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JEE Main 201322 AprilOnline
Exam
JEE Main
Year
2013
Date
22 April
Mode
Online
Subject
Mathematics
Chapter
Mathematical Reasoning

JEE Main 2013 · 22 April · Online · Mathematics · Mathematical Reasoning

The statement p arrow(q arrow p) is equivalent to :

The statement p→(q→p)p \rightarrow(q \rightarrow p) is equivalent to :The statement p arrow(q arrow p) is equivalent to :

Options

  1. Ap→qp \rightarrow q
  2. Bp→(p∨q)p \rightarrow(p \vee q)
  3. Cp→(p→q)p \rightarrow(p \rightarrow q)
  4. Dp→(p∧q)p \rightarrow(p \wedge q)

Correct answer

B. p→(p∨q)p \rightarrow(p \vee q)

Step-by-step solution

The statement p arrow(q arrow p) is equivalent to :
Since truth value of p→(q→p)p \rightarrow(q \rightarrow p) and p→(p∨q)p \rightarrow(p \vee q) are same, hence p→(q→p)p \rightarrow(q \rightarrow p) is equivalent to p→(p∨q)p \rightarrow(p \vee q).
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