Mathematical Reasoning
medium

નીચેના પૈકી ક્યુ વિધાન નિત્યસત્ય છે?

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

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.