CAT Scores

You will need upwards of 99.6 percentile for getting a call from IIM A (Assumption: You are a GEM & you have 90%+ in 10th/12th & 85%+ in Grad). In case you do not satisfy the percentage criteria provided above, the percentile requirement for a call will be higher.

With that score in CAT, it's impossible to get admission into a good B-School. Such B-schools are famous for neither for their reputation nor for their placements. The cutoffs of all top B-schools accepting CAT have their cutoffs above 95 percentile. Better repeat for CAT next year (or other exams if you wish) rather than wasting both your precious time and money.

Admission in IIMs /FMS / IIT depends a lot on the score you achieve at CAT. The institutes mentioned by you are among the top ranked ones and to seek admission in any of them, you should air for scoring at least 98+ percentile score at CAT and also, do well at the Personal Interview for seeking admission.

If you want to go in good B-School then it is must to give the above mentioned examinations.

It depends from one IIM to other. You must have above 96 %ile in CAT to get admission in top IIMs. It also depends upon your category if you are in reserved category.

There is only one XLRI and the same is in Jamshedpur I wonder from where you got XLRI Chennai and Bangalore.

But they have already closed the applications for MBA.

To get a call from an old IIM, your focus should be on getting above 95% marks in CAT with sectional cut of around 80 percentile.
If you belong to reserved category, you can receive 80 percentile, then you can perform well at GDPI also.