Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyLogical reasoning

The statement
(p⇒q)⇔(∼p∧q)(p \Rightarrow q) \Leftrightarrow ( \sim p \land q) is equivalent

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By truth table
-----------------------------------------------------------
P q ∼p p⇒qp \Rightarrow q ∼p∧q\sim p \land q (p⇒q)⇔(∼p∧q)(p \Rightarrow q) \Leftrightarrow ( \sim p \land q)
-- -- --- ----------- ---------- -----------------------------
T T F T F F
T F F F F T
F T T T T T
F F T T F F
-----------------------------------------------------------
Hence, given statement is neither a tautology nor a fallacy

Source: Grass-G / M-23 Mathematics Paper 31 Dec FST.docx

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