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NBHM Master's and Doctoral Scholarship Schemes

• NBHM is happy to announce that the monthly stipend for the Doctoral Scholarship has been revised upwards to ₹ 37,000 (for the first two years) and ₹ 42,000 (for subsequent years) with effect from 01 January 2023. (The corresponding amounts ₹ 31,000 and ₹ 35,000 mentioned in the advertisement stand modified.) HRA is payable in addition as per GoI norms, as mentioned in the advertisement.
• Applicants are advised to follow the instructions carefully in filling out the application form.    Some of the fields are to be entered in a specific format,  as mentioned in the instructions.
• Anyone filling out the application is deemed to have agreed to the policy .
• Applicants are advised to complete their application well before the deadline in order to allow time for resolution of technical issues that might arise during the application process.
• For admission to the PhD and Integrated PhD programmes at HRI, IISERs (Berhampur, Mohali, Pune, Thiruvananthapuram), IMSc, KSoM, and NISER based on the NBHM test scores, applicants are advised to source the information directly from those institutions.
• An important NOTE for applicants aspiring for admission to the PhD / Int. PhD programmes at IMSc: Unlike in previous years, an application to write the NBHM test is not enough. Applicants must apply separately on IMSc's application portal (scheduled to open "by the middle of December").

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NBHM 2024: Application Form, Exam Date, Syllabus, Eligibility Criteria

Updated on - Sep 11, 2024

Table of Contents

NBHM Ph.D. 2024 Exam Date

Nbhm ph.d. 2024 eligibility criteria, nbhm ph.d. 2024 application form, nbhm ph.d. 2024 exam centres, nbhm ph.d. 2024 exam pattern, nbhm syllabus 2024, nbhm ph.d. 2024 admission result, nbhm ph.d. 2024 counselling, how to prepare for nbhm, nbhm ph.d. 2024 scholarship, nbhm ph.d. helpdesk.

NBHM 2024 exam notifications will soon be announced on the official webpage. The NBHM online applications are expected to commence from Nov 2024 - Second Week . The National Board for Higher Mathematics (NBHM) invites applications for NBHM Ph.D. Admission. Interested candidates must prepare the entire NBHM syllabus and appear for the Joint Screening Test for Admission and Scholarship for Ph.D./Integrated Ph.D. Programs.

NBHM grants scholarships to students for pursuing research for a Ph.D. Degree in Mathematics. Eligible and qualified candidates will be admitted to the Harish-Chandra Research Institute (HRI), Allahabad, the Indian Institute of Science Education and Research (IISER), Pune, and the Institute of Mathematical Sciences (IMSc), Chennai.

About NBHM?

The National Board for Higher Mathematics (NBHM) was founded by the Government of India under the Department of Atomic Energy (DAE), in the year 1983, to foster the development of higher mathematics in the country, to formulate policies for the development of mathematics, help in the establishment and development of mathematical centres and give financial assistance to research projects and to doctoral and postdoctoral scholars. NBHM functions essentially autonomously framing its own budget taking into account the funds made available by DAE.

NBHM undertakes various activities to identify and nurture talent among students and supports studies at various levels through scholarships and fellowships, etc. NBHM also has a series of programs to train students in mathematics.

NBHM usually meets twice a year, to discuss its programs and various proposals received from its board members as well as from mathematicians all over the country. It has six sub-committees, namely the Research Programmes Committee, the University Programmes Committee, the Mathematics Olympiad Programmes Committee, Nurture Programmes Committee, Examinations Committee, and Library Grants Committee.

NBHM Proposals

NBHM Authority considers proposals, throughout the year, for financial support for varied mathematical activities, from institutions and individuals. Decisions of NBHM are based on the recommendations of these committees. NBHM normally provides financial support only to Indian nationals and institutions. Currently NBHM grants postdoctoral fellowships, Ph.D. scholarships, M.A./M.Sc. scholarships for research/education in mathematics.

NBHM Financial Support

NBHM provides financial support to the Mathematics Olympiad activity, run in collaboration with the Homi Bhabha Centre for Science Education, for students at the junior college/high school level. NBHM provides financial support for holding conferences/seminars/workshops and instructional schools. Granting financial support to libraries of mathematics departments of universities and research institutions in the country is one of the major activities of NBHM.

NBHM Grants and Scholarship

NBHM gives out grants and scholarships for deserving candidates at undergraduate, graduate, and Ph.D./Research level in the field of higher level Mathematics. Candidates who wish to pursue their Ph.D. can apply for the NBHM Exam. Upon selection, candidates will receive a scholarship/stipend for the five years of their research period. NBHM grants various funds and allowances for a Ph.D. fellow such as Library Grant, Conference Grant, Project, and Travel Grant among others. Candidates can go to the official website of NBHM and apply it to the exam if they fulfil the NBHM Eligibility criteria. More information about the NBHM Exam can be found below.

Some of India's top Research Colleges consider NBHM Score/Certificate while providing Admissions in their Ph.D. programs. The regular colleges are IISER Pune, IISER Mohali, NISER, HRI, IMSc. 

The NBHM Exam is conducted in 5 zones across the nation. Each zone has 4 to 5 exam centres. Candidates who belong to a particular zone get to appear in the centres for exam and interview round of that zone. These zones are divided geographically; north, south, east, west, centre. The list below is the zone-wise segregation of exam centres.

• Zone 1:  Chandigarh, New Delhi, Srinagar (North Zone)
• Zone 2:  Indore, Jabalpur, Prayagraj, Raipur (Central Zone)
• Zone 3:  Goa, Mumbai, Pune, Vallabh Vidyanagar (West Zone)
• Zone 4:  Bhubaneswar, Guwahati, Kolkata, Ranchi, Shillong (East Zone)
• Zone 5:  Bengaluru, Chennai, Cochin, Hyderabad (South Zone)

The dates of all important exam events will be updated in the table below as per the official notification released on the official webpage. At present these are the tentative dates for various events for NBHM 2024 Exam.

