Detached vs. Lonesome

[Vivek]

Synonyms Lesson, Advanced Level

ESL/EFL Test #110 "Synonyms for alone and lonesome", question 4

She hates Christmas because she feels so sad and ......... despite all the people coming by to greet her.

(a) single
(b) lonesome
(c) apart
(d) detached

Synonyms Lesson, Advanced Level

ESL/EFL Test #110 "Synonyms for alone and lonesome", answer 4

She hates Christmas because she feels so sad and lonesome despite all the people coming by to greet her.

Correct answer: (b) lonesome

Your answer was: incorrect
She hates Christmas because she feels so sad and detached despite all the people coming by to greet her.
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Hi,

Its really a good site to learn english.
My questions are :
why can't we use "detached" ?
How we come to know about the correct answer? Whats the difference among all these synonyms ?

Please explain.

Thanks and Regards
Vivek

[DOlier]

If she was all alone, if there was nobody around she would be "lonesome".
"Detached" means there are about but because she is sad she cannot relate to them, or communicate with them.