EA games have jobs in Finance, HR and all departments that are normally present in every company. By your query I am assuming you are interested in developing games and such. For that you need to know how to code, scripting, animation design, 3D modelling etc. Computer Science or IT degree with animation design should be the normal path to take. NID offers M.Des in animation design while a B.Tech in CS or IT is offered by most engineering colleges.
check this first to decide what kind of job you wish to take and then move to the courses and colleges accordingly - https://www.ea.com/careers/careers-overview
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