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Question 420003
JEE Mathematics · Medium

Mathematical Reasoning: Converse and contrapositive MCQ

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Converse and contrapositiveMediumQuestion 420003

Question

The contrapositive of 'If p then q' (p → q) is:
  1. A
    ¬q → ¬p
    Correct
  2. B
    q → p
  3. C
    ¬p → ¬q
  4. D
    p → ¬q

Correct answer

¬q → ¬p

Explanation

For p → q: Converse: q → p. Inverse: ¬p → ¬q. Contrapositive: ¬q → ¬p. The contrapositive is logically equivalent to the original statement.

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