Wednesday, August 26, 2009

Problem of the day 26.08.09

Five students Implex, Slam, Sanyo, dewan and nbangalorekar are wearing caps of Blue or Green color without knowing the color of his own cap. It is known that the students wearing the Blue cap always speaks the truth while the ones wearing Green always tell lies. If the students make the following statements

Implex: I see 3 blue caps and one Green
Slam: I see 4 Green caps
Sanyo: I see 1 Blue cap and 3 Green
dewan: I see 4 Blue caps

Then, which among the following (Student, Cap Color) combination is correct?

(1) (Implex, Blue) (2) (Slam, Green) (3) (dewan, Blue) (4) at least two of the foregoing (5) none of these

Thursday, August 6, 2009

Problem of The day 06.08.09

1. Four digits of the number 29138576 are omitted so that the result is as large as possible. The largest omitted digit is (A) 9 (B) 8 (C) 7 (D) 6 (E) 5

Thursday, July 30, 2009

Problem of the Day 30.07.09

Find the sum of the digits of the least natural number N, such that the sum of the cubes of the four smallest distinct divisors of N is 2N?



1)  9                                2) 8                             3) 7                    4) 6                      5) 10

Tuesday, July 28, 2009

Bonus QUestion 28.07.09

Suppose K be the number of integers n such that (2^n+1)/n^2 is also an integer.
Then K is
a) 0               b) 1               c) 2              d) 3              e) none of these

Problem of the day 28.07.09

if a<b and 12²+4²+5²+3²=a²+b² the find (a+b)?

Monday, July 27, 2009

Problem of the day 27.07.09

Find the number of quadratic polynomials ax² + bx + c such that:

a) a, b, c are distinct.

b) a, b, c ε {1, 2, 3, ...2008}

c) x + 1 divides ax² + bx + c
a) 2013018            b) 2013021            c) 2014024             d) 2018040       e) none of these

Sunday, July 26, 2009

Bonus Question 26.07.09

The perimeter of a right triangle is 60. The height to the hypotenuse is 12 what is the area?
(A) 75 (B) 144 (C) 150 (D) 300 (E) none of these

Problem Of the Day 26.07.09

If x² + y²= 1 and x, y are real numbers. Let p, q be the largest and smallest possible
value of x + y respectively. Then compute pq
a) 0                    b) 1/2         c) −1/2                          d) 2                           e) −2

Saturday, July 25, 2009

Problem of the day 25.07.09

In 1896 lord Coin has decided to play a game. From the January 1 till December 31 every day he chooses among two match boxes an arbitrary one and placed a match from it to another box (if the chosen box was not empty). If the chosen box was empty then he placed a match from
the other box to the chosen one. What is the probability that after the December 31 the both boxes will have an equal number of matches if at the beginning each box had a) n = 400 b) n = 200 c) n = 100 matches?

Thursday, July 16, 2009

Bonus Question 16.07.09

Find the number of solutions in distinct positive  integers of x^4+y^4=z^4

A) 0                 B) 1                  C) 2                         D) 3                E) More than 3

Problem of the day 17.07.09

Find the area of right angle triangle whose inradius is 4 and circumradius
is 10?
a) 28                   b) 56                    c) 96                     d) 192                   e) none of these

Problem of the day 16.7.09

What is the sum of the digits of a two digit number which is 32 less than the square of the product of its digits?

A. 12                   B. 11                 C. 10 .                     D. 9                           E.      8

Tuesday, July 14, 2009

Problem of the day 14.7.09

Given that 1025/1024=1.0009765625, find the sum of the digits of 510?



(a)  36       (b) 40    (c) 50   (d) 102   (e) 41

Monday, July 13, 2009

Problem of The day 13.07.09

On a circle 26 equidistant points are marked. these points are joined to form a triangles. Of the triangles formed, how many of them will have their circumcenter on one of their sides.?

A) 318 B) 312 C) 288 d) 624 e) None of these

Wednesday, July 8, 2009

ONLINE CAT- Effects on Quant Section

In this blog, I will discuss how the ONLINE CAT changes QUANT Preparation.

CAT Goes Online!

