Which of the following sentences uses the determiner correctly?

The correct answer is Option (1) → Did the shopkeeper give you any change?

Some and any:

• We use any in questions and negative sentences. We use some in positive statements.
• Option 1 is a question, so “any change” is correct.

Why the Other Options are Incorrect?

Option 2: There aren’t some buses to Shimla after nine at night. — Incorrect. The sentence is negative (“aren’t”), so it needs “any”, not “some”.
Corrected: There aren’t any buses to Shimla after nine at night.

Option 3: We had hardly some rain in July this year. — Incorrect. “Hardly” gives the sentence a negative sense, so it takes “any”.
Corrected: We had hardly any rain in July this year.

Option 4: She has got any good books on Indian history. — Incorrect. This is a positive statement, so it needs “some”, not “any”.
Corrected: She has got some good books on Indian history.