Question

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

• A. 72 is not divisible by 2 or 72 is not divisible by 3.
• B. 72 is divisible by 2 or 72 is divisible by 3.
• C. 72 is divisible by 2 and 72 is divisible by 3.
• D. 72 is not divisible by 2 and 3.

Answer 1

The correct option is A 72 is not divisible by 2 or 72 is not divisible by 3.

Let the statements be
$p$: 72 is divisible by 2.
and $q$: 72 is divisible by 3.
Then, we have to find $\sim (p\wedge q)$.
$\sim (p\wedge q)=\sim p\vee \sim q$
$\therefore$ The negation of the given statement is "72 is not divisible by 2 or 72 is not divisible by 3".