With the CAT going online, there has been a surge of doubts and apprehensions in the minds of students. Some of them are being directed to me,  so I think its best to post it together for the benefit of one and all.

The Aftermath

I think with the online CAT being CBT ( Computer Based Test) and not compute adaptive, the effect on Quant section is less when compared to DI or VA sections. Still, the change is considerable.

The first change is in Quant, most of us solve it just by the side of Question and save time, of going to the rough pages. But, now everyone is at the same ground, so people who did write in font 6 lose some of their advantages. Now everyone has to first check the screen and solve it on paper, so everyone takes the same amount of  time in this step.

The Geometry Puzzle

For algebra, number theory, arithmetic and modern maths, there is no other recognisable change. As earlier you solved on question paper itself, now you will do it on rough sheet.

The major change is with geometry questions, the ones with figures given. It might happen, that you need to do some additional construction to get a clear picture, this will be cumbersome and add to the time taken to solve the question.  Even if the question does not need construction, but the nomenclature of angles will become a little difficult, like you could name angles 1, 2 etc and go fast and save time. Now, one has to be really careful with the angles or take the pain of redrawing the full figure, which might not be cakewalk either.

What to Do?

The general and most obvious trick is to avoid geometry, unless there is no other choice. The other trick is to practice doing the question without the need to draw the figure in full again. This can be only done, if we try and solve geometry sets on screen, and get used to doing it quick.  The habit of doing it on paper and pencil can backfire, if the paper comes geometry heavy.

One Last Advice

The last piece of advice is there is no reason to panic. If there is something for you, it is for everyone who is taking the test. How you go ahead and work, to tackle this issue, is what matters. What are you waiting for?

Good Luck!

Implex

Problems 8.07.09

I could not post due to some engagements. Here are a bunch of problems to compensate :)

Question 1)

A + B + C + D = D + E + F + G = G + H + I = 17 where each letter represent a number from 1 to 9. Find out number of ordered pairs (D,G) if letter A = 4.
a) 0                       b) 1                 c)2                        d) 3                 e) none of these

Question 2)

The sequence 1, 3, 4, 9, 10, 12..... includes all numbers that are a sum of one or more distinct powers of 3. Then the 50th term of the sequence is
a. 252                    b. 283                     c. 327                      d. 360                  e) none of these

Question 3)


Given that g(h(x)) = 2x² + 3x and h(g(x)) = x² + 4x − 4 for all
real x. WHich of the following could be the value of g(-4)?
a)1                     b) -1                          c) 2                 d) -2                   e) -3

Question 4)


If a, x, b and y are real numbers and ax+by = 4 and ax² +by² = 2 and
ax³ + by³= −3
then find (2x − 1)(2y − 1)
a)4                      b) 3                    c) 5                 d) -3          e) cannot be determined.

Question 5)


K1,K2,K3...K30 are thirty toffees. A child places these toffees on a circle, such that there are exactly n ( n is a positive integer) toffees placed between Ki and Ki+1 and no two toffees overlap each other. Find n
a)4                        b) 5                     c) 9                 d) 12                       e) 13

Question 6)
For the n found in previous  question, which of the two toffees are adjacently
placed on the circle? ( All other conditions remaining same)
a) K11 and K13                    b) K6 and K23                   c) K2 and K10              d) K11 and K18
e) K20 and K28

Friday, July 3, 2009

Problem Of The Day 04.07.2009

Let aabb be a 4-digit number (a≠0). How many such numbers are perfect squares?

A) 0   B) 1   C)  2   D) 3  E) 4

Thursday, July 2, 2009

Problem of the Day 3.07.09

In a triangle ABC, perpendiculars BD and CE are drawn to the sides AC and AB. Points  D and E are joined, then the ratio of the area of ADE to the area of ABC is:

1) Cos²A 2) Sin²A 3) Cot²A 4) Tan²A  5) None of these

Problem of The Day 2.07.09

Two triangles are considered distinct if they cannot be superimposed on each other by rotation. How many distinct triangles, with integer sides,  exist, such that there perimeter is 30?

