What is the meaning of the phrase "There is no possibility of trusting him"?

The phrase "There is no possibility of trusting him" indicates a complete lack of trustworthiness associated with the subject. The language used implies that he is untrustworthy, making it impossible to place any confidence in him. This aligns perfectly with the interpretation that he can't be trusted.

The other choices either imply a positive view of the individual's reliability or suggest a level of trust that contradicts the original statement. Thus, the statement unequivocally points to the idea presented in the correct choice.