JEE Main · 2020 · 06 Sep 2020 · Shift 2 · Mathematical Reasoning *

WhatsApp Email
Consider the statement: "For an integer , if is even, then is odd." The contrapositive statement of this statement is:
  1. (A)For an integer , if is even, then is odd.✓ Correct
  2. (B)For an integer , if is not even then is not odd.
  3. (C)For an integer , if is even, then is even.
  4. (D)For an integer , if is odd, then is even.

Answer: (A)

Solution

Let be `` is even'' and be `` is odd'', so the statement is . Its contrapositive is , that is, if is not odd then is not even. Put plainly, for an integer , if is even then is odd.

JEE Main · 2020 · 06 Sep 2020 · Shift 2 · Single correct option

More JEE Main questions on Mathematical Reasoning *

  1. Among the statements
    (S1): is a tautology
    (S2): is a contradiction
    JEE Main 2023View solution →
  2. Negation of is
    JEE Main 2023View solution →
  3. Statement is logically equivalent to
    JEE Main 2023View solution →
  4. The negation of is equivalent to
    JEE Main 2023View solution →
  5. The statement is equivalent to
    JEE Main 2023View solution →
  6. The negation of the statement is
    JEE Main 2023View solution →