NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Mathematics
- Chapter
- Mathematical Reasoning
NTA Abhyas 2020 · Mathematics · Mathematical Reasoning
Which of the following statements is not a tautology?
Which of the following statements is not a tautology?
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
is subset of , so \left(p ∧ q ∧ r\right). Hence,& \left(p ∧ q ∧ r\right) ⇒ is a tautology.
Similarly, \left(p ∧ q ∧ r\right) ⇒ is a tautology because \left(p ∧ q ∧ r\right)is a subset of \left(\left( p ∧ q\right) ∨ r\right)<br />Similarly, \left( p ∧ q ∧ r\right). Hence,& \left(p ∧ q ∧ r\right)⇒ \left( p ∨ q ∨ r\right) is a tautology
\left(p ∧ q ∧ r\right) ⇒ rpqr is not a tautology
Similarly, \left(p ∧ q ∧ r\right) ⇒ is a tautology because \left(p ∧ q ∧ r\right)is a subset of \left(\left( p ∧ q\right) ∨ r\right)<br />Similarly, \left( p ∧ q ∧ r\right). Hence,& \left(p ∧ q ∧ r\right)⇒ \left( p ∨ q ∨ r\right) is a tautology
\left(p ∧ q ∧ r\right) ⇒ rpqr is not a tautology