Applicants for the NBHM Ph.D. scholarship must be mathematically motivated and hold a master's degree in (pure or applied) mathematics or statistics or must be final-year students of these degree courses. They must have a good academic record first class or equivalent grade in all years from the Plus Two level to the present.

Educational Qualification

• Students have passed a B.Sc.(Honours) course with a second class may also apply, provided they have a master's degree or are in the final year of the same.
• Students holding a four-year B.S. (or equivalent) degree, or those in the final year of such a program, may also apply, but they are eligible to receive the NBHM scholarship only if they secure admission to a recognized Ph.D. program by August 2024.
• Students who wish to apply for the Ph.D./Integrated Ph.D. programs of HRI, IISER, Pune, IMSc, or NISER must apply and appear for the written test.
• For this purpose, apart from the students mentioned earlier, students holding a B.Sc /B. Stat/B.S./ B.Tech / B.E degree, or those in the final year of such degree courses, with a consistently good academic record from the Plus Two level as mentioned above, may also apply.
• Students for these doctoral programs need not apply separately to these institutions again.
• The eligibility is restricted to students who have completed their B.S./ M.A / M.Sc (or equivalent) degree and have secured admission to a recognized Ph.D. program on or before August 2024.

There is no upper age limit for NBHM. While there is a consideration of educational qualification only.

NBHM Applications are to be made on plain paper as per the format given in the official notification. The filled-in application form for NBHM Ph.D. Admission 2024 should be sent along with a recent passport-sized photograph and a self-addressed envelope to the official address.

Important Notes:

• NBHM Applications for Zone 1 will only be accepted online.
• Hard copies of NBHM applications will not be entertained in Zone 1.
• The application fee for applications completed on or before Dec 2024, will be INR 500.
• For NBHM applications completed after Dec 2024, the application fee will be INR 650.

How to Apply for NBHM Ph.D. 2024

• Step 1 - Registration: The candidates are required to register on the portal and create their profiles using a valid email address.
• Login to the portal with your registered email address and password (created in Step 1).
• Fill out some details about yourself and also the choice of the zone.
• After confirming the correctness of the entries you made, you will be led through the fee payment process.
• Once the fee is paid, an application number will be generated.
• You will be able to download a receipt-cum-pre-admission-ticket.
• The receipt-cum-preadmission-ticket will also be sent to the registered email.
• Make two photocopies of the receipt-cum-pre-admission-ticket.
• Produce two original copies of the admission ticket as follows.
• Paste a recent, colour photograph of yourself in each photocopy and complete the postal address for correspondence and enter your roll number and sign.
• To find your roll number, you have to wait until the centre-wise lists of candidates are published.
• You can find your roll number by looking up the entry for your name.
• Carry both original copies of your admission ticket to the test centre.

The written test will be conducted at the following centres, divided into categories with respect to their different zones. The exam will be an offline based exam. The details of the exam centre will be written on the NBHM Admit Card. Candidates are requested to locate the exam centre at least a day before, to avoid any last-minute hassle. Candidates need to take a valid photo Id with them for verification at the exam centre.

NBHM Candidates have to appear for a written test. The NBHM test will have questions based on topics normally covered in Master Degree Programs in Mathematics. The NBHM test will be of 150 minutes’ duration. There will be short answers questions in NBHM Test. Based on the performance in the NBHM written test, candidates will be shortlisted for an interview before the final selection. Some earlier-year question papers will be available on the NBHM website and on the IMSc website.

Since this is a Ph.D. Course, the NBHM syllabus is not well structured and predefined, instead, it covers topics from UG and PG levels of Mathematics. The question paper is divided into three sections. To know more about the outline of the NBHM syllabus and its sections check below.

Section A: Algebra Syllabus

NBHM Algebra syllabus covers multiple subtopics as mentioned below:

• Abstract Algebra
• Set Theory 
• Binary Operations
• Matrix Theory
• Groups Algebra
• Rings and Fields
• Polynomials (Calculus, Matrix Polynomials, Roots)

Section B: Analysis Syllabus

Mathematics - Analysis Syllabus covers majorly three sections such as Complex; Functional; Real. Candidates are suggested to cover these topics thoroughly, as they are vast. Below mentioned is the section B NBHM Syllabus in detail:

Complex Analysis Syllabus

• Polar Coordinates
• Poles and Residues

Real Analysis Syllabus

• Sequence and Limits
• Metric Spaces
• Series (Infinite Series Expansion, Taylor Series Expansion)

Functional Analysis Syllabus

• Continuous Function
• Maxima and Minima
• Differential Function
• Defining Function

Section C: Geometry Syllabus

NBHM Geometry Syllabus contains mainly two sub-topics. Check below to know more: 

Plane Algebraic Syllabus

• Elliptical Curve
• Cubic Curves
• Spheres (3D Shapes)

Algebraic Geometry Syllabus

• Cartesian Coordinates

The results of NBHM admissions will be published on the website. It usually does not release individual results, instead, a merit list with the names of selected candidates is published. Follow the steps mentioned below to check the NBHM Results:

• Step 1: Visit the NBHM website.
• Step 2: Check for the notification of NBHM, and click on it.
• Step 3: Click on the link of your Zone.
• Step 4: Check your name, if selected then take a print of it.

NBHM 2024 Counselling schedule will be released soon on the official webpage. One very important factor to note here is the fact that the NBHM has very limited seats hence the competition is tough. Post results, candidates will receive a call for admission and further process such as Document verification. As an NBHM candidate, you must be prepared with all your necessary documents.

