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.