Mathematical Logic And Boolean Algebra Question 57

Question: If p: 4 is an even prime number, q: 6 is a divisor of 12 and r: the HCF of 4 and 6 is 2, then which one of the following is true?

Options:

A) $ (p\wedge q) $

B) $ (p\vee q)\wedge \tilde{\ }r $

C) $ \tilde{\ }(q\wedge r)p $

D) $ \tilde{\ }p\vee (q\wedge r) $

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Answer:

Correct Answer: D

Solution:

[d] Given that p: 4 is an even prime number. q: 6 is a divisor of 12. and r: the HCF of 4 and 6 is 2.
$ \therefore \tilde{\ }p\vee (q\wedge r) $ is true.