Hey I think the easiest way to find a meso-compound, they are optically non-active, is to see if they have a mirror-plane. If the molecule has a mirror-plane it's optically non-active and if it has chiral centres nevertheless, it's a meso compound. So with III you can clearly see there is a mirror plane, so it's a meso-compound. With 1 you have to rotate the molecule to see that it too has a mirror plane, so I and III are mes-compounds. II does not have a mirror plane, so is optically active and not meso.
So the correct answer should be A.