Institutions (IISER Pune, IISER Mohali, NISER, IMSc, and others.) that will consider NBHM Scores for admission will publish their own admission notification. NBHM will not post any Admission Notification. The candidates are advised to apply to these institutes separately, every college will have its own counselling process. The Counselling process will require Candidates to produce their Academic Record along with identification and Personal details.

NBHM test should be given the candidates who are willing to or already have devoted their lives to the field of Mathematics. The candidates who appear for NBHM face a strong competition as the scholarship and admission through this test is sought by candidates from all over nation, moreover the syllabus and difficulty level of exam is of proficiency level. Candidates are required to prepare and study the topics from post graduate and graduate level.

NBHM Previous Year Papers

Candidates can find NBHM's previous year question papers and mock test papers on the website of IMSC (Institute of Mathematical Science), which is the official body that hosts the exam. Preparation through mock test papers is the wisest step in order to secure good marks in the NBHM exam. To get the NBHM Previous Year Question papers, candidates have to go to the website of IMSC, then click on the NBHM Model Questions tab on the home page. A list of NBHM question papers and answer keys will appear. Candidates can click on the question paper link which will open in a new tab, in PDF form.

NBHM Interview Preparation

To prepare for the NBHM interview, candidates can refer to the mock interview videos available online. As per the feedback from previous candidates, it has been observed that questions apart from core mathematics syllabus are also asked, majorly to check a candidates' conviction and commitment for NBHM.

Successful candidates will receive a scholarship amount of INR 25,000 per month for the first and second year and INR 28,000 per month for subsequent years, a contingency grant of INR 32,000 per year, and house rent allowance as per central government norms wherever applicable.

The NBHM scholarships are normally for a period of four years, sanctioned for one year at a time, and renewable at the end of each year, subject to satisfactory progress. The enhanced amount of scholarship may be offered after evaluation by the Board at the end of the second year. If deemed fit, the scholarship may be extended for the fifth year at the discretion of NBHM.

To avail of the benefits of the NBHM scholarship, successful students must enroll themselves in a recognized Ph.D. degree program. The scholarship will be paid through the institution they join. Part-time research students cannot avail of the scholarship.

The following addresses are where the applicants can contact for clarification of doubts about their candidature and other procedures. The hard copies of their applications are also to be sent to the same addresses.

FAQs on NBHM

Q: What is NBHM?

A: The NBHM stands for National Board of Higher Mathematics. It was set up in the year 1983 under the Government of India to nurture the developments in the higher level mathematics and nurture talents.

Q: How to apply for NBHM Exam?

A: Candidates can check the official website of the NBHM from where they can apply for the NBHM Exam if they satisfy the eligibility criteria.

Q: How much is the NBHM PhD Scholarship?

A: Currently, the scholarship for the NBHM PhD is around INR 25000 for each month for first two years. Later it wil be INR 28000 for next three years after the work done by the candidate in first two years is reviewed. The NBHM PhD also has contingency grant of INR 32000 per year.

Q: How is the selection done for the NBHM PhD?

A: Candidates will evaluated based on their performance in the selection test followed by the performance in the interview. The selection will be done by the committee constituted by the NBHM.

Q: What is the application fee for the NBHM PhD Exam?

A: The application for the NBHM PhD Exam is INR 500 if payed before deadline. After the last date of payment candidates will have to pay INR 650.

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NBHM Model Questions

NBHM Scholarships for MA / MSc / integrated Masters students for the academic year 2019--20

NBHM MA/MSc Scholarship Tests - Old Question Papers and Keys

• October 2005               - Key Oct. 2005
• September 2006         - Key Sep. 2006
• September 2007         - Key Sep. 2007
• September 2008         - Key Sep. 2008
• September 2009         - Key Sep. 2009
• September 2010         - Key Sep. 2010
• September 2011         - Key Sep. 2011
• September 2012         - Key Sep. 2012
• September 2013         - Key Sep. 2013
• September 2014         - Key Sep. 2014
• September 2015         - Key Sep. 2015
• September 2016         - Key Sep. 2016
• September 2017         - Key Sep. 2017
• September 2018         - Key Sep. 2018
• October 2019               - Key Oct. 2019

NBHM PhD Scholarship Test papers & Keys

• June 2005                                                                    - Key June 2005
• February 2006                                                             - Key Feb. 2006
• January 2007                                                               - Key Jan. 2007
• February 2008                                                             - Key Feb. 2008
• January 2009                                                               - Key Jan. 2009
• January 2010                                                               - Key Jan. 2010
• January 2011                                                               - Key Jan. 2011
• January 2012                                                               - Key Jan. 2012
• January 2013                                                               - Key Jan. 2013
• January 2014                                                               - Key Jan. 2014
• January 2015                                                               - Key Jan. 2015
• January 2016                                                               - Key Jan. 2016
• January 2017                                                               - Key Jan. 2017
• January 2018                                                               - Key Jan. 2018
• January 2019                                                               - Key Jan. 2019

Information on Ph.D. Scholarships

For latest information and updates, please visit https://www.imsc.res.in/~nbhm/.

Students possessing Master's degree in mathematics, physics or statistics, and wishing to take up research work in any branch of mathematics (including mathematical statistics and mathematical physics) leading to a Ph.D. degree are eligible to apply for the Ph.D. scholarships awarded by NBHM. 

The selection of the scholars is based on academic records and the result of a Selection Test/Interview by a selection committee constituted by NBHM. 

Applications are invited through advertisements in leading national newspapers normally during the month of November every year.

