The given sentence has to be filled with the most suitable determiner. Option A is correct, as we use 'any' with negative sentences and questions, like - She didn't have any sugar./ Did she have any sugar? Hence - 'Do you have any new pen for tomorrow's competition?' Option B is incorrect because 'Much' is usually used with uncountable and abstract nouns like 'time'. Option C is incorrect, as 'some' is used for uncountable nouns and in positive sentences. Option D is incorrect, as 'most' is used for both countable and uncountable, singular as well as plural nouns, but it is a superlative form. It can only be used when you want to show the highest form or emphasis.