Trust based on a person's competence would be summarized by this team member's affectionate statement towards another team member:

A) "I trust you to honor your commitments."

B) "Does it feel right to allow you to make this decision?"

C) "I trust you to be able to accomplish this task."

D) "I trust you to do the right thing."

The correct answer is:

I trust you to be able to accomplish this task (C)

Explanation:

First of all, you have to know the meaning of the word competence, and competence is a collection of related relevant abilities, know-how and skills required to act effectively on a job or situation. Which is a clear message passed by the speaker in the statement "I trust you to be able to accomplish this task", because the speaker knows that his team member possesses the right skills to carry out a task successfully.

The statement in option D ("I trust you to do the right thing.") also tells a little about competence because one of the definitions of competence highlights being sane, and one needs to be sane to do the right thing, but it is only second choice when compared to the statement in option "C".

Next time when you are faced with this kind of question, identify the keyword (which in this case is competence), and use that to answer the question.