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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

If p ,   q and r are three logical statements, then the truth value of the statement p ∧ q ∨ ∼ q → r , where p is true, is

Options

  1. ATrue if q is false
  2. BFalse if q is false
  3. CTrue if q is true
  4. DFalse if q is true

Correct answer

C. True if q is true

Step-by-step solution

Clearly, if q is true, p is true then p ∧ q is true Hence, p ∧ q ∨ ~ q → r is true irrespective of r

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