Hi there,

Hope you are doing fine.

Congratulations on getting 6814 rank in the preparatory jee advanced examination.

The cutoff for the various government engineering institutions  keeps changing every year depending upon a lot of factors like the previous year closing rank, the number of seats available and the number of applicants.

You can check the previous year cutoff by visiting the official website of the josaa and the csab and then checking the opening and closing ranks for the various programs and courses offered there.

Also, you can take the help of our official college predictor which will help you in finding the best matched colleges according to your rank and score. The link of the predictor is mentioned below:

https://engineering.careers360.com/jee-advanced-college-predictor?utm_source=qna&utm_medium=jee_adv_cp

And, certainly you can get the admission in any preparatory course.

Hope this resolves your query.