Hello Aspirant,
Seeing at the details that you have provided which includes your AP EAMCET score and IPE scores, your overall score comes to be 77.40 as you have told.
And, therefore, seeing and considering the previous years cutoff trends of AP EAMCET examination, your overall rank would range from 1000 to 4000.
Whereas your category rank would depend upon the no. of students who have applied of your category, overall applications of students of all categories, etc.
So, it is difficult to say your range of category rank.
Hope that helps. Good luck
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