Correct option is A
The correct sentence, to use the given word correctly, is (C).
Discernment refers to the ability to judge well or perceive details.
The sentence (A) is incorrect. "Discernment" is not appropriate in this context.
The sentence (B) is also incorrect. The use of "discernment" here is not suitable. "Discernment" doesn't convey the sense of betrayal or the feeling of being deceived.
The sentence (C) is correct. It uses "discernment" appropriately to describe the detective's ability to perceive and understand subtle clues, leading to the resolution of the mystery.