Question

The negation of the statement: ''It is raining and it is cool'' is

• A. It is not raining and it is cool.
• B. It is raining and it is not cool.
• C. Neither it is raining nor it is cool.
• D. It is not raining or it is not cool.

Answer 1

The correct option is D It is not raining or it is not cool.

Let $p$ : It is raining.
$q:$ It is cool.
The logical representation of the given statement is $p\wedge q$
$\because \sim (p\wedge q)=(\sim p)\vee (\sim q)$
So, negation of the given statement is
"It is not raining or it is not cool."