Answer:
Yes,
NO,
Yes,
Yes,
No.
Explanation:
CASE: A wire is moved through the field of a magnet
As the wire is moved through the field of a magnetic the magnetic flux through the circuit loop changes,; therefore current is induced.
CASE: A magnet is held close to a wire
There needs to be relative motion between the wire and the magnet for the current to be induced; therefore, simply holding a magnet close to a wire will not induce current in the circuit.
CASE: A magnet is moved into a coil of wire
As the magnet is moved into a coil of wire, the magnetic flux through the coil changes, and therefore, the current is induced.
CASE: A magnet is moved out of coil of wire
Moving a magnet out of coil of wire also changes the magnetic flux through the coil; therefore, the current is induced.
CASE: A magnet rests in coil of wire
There needs to be relative motion between the coil of wire and the magnet for the current to be induced; therefore, a magnet resting in the coil of wire will no induce any current in the coil.