CAT

Above 60 percentile is fine to apply. Final selection is based on overall academics / CAT score and PI.

At 73%ile, none of the B-school call unless someone belongs to reserved category.

You can try but I think this score is not sufficient for this college.

For logistics and SCM, symbiosis has a college in SCM in Nasik but it would be better if you prepare for MH CET and keep it as back up. I hope this answer will help you.

All top MBA colleges require that you take at least one competitive exam like CAT, XAT, SNAP, MAT, GMAT, etc. There may be some courses which accept students without any of these exams but then they may not be competitive.

Dear Indraja Naik,
CAT normally got three stages of preparation: first, you should start your own preparation first by getting material that is available in the market. Second, you should go for some excellent coaching center, third stage is to solve old papers.
All the best.

Yes, you can get admission. Have you applied to other colleges? You can also get admission in better colleges

Dear Aayu Patel,
Hyderabad and Jaipur are the best locations for CAT preparation. Prefer famous coaching centres like TIME, IMS, Career Launcher etc. along with other institutions. All the best.

Yes, its worth every penny. The level of faculty, interaction with peer group and learning is unparalleled in India. Hence, its worth it.
Do understand that unlike other government institutes (read IITs/NITs), IIM's do not take any form of monetary support from government. Hence, the complete expense of the education is born by the students itself rather than the tax-payers of India.