Theres no clear cut method to solve these kind of problems. My method of solving such problems is weird, however 100% successful for me!
I understand the basic meaning of the question and create a 1-line mind note of it. Then I go through the answer choices, and do the same. Many a times I translate the question as well as the answers in my mother tongue. This really helps understanding the structure. Once you know the structure and basic meaning of the sentence, choosing answer is just about matching the pattern.
Good luck for GMAT.