The answer is C) any, some Typically, such a sentence is said when the person wants no more of one food but some of another food. So, the negative clause "can't eat" would be followed by "any" and the positive clause "should like" would be followed by "some". Some people might make the case for answers A) and B), though they really aren't common English. And choice D) is clearly wrong because "any" will not fit at all with that positive clause. Lastly, you would never say "I can't eat no more potatoes", which apparently the test makers thought was such an obviously wrong choice that they did not include it as an option. Such incorrect double negatives are sometimes used by uneducated Native-English speakers. On rare occasions, educated English speakers will use double negatives in informal speech for emphasis.

C) any, some

The correct answer is C.