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Mathematical Reasoning
easy
Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
A
If a number is not a prime then it is odd
B
If a number is not a prime then it is not 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
Solution
(b)$p : A$ number is a prime.
$Q$ : It is odd.
We have $p ==> q$
The inverse of $p ==> q$ is $\sim p \Rightarrow \,\sim q$
i.e., If a number is not a prime then it is not odd.
Standard 11
Mathematics