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 fallacy?
Which of the following statements is not a fallacy?
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
Option Apis true and \left( p ⇒ q\right) is false which is never possible hence \left(A\right) is a fallacy
\left(B\right)\left(p ∧ q\right) is a subset of hence \left(p ∧ q\right)⇒pis a tautology hence \left(\left(p ∧ q\right)⇒ p\right)is a fallacy
\left(C\right) pis subsetp ⇒ \left(p ∨ q\right)is tautology hence \left(p ⇒\left(p ∨ q\right)\right)is a fallacy
\left(D\right) Option \left(D\right) isnegation of option \left(A\right) hence \left(D\right) is a tautology
\left(B\right)\left(p ∧ q\right) is a subset of hence \left(p ∧ q\right)⇒pis a tautology hence \left(\left(p ∧ q\right)⇒ p\right)is a fallacy
\left(C\right) pis subsetp ⇒ \left(p ∨ q\right)is tautology hence \left(p ⇒\left(p ∨ q\right)\right)is a fallacy
\left(D\right) Option \left(D\right) isnegation of option \left(A\right) hence \left(D\right) is a tautology