I am unable to understand this question (number 11). I think that option A is correct as it working as a participle phrase. But I am not sure which noun does it modify. The correct answer is C.
Given that the answer to Question 10 is J, the original passage looks like this:
Of the numerous ironing board inventors, Sarah Boone is credited by the US Patent and Trademark Office, turning the tide against homemade boards.
and the answer key says it should be changed to:
Of the numerous ironing board inventors, Sarah Boone is credited by the US Patent and Trademark Office with turning the tide against homemade boards.