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Joint Entrance Examination
Mathematics
Mathematical Reasoning
Question 12
Question 12 of 103
Medium
MCQ
The negation of \[ \sim s \vee \left( { \sim r \wedge s} \right)\] is equivalent to :
A
\[s \vee \left( {r \vee \sim s} \right)\]
B
\[s \wedge r\]
C
\[s \wedge \sim r\]
D
\[s \wedge \left( {r \wedge \sim s} \right)\]
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Official solution
From the table you can see (s \[\wedge\] r) and negation of ~s \[\vee\] (~r \[\wedge\] s) have same truth value. So they are equivalent.
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