Mathematical Logic And Boolean Algebra Question 51
Question: If each of the following statements is true, then $ P\Rightarrow \tilde{\ }q,q\Rightarrow r,\tilde{\ }r $
Options:
A) p is false
B) p is true
C) q is true
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Since $ \sim r $ is true, therefore, r is false. Also $ q\Rightarrow r $ is true, therefore, q is false. ( $ \therefore $ A true statement cannot imply a false one) Also $ p\Rightarrow q $ is true, therefore, p must be false.