Mathematical Logic And Boolean Algebra Question 84

Question: Consider the two statements p: He is intelligent and Q: he is strong. Then the symbolic form of the statement ?it is not true that he is either intelligent or strong?? is

Options:

A) $ \tilde{\ }P\vee Q $

B) $ \tilde{\ }P\wedge \tilde{\ }Q $

C) $ \tilde{\ }P\wedge Q $

D) $ \tilde{\ }(P\vee Q) $

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Answer:

Correct Answer: D

Solution:

[d] Given: P: He is intelligent. Q = He is strong. Symbolic form of ?It is not true that he is either intelligent or strong?? is $ \tilde{\ }(P\vee Q) $