🛠️ JEE➗ Maths

Consider the following statements: P : I have fever Q : I will not take medicine \(R\) : I will take rest The statement …

Q1

Consider the following statements:
P : I have fever
Q : I will not take medicine
\(R\) : I will take rest
The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:

[JEE Main 2023, 30 Jan (Shift 2)]

a

\(((\sim P ) \vee \sim Q ) \wedge((\sim P ) \vee R )\)

b

\(((\sim P ) \vee \sim Q ) \wedge((\sim P ) \vee \sim R )\)

c

\(( P \vee Q ) \wedge((\sim P ) \vee R )\)

d

\(( P \vee \sim Q ) \wedge( P \vee \sim R )\)

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