Answer:
C.
only when a nonzero net force is applied to the object.
Explanation:
We can use the process of elimination to solve this problem-
Firstly, "A. when the forces acting on the object remain balanced.", can be eliminated because when all forces upon an object are equal, the object is at rest- no motion.
Based upon this we can also eliminate "D. All of these," as this would be, well incorrect.
That leaves "B. only if the object is at rest when a force acts upon it." While this is technically correct, it is not the full answer- yes, when there is 0 motion and a force acts upon an object, motion is changed, but this can happen in other ways, like acceleration, deceleration, etc.
This leaves "C. only when a nonzero net force is applied to the object."
This answer implies that any non-zero force applied on any object will create a change in motion, which is true, no matter how minute it is.
Therefore, the answer is "C. only when a nonzero net force is applied to the object."
