which Word is the determiner in the sentence: "Does it take much time?"

Determiners are words such as the, my, this, some, twenty, each, any, which are used before nouns. Determiners include the following common types:

Articles:a, an, the

Demonstratives:this, that, these, those

Possessives:my, your, his, her, etc.

Quantifiers:(a) few, some, many, etc.

Numbers:one, two, three, etc.

So, the correct answer is Much