The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
If the area of a square increases four times, then its side is not doubled.
If the area of a square increases four times, then its side is doubled
If the area of a square does not increases four times, then its side is not doubled
If the side of a square is not doubled, then its area does not increase four times
Which Venn diagram represent the truth of the statement“All students are hard working.”
Where $U$ = Universal set of human being, $S$ = Set of all students, $H$ = Set of all hard workers.
For integers $m$ and $n$, both greater than $1$ , consider the following three statements
$P$ : $m$ divides $n$
$Q$ : $m$ divides $n^2$
$R$ : $m$ is prime,
then true statement is
The contrapositive of the statement "I go to school if it does not rain" is
The statment $ \sim \left( {p \leftrightarrow \sim q} \right)$ is
The statement $(p \wedge(\sim q) \vee((\sim p) \wedge q) \vee((\sim p) \wedge(\sim q))$ is equivalent to