The contrapositive of the statement, "I $\mathrm{x}$ is a prime number and $\mathrm{x}$ divides $\mathrm{ab}$ then $\mathrm{x}$ divides $\mathrm{a}$ or $\mathrm{x}$ ivides b", can be symbolically represented using logical connectives, on apporpriately-defined statements $p, q, r, s$, as

$(\sim r \vee \sim s) \rightarrow(\sim p \wedge \sim q)$

$(r \wedge s) \rightarrow(\sim p \wedge \sim q)$

$(r \vee s) \rightarrow(\sim p \vee \sim q)$

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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Understanding +4 | -1

The contrapositive of the statement, "I

\mathrm{x}

is a prime number and

\mathrm{x}

divides

\mathrm{ab}

then

\mathrm{x}

divides

\mathrm{a}

\mathrm{x}

ivides b", can be symbolically represented using logical connectives, on apporpriately-defined statements

p, q, r, s

, as

View answer and explanation

Correct option: C

(\sim \mathrm{r} \wedge \sim s) \rightarrow(\sim p \vee \sim q)

Option C (

(\sim r \wedge \sim s) \rightarrow (\sim p \vee \sim q)

) is correct because it accurately represents the contrapositive of the given statement using logical connectives.