REAP

Dear Lavish, check the link below to know the colleges you can get with this rank
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.
In case you don't get your desired college, don't settle for something mediocre. Instead of settling down for some mediocre college, it would be bette

Hi,
Yes you can go for Rajasthan Government Engineering College and Malviya National Institute of Technology. Thank you and best of luck.

Yes, there will be a REAP exam, details below :
https://www.shiksha.com/b-tech/exams/reap.

Yes, there are chances that you can get a seat. As there are so many seats in REAP. Every year, many seats remain vacant. All the best.

There is no such exam in REAP. Admissions are directly based on JEE Mains and 12th percentage. Don't worry about that. Prefer MBM, Jodhpur!

That would be also from Rajasthan if you have substantial proof of your residing in Rajasthan namely Domicile Certificate, Electricity Bill, Water Bill.

If you can't clear your JEE Mains, then try for off campus counseling and some of private colleges only see your academic performance in class 12th. Best of luck.

No, there is no special exam for that. REAP only do counselling on the basis on JEE scores.