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JEE Main2018MathematicsMathematical ReasoningActual

If p → ~ p ∨ ~ q is false, then the truth values of p and q are, respectively

Options

  1. AF ,   F
  2. BT ,   T
  3. CF ,   T
  4. DT ,   F

Correct answer

B. T ,   T

Step-by-step solution

p → q has truth value false only when p is true & q is false. Hence, truth value of   p is true. Now, ~ p ∨ ~ q is false only when ~ p & ~ q   both are false. Hence, p and q are both true.

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