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.