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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

The contrapositive of ( p ∨ q ) ⇒ r is

The contrapositive of (p∨q)⇒r( p ∨ q ) ⇒ r is

Options

  1. Ar⇒(p∨q)r ⇒ ( p ∨ q )
  2. Br⇒(p∨q)r ⇒ ( p ∨ q )
  3. Cr⇒p∧qr ⇒ p ∧ q
  4. Dp⇒(q∨r)p ⇒ ( q ∨ r )

Correct answer

C. r⇒p∧qr ⇒ p ∧ q

Step-by-step solution

Contrapositive of p⇒qp ⇒ q is q⇒pq ⇒ p
∴contrapositive of (p∨q)⇒r( p ∨ q ) ⇒ r is r⇒(p∨q)r ⇒ ( p ∨ q ) i.e. r⇒(p∧q)r ⇒ ( p ∧ q ).
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