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I like to look at problems like this by adding words or examples that are true to make it clearer.
For example, in this case:
If someone is a direct marketer (A), then they are in advertising (B)
If someone is in advertising (B), then they are in marketing (C)
If someone is in marketing (C), then they are in business (D)
Then look at the answer choices and think about which is logically true:
(A) If someone is in business, then they are a direct marketer? No, not necessarily true, they could be in some other kind of business.
(B) If someone is not in advertising, then they are not in marketing? Again, not true. Someone could be in marketing without being in advertising.
(C) If someone is not in business, then they are not in direct marketing. This is true. Direct marketing is a subset of business, so all direct marketers are by definition also in business. C looks like the answer here. Check the others just to make sure.
(D) If someone is in business, then they are... ???. We don't know anything about E from the question stem. This is clearly not the answer.
(E) If someone is not in direct marketing, then they are not in business? Clearly untrue. There are a zillion other types of businesses other than direct marketing.
Therefore, the answer is C.
Hope this helps for people who get confused with this type of problem.