A) 19    B) 57    C) 114    d) 38    E) 36

Wednesday, July 1, 2009

Tuesday, June 30, 2009

Problem of the Day 30.06.09

P, Q and R played a number of card games, which required three players per game. Each game had only one winner and there were no draws. Each player scored 5 points for a win and lost 3 points for a loss. At the end, P had –20 points, Q had –12 points and R had 12 points. How many games did the three play in all?

Options

a) 30                        b) 20                          c) 15                               d) 18                           e) 10

Note: Question is taken from TestFunda.com Question of the day 30.06.09

Friday, June 26, 2009

Problem of The Day (26.6.09)

Let S be the set of five-digit numbers formed by the digits 1, 2, 3, 4 and 5,
using each digit exactly once such that exactly two odd positions are occupied
by odd digits. What is the sum of the digits in the rightmost position
of the numbers in S?
a. 228 b. 216 c. 294 d. 192 e. None of these

Thursday, June 25, 2009

Problem of the day 25.06.09

The real numbers, x, y, z, w satisfy

2x+y+z+w=1

x+3y+z+w=2

x+y+4z+w=3

x+y+z+5w=25

Find w.

Options

1. 2

2. 7/2

3. 11/2

4. 5

5. None of these

Wednesday, June 24, 2009

New Blog-Verbal Logic

Looking at the success of Quantologic- I have decided to start another sister blog.

So, here is presenting to you!

http://verballogic.wordpress.com/

Good Luck!

Tuesday, June 23, 2009

Verdict!

As you may have read about my cat score and various interviews!

Here is the verdict!

IIM A: Waitlisted ( Waitlist didn't convert)


IIM C PGDM: Reject

IIM C  PGDCM: Convert

IIM L: Reject

IIM I: Convert

IIM K: Waitlisted ( Converted)

Joining: None

What's next: CAT 2009




Good Luck !

Saturday, April 4, 2009

The Funny Side of Mathematics

During my interview for IIM Indore, which coincidentally was my first experience of  an "IIM Interview", I yelled a few times that I am good at mathematics and I should be asked questions on that. I also mentioned I would like to teach mathematics etc etc, lets leave the details.

The learned professor, who was supposed to ask the tech( acads maths etc) questions suddenly asked, " Can you prove 1=2?".

For a moment, I was like what? Then I told him that it is wrong thing, and all the proofs that you get in forwarded emails and fun sites are wrong and flawed.

He said, yes it is flawed, can you tell me the flaw?

I somehow ws not able to recollect this simple thing there, but I did it as soon as I was outside the room, interview blues I guess.

So the readers of this blog do not have such a problem, let me explain some ways to prove 1=2.

Method 1

x^2= x+x+x+x+x... ( x times)

differentiate both sides wrt x

then we get

2x=1+1+1+1+.. (x times)

2x=x

=>1=2

everything looks good, isn't it ? But it  is flawed. I leave it to the reader to figure out the flaw? if not, I will explain the flaw in one of teh comments. Kindly bear with me !

Method 2

1/4=1/4

(1/2)^2=(-1/2)^2

taking square root both sides

1/2=-1/2

add 3/2 both sides

2=1

This is much simpler and the flaw is also visible, i.e square roots are always positive .

Found it funny? Not yet?

One of my other friends was asked to tell when is pie day celebrated?

Innocent though he was, did not take a guess. You can always hazard a guess pie =3.14  so it has to be 14 march ( American calendar)

There is also a pie approximation day and yes you guessed it right, it is 22/7 that is 22 july ( english calendar).

Ramanujam's Number

A friend of mine, who as well proclaimed himself as math wiz in one of the IIM Interviews, was asked tell me about 1729?

And he was a wiz? Yes you guessed it right. He answered it well. 1729=10^3+9^3=1^3+12^3

It is the smallest number which can be written as the sum of two cubes in two different ways. It is a very famous number, so if you dare to proclaim maths as your hobby, you must know it.

Want to more? wikipedia, my friend! ( Indians must know about Ramanujam)

Thats all!

Cheers1

Friday, April 3, 2009

The New Look!

The Blog has gone a total change, old users will find the change quite sharp. Some of them are listed!

