hello aspirant,

As of now its tough to say because the analysis and also cutoffs change every year due to many factors like total students appearing for exam,difficulty level of paper etc .but based on previous year analysis we can help you with your query  95.67 percentile,based on previous year analysis would fetch you a rank around 44296-49795.ews rank would be around 7k-9k .with this percentile you have low chances to fetch nits.however you can try to improve your score in upcoming jee sessions.to get a personalised report on what all choices you have for your rank refer to:

now note that each year these cutoffs change and if they change,your chances into colleges also may change.

hope this helps,

thankyou.