The only way to induce current in a solenoid is by moving a magnet near the solenoid.
False
Whenever there is a change in the magnetic flux linked with the coil, electricity is induced in the coil. This phenomenon is electromagnetic induction. The current thus induced is the induced current. The voltage induced is the induced emf.
The magnetic flux linked with the solenoid can be changed by either moving the magnet near the solenoid or by moving the solenoid near the magnet. It does not matter whether we move the magnet or solenoid, but only the relative motion is of importance. Hence, the given statement is false.