Mathematical Logic And Boolean Algebra Question 87
Question: The statement ‘If $ 2^{2}=5 $ then I get first class’? is logically equivalent to
Options:
A) $ 2^{2}=5 $ and I do not get first class
B) $ 2^{2}=5 $ or I do not get first class
C) $ 2^{2}\ne 5 $ or I get first class
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
[c] Let p and q be two proposition given by $ p:2^{2}=5,q:1 $ get first class Here given statement is $ p\to q $ So contrapositive of $ p\to q $ is $ \tilde{\ }q\to \tilde{\ }p $ i.e. if I do not get first class then $ 2^{2}\ne 5. $
BETA
