Question

Consider the following statements
$p$: Virat Kohli plays cricket
$q$ : Virat Kohli is good at maths
$r$ : Virat Kohli is successful
then negation of the statement If virat kohli plays cricket and is not good at maths then he is successful will be

• A. $\sim p\wedge (q\wedge r)$
• B. $(\sim p\vee q)\wedge r$
• C. $p\wedge (\sim q\wedge \sim r)$
• D. $Noneofthese$

Answer 1

The correct option is C $p\wedge (\sim q\wedge \sim r)$

If (Virat kohli plays cricket and is

not good maths) then (he is

Successful)

$r$

$\sim \left(\right(P\wedge \sim q)\to r)$

$\sim (\sim (P\wedge \sim q)\vee r)$

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

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