Hello Piyush,
The BITS Pilani gym is pretty big, built in by combining many medium-sized rooms into a large arena kind -of a space. There are separate rooms for a different kind of physical activity, like strength training, cardio training, weights, etc. And it is very cheap.
I won't be able to tell you about any place for relaxing as it varies from campus to campus but surely they have a pretty big campus in all the locations.
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