Mathematical Logic And Boolean Algebra Question 3
Question: If $ p\Rightarrow (q\vee r) $ is false, then the truth values of p, q, r are respectively
[Karnataka CET 2000]
Options:
A) T, F, F
B) F, F, F
C) F, T, T
D) T, T, F
Show Answer
Answer:
Correct Answer: A
Solution:
$ p\Rightarrow q $ is false only when p is true and q is false. \ $ p\Rightarrow q $ is false when p is true and $ q\vee r $ is false, and $ q\vee r $ is false when both q and r are false. Hence truth values of p, q and r are respectively T, F, F.
BETA
