MBA Entrance Exam

Absolutely yes, if you score 90% in CAT or XAT you can get admission in mentioned college.
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You need to complete your graduation (UG) with at least 70 percentile, so that you are eligible for CAT. All the best.

The admission are not yet over for MBA, few management seats are yet left. Got to know from one of the references. You can get in touch with the college officials. https://www.shiksha.com/university/christ-bangalore-421.

Whether you are eligible for MBA or not, depends on the eligibility criteria set by the college. Yours is a very good score, opt for the colleges which accept ATMA scores. I hope you find this information useful. All the very best for your future endeavours.

You can find an exclusive list of colleges offering MBA within the prescribed range at https://www.shiksha.com/mba/colleges/mba-colleges-india?ts=81984659&rf=filters&fe[]=f2&ed[]=et_20
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You can definitely get into FMS if you do well in your GD, PI and Extempore rounds also.

No, you cannot get into FMS-Delhi with CMAT score. FMS Delhi accepts only CAT score.

There is no such percentage required for writing CAT. However, if you want to go for good B-Schools then they keep a criteria of 60%+ throughout.

The safest percentile would be 95+ for you to get into IIMs.