Answer:
a) 
The velocity increase by a factor of 
b) 
The velocity decrease by a factor of 2.
c) 
The velocity increase by a factor of 2
d)
The velocity not changes.
Explanation:
For this case we know that the velocity is 
represent the final velocity after the changes specified,
Part a
The formula for the speed of a wave in a string is given by:

And the linear density is defined as:

And if we replace this we got:

If the tension mass is doubled we have this:

The velocity increase by a factor of 
Part b
If we mass is quadrupled we have this:

The velocity decrease by a factor of 2.
Part c
If the length is quadrupled we have this:

The velocity increase by a factor of 2
Part d
For this case we know that the mass and the length are both quadrupled and we got:
The velocity not changes.