The loan company announced it would soon lend money to borrowers with proven records //their not paying back their loans on time, //collectively known as the subprime lending market.
A. of their not paying back their loans on time,
B. of not paying back their loans on time, a group
C. of not paying back their loans on time, with such a group
D. that they do not pay back their loans on time,
E. that they do not pay back their loans on time, such a group
noun+noun modifier could appear at the end of a sentence to modify a noun in the sentence. the noun modified could be far from " noun+noun modifier". the name for this sentence is resumptive sentence. dont care about the name. an example is
the lecturer teaches many smart students in his class of 2022 in the campus, the persons who have passed gmat with high score.
in above sentence, "persons who..." refers to ' students". the point is " persons..." is far from " students...".
choice B is an example of this kind of sentence.
regarding choice D.
"collectively known " is participle phrase working as adjective modifying a noun. but the point is that the noun modified must be close to the participle phrase. a noun far from participle phrase can not be modified this way. so, in choice D, "collectively known ..." can not modify "borrowers".
the difference between choice B and D is "farness" and "closeness".
regarding choice C.
"with +noun+doing/do-ed/adjective" can work as an adverb modifying the whole sentence and showing context, result or reason and other meaning relations with the main clause. in short, "with +such a..." modify the whole main clause. this is no sense.
gmat test us the basic and hard point of grammar. we need to learn basic grammar and this can be learned. gmat never test the grammar rules which is not basic and hard to remember.