The negation of the statement " $ 72 $ is divisible by $ 2 $ and $ 3 $ " is

Question

The negation of the statement " $ 72 $ is divisible by $ 2 $ and $ 3 $ " is, $ 72 $ is not divisible by $ 2 $ or $ 72 $ is not divisible by $ 3 $, $ 72 $ is divisible by $ 2 $ or $ 72 $ is divisible by $ 3 $, $ 72 $ is divisible by $ 2 $ and $ 72 $ is divisible by $ 3 $, $ 72 $ is not divisible by $ 2 $ and $ 3 $

MARKS App · Accepted Answer

We have, $p: 72$ is divisible by 2 and 3 . Let $\mathrm{q}: 72$ is divisible by 2 . r: 72 is divisible by 3 . $\sim \mathrm{q}: 72$ is not divisible by 2 . $\sim$ r. 72 is not divisible by 3 . $\sim\{q \wedge f)-\sim q \vee \sim r$ $\Longrightarrow 72$ is not divisible by 2 or 72 is not divisible by 3 .

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