$A$ convex lens of focal length $20 \, cm$ can produce a magnified virtual as well as real image. Is this a correct statement? If yes,where shall the object be placed in each case for obtaining these images?

(N/A) Yes,the statement is correct.
$1$. To obtain a magnified virtual image,the object must be placed between the optical center $(O)$ and the principal focus $(F_1)$,i.e.,at a distance less than $20 \, cm$ from the lens.
$2$. To obtain a magnified real image,the object must be placed between the principal focus $(F_1)$ and the center of curvature $(2F_1)$,i.e.,at a distance greater than $20 \, cm$ but less than $40 \, cm$ from the lens.