Mathematical Reasoning: The Boolean expression (pwedge q)Rightarrow((rwedge q)wedge p) is… | JEE Main 2021

JEE Main 2021 (Online) 27th August Evening ShiftQuestion 1

The Boolean expression $(p\wedge q)\Rightarrow((r\wedge q)\wedge p)$ is equivalent to :

Mathematical Reasoning

$(q\wedge r)\Rightarrow(p\wedge q)$$(p\wedge q)\Rightarrow(r\wedge q)$✓ Correct answer$(p\wedge q)\Rightarrow(r\vee q)$$(p\wedge r)\Rightarrow(p\wedge q)$

Solution

$(p\wedge q)\Rightarrow(p\wedge q\wedge r)\equiv\sim(p\wedge q)\vee r\equiv(p\wedge q)\Rightarrow r\equiv(p\wedge q)\Rightarrow(r\wedge q)$.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2021 (Online) 27th August Evening Shift)

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