Live data from Hacker News

The IIT Entrance Exam

priceonomics.com

81–90 of 96 posts

Re: The IIT Entrance Exam

#81

> The Indian Institutes of Technology (IITs) are a system of technical universities in India comparable in prestige and rigor to the Massachusetts Institute of Technology or the California Institute of Technology. Far from it. IITs are not even in the top 20 in Asia[1]. [1] http://www.topuniversities.com/university-rankings/asian-uni...

Look at some of the criteria for those rakings. They are heavily weighted towards how many international students and faculty they attract, research done by the faculty and grad students, the number of papers they publish and how often those papers are sited. IIT on the other hand is heavily focused on producing high quality under graduate education for Indian students.

Their goals simply don't line up with the metrics being measures by those rankings.

Re: The IIT Entrance Exam

#82
India should try to broad base its technical education and infuse quality among the large number of technical institutes which have sprung up across the country. Giving autonomy and aid to good institutions can be a beginning. IITs are good, but not the first or foremost requirement for the transformation of engineering education in the country.

Re: The IIT Entrance Exam

#83
post #21
post #2

I'm unreasonably pleased that I was able to answer both the example questions.

First one's simple enough, but second one I couldn't figure out if there's a clever trick. Or are students expected to apply the quadratic formula and do a bunch of symbolic manipulation?

I think approximation can be the best way to answer these types of multiple choice questions.

Since its a quadratic, you know alpha is about 6 and beta is about -0.3. Then, since the answer is a whole number, and we're raising to high powers, you throw away the -0.3 and approximate a_n = 6^n.

Divide through by a_8 and you get (6^2 - 2) / 12, which is very close to 3.

Re: The IIT Entrance Exam

#84
post #74
post #60

I don't know fuck-all about chemistry or physics (I dropped out of the 10th grade), but could someone confirm for me that the correct answer to that multiple choice aluminum-hit-with-an-alpha-particle question about 20% in to the article is (a)?

Yes

Much obliged. :D

Re: The IIT Entrance Exam

#85
As it says in the article that the people that get into computer science in IIT are the best of the best in this test. I wonder how the quality of graduate compares with those coming out of mid/top US universities.

Re: The IIT Entrance Exam

#86
To me it's somewhat disappointing to see how quickly HN jumps on an article like this. With all due respect to the obviously enormous hard work these people put into getting in to an IIT, and their obvious intelligence, isn't this kind of discussion about some test to determine whether or not you're 'smarter' than other people something of a pissing match?

No doubt intelligence to a certain degree is a pre-requisite, but beyond that privilege and wealth contribute a huge amount (emphasised in the article when discussing tutors.)

When I attended university I saw how important it was to strategise in exams, the actual technique of exam taking itself is clearly something you can work on, regardless of intelligence. Any test like this can be, and inevitable is, gamed by its candidates; the exams become more a matter of how good you are at guessing what will come up and being good at the art of answering exam questions rather than what the exams ostensibly examine.

I raise this because I find the whole 'elite universities, passed difficult tests = wonderfully smart people who should be given every opportunity in the world to shine' as suspect, biased towards the privileged, and false beyond a a certain base level which is probably not the 'cream of the crop' levels of intelligence people ascribe to those attending this institutions. It smacks of pomposity and self-serving arrogance.

I say this as somebody who went to an 'elite' or at least well regarded university here in the UK (Imperial College.)

Full Disclaimer: I myself may be somewhat biased as I under-performed at university because of quite horrific family issues which inevitably results in an emotional reaction to this kind of thing, however I don't think that invalidates what I'm saying.

Re: The IIT Entrance Exam

#87

Stories about rigorous tests and top-notch universities in other nations make me realize that prestige is myopic. For example, I recently introduced two friends: One was an American who had gone to Princeton; the other was an Indian who had attended the Indian Institute of Technology Bombay. Both colleges have fancy names and star standing in their own nations, but neither person fully understood the cachet of the ot…

I often found that astonishing as well. It does not help that we do not have ivy league universities here in Germany. I have met hundreds of people here claiming to have studied "in Munich, Harvard and Oxford", because they attended some expensive two-week summer schools abroad... Also, it happens quite often that people think of their alma mater as some kind of elitist, (I am looking at you, Munich, Karlsruhe and Mannheim...)even though it is not really hard to get in there, and curriculum is similar everywhere.

TLDR: It's hard to earn prestige by attending any university in Germany - but people hate that.

Re: The IIT Entrance Exam

#88
I am studying/working through the summer in what I guess would be a program with "elite" students from my field. There are people from the top colleges around the world including but not limited to MIT, Dartmouth, Harvard, Columbia as well as some of the top Canadian, Chinese and European schools. My only colleague that comes off as genius level smart and has a huge breadth of knowledge is from IIT Mumbai. I know it is only one data point but he is also a fairly normal guy. Really nice, thoughtful, loves to hang out and go out for drinks. If every student from IIT is like him I could see a bright future for India

Re: The IIT Entrance Exam

#89
post #21
post #2

I'm unreasonably pleased that I was able to answer both the example questions.

First one's simple enough, but second one I couldn't figure out if there's a clever trick. Or are students expected to apply the quadratic formula and do a bunch of symbolic manipulation?

There's an interesting connection between the roots of quadratic equations and Fibonacci-like sequences that is applicable to this problem. Let r and s be the roots of x^2 - ax - b, and let c[n] = (r^n - s^n)/(r - s).

Then c[n] satisfies the recursion c[n] = a c[n-1] + b c[n-2].

For instance, if a = b = 1, then that sequence is the Fibonacci sequence, and the quadratic is x^2 - x - 1. r is then the golden ratio, s is -1/r, and (r^n - s^n)/(r-s) is the famous Binet formula for the n'th Fibonacci number.

This applies directly to the ITT problem, giving the recurrence a_{n} = 6 a_{n-1} + 2 a_{n-2} for the a_{n} sequence from the problem, which in turn readily yields the answer.

Re: The IIT Entrance Exam

#90
post #2

I'm unreasonably pleased that I was able to answer both the example questions.

Since we are discussing the questions. Here is one I can't forget, it was one of the tough Physics question in the year when I took JEE.

Here goes (text from my memory): There is a rolled carpet of length, L, kept on an even floor. A person gives it a gentle push, and the carpet starts to unroll. What will be the velocity of the unrolled piece of the carpet, when the carpet is half unrolled? (You can ignore the contribution of the initial push, for this computation)

PS: I will look for answers, here tomorrow ... :-)

Post reply on HN