1. The theme has changed to a more classic and professional look.

2. We have moved from a three column theme to a two column theme.

3. The colour scheme has been changed.

4. Nothing more I can think of :)

Well, all of it has been done to signal the start of a new season. The users who will be taking CAT-09, you are in for a treat.  The blog will try to bring in the very best of quant and DI. There is a plan for some verbal content as well.

Best Regards

Rahul

Wednesday, March 25, 2009

XLRI Results Declared

XLRi declared its results today. It can be accessed here And not so surprisingly I was not selected. I had a poor Pi and an average GD. So the season does not start well

Thursday, March 19, 2009

IIM L Interview Experience

Date: 8th march
Cat percentile : 99.97
There were 8 students in the list but two were absent.

Essay and GD:
We were given a topic to write an essay for 20 minutes and then 15 minutes more to discuss the same topic. The topic was " Beginning of a journey does n't guarantee success"

I started my essay with " Well begun is half done" but what about the other half? Later followed on with examples of hare and tortoise, edison, football cricket and all other. Added valuable points how we can turn a good or a bad start into success. Overall a very simple topic and I wrote a decent essay will give 8-9/10

GD was chilled out, I chipped in with valuable points like continuous evaluation is required . Redefining of goals , review of achievements etc, Gave examples again of edison, football..
Only 6 people were there, all chilled out. I think we were finished in 12 mins and profs felt that we have nothing more to discuss and said that is fine.

Interview:
P1: Prof to my left, Prof. Sanjeev Kapoor
P2: Prof to my right, Prof Krishna Kumar ( Not sure though)
M: me!

P1 came and called me in..
Pleasantries and P2 asked me to sir. Thank you etc.

P2: xxx, You have done elec engg from IIT Kanpur. You have done very well till +2, what happened there?
M: give my reasons.
Some discussion follows, both look convinced.

P2: Ok , tell me the recent developments in elec engg.
M: I speak about smaller and smaller chips, new semi conductors etc.

P2: But that is all electronics? tell me about electrical.
M: Sir, I am more focussed towards electrnoics and communication, at IIT, we are taught all three and have to pick one or two for specialisation. Still in electrical, the nuclear deal can be said the latest development when concerning India. India is going to upgrade from 4000 MW to 20000 MW of nuclear power by 2020.

P2: Ok, have you heard about clean gas tecnology in power?
M: No sir!

P2: Ok fine. What do you read apart from electrical engineering?
M: Sir, I am a follower of football and read anything and everything about it. I am also into blogging.

P2: good, football ok!
P2: Who is the current world champion?
M: Sir, Italy won the last world cup in 2006 and spain is currently ranked 1 in FIFA rankings.

P2: When is the next worldcup.
M: 2010 in south africa.

P2: which is the most important position in football?
M: Sir, people think it is the central forward, but I believe it is the goalkeeper. I think his mistake can be very costly. One mistake of the goalkeeper can cost us a match. Attackers get numerous chances to score goals. But, once a goalkeeper lets an easy one in, the whole team omes under pressure. He is the most important player on the pitch.

P2: do u know pele? What was special about him?
M: Sir, he is regarded as the best footballer ever. He had this amazing knack of cutting through defenders, but he was a team player, his goals were full of passes. One of his goals is very famous when from midfield he took teh ball and the goal was scored after 13 passes.

P2: Good!
P2: Do you play football?
M: yes sir, but had to quit.

P2: Oh, because of the operation?
M: Yeah sir!
P2: Ok

P2: what else do you read?
M: Sir, I am not that big a reader. But the last two books that I read are, Atlas Shrugged and Kite Runner.

P2: And? ( he didn't hear kite runner properly)
M: Kite runner sir!

P2: who is teh author of atlas shrugged?
M: Ayn Rand

P2: What is so special about this book?
M: Sir, the imagination is very vivid. One can find any all kinds of emotions in this book. She has seen the world of today so early. Her imagination of reservations and fight between capitalism and socialism is very much what is happening and has happened.

P2: The book is very thick and has very small print( says to p1 and me). How much time it took you?
M: about one and a half month.

P2: good! Have you heard of the book alchemist?
M: yeah Sir, I have heard the name of the book, not read it.

P2: Do you know the name of author?
M: No sir!

