1. Tardigrade
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  3. Mathematics
  4. Which of the following statement is a tautology?

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Q. Which of the following statement is a tautology?

JEE MainJEE Main 2022Mathematical Reasoning

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) $( p \wedge q ) \wedge(\sim( p \wedge q ))= f$