Hey Nilanjan

65.67 percentile is very less.

34.33 percent students score more than you .You can calculate your approx rank by formula

[100-total score]*total students/100

in your case it is nearly 3 lakh which is not sufficient to get NIT even it may not be enough to get qualify also.

you need a lot of improvement.

good luck

Hello nilanjan
As for now it's very difficult to say the rank based on percentile as it will depend on the number of students giving the exam..Still you can use the formula rank =(100-percentile)*874469/100 
This rank is subjected to change based on the april session and hence is not final.You can predict your rank based on this and also some colleges.Right now it's very difficult to say the cutoff for different NITs.Hence,you have to wait till april or based on this rank ,you can predict colleges at https://engineering.careers360.com/jee-main-college-predictor

Good Luck!