Answer
a) $\textbf{Left to right }$.
b) $\textbf{Zero}$.
c) $\textbf{Right to left}$.
Work Step by Step
By Lenz's law, the induced current will be created to oppose the decrease or the increase of the magnetic flux inside the loop.
And since the magnetic flux increases by closing the magnet bar, the induced current should create a magnetic flux that opposes the original flux.
$$\color{blue}{\bf [a]}$$
When the magnet is inserted into the coil, the induced current will create a magnetic field that has a north pole toward the right and a south pole toward the left.
So according to the right-hand rule, the induced current is moving from $\textbf{left to right }$ through the meter.
$$\color{blue}{\bf [b]}$$
Since there is no change in the flux, the induced current must be $\bf zero$.
$$\color{blue}{\bf [c]}$$
When the magnet is withdrawn from the left side of the coil, the induced current will create a magnetic field that has a north pole toward the left and a south pole toward the right.
So according to the right-hand rule, the induced current is moving from $\textbf{right to left}$ through the meter.
