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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

If p , q , r are simple propositions, then the truth value of ∼ p ∨ q ∧ ∼ r ⇒ p is

Options

  1. ATrue if the truth values of p , q , r are T , F , T respectively
  2. BFalse if the truth values of p , q , r are T , F , T respectively
  3. CFalse if the truth values of p , q , r are T , F , F respectively
  4. DTrue if the truth values of p , q , r are F , T , F respectively

Correct answer

A. True if the truth values of p , q , r are T , F , T respectively

Step-by-step solution

~ T ∨ F ∧ ~ T ⇒ T F ∨ F ∧ F ⇒ T F ∨ F → T F → T which is T

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