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Mathematical Reasoning
medium
निम्न में से कौन सा कथन एक पुनरूक्ति है ?
A
$((\sim q) \wedge p) \wedge q$
B
$((\sim q ) \wedge p ) \wedge( p \wedge(\sim p ))$
C
$((\sim q ) \wedge p ) \vee( p \vee(\sim p ))$
D
$( p \wedge q ) \wedge(\sim( p \wedge q ))$
(JEE MAIN-2022)
Solution
(A) $(\sim q \wedge p) \wedge q=(\sim q \wedge q) \wedge p=f$
(B) $(\sim q \wedge p ) \wedge( p \wedge \sim p )=\sim q \wedge( p \wedge \sim p )= f$
(C) $(\sim q \wedge p ) \vee( p \vee \sim p )=(\sim q \wedge p ) \vee( t )= t$
(D) $( p \wedge q ) \wedge(\sim( p \wedge q ))= f$
Standard 11
Mathematics
