Question

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?

• A. $\sim p\vee (q\wedge r)$
• B. $p\wedge q$
• C. $(p\vee q)\wedge \sim r$
• D. $p\iff (q\wedge r)$

Answer 1

The correct option is A

$\sim p\vee (q\wedge r)$

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 $\sim p\vee (q\wedge r)$ is true.