According to this years cutoff you cannot get a seat in mechanical engineering at manit bhopal and for that matter  you might not get a seat in any branch as you rank is very high and the cutoff for manit is about 1.6 lakh that too for civil engineering but you can sit in spot round and see how things unfold but yes you can use this link to predict your college

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer