The correct options are
A A magnet is brought close to a wire.
C A magnet is taken away from a wire.
When the number of magnetic field lines interacting with the wire changes, a current is induced in the wire. Hence, when a magnet is brought close to a wire, or taken away from a wire, a current is induced as the number of magnetic field lines interacting with the wire changes. When a magnet is kept close to a wire or kept far from a wire, the number of field lines interacting will be constant. Hence, no current is induced in the wire.