The Kinetic Energy acquired by mass ‘m’ in travelling a certain distance ‘d’, starting from rest, under the action of a constant force is

A body of mass m is acted upon by a constant force F & moved through a distance d

So work done = $\text{F}\times \text{S}$ = change in K.E.

$\text{w}=\text{F}\times \text{d}$ = kinetic energy acquired relative to its initial K.E

$\Delta \text{K.E}=\text{Fd}$

In this situation we can claim that $\Delta \text{K.E}$ depend only on F, d and $\Delta \text{K.E}$ has no dependence on mass m because everybody irrespect of mass get some change in K.E upon displaced through a distance d by the application of force F.

Option (b) is correct conclusion.

Apart from other options a, c, d.