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Hi, The best option is Indian Engineering Services conducted by UPSC. After civil services, this is the most sought career. Yes, you are eligible for Indian Civil Services too but that won't utilise your engineering background. A combined three-stage competitive examination (comprising five tests), called the Engineering Services Examination (ESE) is conducted by the UPSC for recruitment to the Indian Engineering Services. IES remains to be the most sought-after careers for the engineering graduates in India.
Minimum educational qualifications:
Obtain a degree in engineering from a university incorporated by an act of the central or state legislature in India or other educational institutions established by an act of Parliament or declared to be deemed as universities under section-3 of the university grants commission act, 1956 or passed Section A and B of the Institution Examinations of the Institution of Engineers (India) or obtained a degree/Diploma in engineering from such foreign University/College/Institution and under such conditions as may be recognised by the Government for the purpose from time to time or Passed Graduate Membership Examination of the Institute of Electronics and Telecommunication Engineers (India)orPassed Associate Membership Examination Parts II and III/Sections A and B of the Aeronautical Society of India or Passed Graduate Membership Examination of the Institution of Electronics and Radio Engineers, London held after November 1959
To summarise, you are eligible. you have appeared for prelims, main and then for the interview. The whole process takes around a year to complete.