KCET · Maths · Determinants
The contrapositive statement of the statement "If \( x \) is prime number, then \( x \) is odd" is
- A If \( x \) is not a prime number, then \( x \) is not odd
- B If \( x \) is a prime number, then \( x \) is not odd
- C If \( x \) is not a prime number, then \( x \) is odd
- D If \( x \) is not odd, then \( x \) is not a prime number.
Answer & Solution
Correct Answer
(D) If \( x \) is not odd, then \( x \) is not a prime number.
Step-by-step Solution
Detailed explanation
Given that, if \( \mathrm{x} \) is prime number, then \( \mathrm{x} \) is odd. The contrapositive statement of this statement is:
If \( \mathrm{x} \) is not odd then \( \mathrm{x} \) is not prime.
If \( \mathrm{x} \) is not odd then \( \mathrm{x} \) is not prime.
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