Hello student cut off vary every year on various factors like level of question in examination seats available and total nunumber of applicants in the entrance examination. With 86.88 percentile your rank must be around - 152612.

With this rank its difficult to get admission in any NIT's as we all know that seats are very limited and admission is directly based on merit rank.

I request you to please help me your category so that I help you more.

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

Feel free to comment if you've any doubt

Good luck