Correct option is A
A) Clean : Sterile → Sterile is an extreme form of Clean (in terms of purity and lack of germs). (Possible)
B) Lonely : Gloomy → Lonely and Gloomy are related, but not in an extreme degree of the same concept (Not the same pattern)
C) Neutral : Detached → Neutral means unbiased, while Detached means emotionally disconnected. These are related but not in the same degree pattern. (Not a perfect match)
D) Abandon : Barren → Abandon means to leave, Barren means infertile. These words are unrelated in the required sense. (Not the same pattern)
Since Sterile is a more extreme form of Clean, just as Austere is a more extreme form of Plain, the best answer is (A) Clean : Sterile