This question asks us to find the answer choice that does not offer support for the argument. 4 of the 5 answer choices will support it, the one that doesn't is correct.
The argument concludes that the key to quitting smoking is to replace an unhealthy activity with a healthy one. Why does the author believe this to be the case? First, quitting smoking is stressful and leads to weight gain, so it's difficult to do. Second, in a study, a comparison was made that showed a higher success rate for those who tried to quit smoking and included aerobic exercise than those who only tried to quit smoking.
Incorrect Answers
(A) provides support through the first premise by suggesting that one of the factors that makes quitting smoking difficult (weight gain) is mitigated by aerobic exercise.
(B) provides support through the second premise by helping to reduce the likelihood that the study was biased.
(D) provides support through the first premise by suggesting that another factor that makes quitting smoking (stress) is mitigated by aerobic exercise.
(E) provides support through the second premise by showing that the effects of aerobic exercise were not temporary - remember the conclusion is about quitting smoking (a permanent change).
This leaves answer choice (C) as the correct answer. Answer choice (C) might actually weaken the argument. If nonsmokers (lets say folks who have quit smoking) do not gain weight when they stop exercising, this severs the connection between the healthy activity and one of the issues that would make quitting smoking so difficult. If exercise does not prevent weight gain, how is it that exercise helps people quit smoking?