Yikes! Tough one!
1. science success --> public FALSELY believe science can solve ANY problem
2. problems scientists solve --> TYPICALLY selected by scientists
3. prblm selected by others --> guided by scientists to formulate scientifically feasible
4. pblm NOT formulated that way --> scientists ALMOST NEVER asked to solve
Lots of possibilities here. There are connections to be made, perhaps contrapositives to be used, and maybe even some distinctions between "scientists" and "science" to be made?? Whoa. Instead of getting too deep into that, let's take what we have clearly noted above and proceed to the choices with caution!
One thing you might notice is that, unlike some inference questions, this one is actually an argument. It's not just a list of facts -- there is a claim being made. This is why the question says "most strongly supports" rather than "must be true" -- this allows the test-writer to open up the scope of correct answer choices. The correct choice doesn't have to be 100% provable, and it will likely involve the CLAIM made in the argument and not just the facts.
(A) we cannot begin an if/then statement with "if can be formulated..." Rather, we can only end with it (see #3 and #4 above)
(B) see #2 above. The only thing we know about problems that scientists can solve is that most of them are selected by scientists.
(D) If anything, this is actually contradicted by the passage. Most of the problems that scientists solve are chosen by scientists. The remainder are selected by politicians.
However, for all we know, even problems that the scientists choose for themselves are problems that politicians "want solved." In other words, there could be a an important word shift here from problems that politicians "select" and problems that politicians "want solved."
These two reasons are enough to eliminate (D).
(E) ONLY reason? Close, but not quite -- remember #3 above: sometimes the scientists solve problems that they didn't select.
Now, a lot of folks probably eliminate (C) because it seems like we can't predict anything about the scientists success rate simply based on the facts presented. This is where that claim from the argument, and it's connection to the evidence, come in:
scientist's success rate causes FALSE beliefs that science can solve any problem.
And the evidence for this claim is that scientists don't just work on any ole problem: they only work problems that they either select or help formulate.
Now, if you say "I think you overestimated Oregon's offense. They've only played against poor defensive lines." You are suggesting that, if Oregon had played against better defensive lines, I would have a different evaluation of their offense. See the similarity?
This whole pattern/structure of reasoning leads to (C), which is essentially a loose-ish paraphrase of the conclusion itself .
"If scientists didn't get to choose the problems they work on --> they would have a lower success rate."
Sometimes these things are easier to talk about than type about. Hope that helps
