Hello,
To choose between IITs and BITS Pilani is a tough choice since both are among the finest colleges in our country which produces few of the most talented minds across the country.
Now as per your rank you'll be eligible for lower branches in newer IITs and for that reason I'll recommend you to choose BITS Pilani. IITs do have a really great market value but studying with lower branches will leave you with less job opportunities. The IIT tag won't be of much use if the course you studying isn't relevant for you. On the other hand you can pursue EEE in BITS Pilani which is also a really famous institute and you'll study something more relevant to you.
So I'll recommend you BITS Pilani instead of lower branches in new IITs.
Hope this helps.
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