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Mathematical Reasoning
hard
If $\mathrm{p} \rightarrow(\mathrm{p} \wedge-\mathrm{q})$ is false, then the truth values of $p$ and $q$ are respectively
A
$F, T$
B
$T, T$
C
$F, F$
D
$T,F$
(JEE MAIN-2020)
Solution
$p \rightarrow(p \wedge-q)$ is $F \Rightarrow p$ is $T$ and $p \wedge-q$ is $F \Rightarrow q$ is $T$
$\therefore p$ is $T, q$ is $T$
Standard 11
Mathematics
