Yes, you can appear for the Animal Husbandry and Veterinary Science Optional Subject Exam after completing your graduation.

Here are the details:

Eligibility Criteria:
To appear for the Animal Husbandry and Veterinary Science Optional Subject Exam, you need to fulfill the following eligibility criteria:

1. Graduation: You should have a bachelor's degree in Animal Science, Veterinary Science, or any related field from a recognized university.

2. Age Limit: There is no specific age limit to appear for this exam. However, you need to meet the age criteria set by the UPSC for the Civil Services Examination.

Exam Pattern:
The Animal Husbandry and Veterinary Science Optional Subject Exam is a part of the Civil Services Examination conducted by the Union Public Service Commission (UPSC). Here is the exam pattern:

1. Paper I: This paper consists of theoretical questions related to animal nutrition, genetics, breeding, physiology, health, and other aspects of animal husbandry and veterinary science. It carries a total of 250 marks.

2. Paper II: This paper focuses on the practical aspects of animal husbandry and veterinary science. It includes questions on veterinary surgery, gynecology, obstetrics, pathology, and other practical aspects of animal care. It also carries a total of 250 marks.

Preparation:
To prepare for the Animal Husbandry and Veterinary Science Optional Subject Exam, you can follow these steps:

1. Syllabus: Go through the syllabus provided by UPSC and understand the topics that need to be covered.

2. Study Material: Gather relevant study material such as textbooks, reference books, and previous years' question papers to aid your preparation.

3. Coaching Institutes: Consider joining a coaching institute that provides guidance and coaching specifically for the Animal Husbandry and Veterinary Science Optional Subject Exam.

4. Self-Study: Allocate sufficient time for self-study and create a study schedule to cover all the topics systematically.

5. Practice: Solve previous years' question papers and take mock tests to improve your time management and problem-solving skills.

Conclusion:
After completing your graduation in Animal Science, Veterinary Science, or any related field, you are eligible to appear for the Animal Husbandry and Veterinary Science Optional Subject Exam. Make sure to fulfill the eligibility criteria and prepare well by following a systematic study plan. Good luck with your preparation!