Verified Solution • 2025–26 Session moderate

QJEEM20Ma8f9e: JEE Main 2020 Mathematics - Class 11 JEEM20Ma8f9e Solution: Consider the statement : ‘‘For an integer n, if n 3 – 1 is…

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

Multiple Choice Options

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

Step-by-Step Verified Solution

Let, 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.

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