Step 1: Understanding the Concept:
The question requires identifying the correct statements about Swami Dayanand Saraswati, a prominent 19th-century Hindu religious and social reformer.
Step 2: Detailed Explanation:
Let's examine each statement:
\[\begin{array}{rl} \bullet & \text{(A) Dayanand Saraswati authored Satyartha Prakash. TRUE. Satyarth Prakash (The Light of Truth) is his key work and a foundational text for the Arya Samaj. } \\ \bullet & \text{(B) "Back to Vedas" was Dayanand Saraswati's call. TRUE. This famous slogan represented his belief in the Vedas as the ultimate source of knowledge, urging Hindus to return to Vedic teachings. } \\ \bullet & \text{(C) Dayanand Saraswati started the Arya Samaj in Andhra Pradesh. FALSE. He founded the Arya Samaj in Bombay (now Mumbai) in 1875. } \\ \bullet & \text{(D) Dayananda Anglo Vedic (D.A.V.) schools are based on his philosophy. TRUE. His followers, led by Lala Hansraj, established the D.A.V. movement post-mortem to fulfill his vision of combining Vedic education with modern science. } \\ \end{array}\]Therefore, statements (A), (B), and (D) are factually accurate.
Step 3: Final Answer:
The correct option is (A).