Option D is the correct answer because “faculty” means an inherent mental or physical power, “ability” means the skill to do something, hence it is correct.
The other synonyms of faculty are “potential”,”capability” and “capacity “.
Option A is incorrect because “previlige” means a special right, advantage, or immunity granted or available only to a particular person or group.
Option B Is incorrect because “desire” means a strong feeling of wanting to have something or wishing for something to happen, which is different from “faculty”.
Option C is incorrect because “branch” means to divide, which is different from faculty.