Three statements p,q,r are given below

p: 4 is an even prime number
q: 6 is a divisor of 12
r: the HCF of 4 and 6 is 12

Which of the following are true?

$\sim p \lor (q \land r)$

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$p \land q$

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$(p \lor q) \land \sim r$

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$p \Leftrightarrow (q \land r)$

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Solution

The correct option is A
$\sim p \lor (q \land r)$

p: 4 is an even prime number - False
q: 6 is a divisor of 12 - True
r: the HCF of 4 and 6 is 12 - True

It can be seen that the statement $\sim p \lor (q \land r)$ is true.

Suggest Corrections

Similar questions

P = {2, 4, 6, 8, 10, 12}, Q = {4, 6, 8}

R = {4, 6}

\sim p \to (q \lor r)

(p \lor q) \land r

The dual of statement $p \lor (q \land r) \equiv (p \lor q) \land (p \lor r)$ is

p : 4

7

q :

A

A

r : 6

3

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