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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

For two statements p and q , the logical statement p ⇒ q ∧ q ⇒ ~ p is equivalent to

Options

  1. Ap
  2. Bq
  3. C~ p
  4. D~ q

Correct answer

C. ~ p

Step-by-step solution

p q p → q ~ p q → ~ p p → q ∧ q → ~ p T T T F F F T F F F T F F T T T T T F F T T T T Clearly, p → q ∧ q → ~ p is equivalent to ~ p

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