Q.

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

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a

(p∧q)

b

(p∨q)∧~r

c

~(q∧r)p

d

~p∨(q∧r)

answer is D.

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Detailed Solution

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. ∴ ~p∨(q∧r) is true.
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If p : 4 is an even prime number, Q is 6 is a divisor of 12 and r : the HCF of 4 and 6 is Z, then which one of true following is true?