Hope you are doing absolutely great.

So with regard to your query, as you scored 60 marks in the APEAMCET according to the previous year cutoffs of the EAPCET your rank will range between 5k to 15k. In Andhra Pradesh the intermediate marks have 25% of weightage and the merit scored in EAMCET will have 75% weightage, basing upon this your rank varies.

Your score is really good in the intermediate board exams, so you can apply for the universities like Sastra, LPU, BMSIT, Amity etc.,. These colleges provide the admission basing upon the marks scored in intermediate board exams.

Checkout this link for any information regarding the APEAMCET marks and rank: https://engineering.careers360.com/articles/ap-eamcet-marks-vs-rank

Hope this helps you!!