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NTA Abhyas 2020

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

NTA Abhyas 2020 · Mathematics · Mathematical Reasoning

The converse of p ⇒ (q ⇒ r) is

The converse of

p ⇒ \left(q ⇒ r\right) is

Options

A $\left(q ∧ ~ r\right) ∨ p$
B $\left(~ q ∨ r\right) ∨ p$
C $\left(q ∧ ~ r\right) ∧ ~ p$
D $\left(q ∧ ~ r\right) ∧ p$

Correct answer

A. $\left(q ∧ ~ r\right) ∨ p$

Step-by-step solution

Converse of

p ⇒ \left(q ⇒ r\right) is<br />\left(q ⇒ r\right)⇒ p ≡ \left( q ∨ r\right)⇒ p

≡ \left( q ∨ r\right)∨ p

≡ \left(q ∧ r\right)∨ p

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