Hey Palak,
Just to be on the same page as you, there is nothing as BITS Dubai, it is actually BITS Pilani, Dubai Campus.
Now as a brand BITS is much superior to VIT in all respect.
BITS is one of the if not "the" best private Engineering College in India.
Here, I am obviously not talking about the Dubai Campus as it is relatively new but the very fact it coming under the umbrella of BITS, give it ample weight.
The Admission is via merit only - all Students have to take the BITSAT Examination. There is no Quota seats for Management or SC/ST/OBC.
VIT on the other hand has many Management quota seats and hence it impacts the Quality of intake.
There are ample number of features which are compared when we declare a college better than the other. However, in this regard, BITS Pilani Dubai Campus is a clear winner in almost all the aspects.
Hope that helps and do choose wisely :)
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