r are, respectively,

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a

T, T, F

b

F, F, F

c

F, T, T

d

T, F, F

answer is D.

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Detailed Solution

p→q is false only when p is true and q is false.Therefore, p→(q∨r) is false when p is true and q∨r is false.q∨r is false only when both q and r are false.Hence, truth values of p, q and r are, respectively, T, F and F.
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lf p→(q∨r) is false, then the truth values of p, q and r are, respectively,