Yes, you can appear for the UPSC exam after graduation.

The UPSC (Union Public Service Commission) exam is one of the most prestigious and competitive exams in India. It is conducted to recruit candidates for top administrative positions in the country, such as the Indian Administrative Service (IAS), Indian Police Service (IPS), and Indian Foreign Service (IFS), among others.

Eligibility Criteria:
To appear for the UPSC exam, candidates must fulfill certain eligibility criteria. These criteria include:

1. Educational Qualification: Candidates must hold a minimum of a bachelor's degree from a recognized university. Therefore, after graduation, you fulfill this requirement.

2. Age Limit: The age limit for general category candidates is usually between 21 to 32 years. However, there are relaxations for candidates belonging to reserved categories and those with certain disabilities.

3. Nationality: Candidates must be Indian citizens. There are also provisions for certain categories of persons of Indian origin and migrants from neighboring countries.

4. Number of Attempts: The number of attempts allowed varies according to the candidate's category. General category candidates can attempt the exam a maximum of six times, while there are relaxations for reserved category candidates.

Exam Stages:
The UPSC exam consists of three stages:

1. Preliminary Examination: The first stage is the preliminary examination, also known as the Civil Services Preliminary Examination (CSAT). It consists of two objective-type papers: General Studies (GS) and Civil Services Aptitude Test (CSAT). The CSAT is qualifying in nature and the marks obtained in the GS paper determine eligibility for the next stage.

2. Main Examination: Candidates who qualify the preliminary examination move on to the main examination. It comprises nine papers, including essay writing and optional subjects. These papers assess candidates' knowledge in various subjects and their ability to express themselves effectively.

3. Personal Interview: Candidates who clear the main examination are called for a personal interview, which is conducted by a board of experts. This interview assesses the candidate's personality, communication skills, and overall suitability for administrative positions.

Preparation:
Preparing for the UPSC exam requires a comprehensive study plan and dedication. It is advisable to start early and gather relevant study materials, such as textbooks, previous years' question papers, and current affairs magazines. Joining a reliable coaching institute or taking online courses can also be beneficial.

In Conclusion, after graduation, you are eligible to appear for the UPSC exam. Make sure to fulfill all the eligibility criteria and prepare diligently to increase your chances of success. Good luck!