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After Diploma in mining engineering, it will be very difficult to say that what type of jobs you will get. But after B.Tech or M.Tech you can get a wonderful job.
After pursuing Masters courses related to mining engineering (ME, M.Tech or M.Sc.), one may take up teaching job (lecturer or instructor) at relevant technical education or engineering institutes. After completing advanced courses like Ph.D, one may even build a career in the R&D sector associated with the field of mining engineering.

Yes, you are eligible to take the admission in NBN SSOMS.