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Mathematical Reasoning
hard
The expression $ \sim ( \sim p\, \to \,q)$ is logically equivalent to
A
$ \sim p\, \wedge \sim \,q$
B
$ p\, \wedge \sim \,q$
C
$ \sim p\, \wedge \,\,q$
D
$p\, \wedge \,\,q$
(JEE MAIN-2019)
Solution
| $p$ | $q$ | ${ \sim p}$ | $ \sim p \to q$ | $ \sim \left( { \sim p \to q} \right)$ | $\left( { \sim p \wedge \sim q} \right)$ |
| $T$ | $T$ | $F$ | $T$ | $F$ | $F$ |
| $F$ | $T$ | $T$ | $T$ | $F$ | $F$ |
| $T$ | $F$ | $F$ | $T$ | $F$ | $F$ |
| $F$ | $F$ | $T$ | $F$ | $T$ | $T$ |
Standard 11
Mathematics