P2: Thats fine.
P2: Suppose in your job it is necessary to bribe the customer to get business. What would you do?
M: Sir, I am not in favour of bribes. One should try other means.

P2: Suppose there is no other way. And your company, although does n;t encourage bribes but sees no wrong in it either and has funds allocated for it?
M: Sir, in that case, I will have no option. If the company can get no business, we are losing everything.
P2: Ok

P1 takes over
P1: Yeah, bribing is called facilitation fee. There is nothing wrong in it?
M: Sir, well it is not ethical but when you have no other options, you have to go for it.

P1: Right!
P1: Can you tell me the probability of you getting into IIM L?
M: do you want a mathematical answer, or you want me to take a prediction?

P1: Give a mathematical answer.
M: Sir, for that I would need some stats and also .

P1: What do you need?
M: No of seats and no of calls given .

P1: assume 500 calls and 100 seats.
M: Sir, we would need to assume that there will be no absentees in the interviews and everyone who gets an admit joins.

P1: Ok, then.
M: then probability of my selection is 499c99/500c100 which will be 499!100! 400!/500!99!400!=100/500=1/5

P1: suppose we have 50% reservations for girls?
M: we will need to reduce the number of girls candidates called from 500 and the calculations would change.

P1: Fine.

P1: So, you are from Bokaro Steel City, Tell me about your family?

M: Sir, My father works with Bokaro Steel Plant and my mother is a homemaker. My elder brother is a mechanical engg working in pune. My younger brother is studying mechanical engg from NIT Jamshedpur.

P1: Oh all engineers. good very good.

M: Yes sir (smiles)
P1: The guy who left before you asked me to ask you a question. Should I ask you that?
M: Sure sir!

P1: What is the size of a football field?
M: Sir, it depends what kind of a match it is. For international matches it is 70-80 yards in width and 110-130 yards in length. For domestic matches , it can be different.

P1: It is meters?
M: No sir, yards.

P1: Good, why do you think he asked me to ask you this?
M: may be because i spoke about football in the GD.

P1: Good, how does this answer tell me that you are suitable for management?
M: Sir, this answers shows I am well informed about my hobby and follow it with passion. Thus, this shows that I will do justice to my management studies and will do the same in my work thereafter.

P1: How many interviews you have had? All over?
M: No sir, this is the fourth, I have IIM C left.

P1: which calls you have?
M: A C I KL

P1: Which you don't have?
M: B and S.

P1: ahh, you have so many calls, you will convert one of them, and will get into management, very good chances.
M: yes sir, i am very confident of converting at least two.

P1: Good, that was I asking tell me your probability of getting into IIM L.
M: Sir, I would give myself 70%.

P1: Why 70 and not 100?
M: Sir, 10% weightage is for work ex. and 5% for grad score. So, I am basically competing for just 85% and I have doen reasonably well for 70%. So I said 70%.

P1: Fair enough!
Looks at P2.
P1 and P2: That will be all, Thank you.
M: Thank You sir!

All in all feel good, they never stressed me out. P2 laughed throughout the interview. P1 was also very cordial.

Tuesday, March 17, 2009

IIM A Interview Experience

Date 6 March



Cat percentile 99.97

We were 8 students in our panel and there were 4 such panels.

Essay

We were given 10 mins to write an essay in the area provided in the interview form. We were forewarned to stop rightaway when we are asked to stop. Essay topic was how other games were not eclipsed by Cricket and something like that.

Wrote a decent essay.. examples from olympic winners not getting padma awards etc..

All in all a good 10 mins to start with.

Interview

I was last in the panel and the panelists told us that they will take 15 mins each.

They took a break just after the 7th guy left and it started to scare me.. :)

P1: Old prof to my left

P2: Old prof to my right. ( Mr Rajendra Patel) http://iimahd.ernet.in/faculty/facultydetails.php?id=214&farea=refarea&section=area

M: me

P2 called me in.

Pleasantries and was asked to sit.

P2: Please show me this certificate and explain what it is.

I stood up went close to P2 and showed the Gold medal certi and explained it was given to me for getting the highest marks in CBSE Board amongst all thirteen schools run by Bokaro Steel.