The scholar is expected to do research work under an approved guide in an institution/university of his/her choice. Prior to joining an institution for doing research, the scholar is given a choice of joining some select institutions to take courses in mathematics, which will be helpful in a proper understanding of mathematics and consequently resulting in good research. 

The present rules and regulations governing the grant of Ph.D. scholarships are described below.

The scholarship is granted initially for one year and can be renewed for a period of up to five years, subject to satisfactory progress of the scholar. 

At present the scholarship amount is Rs.31,000/- per month for the first two years and Rs.35,000/- per month for the next three years after a review/evaluation of the work by the committee formed by institute/guide/supervisor, at the end of two years. The Ph.D. scholarship also carries a contingency grant of Rs.40,000/- per annum. 

Rules & Regulations Governing the NBHM Ph. D. Scholarships

The scholarship is tenable during course work at the specified institutions and during the period when the scholar works for his Ph.D. degree at any Indian university/research institution (other than DAE aided institutes) where the necessary facilities exist for undertaking research work in an approved subject chosen by the research scholar.

The scholarship is tenable for one year once the scholar starts on his/her work for the Ph.D. degree. It is extendable up to a total period of five years (not including the special training period of one year, if availed) for pursuing the Ph.D. degree in a university or research institution (not with DAE). The extension for subsequent years beyond the first year is subject to satisfactory progress, to be assessed each year by University/Department/Institution concerned. Extension for a fifth year after the start of the Ph.D. programme is given on the basis of a review of the scholar's work by NBHM.

The research scholar is entitled to stipulated leave as per the rules of the institution to which he/she is attached. However long leave with stipend will not be allowed.

If the scholar is not provided hostel/subsidized accommodation by the institution, House Rent Allowance (HRA) will be paid as per Government norms.

The Contingency grant can be utilised for the following:

• Purchase of stationery and books. Books purchased by the scholar, from the contingency grant are allowed to be retained by him/her.
• Library work.
• Travel inside the country for attending conference/lectures etc.
• Towards payment for computer time, laptop, tab and computer accessories (Please note that Purchase of printers/xerox machine is not permitted).
• Any other purpose specifically authorized by this department

The unutilized part of the contingency grant is allowed to be carried forward to the next year.

N.B.: NO REIMBURSEMENT CAN BE CLAIMED FROM THE CONTINGENCY GRANT FOR PURCHASING FURNITURE AND OFFICE EQUIPMENT. 

OBLIGATIONS OF HOST UNIVERSITY/ RESEARCH INSTITUTION

The host University/Research Institution should furnish the following information:

• A certificate that the research scholar has joined the institution under the supervisor/guide (name) for undertaking research work in an approved subject chosen by him/her along with a copy of his/her Joining Report indicating the actual date of joining.
• A certificate that all the necessary facilities for undertaking research work in an approved subject, as chosen by the research scholar will be provided by the institution.
• If the university/institution has not provided subsidised/hostel accommodation and if the research scholar has made his/her arrangement for accommodation, then a certificate to that effect, is to be submitted for claiming HRA by the scholar.

The institution will receive the scholarship amount for one year from R&D-II (DAE), Mumbai and make monthly payment to the scholar in the prescribed manner. The institution should undertake to keep Subsidiary Accounts and furnish a Utilisation Certificate and Statement of Accounts along with the refund of unspent balance of the amount received by them from time to time. The refund should be by cheque or DD drawn in favour of "Pay and Accounts Officer DAE".

An annual report of the work done along with the list of publications/patents (if any) coming out of the NBHM Grants, Utilisation Certificate and Statement of Accounts duly signed by the guide and head of the institution with a suitable recommendation of further grant, if any, are necessary to be submitted to NBHM (DAE) within One Month.

In case the research scholar is called upon to assist the institution in its teaching programme, the workload should not exceed four hours of teaching per week at the postgraduate level or six hours of teaching per week at the undergraduate level. 

OBLIGATIONS OF RESEARCH SCHOLARS. 

The research scholar must be a full time researcher and submit himself/herself to the disciplinary regulations of the university/ institute where he/she works. He must be regular in attending to the departmental duties assigned to him. (The department must ensure regular attendance of the scholar by keeping an attendance register.)

In case a scholar decides to appear for a competitive examination he/she should invariably seek permission from the guide and inform D.A.E. about it. 

The research scholar is not to take any assignment other than related to his/her approved research programme, paid or unpaid. He/She taking up any paid assignment at any time in the course of the scholarship may lead to the scholar being asked to pay back the entire fellowship amount in addition to disciplinary action. Any kind of paid or honorary, part or full time employment or private practice even in honorary capacity is not permissible during the tenure of the Ph. D. Scholarship. 

The research scholar shall submit an annual report of the work done along with the list of publications/patents (if any) coming out of the NBHM Grants, Utilisation Certificate and Statement of Accounts duly signed by the guide and head of the institution with a suitable recommendation of further grant, if any to the Member Secretary within One Month of the completion of each year. Years are to be counted from the date of joining. 

Once a person accepts a research scholarship, he/she is expected to continue the research for the normal tenure of the fellowship or for such lesser duration in which the original objectives of the research problem have been achieved. No scholar shall discontinue his/her Ph.D. scholarship without prior approval of DAE. In case he/she wishes to discontinue the scholarship prior to completion of the tenure, he/she must submit the resignation to DAE through the guide one month in advance, indicating specific reasons for not continuing the scholarship. The scholarship shall cease from the date stipulated in the DAE letter approving the resignation. Abrupt discontinuance of the fellowship without concurrence of DAE may lead to disciplinary action. 

The research scholar must send a detailed consolidated report of the research work done during the entire period of fellowship along with the list of publications/patents (if any) coming out of the NBHM Grants, on completion of the tenure/resignation of the scholarship through the guide to DAE. 

