Hello Siddhartha!
The eligibility criteria is a set of guidelines which a candidate should fulfill if he/she wants to apply for an examination. In case of the National Entrance Screening Test(NEST), the eligibility criteria in terms of educational qualification states that the candidate should have passed class 12 or any equivalent examination from any recognized board from Government of India. Now, BBOSE ie Bihar Board of Open Schooling and Examination is a recognized board from Government of India and the certificates from the board are valid and are applicable anywhere, so you need not worry about it. In addition to it, the candidates who are awaiting their results can also apply for the test but the candidates who have passed class 12 must have passed it with at least 60% from regular Science stream for general category students and 55% for SC/ST and PwD category students.
Hope this helps.

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