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JEE Main 20139 AprilOnline
Exam
JEE Main
Year
2013
Date
9 April
Mode
Online
Subject
Mathematics
Chapter
Mathematical Reasoning

JEE Main 2013 · 9 April · Online · Mathematics · Mathematical Reasoning

Statement-1: The statement A arrow(B arrow A) is equivalent to A...

Statement-1: The statement A→(B→A)A \rightarrow(B \rightarrow A) is equivalent to A→(A∨B)A \rightarrow(A \vee B). Statement-2: The statement ∼[(A∧B)→\sim[(\mathrm{A} \wedge \mathrm{B}) \rightarrow (∼A∨B)](\sim \mathrm{A} \vee \mathrm{B})] is a Tautology.Statement-1: The statement A arrow(B arrow A) is equivalent to A arrow(A B) . Statement-2: The statement [(A B) arrow (

Options

  1. AStatement- 1 is false; Statement- 2 is true.
  2. BStatement-1 is true; Statement-2 is true; Statement- 2 is not correct explanation for Statement-1.
  3. CStatement-1 is true; Statement- 2 is false.
  4. DStatement-1 is true; Statement-2 is true; Statement- 2 is the correct explanation for Statement-1.

Correct answer

C. Statement-1 is true; Statement- 2 is false.

Step-by-step solution

Statement-1: The statement A arrow(B arrow A) is equivalent to A arrow(A B) . Statement-2: The statement [(A B) arrow (
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