Even though her career was cut short when she was in her prime and the fifteen recordings she made were disappointing artistically as well as technically, Olive Fremstad (1871-1951) has never been entirely forgotten by opera aficionados. 


(A) though her career was cut short when she was in her prime and the fifteen recordings she made were

(B) though her career was cut short while in her prime, with the fifteen recordings she made 

(C) as her career had been cut short when she was in her prime, with the fifteen recordings she had made

(D) with her career having been cut short when she was in her prime, and the fifteen recordings she made were

(E) with her career cut short while in her prime, and that the fifteen recordings she made were


As there are no noticeable errors in the sentence, including the underlined part, let’s look at the other options before choosing the answer. 

(B) though her career was cut short while in her prime, with the fifteen recordings she made 

With the fifteen recordings she made disappointing artistically as well as technically? Verb missing- 
Eliminate

(C) as her career had been cut short when she was in her prime, with the fifteen recordings she had made

Incorrect use of conjunctions. We need a conjunction that shows contrast.
Even though A- her career was cut short and
B- fifteen recordings she made were disappointing, (contrast)- Olive Fremstad has never been entirely forgotten.
Incorrect use of past perfect tense 

(D) with her career having been cut short when she was in her prime, and the fifteen recordings she made were

Incorrect use of conjunctions. We need a conjunction that shows contrast. Eliminate

(E) with her career cut short while in her prime, and that the fifteen recordings she made were
And that” breaks parallelism
Eliminate

Two things-
1)Career was cut short
2) recordings were disappointing
Hence both should be in the same tense 
Option A is correct