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.