Hello Sravani

As your Ranking is 10676 in AP ICET you can get college in many places that depends on which area you want to choose. 

As the most important is that you want to go with MCA or MBA.

If you want to go for MBA then here is a list of college  with their cut off you can apply for

• Vishnu Institute of Technology in West Godavari- Andhra Pradesh  -                Last Rank 10833
• R B V R R College for women in Hyderabad -                                              Last Rank 11217
• Gudlavalleru- ENGINEERING college  Last Rank- 11321
• Avanthi Degree & PG college-              Last Rank 11552
• Malla Reddy Institute of ENGINEERING and Technology in Dhulapally -            Last Rask 11787
• St. Martin Institute of Business Management  in Dhulapally   -                    Last Rank 11968

If Going for MCA then Here is a list of Colleges and their cut off 

• Telangana University in Nizamabad  -       Last Rank 12720
• O U PG college, Secunderabad  -               Last Rank 12917
• Sri Vidyaniketan ENGINEERING College - Last Rank 14058
• Padmasri Dr. B.V. Raju Institute  of COMPUTER Edn. In W.G. District-               Last Rank 17039
• Sri Venkateswara Coll. Of Engineering & technology  in Chittor District     -              Last Rank 29537
• Dr. BR Ambedkar University  in Srikakulam -                                                 Last Rank 30198

Remember these the college having nearest cut off as per your Ranking but there are many more colleges too. These are the best I could find.

I hope this answer should help you 

Regards by Career360