Is there a/any/many milk in the carton? There is a little/any/a few mayonnaise in the jar.

1) Is there any milk in the carton?

2) There is a little mayonnaise in the jar.

We use any because it is interrogative sentence. Any is used in interrogative and negative sentences.

We use a little because mayonnaise is uncountable noun. And a little is always used with uncountable nouns.