As far as I know, generally speaking, pendency of investigation or FIR may not come in the way of appointment. Conviction in a criminal case may of course be a different thing.
However, you must clearly and transparently mention the details of whatever case is pending against you in any court or with police, etc., in the forms required to be filled up at time of applying or at the time of appointment.
It may be pointed out that giving any wrong or false information may render the applicant liable for disciplinary action.
As per the rules, if any criminal prosecution is pending, the probation period of the employee may be extended.
So, you can apply for the examination and prepare for the same. At the same time, if possible, try to get the case quashed or discharged from the competent court.
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.