If the momentum of a body is increased $n$ times, its kinetic energy increases
$n$ times
$2n$ times
$\sqrt n $times
${n^2}$ times
If the momentum of a body is increased $n$ times, its kinetic energy increases
$E = \frac{{{P^2}}}{{2m}}$
$E \propto {P^2}$
i.e. if $P$ is increased $n$ times then $E$ will increase $n^2$ times.