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

Correct answer

C. True if q is false

Step-by-step solution

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

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