Mathematical Logic And Boolean Algebra Question 14
Question: Which of the following is the inverse of the proposition: ?If a number is a prime then it is odd.?
[Karnataka CET 2004]
Options:
A) If a number is not a prime then it is odd
B) If a number is not a prime then it is odd
C) If a number is not odd then it is not a prime
D) If a number is not odd then it is a prime
Show Answer
Answer:
Correct Answer: B
Solution:
p : A number is a prime. Q : It is odd. We have p Þ q The inverse of p Þ q is $ \tilde{\ }p\Rightarrow ,\tilde{\ }q $ i.e., If a number is not a prime then it is not odd.