During the tenure of the scholarship, the scholar shall correspond with DAE or NBHM only through the guide/head of the institution. The research scholar shall keep DAE informed about his/her getting any higher degree/acceptance/ publication of any research paper arising out of the research work done during the tenure of the Fellowship. He/She must acknowledge the support of NBHM- DAE (Government of India) in the publications. One copy of each research paper published must be sent to DAE, at each stage of publication (manuscript/reprint).The research scholars are expected to acknowledge the support received from NBHM-DAE in all their publications and in their Ph.D. theses.

In case the scholar is required to undergo Pre-PhD training like M.Phil before registering for Ph.D. degree, the scholarship may become operative from the date of enrolment for the pre-Ph.D. programme. However, the scholarship for the second year will be given only if the scholar has got himself /herself registered for Ph.D. degree.

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CSIR NET Previous Yr. Que. Papers Collection

Enhance your self-preparation by accessing our Collection of CSIR-NET (Mathematical Science) Previous Year Question Papers with answer keys organized year-wise up to 2023, including the latest exam papers. FREE PDF Download with answer key. Please share this page to those students/groups who are preparing for the CSIR-NET examination. Hopefully, my effort in this collection and compilation will help you in your exam.

• Dec-2023 (Que.+Ans Key): Download PDF
• June-2023 (Que.+Ans Key): Download PDF
• Sept.-2022 (Que.+Ans Key): Download PDF
• Feb.-2022 (Que.+Ans Key): Download PDF
• Nov-2020 (Que.+Ans, 30 Nov) : Download PDF
• Dec-2019 (Que. Paper+Key): Download PDF
• Dec-2019(Assam)(Que. Paper+Key):  Download PDF 
• June-2019 (Que. Paper+Key): Download PDF
• Dec-2018 (Que. Paper+Key): Download PDF
• June-2018 (Que. Paper+Key): Download PDF
•  Dec-2017 (Que. Paper+Key):  Download PDF
• June-2017 (Que. Paper+Key): Download PDF
• Dec-2016 (Que. Paper+Key): Download PDF
• June-2016 (Que. Paper+Key): Download PDF
• Dec-2015 (Que. Paper+Key): Download PDF
• June-2015 (Que. Paper+Key): Download PDF
• Dec-2014 (Que. Paper): Download PDF
• June-2014 (Que. Paper+Key): Uploading Soon
• Dec-2013 (Que. Paper): Download PDF
• June-2013 (Que. Paper+Key): Download PDF
• Dec-2012(Que. Paper+Key):  Download PDF
• June-2012 (Que. Paper+Key): Download PDF
• CSIR-NET June-2011: Download PDF
• CSIR-NET Dec-2011: Download PDF
• CSIR-NET 2008:  Download Paper-1 and Download Paper-2

CSIR NET Mathematical Science Syllabus:   Download Syllabus

CSIR-NET Solutions (Upto latest exam): Click Here

Gate maths solution (upto latest exam) : click here.

You can keep updated with us on

CSIR-NET (Maths) Topic-wise & Year-wise Solutions

Handwritten Solutions of  CSIR-NET Mathematics  Prev. Yr. Que. Papers (Upto Sept.-2022) are available here. Very very helpful in the preparation of CSIR-NET, SET, GATE, PSC, etc. and other equivalent exams. Self-preparation materials (No need for any coaching). Work is in progress.

Note: CSIR NET June-2021 exam was conducted in Feb-2022 and June-2022 exam in Sept. 2022.

• General Aptitude Solution ( NET 20 & 22 & GATE 2022-2016):   Download PDF
• Sol. of  Abstract   algebra ( Upto Sept.-2022, Pages:132):  Download PDF
• Sol. of  Complex Analysis ( Upto Sept-2022, Pages:152):  Download PDF
• Sol. of  Linear algebra ( Upto Sept-2022, Pages:248):   Download PDF
• Sol. of  NT, NA, LPP & DS  ( Upto Sept-2022, Pages:166) :  Download PDF
• Sol. of  ODE, PDE, IE & COV ( Upto Sept-2022 ):  Download PDF
• Sol. of  Real Analysis ( Upto Sept-2022, Pages:248):   Download PDF
• Combined Solutions (All above Sr. No. 2 – 7): Click Here

CSIR-NET Year-wise Complete Solution

• CSIR NET Sept. 2022 (New): Download Here
• CSIR NET Feb 2022: Download Here
• CSIR-NET Nov 2020: Download Here
• CSIR-NET Dec. 2019:  Download Here
• CSIR-NET June 2019:  Download PDF
• CSIR-NET Dec. 2018:  Download PDF
• CSIR-NET June 2018:   Download PDF
• Combined Solutions of 2017D, 2018J, 2018D, 2019J, 2019D, 2020N & 2022F:  Download Here

Check the Sample of our notes here: https://wp.me/P6gYUB-3mY

MSc Entrance Exams Que. Papers (JAM, CUCET, BHU, …etc)

Question Paper of MSc Entrance exams(like JAM, CUCET, BHU, … etc.). Download the PDFs and practice it for your upcoming exams. It will be very very useful and sufficient, no need to join any test series.

