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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Mathematics
Chapter
Mathematical Reasoning

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

If p, q, r are simple propositions, then the truth value of (∼ p ∨...

If p,q,rp, q, r are simple propositions, then the truth value of \left(∼ p ∨ q\right) ∧ ∼ r ⇒ p$ is

Options

  1. ATrue if the truth values of p,q,rp, q, r are T,F,TT, F, T respectively
  2. BFalse if the truth values of p,q,rp, q, r are T,F,TT, F, T respectively
  3. CFalse if the truth values of p,q,rp, q, r are T,F,FT, F, F respectively
  4. DTrue if the truth values of p,q,rp, q, r are F,T,FF, T, F respectively

Correct answer

A. True if the truth values of p,q,rp, q, r are T,F,TT, F, T respectively

Step-by-step solution

( T∨F)∧ T⇒T\left(~ T ∨ F\right) ∧ ~ T ⇒ T
\left(F ∨ F\right) ∧ F ⇒ T<br/><br />F ∨ F \to T<br/><br />F \to Twhichiswhich isT
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