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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

The logically equivalent proposition of p ⇔ q is

The logically equivalent proposition of p⇔qp ⇔ q is

Options

  1. A(p∧q)∨(p∧q)\left(p ∧ q\right) ∨ \left(p ∧ q\right)
  2. B(p⇒q)∧(q⇒p)\left(p ⇒ q\right) ∧ \left(q ⇒ p\right)
  3. C(p∧q)∨(q⇒p)\left(p ∧ q\right) ∨ \left(q ⇒ p\right)
  4. D(p∧q)⇒(q∨p)\left(p ∧ q\right) ⇒ \left(q ∨ p\right)

Correct answer

B. (p⇒q)∧(q⇒p)\left(p ⇒ q\right) ∧ \left(q ⇒ p\right)

Step-by-step solution

(p⇒q)\left(p ⇒ q\right)∧ \left(q ⇒ p\right)meansmeansp ⇔ q.<br/><br/>Hencethelogicallyequivalentpropositionof.<br /><br />Hence the logically equivalent proposition ofp ⇔ qis(p⇒q)∧is \left(p ⇒ q\right) ∧\left(q ⇒ p\right)
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