Step 1: Idea:
We shall go option by option and test which letters are allowed, using the test: is there a named human author?
A text with a named author is paurusheya. A text said to have no author is apaurusheya.
Step 2: Test the letters with an author:
Natya is tied to Bharata. Kavya is tied to poets like Kalidasa, Bhasa and Bana. Both have human authors, so B and C must be rejected.
Step 3: Remove options using this:
Option 2 contains B, Option 3 contains B and C, and Option 4 contains B and C. All three are removed.
Step 4: Check the survivor:
Option 1 contains A and D. The Vedas (A) are the standard apaurusheya texts. The Vedangas (D) are the limbs that preserve the Veda and are listed with it in the Vedic literature, so they are accepted here.
Step 5: Caution:
The word apaurusheya applies most firmly to the Vedas. Because only Option 1 avoids the clearly human works, it is the answer to choose.
Final Answer:
Option 1 is the only one with no human-authored work like Natya or Kavya. \[ \boxed{\text{A and D only}} \]