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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

What are the truth values of ∼ p ⇒ ∼ q and ∼ p ⇒ q respectively, when p and q always speak the truth in any argument?

Options

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

Correct answer

A. T , T

Step-by-step solution

Since, truth value of p is T and truth value of q is also T So, ~ p is always false, therefore ∼ p ⇒ ∼ q and ∼ p ⇒ q are always true (since, p ⇒ q is false only when p is true and q is false )

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