What is the chance of non engineer female with excellent academics into IIM ABC?
Or top colleges
It depends on your percentile, essentially. If your profile is great, then no reason why you shouldn't get a call at 98+ percentile in CAT.
Excellent academics can definitely add to your advantage while getting shortlisted for IIM Calls. Also, given you are a non-engineer, that will add extra points. But, the most important thing to get a call from any of the good BSchools is clearning the sectional cutoffs as well as having a good enough overall percentile. So your chance ow depends completely on your sectional ad overall percentile. Give that your best!