Object O$1$ is $16\mathrm{.}2$ cm to the left of a converging lens with a $12\mathrm{.}0-$cm focal length. A second lens is positioned $10\mathrm{.}0$ cm to the right of the first lens and is observed to form a virtual image at the position of the original object O$1.$

$($a$)$ What is the focal length of the second lens?

cm

$($b$)$ What is the overall magnification of this system?

$($c$)$ What is the nature $($i$.$e$.,$ real or virtual, upright or inverted$)$ of the final image?

real and upright

real and inverted$$

virtual and inverted

virtual and upright