Got 72% in 10th, 66.20% in 12th, 60% in grad so can i do mba/pgdm from top institutions like mba , xlri etc?

With such a ascore its difficult to get in top b colleges like XLRI.However you can go for LPU .It is much better than the other colleges.MBA from LPU is rewarding since you get quality education with an innovative updated rigor here at reasonable cost and unbeatable placements.Moreover, The Business School of LPU is accredited from ACBSP, Accreditation Council for Business Schools and Programs from the USA ensuring quality education and industry experienced faculty members, studying in LPU will get a degree accredited from a body of USA.MBA packages at LPU has been worth 37 lacs per annum at the highest till date.

Hello,
The top institutions for MBA are the IIMs. Unfortunately, besides the CAT score, all IIMs consider the academic history of a candidate to some extent. So, you have chances, but not much. You will have to score really well in the CAT.
You have good chances at XLRI Jamshedpur. Also, you have good chances for other top colleges like FMS Delhi, provided that you score well in the entrance exams. Good luck!