MCQ
Choose the correct answer: The statement "If $x^2$ is not even, then x is not even" is converse of the statement.
  • A
    If $x^2$ is odd, then $x$ is even.
  • If $x$ is not even, then $x^2$ is not even.
  • C
    If $x$ is even, then $x^2$ is even.
  • D
    If $x$ is odd, then $x^2$ is even.

Answer

Correct option: B.
If $x$ is not even, then $x^2$ is not even.
  1. If $x$ is not even, then $x^2$ is not even.
Solution:
Let $p: x^2$ is not even.
$q: x$ is not even. So, the converse of the statement $p \rightarrow q$ is $q \rightarrow p$
i.e., If $x$ is not even, then $x^2$ is not even.

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