  Let $q>2$ be a prime number, $d$ be an odd square-free natural number, and
$n$ be a non-negative integer. We prove that a semisimple quasitriangular Hopf
algebra of dimension $dq^n$ is solvable in the sense of Etingof, Nikshych and
Ostrik. In particular, if $n\leq 3$ then it is either isomorphic to $k^G$ for
some abelian group $G$, or twist equivalent to a Hopf algebra which fits into a
cocentral abelian exact sequence.
