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Mathematical Reasoning
medium
Which of the following Boolean expression is a tautology ?
A
$(p \wedge q) \vee(p \vee q)$
B
$(p \wedge q) \vee(p \rightarrow q)$
C
$(p \wedge q) \wedge(p \rightarrow q)$
D
$( p \wedge q ) \rightarrow( p \rightarrow q )$
(JEE MAIN-2021)
Solution
| p | q | $p \wedge q$ | $p \rightarrow q$ | $( p \wedge q ) \rightarrow( p \rightarrow q )$ |
| $T$ | $T$ | $T$ | $T$ | $T$ |
| $T$ | $F$ | $F$ | $F$ | $T$ |
| $F$ | $T$ | $F$ | $T$ | $T$ |
| $F$ | $F$ | $F$ | $T$ | $T$ |
$( p \wedge q ) \rightarrow( p \rightarrow q )$ is tautology
Standard 11
Mathematics
