Q72 / 180 · KCET 2017 · Mathematics

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
  • Correct answer
    D
    If \( x \) is not odd, then \( x \) is not a prime number.

Solution

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.

Hence, the correct answer is option: 'D'.

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