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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

If p ,   q and r are 3 statements, then the truth value of ~ p ∨ q ∧ ~ r ⇒ p is

Options

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

Correct answer

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

Step-by-step solution

p q r ~ p ~ r ~ p ∨ q ~ p ∨ q ∧ ~ r ~ p ∨ q ∧ ~ r ⇒ p T F T F F F F T T F F F T F F T T T T F F T F T

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