A.
The clinical checkups were intended for the early identification of women who are at risk of post-natal depression, and not for premature labor prevention. -> Completely irrelevant. First of all, this option does not undermine the claim. Also the intention of the checkups do not matter here. Outcome is imp.
B.
Four years ago, a dozen hospitals in Country X were given new equipment to facilitate the extraction of new-born babies, thus lowering significantly the number of still births. -> Close. But this option mentions that the new equipment was given only to a dozen hospital, whereas the reduction was across country. Also a 35% reduction is a pretty huge number. This option does not undermine the authors claim only because a dozen hospital do not seem to be. amjor contributor in reducing premature labours across the country.
C.
The cessation of hostilities in Country X coincided with the introduction of clinics offering checkups to pregnant women, and women in war zones are more prone to go into early labor. ->This gives us another cause/ reason for the reduction in the premature labour across the country. Keep this option.
D.
Eight years ago, the UN launched a campaign in Country X promoting the use of medicine to reduce the cases of infections of the urinary tract, following which the percentage of woman going into premature labor was reduced by 30%. -> This was 8 years ago, but the reduction mentioned in the claim started around 4 years back. So we do not have enough information here to defnitely say that instead of the clinical checkups, there was a different reason responsible for the reduction.
E.
Women throughout the world, including those in Country X, go into premature labor, inevitably resulting in a certain percentage of still births. -> Doesn’t help at all. Directly eliminate.
Now we may argue that option C doesn’t state how much of the country was under war zone and if the number of women that are prone to go into early labor in this area form a significant proportion of the country's women, but this seems to be the strongest option amongst all.
Also this is a question where we have to pick the best choice which would undermine the given claim.
Answer: C