COMEDK · Maths · 17. Mathematical Reasoning
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 odd, then it is a prime
Answer & Solution
Correct Answer
(B) If a number is not a prime, then it is not odd
Step-by-step Solution
Detailed explanation
Let \(p\) : A number is a prime. \(q:\) A number is odd. The given proposition is \(p \rightarrow q\) Now, inverse of \((p \rightarrow q)\) is \(\sim p \rightarrow \sim q\) Therefore, the inverse of the given proposition is 'If a number is not a prime, then it is not odd.'
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