• BHU PET Que Paper(Maths):   Download PDF
• BHU PET Que Paper(Stats.):   Download PDF
• CUCET MSc Maths (2019-2016+Sample): Download PDF
• JAM Mathematics (2020-2007): Download PDF
• JAM Statistics(2020-2008): Uploading Soon
• NBHM MSc  Que Paper(2019-2008):  Uploading Soon
• SAU MSc Entrance Que. Papers (2019-2014): Uploading Soon
• TIFR Mathematics Que Paper(2019-2010):  Download PDF
• University of Delhi (Central University):  Uploading Soon
• University of Hyderabad (Central University):   Download PDF
• Any other: On-demand
• Jay Prakash, Neha & Shambhu (MSc, CUJ): CUCET, BHU Related Papers:
• Guddu Kumar(Patna University, BSc): UOH, BHU Related Papers

Related Posts:

• Que. Papers of NET, GATE, IITs,NBHM, PhD Entrance
• CSIR-NET, GATE, JAM, SET All Notes PDF Center
• Free Maths Study Materials (Donated)
• GATE & JAM Study Materials
• Feedbacks/Comment on Our Notes

If you wish to send any question papers, we welcome you. Kindly send it to  [email protected]

CSIR NET Previous Yr. Que. Papers

Previous Year Question Papers of  CSIR-NET (Mathematical Science)  year-wise up to 202 2 (Latest). FREE PDF Download.

• Feb-2022 (Que.+Ans Key): Download PDF
• Dec-2019(Assam)(Que. Paper+Key):  Download PDF 
•  Dec-2017 (Que. Paper+Key):  Download PDF
• Dec-2012(Que. Paper+Key):  Download PDF
• CSIR-NET 2008:  Download Paper-1 and Download Paper-2

CSIR-NET Solutions (Upto Latest Exam): Click Here

Gate maths solution (upto latest exam) : click here, que. papers of csir-net, gate, jam, cucet, bhu, jnu, iit, nbhm, du, …etc.

Here, you will get the collection of Previous Year Que. Papers (Math & Stat.) for CSIR-NET(JRF), GATE, NBHM, TIFR, IITs, CUCET, …etc and many mores including MSc/PhD Entrance Que. Papers. Practice these questions for your entrance exams. It will be very very helpful and sufficient for qualifying.

Questions Paper of NET, GATE & Ph.D. Entrance

• CSIR-NET Mathematics Que. Paper+Ans (2019-2011): Download Here
• CUCET PhD Mathematics Que. Paper+Ans (2020-2016) : Download PDF
• Delhi University PhD Entrance Test(2015-2019): Download PDF
• GATE Mathematics Que Paper+Ans (2020-2010): Download PDF
• IIT Bombay PhD Screening Test(Dec 2015-May 2019): Download PDF
• IIT Kanpur PhD Screening Test(Dec 2015-May 2019): Uploading Soon
• IISc Banglore Int. PhD Test(178Pages): Uploading Soon
• ISI PhD Entrance Test(2015-2019): Uploading Soon
• JNU PhD Mathematics Que. Papers(2018-2015):   Download PDF
• NBHM PhD Que Paper+Ans (2020-2005): Download PDF
• SAU PhD Admission Que. Paper (115 Pages):   Download PDF
• TIFR Mathematics Que Paper(2020-2010):   Download PDF
• BHU RET Que Paper(Math & Statistics): Uploading Soon
• P Kalika Practices Sets(52Pages): Download Practice Sets
• Any others: On Demand

Questions Paper of  MSc Entrance exams

• BHU PET Que Paper(Mathematics): Download PDF
• BHU PET Que Paper(Statistics): Download PDF
• CMI PG Entrance Papers(2010-2019): Uploading Soon
• CUCET MSc Maths Que. Paper(2019-2016+Sample): Download PDF
• JAM Mathematics (2020-2007):   PDF Download
• TIFR Mathematics Que Paper(2019-2010):   Download PDF
• Others: On demand
• If you need any other Exam paper, write here.
• If you want to share any Que. Paper, then send it to [email protected]

Mathematics topic-wise Solutions

• CSIR-NET, GATE, SET All Notes PDF Center
• Fast Revision Notes for CSIR-NET, GATE, JAM & SET exam
• Free Study Materials for BSc and MSc

NBHM MSc & NBHM PhD Prev. Year Question Papers and Answer Keys

Here, We are providing Que. Paper in Compiled and Individual Form. You may download anyone as on your interest. For preparation, I suggest along with your study also do problems of Prev. Yr. Questions.

For NBHM PhD Solutions, Eligibility, Interviews and Other Queries: Click here

NBHM PDF Solutions: Click here

NBHM Videos Solution: https://www.youtube.com/playlist?list=PLDu0JgProGz7FIWzwJKVQ5QBZtIu9pe-p

NBHM PhD Que Papers(2021-2005) with Ans. Key: Download PDF

Nbhm phd scholarship test que. papers & keys.

• NBHM PhD 2022: The exam will be held in June 2022.
• NBHM PhD 2021 Que with Ans Key
• NBHM PhD 2020 Que with Ans Key
• June 2005 – Key June 2005
• February 2006 – Key Feb. 2006
• January 2007 – Key Jan. 2007
• February 2008 – Key Feb. 2008
• January 2009 – Key Jan. 2009
• January 2010 – Key Jan. 2010
• January 2011 – Key Jan. 2011
• January 2012 – Key Jan. 2012
• January 2013 – Key Jan. 2013
• January 2014 – Key Jan. 2014
• January 2015 – Key Jan. 2015
• January 2016 – Key Jan. 2016
• January 2017 – Key Jan. 2017
• January 2018 – Key Jan. 2018
• January 2019 – Key Jan. 2019

NBHM MA/MSc Scholarship Test Que. Papers & Keys

• October 2005 – Key Oct. 2005
• September 2006 – Key Sep. 2006
• September 2007 – Key Sep. 2007
• September 2008 – Key Sep. 2008
• September 2009 – Key Sep. 2009
• September 2010 – Key Sep. 2010
• September 2011 – Key Sep. 2011
• September 2012 – Key Sep. 2012
• September 2013 – Key Sep. 2013
• September 2014 – Key Sep. 2014
• September 2015 – Key Sep. 2015
• September 2016 – Key Sep. 2016
• September 2017 – Key Sep. 2017
• September 2018 – Key Sep. 2018
• NBHM MSc 2019 with Ans. Key
• NBHM MSc 2020: The test was not held due to the COVID-19 pandemic.
• NBHM MSc 2021: The exam will be held in June 2022.

