Jamshedpur

The cost is very high in Bangalore. You can apply for NIT – Jamshedpur. You can also opt for JCECE - Jharkhand.

NIT Jamshedpur is a top engineering college in Jamshedpur based on its All India ranking.

Coaching institute is a good option for preparing CAT entrance exam and other MBA entrance exams. They will definitely guide you in a proper way. Career Launcher do have good reputation for CAT preparation and its test series is also challenging.

Hi,
It is really not important from which location you want to study, but is your coaching that matters.
If one choice from the above places- Go for Ranchi-
Coaching preference- While T.I.M.E without doubt has more number of students enrolled in the country yet there are so many regions where it has

Yes, you can join classes there. There might be some centres of TIME or CL. However, classes only provide the baseline for CAT preparation. Rest is completely your own hard work.
All the best.

Jamshedpur is certainly good.

TIME, IMS and Career Launcher are the best coaching institutes for CAT.

I would prefer Ahmedabad because there are lots of centers to prepare for CAT. But, try to endeavor in time.