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JEE Main20206 Sep 2020Evening ShiftMathematicsMathematical ReasoningActual

Consider the statement: "For an integer n , if n 3 - 1 is even, then n is odd". The contrapositive statement of this statement is:

Options

  1. AFor an integer n , if n is even, then n 3 - 1 is odd.
  2. BFor an integer n , if n 3 - 1 is not even, then n is not odd.
  3. CFor an integer n , if n is even, then n 3 - 1 is even.
  4. DFor an integer n , if n is odd, then n 3 - 1 is even.

Correct answer

A. For an integer n , if n is even, then n 3 - 1 is odd.

Step-by-step solution

P : n 3 - 1   is even, q : n is odd contrapositive of p → q = ~ q → ~ p ⇒ "if n is not odd then n 3 - 1   is not even" ⇒ For an integer n if n is even, then n 3 - 1 is odd.

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