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CTET PAPER II 2021 · PYQ · Mathematical Logic / Conditional Statements · medium

Consider the following statements: A = If n is even, then n² is even. B = If n² is not even, n is not even. C = If n² is even, then n is even. D = If n is not even, then n² is not even. Which of the following statements is true?

  1. A.C is converse of A.✓ Correct
  2. B.D is converse of A.
  3. C.B is inverse of A.
  4. D.D is contraposition of A.

Explanation

For statement A: 'If p, then q', where p = 'n is even' and q = 'n² is even'. Converse of A is 'If q, then p': 'If n² is even, then n is even' = C. Inverse of A is 'If not p, then not q': 'If n is not even, then n² is not even' = D. Contrapositive of A is 'If not q, then not p': 'If n² is not even, then n is not even' = B. So C is converse of A is the correct match.
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