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I feel (A) is the answer. Since one in seven is actully referring to just 'one', so singular depends instead of depend should be used.(C) is wrong as it sounds like a form of manufacturing called US Manufacturing. (D) and (E) don't sound right with one-seventh.
I think one-seventh would need a 'the' to refer to what the faction is referring to. For instance:
one-seventh of the students are girls.
one-tenth of his salary
similarly, i would feel one-seventh of the manufacturing jobs in US...is correct. One-seventh of US manufacturign job is wrong, even if you say One seventh of the US manufacturing jobs. That's because the jobs we are referring to are manufacturing jobs that are in the US.
Venksune, agree with you on that point. I have come across a question that posed 'one in some number' versus 'one-some number' and the former came out correct too. So I suppose one in seventh is the correct grammatical structure.
Check out this awesome article about Anderson on Poets Quants, http://poetsandquants.com/2015/01/02/uclas-anderson-school-morphs-into-a-friendly-tech-hub/ . Anderson is a great place! Sorry for the lack of updates recently. I...