P1: Good, Very Good!

P2: Ok XXX , you have done electrical engg from IIT Kanpur.

M: Yes Sir!

P2: There were a few electrical enggs before you, what did they tell you?

M: Sir, they told me you were asking probability questions?

P2: Probability? What probability?

M: Sir, they were telling you gave questions about probability etc

P2: Ok.

P2: How would you explain to a layman why he pays for electricity? Electrons come to his home and then he returns it back, he doesn't keep any why should he pay for it?

M: Sir, although he is not keeping any electrons, but energy is required to maintain this flow of electrons and the power company thus needs to be compensated.

P2: Speak in layman's terms

M: Sir, it is like the current won't flow unless there is potential difference.

P2: Speak in layman's terms.

M: Sir, we can think it as water flowing, water flows on a slope similarly .

P2: Ok

P2: Ok tell me how will you explain integration to a layman. And dont tell me area under the curve ok.

M: Sir, it is basically a better form of summation when the function is discrete you can use sum, but when it is continuous it can't be summed, so we break into parts.

P2: Now you are using discrete continuous, I have told you four times speak in layman's terms.

M: Sir, take a Asymmetric figure, now if we need to find the area of this figure, summation would not help us, but we would need integration to do it.

P2: DO you know transmission losses form the major part of power losses?

M: Yes sir

P2: What is done to prevent these losses?

M: Electricity is transmitted a very high voltage 11 KV or 22 KV or even higher. This is done to reduce i^2r losses.

P2: Any other?

M: We can use better equipment, better transformers

P2: Is the purpose of transformer to cut power losses?

M: no sir, thats not it primary purpose but in course of transmission we need a lot of transformers and if we have efficient ones, we can reduce losses.

P2: WHat is the primary purpose of a transformer?

M: Either to step up or step down voltage depending on the need.

P1 Takes over

P1: Ok XXX, You have done electrical engg from IIT Kanpur, Can you make electricity flow without a wire

M: Sir it won't be practical but it can be done.

P1: How?

M: Sir, if we apply voltages at sharp points, the air around the points will breakdown into ions and then start conducting. Sound and corona discharge will accompany this phenomena and this will be very inefficient way of transmitting electricity.

P1: How far?

M: very small distances around 1 mm.

P1: Ok, this sound and light thing doesn't look practical. ANy other way?

M: Sir, basically what I did there was made air an conductor and replaced wire by air. If we have to remove wire, we can use any other conductor ( smile). May be water.

P1: Yes ( smiles)

P1: Ok do you know function of a function, can you differentiate it?( passes me a paper) We use a lot of calculus in Management.

M: Sir, it is basically defined when the independent variable is not a basic. For example y=f(x) and x=g(z) then y=f(g(z))

P1: Now differentiate it?

M: y'=f'(g(z)g'(z)

P1: What is that prime business ? (smiles) write simply

M: dy/dz=d(f(g(z)))/d(g(z))xd(g(z))/dz

P1: why is this a product and not a sum? Can you prove it?

M: yes sir.. I prove it using basic definition of derivative and the chain rule fo limits. he takes the paper and verifies it.

P1: Can you give an example?

M: yes, y=cos(sinx).

P1: Now differentiate it

M: y'=-sin(sinx) cos x

P1: Good.

P1: XXX, Can you tell me the difference between electrical force and gravitational force?

M: Electrical force can be attrcative or repulsive but gravitational force is attractive only.

P1: Ok, Do you know the nucleus, there are only protons, are they like charges?

M: yes sir.

P1: Then why don't they come out and break the nucleus?

M: Sir, there are three forces inside the nucleus. Electrical force, gravitational force and nuclear force. The gravitational force is very small and hence neglected. But to counter the repulsive electrical force there is a nuclear force which keeps the protons inside the nucleus.

P2 takes over

P2: Ok, Where are you from?

M: Bokaro Steel City

P2:Hmmm, have you heard of the city Mclean? Can you tell me the country it is in?

M: No sir! ( I did not take a guess )

P2: Brussels?

M: Belgium?

P2: DO you know why most indian rivers originate from north and then flow into east or west?

