## 25 Jul Experiences at an NBHM MSc Scholarship Interview

Hi, this is record of my Interview held in month of Nov'13 for NBHM MSc Scholarship. After clearing the written exam held in Sept'13 I was called to appear for Interview at Punjab University. The written exam was easy and I did all problems in Analysis , and I think my score was 22/30. Since I had given many interviews before this so I had the idea how things happens in the interview,I prepared Real Analysis quite well. I also looked at some topics from my Integrated PhD 1st sem mainly Topology.

So I was called for Interview in Morning at 9 and my name was there in the list at last position.

Early in the morning I saw my two IISER's professor Prof Passi and Dr.Amit there in the panel. After that I waited for my turn and entered the room at 4.20pm.

Everyone welcomed me in the room and there were 5 on the panel.(I don't know everyone's name sitting in the panel so I'll use Sir and Mam at places)

Dr Amit- Welcome Neeraj, (he jokes) abhi tak to kafi questions pata chal gye honge ki kya-kya puch rhe hai?( Till now you must have heard many problems which we have asked from others?)

Me- No sir , I haven't talked with others too much!

Mam- So what is your area of interest?

Me-Real Analysis.

Prof Passi- Since you said Analysis let me ask an interesting problem, first write down on the board and tell its value?

Me- ( I got surprised , couldn't figure out why is he asking such an easy question!) Sir its 2!

Prof Passi- Now what is ?

Me-( I have seen this before but couldn't recall anything)

Prof Passi- What can you say about its nature whether it is rational or irrational, or any other detail?You'll be able do it only if you've seen it before!

Me- Yes sir I've seen it( gave it a thought but was not getting anything)

Prof Passi-( After sometime) okay leave it let's move on.

Mam- What do you mean by uniform continuous function?

Me- ( Gave the definition)

Mam- Is uniform continuous on ?

Me-( Did it by considering )

Mam- Do you know any other shorter way?

Me-( Thinking for some other method)

Mam-( after a while) what about and

Me-(immediately) Oh yes since is continuous on and both these limits exists must be uniform continuous!

Mam- Yes correct! Is uniform continuous on

Me- yes, since its derivative is bounded on $ mathbb{R}$

Mam- Is uniform ?

Me- No, consider two sequences and , now as but as

(After this sir started)

Sir- Have you done Topology?

Me- Yes sir.

Sir-What do you mean by Topology?

Me-( Gave its definition)

Sir- What do you mean by Hausdorff space?

Me-(Gave its definition)

Sir-Is Hausdorff with metric topology?

Me-(This was an easy one) Yes sir any two distinct points can be separated by two disjoint discs.

Sir- Is with cofinite topology Hausdorff?

Me-(thought for a while) No, for suppose disjoint nbds of respectively, since and this is not possible since is infinite while is finite.

Mam-If is finite , what is cofinite topology on it ?

Me-(immediately without thinking thinking much) Indiscrete.

Mam- Think again!

Me- It'll be discrete since is always finite always for any open set

Prof Gurmeet-Write down all the non isomorphic groups upto order 10

Me-(I was not sure whether I remember all of them or not, but wrote them all in the end)

Prof- Okay you can leave now

My Interview lasted for only 20 mins and before me they were taking interviews upto 50 mins, may be they were tired since I was last one or may be any other thing. But the good thing is that I cleared the interview 🙂

I noticed that interviews in North Zone for NBHM are relatively easy than other parts of India, through this post I'd like to help other students interested in taking the exam you can comment or contact me for any help.

** [Neeraj is now an Integrated PhD student at the Centre for Applicable Mathematics, TIFR, Bangalore.]**

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#### Neeraj Singh Bhauryal

#### Latest posts by Neeraj Singh Bhauryal (see all)

- Experiences at a PhD Interview at TIFR-CAM - July 25, 2014
- Experiences at an PhD interview at IISc Bangalore - July 25, 2014
- Experiences at an NBHM MSc Scholarship Interview - July 25, 2014

## karthik

Posted at 09:36h, 27 MarchCan you tell me what books should be followed for the written examination?

## krishnapal singh

Posted at 12:51h, 07 Junebooks for csir net

## Gonit Sora

Posted at 19:01h, 11 JuneCould you be a bit more specific?

## v

Posted at 14:42h, 07 Julycould you please ask neeraj bhai on what books can be referred and what all topics have to be concentrated inorder to write this exam?

## Gonit Sora

Posted at 21:14h, 12 JulyWe have forwarded your email to the author. Sorry for the delay.

## Vincy Anandi

Posted at 14:33h, 07 JulyHi Neeraj bhai... I am going to write this years NBHM scholarship for msc students.Could you please give me a suggestion on what all books and topics in particular I should concentrate?...Thank You

## Gaurav Rajan Bopardikar

Posted at 22:47h, 16 JulyIs it easy to prepare for iit jam maths in 4 months?

## Gonit Sora

Posted at 19:07h, 28 JulyIf your concepts are clear then with four months of problem solving, we believe it is possible.

## shrey

Posted at 13:06h, 20 OctoberHi,

I am called in for interview this year. Can you give me an idea of what sort of questions should I expect in the interview? I was thinking of revising everything I did fir the written test in addition to solving the paper. Can you recommend anything else?

## Gonit Sora

Posted at 14:47h, 14 NovemberHi, yes, that is an excellent idea. Try to go beyond the stage for the written test. We would urge you to thoroughly revise your preparation for the written stage once again. Best of luck.

## Mho

Posted at 23:25h, 04 NovemberI don't know whether it's only me; but the MathJax commands are really in dilapidated condition. I'm noticing `\` is missing in each of them e.g. `mathbb` instead of `\mathbb` etcetera. Nevertheless, a big thanks to share your experience.

## Gonit Sora

Posted at 14:55h, 14 NovemberHi, thank you for pointing the error, it has been rectified now.

## santosh

Posted at 19:35h, 22 Novemberi t was very useful thanks.