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The correct answer is option 3, which states that statement 1 and 3 are true.
Statement 1 is true because Faxian`s Gaoseng Faxian Zhuan was indeed the earliest first-hand Chinese account of Buddhist sites and practices in India. This text documented Faxian`s journey to India and provided valuable insights into the Buddhist culture and traditions.
Statement 2 is not mentioned in the question, so we cannot determine if it is true or false based on the information provided.
Statement 3 is true because Faxian`s main aim in coming to India was to obtain and take back texts containing monastic rules. He wanted to study and collect Buddhist scriptures to bring back to China.
To summarize, statement 1 about Faxian`s Gaoseng Faxian Zhuan being the earliest first-hand Chinese account of Buddhist sites and practices in India and statement 3 about Faxian`s main aim in coming to India to obtain Buddhist texts containing monastic rules are both true. Statement 2 cannot be determined based on the information given in the question.