Hello Aspirant,

Seeing your details of each examination, you have very good chances of getting admission in good NITs, IITs and BITS colleges.

BITS is a private college but has a very good education quality and relevant no. of placements. But , it's fees is relatively higher than that of other colleges, which makes it one of its drawback.

Now, seeing and coming to NITs and IITs , these are the best engineering colleges in India owing to its beat education, it's placement and also affordable fees for the candidates those want to take admission into it.

For more information and details about the college , you may have a look at the following article,

https://www.careers360.com/university/birla-institute-of-technology-and-science-pilani

https://www.careers360.com/colleges/bits-pilani-hyderabad-campus-hyderabad/amp

You can also refer the official website for extra details like fees structure and placements.

Now, for NIT and it's cutoff, you may have a look at the articles given below,

https://engineering.careers360.com/colleges/list-of-top-nit-colleges-in-india

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

And for the IIT and it's cutoff trends, you may have a look at the articles given below,

https://engineering.careers360.com/colleges/list-of-top-iit-colleges-in-india

https://engineering.careers360.com/articles/jee-advanced-cutoff-for-iits

Hope that all the information about the NITs, IITs their cutoff trends and  BITS colleges help you to take the correct decision. Good luck