CAT

The criteria for CAT is 60 percentile. Try applying with your XAT/MAT scores.

The eligibility criteria for OBC students is 85 percentile overall with no sectional cut-offs.

It is a very good score, though you won't get calls from top 5 IIMs. You can still get calls from other IIMs, you can wait for them or you can apply for colleges like BITS - Pilani, SP Jain, etc.

Yes, from this year onward sectional cut-off scores will be considered before shortlisting for WAT/PI process.
An 80 percentile in all three sections and an aggregate of 90 percentile will be required by a general candidate to receive WAT/PI call.
To know more about the shortlisting criteria for other categories, please visit this link -
http://www.som.iitb.ac.in/joomla/index.php?option=com_content&task=view&id=450&Itemid=60

With that score, you won't get call from any IIMs. So, you can apply for colleges like:
1. AIMS.
2. BITS – Pilani.
3. TAPMI.
4. SP Jain.

With this percentile, you have a very thin chance of getting calls from IIMs. So, you can apply for other reputed colleges like:
1. BITS – Pilani.
2. SP Jain.
3. Welingkar.
4. TAPMI.

With this percentile, you will not get any IIMs. You can apply for other colleges like:
1. BITS – Pilani.
2. SP Jain.
3. TAPMI.
4. Welingkar.

There are very thin chances to get a call with this score.

You can look for -
FORE-Delhi, NIRMA, IIT-Madras, IIT-Kharagpur, K J Somaiya, UBS-Chandigarh, IMI-New Delhi, LBS-Delhi and BIM-Trichy.

There is no campus of SP Jain outside Mumbai and it does not accept MBA CET scores. For CAT, the cutoff percentiles goes: 70 sectional and 85 overall.