Q44 / 75 · JEE Main 2020 (06 Sep Shift 2) · Mathematics

Consider the statement: "For an integer n, if n3-1 is even, then n is odd". The contrapositive statement of this statement is:

  • Correct answer
    A
    For an integer n, if n is even, then n3-1 is odd.
  • B
    For an integer n, if n3-1 is not even, then n is not odd.
  • C
    For an integer n, if n is even, then n3-1 is even.
  • D
    For an integer n, if n is odd, then n3-1 is even.

Solution

P:n3-1  is even, q:n is odd

contrapositive of  p→q=~q→~p

⇒ "if n is not odd then n3-1  is not even"

⇒For an integer n if n is even, then n3-1 is odd.

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

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