Here's how you might think through this question to answer it without reading through all the answer choices:
Q: An international convention regulating trade in endangered species, especially bears and tigers,
could be significantly weakened were it not for restrictions on captive breeding of endangered species, warn conservation and animal welfare groups.(A) could be significantly weakened were it not for restrictions on captive breeding of endangered species, warn conservation and animal welfare groups.
Step 1:I read the sentence above and notice that the phrase "were it not for" bothers me. What is "it" referring to?
So immediately I'm suspicious about (A).(B) could be significantly weakened if restrictions on captive breeding of endangered species aren't eased, warn conservation and animal welfare groups.
Step 2:Looking at (B), this is opposite the original meaning! It shouldn't be "aren't eased"--it should be "are eased."
(C) couldn't be significantly weakened without restrictions on captive breeding of endangered species being eased, warn conservation and animal welfare groups.
Step 3:With (C), just reading "couldn't be significantly weakened" without reading the rest of the answer choice,
I already know (C) is not what we want because again--it changes the meaning of the sentence to what is actually OPPOSITE of what we want.
(D) can't be significantly weakened if restrictions on captive breeding of endangered species are eased, warn conservation and animal welfare groups.
Step 4: (D): Same thing--"can't" should be "can"(E) could be significantly weakened if restrictions on captive breeding of endangered species are eased, warn conservation and animal welfare groups.
Step 5: (E): This captures the meaning we want correctly.
Interesting how (B), (C), and (D) have the opposite meaning of what we want.Only (A) and (E) have the meaning we want. (A) has the awkward "were it not for" phrase. So only (E) looks fine.