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Joint Entrance Examination
Mathematics
Mathematical Reasoning
Question 52
Question 52 of 103
Medium
MCQ
The negation of the statement \[ \sim p \wedge (p \vee q)\] is :
A
\[p \vee \sim q\]
B
\[ \sim p \vee q\]
C
\[ \sim p \wedge q\]
D
\[p \wedge \sim q\]
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Official solution
\[ \therefore \] \[ \sim \] p \[ \wedge \] (p \[ \vee \] q) \[ \equiv \] p \[ \vee \] \[ \sim \] q
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