JEE Main · MathematicsEasy
Which of the following is the inverse of the statement: If is a prime number, then is odd?
- A.If is not a prime number, then is not odd
- B.If is odd, then is a prime number
- C.If is not odd, then is not a prime number
- D.If is a prime number, then is not odd
Show correct answer & step-by-step solution
Correct answer: A — If is not a prime number, then is not odd
Solution
- Let be 'x is a prime number' and be 'x is odd'.
- The original statement is .
- The inverse is defined as .
- This translates to 'If x is not a prime number, then x is not odd'.
- Hence the answer is (A).
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