Q40 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

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

  • Correct answer
    A
    T, T
  • B
    F, F
  • C
    T, F
  • D
    F, T

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)

Hence, the correct answer is option: 'A'.

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