Dear Sir / Ma'm, if you want to go for a college in Rajasthan then the only way for that is to apply in the 15% All India Quota Counselling. According to the trends of 2018, you can expect the following colleges in UP :

Sarojini Naidu Medical College

Motilal Nehru Medical College, Allahabad

Lala Lajpat Rai Memorial Medical College

Maharani Laxmi Bai Medical College, Jhansi

Baba Raghav Das Medical College, Gorakhpur

U.P. Rural Institute of Medical Sciences & Research, Etawah

Government Medical College, Ambedkarnagar

Government Medical College, Kannauj

Government Medical College, Azamgarh

Government Medical College, Saharanpur

Dr. Ram Manohar Lohiya Medical Institute, Lucknow.

Dear Eshwa, in 2018, under State Quota, 469 marks.secured a seat in Dr. Ram Manohar Lohiya Medical College under General Category. That was the cut off. With 558 marks, you have fair chances of getting a Government Medical College. And regarding  applying for other Staye's Counselling, it is strictly confined to candidates who hold domicile of that particular State. Other State candidates cannot participate in non domicilr State's counselling. You can only participate in 15% All India Quota seats whose cut offs are usually higher. Having said that, cut offs change every year and are dependant on various factors like no.of seats availble, no.of candidates appearing for the exam, top NEET score and difficulty of the exam. You can check the cut offs of various colleges at: https://medicine.careers360.com/articles/neet-cutoff-up/amp
You can also use our College Predictor services to check your options:
https://medicine.careers360.com/neet-college-predictor?utm_source=google-search&utm_medium=paid&utm_campaign=neet-clgpd

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