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JEE Main20238 Apr 2023Morning ShiftMathematicsMathematical ReasoningActual

Negation of p → q → q → p is

Options

  1. Ap ~ ∨ p
  2. Bq ∧ ( ~ p )
  3. C~ q ∧ p
  4. Dp ∨ ~ q

Correct answer

B. q ∧ ( ~ p )

Step-by-step solution

We know that, A → B ≡ ~ A ∨ B Now using the above formula we will solve, ( p → q ) → ( q → p ) ≡ ~ ~ p ∨ q ∨ ~ q ∨ p ≡ p ∧ ~ q ∨ ~ q ∨ p ≡ ~ q ∨ p Now finding the negation of p ∨ ~ q we get, ~ p ∨ ~ q ≡ ~ p ∧ q

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