The magnetic flux through the rectangular loop abcd increases, due to the motion of the loop into the region of magnetic field. The induced current must flow along the path bcdab, so that it opposes the increasing flux.
Due to the outward motion, magnetic flux through the triangular loop decreases due to which the induced current flows along bacb, so as to oppose the change in flux.
As the magnetic flux decreases due to motion of the irregular shaped loop abcd out of the region of magnetic field, the induced current flows along cdabc, so as to oppose change in flux.
Circular loop is entering the magnetic field, so the flux linked with them increases. The direction of induced currents in this coils will be such as to oppose the increase in magnetic flux, hence the magnetic field due to current induced will be upward. i.e. Current induced will flow anti-clockwise.
Hence, A-(III), B-(I), C-(II), D-IV.