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Mathematical Reasoning
hard
कथन $\mathrm{B} \Rightarrow((\sim \mathrm{A}) \vee \mathrm{B})$ निम्न में से किस के तुल्य है?
A
$B \Rightarrow( A \Rightarrow B )$
B
$A \Rightarrow( A \Leftrightarrow B )$
C
$A \Rightarrow((\sim A ) \Rightarrow B )$
D
$B \Rightarrow((\sim A ) \Rightarrow B )$
(JEE MAIN-2023)
Solution
| $A$ | $B$ | $\sim A$ | $\sim A \vee B$ | $B \Rightarrow((\sim A ) \vee B )$ |
| $T$ | $T$ | $F$ | $T$ | $T$ |
| $T$ | $F$ | $F$ | $F$ | $T$ |
| $F$ | $T$ | $T$ | $T$ | $T$ |
| $F$ | $F$ | $T$ | $T$ | $T$ |
| $A \Rightarrow B$ | $\sim A \Rightarrow B$ | $B \Rightarrow ( A \Rightarrow B )$ | $A \Rightarrow ((\sim A ) \Rightarrow B )$ | $B \Rightarrow ((\sim A ) \Rightarrow B )$ |
| $T$ | $T$ | $T$ | $T$ | $T$ |
| $F$ | $T$ | $T$ | $T$ | $T$ |
| $T$ | $T$ | $T$ | $T$ | $T$ |
| $T$ | $F$ | $T$ | $T$ | $T$ |
Standard 11
Mathematics
