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Mathematical Reasoning
hard
$((\sim p) \wedge q) \Rightarrow r$નું પ્રતીપ $..........$ છે.
A
$(\sim r ) \Rightarrow p \wedge q$
B
$(\sim r ) \Rightarrow((\sim p ) \wedge q )$
C
$((\sim p) \vee q) \Rightarrow r$
D
$( p \vee(\sim q )) \Rightarrow(\sim r )$
(JEE MAIN-2023)
Solution
Converse of $((\sim p) \wedge q) \Rightarrow r$
$\equiv r \Rightarrow(\sim p \wedge q )$
$\equiv \sim r \vee(\sim p \wedge q )$
$\equiv \sim r \vee( p \vee \sim q ) \equiv( p \vee \sim q ) \Rightarrow \sim r$
Standard 11
Mathematics
