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JEE Main201912 Apr 2019Morning ShiftMathematicsMathematical ReasoningActual

If the truth value of the statement p → ~ q ∨ r is false F , then the truth values of the statements p , q , r are respectively

Options

  1. AT , F , T
  2. BT , F , F
  3. CT , T , F
  4. DF , T , T

Correct answer

C. T , T , F

Step-by-step solution

Recall, p → q is false if and only if p is true and q is false Alternatively, Truth table of statement p → ~ q ∨ r p q r ~ q ~ q ∨ r p → ~ q ∨ r T T T F T T T T F F F F T F T T T T T F F T T T F T T F T T F T F F F T F F T T T T F F F T T T So, the truth values are p : true, q : true, r : false

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