$A)$ If a graph has closed Eularian walk, then it has an even number of edges
$B)$ If $G$ be a simple graph on $9$ vertices and the sum of all degrees in $G$ is atleast $27$, then $G$ has a vertex of degree atleast $4$.
Which Statement should be true?
Is it possible B) to be true?
And for A) I think "only if" is needed in place of "if" to be true