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The negation of the statement \((p \vee q) \wedge(q \vee(\sim r))\) is [JEE Main 2023, 10 Apr (Shift 1)]

Q1

The negation of the statement \((p \vee q) \wedge(q \vee(\sim r))\) is

[JEE Main 2023, 10 Apr (Shift 1)]

a

\(((\sim p) \vee r) \wedge(\sim q)\)

b

\(((\sim p) \vee(\sim q)) \wedge(\sim r)\)

c

\(((\sim p) \vee(\sim q)) \vee(\sim r)\)

d

\((p \vee r) \wedge(\sim q)\)

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