QJEEM22Ma9163: JEE Main 2022 Mathematics - Class 11 JEEM22Ma9163 Solution: Let : Ramesh listens to music. : Ramesh is out of his village.…

Question

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Let

$\mathrm{p}$ : Ramesh listens to music.

$\mathrm{q}$ : Ramesh is out of his village.

$\mathrm{r}$ : It is Sunday.

$\mathrm{s}$ : It is Saturday.

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday" can be expressed as

A $((\sim q) \wedge(r \vee s)) \Rightarrow p$
B $(\mathrm{q} \wedge(\mathrm{r} \vee \mathrm{s})) \Rightarrow \mathrm{p}$
C $p \Rightarrow(q \wedge(r \vee s))$
D $\mathrm{p} \Rightarrow((\sim \mathrm{q}) \wedge(\mathrm{r} \vee \mathrm{s}))$

Accepted Answer

p : Ramesh listens to music

q : Ramesh is out of his village

r : It is Sunday

s : It is Saturday

p $\to$ q conveys the same p only if q

Statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"

$p \Rightarrow (( \sim \,q)\, \wedge \,(r\, \vee \,s))$

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