What is the minimum percentile to score in CAT exam to get calls from any of the IIMs or other top colleges like SPJIMR, XLRI, Symbiosis?

 If you are targeting to join IIM Ahmedabad, then you should aim for a score above 90%ile in CAT. Getting a call from IIM A means getting a call from any other IIM, and the institute has admitted OBC candidates with scores as low as the 80 percentile. So, you shouldn't have any trouble if you score above 90%ile.

For XLRI, you need to score 96%ile or above (at least 95%) in the XAT.

SPJIMR considers both CAT and XAT scores. If you score 90+ percentile in CAT and 95+ percentile in XAT, you should get a call from them as well.

In summary, if you manage to score over 90 percentile in CAT, then, as a female OBC candidate, you can almost be assured of getting into a top IIM. You don’t even need to consider institutes like XIMB or Symbiosis. However, you still need to perform well in GD/PI/WA to secure admission.