Direction of current induced in a loop present in a magnetic field 
So I have a loop, in a magnetic field directed into the plane that the loop is lying in as shown in the figure. Let's assume that the loop is being moved towards right with uniform velocity. 
Question: In which direction would this movement produce current in the loop? 
I know about the Lenz's law, but I don't understand how I can apply it to this. Like what would be the way in which current induced in the loop would oppose the magnetic field it is present in. 
I am familiar with the thumb rule, wrap right hand fingers along a wire with the thumb pointing in direction of current and the curl of fingers give the direction of magnetic field it produces. 
I do not think that this rule can be used here.
If you have an assumption that would clarify this in a better manner then please do use that.
 A: From your question, it seems like the magnetic field is not changing.
For current to get induced in loops, Magnetic flux through the area of the loop has to vary with respect to time. Just placing the conducting loop at rest in a constant magnetic field will not induce any current in the loop.
    Even if the loop is moved towards the right(with any speed) it still does not change the magnetic flux passing through the area enclosed by the loop.
But if the magnetic field is limited to an extent, and the loop is being pulled out of the field in the right, then there is a change in the field as the field that was present before in the part that is out of the field now, is no more present. And this can be assumed as decrease in magnetic field in the downward direction.
So, to oppose the decrease in the magnetic field in the downward direction, the loop itself induces a magnetic field in the downward direction trying to neutralize the decrease in the magnetic field.
So point your right-hand thumb down and curl your fingers,
Induced current through the loop is in the clockwise direction.
Note: Downward direction means into the plane of the paper.
