Mathematical Logic And Boolean Algebra Question 14
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 even
B) If a number is not a prime then it is not necessarily odd
C) If a number is not odd then it may still be a prime
D) If a number is not odd then it is not necessarily a prime
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Answer:
Correct Answer: B
Solution:
p : A number is 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.
BETA
