Hey Nikhil,
Hope you are doing well !
To answer your question, NO. All the students of premier B-schools in India do not have the above criteria. Though they are preferred, but what all the students have is a good profile, with good academics, and good co-curricular and extra-curricular.
Also, having work-ex is not mandatory, though it would help you is B-schools.
Hope my answer helped you. Please let me know in case of any further queries.
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