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Q.

lf p, q and r are simple propositions with truth values T, F and T, respectively, then the truth value of (~p∨q)∧~r→p is

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a

True

b

False

c

True if r is false

d

True if q is true

answer is A.

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Detailed Solution

(~p∨q)∧~r→p          ≡(F∨F)∧F→T          ≡F→T          ≡T
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lf p, q and r are simple propositions with truth values T, F and T, respectively, then the truth value of (~p∨q)∧~r→p is