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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Consider three statements p : Aman will come today q : Aditi will be at her home r : They will go to party. Then, the statement q ∧ ∼ r ⇒ p is logically equivalent to

Options

  1. AIf Aman will not come today then they will go to party.
  2. BIf Aman will not come today then they will not go to party.
  3. CAman will come today or Aditi will not be at her home or they will got to party.
  4. DAman will come today or Aditi will go to party.

Correct answer

C. Aman will come today or Aditi will not be at her home or they will got to party.

Step-by-step solution

q ∧ ∼ r ⇒ p ≡ ∼ q ∧ ∼ r ∨ p ≡ ∼ q ∨ r ∨ p ≡ p ∨ ∼ q ∨ r

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