If the truth value of the Boolean expression ((p q) (q → r) (r)) → (p q) is false, then the truth values of the statements p, q, r respectively can be:

Mathematical Reasoning: JEE Main 2021 Mathematics question

JEE Main 2021 · 26 Aug, Morning shift · Q4352

JEE Main 202126 Aug, Morning shiftMathematicsHardMathematical Reasoning115× since 2008

If the truth value of the Boolean expression

\left( {\left( {p \vee q} \right) \wedge \left( {q \to r} \right) \wedge \left( { \sim r} \right)} \right) \to \left( {p \wedge q} \right)

is false, then the truth values of the statements p, q, r respectively can be :

JEE Main 2021 Mathematical Reasoning Question with Solution (26 Aug Morning shift, Q4352) | JEE Arc

JEE Main 2021 · 26 Aug, Morning shift · Q4352

JEE Main 202126 Aug, Morning shiftMathematicsHardMathematical Reasoning115× since 2008

If the truth value of the Boolean expression

\left( {\left( {p \vee q} \right) \wedge \left( {q \to r} \right) \wedge \left( { \sim r} \right)} \right) \to \left( {p \wedge q} \right)

is false, then the truth values of the statements p, q, r respectively can be :