Mathematical Logic And Boolean Algebra Question 27

Question: If $ (p\wedge \tilde{\ }r)\wedge (\tilde{\ }p/q) $ is false, then the truth values of p, q and r, respectively

Options:

A) T, F and F

B) F. F and T

C) F, T and T

D) T. F and T

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Since, $ (p\wedge \sim r)\Rightarrow (\sim p\vee q) $ is F Then, $ p=T,q=F,r=F $