Hello Irin,
Yes you can get good colleges with 66 percentile.
As you know cat results are out and I know the fact that you have a concern regarding your percentile. You might be suspicious about getting a good college. Don't worry my friend there are many top b schools who give admission to students over 60 percentile. Colleges like IBS business school, doon business school and many more.
I am giving you one link. Please check that out for more information regarding colleges at this percentile.

https://www.google.co.in/amp/s/bschool.careers360.com/articles/where-can-i-apply-60-percentile-in-cat%3famp

I wish you all the best.

Cheers !!

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