In what follows "the test" means the NBHM Doctoral Scholarship Written Test scheduled for Saturday, 25 January 2020.
Question: Is there a syllabus for the test / subsequent interview?
Answer: No. NBHM does not publish a syllabus. Question papers from the previous years along with keys are available on the official NBHM website and also on this repository. These however should be taken with a pinch of salt: the pattern and difficulty of the test are subject to change without any notice whatsoever.
Question: I am interested in joining the PhD / integrated PhD programme in
mathematics of IMSc in August 2020. Should I write the test? (This answer applies in particular to students in the 3rd year of their BSc programmes aspiring to join the integrated mathematics PhD programme at IMSc and other institutes mentioned in the answer that follows.)
Answer: Yes, you MUST write the test, for it is also the entrance test for IMSc's PhD and integrated PhD programmes. The test scores are used also by other institutions, HRI, IISER Mohali, IISER Pune, and NISER among them, for screening applicants to their PhD / integrated PhD programmes. Each institution draws up its own shortlist of candidates to be called for interview based on the test scores. Also, some institutions may use various alternative criteria (such as CSIR-UGC NET scores) to shortlist candidates for interview. For more information, you are advised to source it directly from the institutions. [NBHM is involved in these programmes only to the extent of providing the test scores. It takes no further part or responsibility.]
Question: I appeared for the NBHM Doctoral Scholarship written test last year but didn't qualify for the interview (or didn't qualify in the interview). Can I take the test again this year?
Answer: Yes, provided you are eligible this year too. (See the section "Whom is the test for?" in the advertisement for the eligibility criteria.)
Question: Is the cutoff for the interview dependent upon the zone or uniform throughout the country?
Answer: The cutoff on the test (for selection to the interview stage) is the same across zones. Interviews will be held separately in each zone for the candidates in that zone who meet the cutoff.
Question: I am in my 2nd year of a PhD programme in Mathematics. Am I eligible for the scholarship? Can I appear for the test?
Answer: Yes, you are eligible for the scholarship and are welcome to appear for the test. However, be advised that the fact that you are already in the 2nd year of your PhD programme will be a taken into account in the final decision of award of the scholarship.
Question: I completed the requirements for a masters degree in Mathematics in August 2019, but I do not have my official degree yet. Am I eligible for the scholarship? Can I appear for the test?
Answer: Yes. Not having the formal degree in hand at the time of the test or of the subsequent interview is no disqualification.
Note: Lest that the answers given below on eligibility be misinterpreted, let us mention once and for all here that qualification in the test and subsequent interview is a precondition for grant of the NBHM Doctoral Scholarship.
Question: Can I qualify for the NBHM Doctoral Scholarship this year but defer
availing it until next year or later?
Answer: No. The qualification cannot be deferred.
Question: I am registered in a part time PhD programme. Am I eligible for
the NBHM Doctoral Scholarship?
Answer: No. Those registered in part time PhD programmes are NOT eligible.
Question: I am enrolled in a PhD programme in Mathematical Finance.
Am I eligible for the NBHM Doctoral Scholarship?
Answer: No. The scholarship is only for pursuing PhD in Mathematics / Applied Mathematics.
Question: I have a masters degree in Physics (or some other degree) but want to pursue a PhD programme in Mathematics.
Am I eligible for the NBHM Doctoral Scholarship?
Answer: Yes, very much. It does not matter how you qualify for the PhD programme in Mathematics / Applied Mathematics. A bachelors / masters degree in mathematics is NOT a precondition for eligibility.
Question: I am enrolled in an integrated PhD programme in mathematics which
leads on the way to a masters degree. Am I eligible for the NBHM Doctoral
Answer: Yes and no. You are eligible during the "PhD part" of the integrated programme. In other words, you are eligible only after receipt of your masters degree (or suitable certificate) as part of the integrated PhD programme.
Question: Can I hold a CSIR-UGC NET Scholarship as well as a NBHM Doctoral
Answer: No. Generally, only one scholarship is tenable at a time.
Question: Suppose I get selected for the NBHM Doctoral Scholarship. Can I
use that to get admission in some PhD programme in Mathematics?
Answer: Getting the scholarship and getting admission to a PhD programme are two separate things. Being selected for the scholarship does not in itself guarantee admission to any PhD programme (at least not that we know of). Having said that, being selected for the scholarship does seem to increase one's chances of getting admission to PhD programmes. In fact, many institutions insist on a selection to some national scholarship (such as the NBHM) as a precondition for admission to their PhD programme.