NBHM PhD Solution: Download Solution

Permutation Group: Problem and Solution

Collection of some standard problems and their solution from Permutation Group for BSc and MSc Download PDF.

Solutions of CSIR-NET Mathematics Prev. Yr. Papers(Upto Dec-2019) is available here:-

• Solution of NT, NA, LPP & DS (Upto Dec-2019):  Download PDF
• Solution of Complex Analysis (Upto Dec-2019):   Download PDF
• Solution of Linear algebra (Upto Dec-2019): Download PDF
• Solution of Abstract algebra (Upto Dec-2019):  Download PDF
• Solution of Real Analysis (Upto Dec-2019): Download PDF
• Solution of Integral Equation (110Pages) : Download PDF
• Solution of ODE, PDE, IE & COV (Upto Dec-2019):   Download PDF

CSIR-NET Year wise Complete Solution

• CSIR-NET Dec-2019: Download Here
• CSIR-NET June-2019: Download PDF
• CSIR-NET Dec-2018: Download PDF
• CSIR-NET June-2018 :  Download PDF
• Combined Solutions of 2017D, 2018J, 2018D & 2019J: Download Here

Previous Yr. Que. Papers Collection:

• MSc Entrance(JAM, CUCET, BHU, UoH, …etc):   Download PDF
• NET, GATE & PhD Entrance(NBHM, CUCET, DU, …etc):   Download PDF
• Download and practice these Papers as your practice set.

Related Posts :

• Quick revision Notes for CSIR-NET, GATE, JAM
• Free Maths Study Materials by P Kalika
• CSIR-NET Mathematics Details Syllabus
• Book Suggestions for Higher Mathematics

Practice Set For NET, GATE, SET, JAM

Topic-wise practice set/que for csir-net, gate, set.

• Calculus for GATE & JAM: Download PDF
• Dynamical System:   Download PDF
• Integral Equations: Download Practice SET
• Markov Chain(NET & SET) :  Download Practice Set
• ODE & PDE( Updated ): Download PDF
• Number Theory (Updated) : Download PDF
• Probability & Distribution: Download Practice Set
• Ring Theory(Reducible & Irreducible): Download PDF
• All above Combined Sets(56Pages): Download all PDFs

Previous Yr. Que. Papers Collection

• Download Question Papers
• CSIR NET Topic-wise Solutions
• Fast/Quick revision Notes for JAM, NET, GATE & SET exam

If you wish to donate Practice Sets/Que or Need any help or suggestions, write us on [email protected]

CUCET MSc & PhD Latest Question Papers

Here we are providing Collection of CUCET Mathematics Prev. Yr. Question Papers. Practice these questions with the concept and develop your own tricks for quick identification of the correct answer.  

CUCET-2020 PhD Maths Que. Paper: Download PDF

CUCET PhD Maths Que. Paper+Ans (2020-2016): Download PDF CUCET MSc Maths Que. Paper(2019-2016+Sample): Download PDF

CUCET MSc-2020 Mathematics Solution: Download Here

CUCET PhD-2019 Mathematics Solution: Download Here

Download CUCET PhD Mathematics Solutions .

In this PDF, we covered the solution of Real Analysis, Abstract, Linear, Complex, ODE, PDE, COV, Integral, Numerical, Dynamics, …etc. This solution is very very helpful in the preparation of CUCET Ph.D. Entrances.

Note: CUCET Solutions for 2016, 2017 & 2018 years will be available soon.

• CUCET-2020 admission to UG, PG and PhD
• Que. Papers of CSIR-NET, GATE, JAM, CUCET, BHU, NBHM, IIT, …etc

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• Scholarships /

NBHM Scholarship

• Updated on  
• Jul 21, 2023

The National Board of Higher Mathematics (NBHM) offers master’s and PhD-level scholarships to students across India planning to pursue a research career in Mathematics. Interested students have to qualify for the scholarship test in order to be awarded the scholarship after which they appear for an interview as part of the selection process. Scroll through this blog to know more about NBHM Scholarship for PhD and Masters, its eligibility, important dates, how to apply and more!

This Blog Includes:

What is nbhm scholarship, nbhm scholarship eligible courses, eligibility criteria, how to apply, selection criteria, test centres, exam pattern.

NBHM stands for National Board for Higher Mathematics which was founded in the year 1993 by the Indian government under the Department of Atomic Energy (DAE) intending to foster development in higher mathematics and help in financing and assisting the research and projects of doctoral and post-doctoral scholars. It is funded by the Department of Atomic Energy, which is an autonomous body.

Also Read: Top Scholarships for Indian Students to Study Abroad

NBHM conducts various scholarship exams to find and nurture the best talent and supports students through scholarships, fellowships, etc. NBHM provides a series of programs to train students in mathematics. Here are the three types of scholarships offered:

• Undergraduate NBHM Scholarship
• Postgraduate NBHM Scholarship
• PhD NBHM scholarship

There is currently no information regarding undergraduate scholarships. NBHM provides scholarships for undergraduate programs at very specified institutions. Details can be obtained when there will be any openings.

NBHM Scholarship for Masters

NBHM scholarships for Masters are offered to students pursuing master’s level courses in mathematics and statistics. The notification for these scholarships is generally released in the month of June every year. Notices are personally sent to renowned colleges and universities, departments of mathematics across the country. The amount of this NBHM scholarship is ₹6,000/ month.

