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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

Consider three statements p : Suyash will come today evening q : Shalini will be at his home r : They will go to party. Then the statement ~ q ∧ ~ r ⇒ p is logically equivalent to

Options

  1. AIf Suyash will not come today then Shalini will go to party.
  2. BIf Suyash will not come today then Shalini will not go to party.
  3. CSuyash will come today or Shalini will be at his home or they will go to party.
  4. DSuyash will come today or Shalini will go to party.

Correct answer

C. Suyash will come today or Shalini will be at his home or they will go to party.

Step-by-step solution

~ q ∧ ~ r ⇒ p ≡ ~ ~ q ∧ ~ r ∨ p ≡ q ∨ r ∨ p ≡ p ∨ q ∨ r

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