See most of the government jobs don't have any such imposition. In general the state government states that the candidate must be a Indian Citizen. So in general there are no such grievances that you can't get job in Uttarakhand Government. If there are some exceptions then you will get those from the notification.

Now if you can specify the examination then we can provide you more specific information regarding the examination.

I hope this answer helps. All the very best for your future endeavors!