Following qualifications are the eligibility requirements for the NBHM scholarship for masters:

• Students who have completed or are going to complete their B.A./ B.Sc degree in mathematics with 60% marks or more.
• Students who have completed or are going to complete their B.A.(Hons.) / B.Sc(Hons.) degree in mathematics with 50% marks or more.
• Students who have completed or will complete their three or four years course in Integrated masters equivalent to a recognized five years course in mathematics with 50% marks or more.
• Students who have completed or are going to complete their one-year M.A./M.Sc equivalent to any recognized two-year master’s in mathematics with 60% marks or more.

The syllabus is mostly algebra and analysis, however, the question papers contain three sections, algebra, analysis and miscellaneous. The algebra section comprises questions of Linear and abstract algebra. The analysis section has real and complex analysis and the miscellaneous part of the paper contains geometry, permutations and combinations, metric spaces and related topics.

• Click here to start with the application process
• You will be first asked to register and sign up.
• Read the provided instructions and click to proceed.
• Fill in all the relevant and required details and then click submit.
• Submit the requisite fee of INR 300 online and provide all the necessary documents.

Candidates will be selected strictly on the basis of written examination marks and the interview. The written test will be for the duration of 1½ hours with MCQs and the topics covered are Algebra, analysis and mathematics.

The written test for NBHM Scholarship for masters is conducted in 5 zones:

• North Zone- Srinagar, Chandigarh and New Delhi
• Central Zone- Jabalpur, Indore, Raipur and Prayagraj
• West Zone- Goa, Mumbai, Pune and Vallabh Vidyanagar
• East Zone- Shillong, Ranchi, Guwahati, Kolkata and Bhubaneswar
• South Zone- Chennai, Cochin, Hyderabad, Bengaluru.

The candidates will be selected for the next round i.e. the interview according to their written test marks and the centre for the interview would be any one of them from each zone.

Check Out: Ratan Tata Scholarship for Engineering Students

NBHM Scholarship for PhD

Students with a master’s degree in mathematics, statistics or physics aiming to work in research in any branch of mathematics leading to a PhD degree are eligible to apply for the NBHM scholarship for a PhD. Here is the scholarship amount for this PhD scholarship:

• INR 25,000 per month for the first two years
• INR 28,000 per month for the rest of the three years (but only after a review of the work done in the first two years)
• Contingency grant: INR 32,000 per year (This grant can be used for the purchase of study materials, library work, etc. and the unutilized amount remaining could be used for the next year.)

Here are the eligibility requirements for NBHM Scholarship for PhD:

• Students who have passed B.Sc. (honours) with a second class may also apply provided they have a master’s degree in the final year.
• Students holding the four-year B.S.(or equivalent) degree, or those in the final year are eligible to apply for NBHM scholarship provided they are able to get admission under the PhD programme in any recognized University by August.
• Students who have applied or wish to apply for the PhD/Integrated PhD programme of HRI, IISER, Pune, IMSc or NISER may apply for the written test.
• Apart from students mentioned earlier, students holding a degree in B.Sc./ B.Stat/ B.S./ B.E./ B.Tech. or in the final year of these courses with a consistently good academic record from Class 12th level may apply.

Note : There’s no age limit for this scholarship.

Also Read: PhD Scholarships in the UK

• Step 1: Register yourself on the official NBHM website with a valid email address.
• Step 2: Log in to the portal with the credentials created in Step 1. Fill out the asked details along with selecting the zone. Next, you’ll be led through the payment gateway. The fees are INR 500 and INR 650 for late submission. Once the fee is paid, you’ll be allotted an application number.
• Step 3: Download the payment receipt/pre-admission ticket. The same will also be sent to your registered email address.
• Step 4: The online process is completed although you’ll have to print a hard copy of the receipt and fill in the details along with two coloured passport-size photographs and enter your roll no. and sign.
• Your roll no. will be there in the centre-wise list of candidates published. Make sure to take two original copies of your tickets to the centre. The examination centres are the same as the zones provided above.

Here is the exam pattern of the NBHM Scholarship for PhD:

The syllabus for NBHM scholarship for PhD is broadly divided into two sections namely algebra and analysis.

• Abstract algebra
• Abstract Algebra
• Binary Operation
• Matrix theory
• Groups Algebra
• Rings and Field
• Polynomials ( Calculus, Matrix Polynomial and Roots).
• Plain Algebra (lines, circles, ellipses, curves, spheres, etc.)
• Geometry algebra (polar and cartesian coordinates)
• Complex Analysis: Polar Coordinates, Poles and Residues
• Real Analysis: Sequence and Limits, Metric Spaces, Series (Infinite Series and Taylor Series Expansion)
• Functional Analysis: Continuous Function, Maxima and Minima, Differential Function, Defining Function

Under NBHM PhD Scholarship for the first 2 years, the student gets Rs.25,000 per month and in the subsequent years, the student gets an amount of Rs. 28,000 per month. In addition to this, per year a contingency grant of Rs.32,000 and house rent allowance as per the government rules is provided to the student.

In order to invite bright mathematicians for lectures, joint work and other academic activities, NBHM provides funds to university departments and other institutions.

For one scholarship the applicant needs to pay Rs. 500 and Rs.750 for both scholarships. After the deadline, the amount will increase to Rs.750 and Rs.1000 respectively.

We hope you liked this blog where we covered comprehensive information about NBHM Scholarship. To read more informative articles like this one, keep following Leverage Edu !

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Very nicely put up. Got all ghe information at one place. Thanks to the author. Keep up the good work!

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