M: Sir, the melting ice of himalayas act as the source of rivers, hence they originate from there. The rivers then flow southwards due to the slope and they move eastwards or westwards due to the terrain they face in their course.

P2: Ok can you tell me the names of all major cities on the banks of river ganga from west to east?

M: Haridwar.

P2: Before Haridwar?

M: Rishikesh.

P2: Ok Continue

M: Rishikesh, Haridwar, kanpur, allahabad, banaras, patna, sultanganj, Kolkata.

P2 looks at P1

P2: Take a toffee

I pick an alpenlibe from the bowl

and say thank you to both of them

P1: All the best.

I am out now..

There was no one left who could tell me the time but it was approx 20-25 mins.

Monday, March 16, 2009

IIM K Interview Experience

Date 27 FEb
Venue IMI New Delhi

Cat percentile 99.97

We were 8 students in our panel and 2 were absent.

GD: It was a case study about how students used to pay their teachers and how that should be the case today with students deciding the salary of professors so that they teach relevant stuff.
Decent GD. No fish market as was warned of. Entered 4-5 times with examples. would rate 7/10

Interview
My panel gave 30 minutes to each student and asked acads and maths mainly.

P1: Young prof to my left
P2: Old prof to my right.
M: me

P1 called me in
Good afternoon and stuff, they asked me to sit. Thanks and proceed

P1: Asks about my poor engg score.
M: Didn't study for various reasons

P1: What should I ask you from elec engg?
M: Not a big fan of it, you may ask maths

P2: Ok, we will ask maths as well
P1: But, why nothing from elec..
M: keep quiet

P2 takes over
P2: There is a cat like test, with 25 questions and 5 options for every question. If the marking is same as cat. Suppose a student guesses all the answers, find the probability that he gets 20 correct and 5 wrong
M: Sir, the probability of getting one answer right is 1/5 and hence wrong is 4/5, thus by using bernoulli's equation we get 25c20(1/5)^20 (4/5) ^5

P2: Good, Can you give me an estimate of this number?
M: you need an appox value?

P2: Yeah
M: if we multiply num and den by 2^25, then deno becomes 10^25 and numerator 2^x
we can write 2^10=10^3 and hence proceed.. similarly for the 25c20 term we can approx all terms as 20 and proceed.. I found a value..

P2: Thats right! Can you do it using poisson's?
M: Sir, I know poissons but I am not sure how to do it here..
Some discussion about poission goes on.

P2: If we continue with the last question, what is the average score of a person?
M: IS there negative marking?

P2: yeah, its cat like exam
M: 0 will be the answer.. 4(1/5) -1(4/5)=0
This is the reason why cat has this marking scheme!

P2: I know why cat has! its not necessarily for that reason.
P2: Plot the graph of x+sinx
M: plot it with some help

P2: can it be decreasing?
M: No sir, thats an approx plot
I show him using derivatives it can't be decreasing at any point

P2: define e
M: lt n->inf (1+1/n)^n

P2: Is e rational or irrational
M: its irrational

P2: Prove that 2<e<3
M: prove it using binomial expansion

P2: Ok this is your final question?
P2: There are 10 diff books and 3 boys, find the number of ways that each oen gets atleast one.
M: Find the number, he keeps helping as I was determined to show the process of arriving at answers..

P2: good. You have good aptitude, but you must prepare as well. Engineering scores will not be required in management but one must try to do well.

M: I will try my best, Sir!
P2: Ok then!
I was about to stand

P1: What is electromechanical enrgy conversion? How does a motor do that?
M: told

P1: Can there be a 5 pole motor?
M: No ( biggest goof up )

P1: WHy?
M: Magnetic poles appear in pairs..

P1: Ok what do u blog about ( blogging is my hobby, my blog has ben ranked among top 100 wordpress blogs)
M: I have 2 blogs, one is general other is maths

P1: Why this obsession with maths?
M: I enjoy it !

P1: Tell me other platforms of blogging
M: Blogger and wordpress are the ones i use..

P1: Any other?
M: Sir, others generally use these two .. but there may be other platforms. These two are the most popular.

P1: Why is it called a blog?
M: Did not answer this

P1: That will be all
P2: You can leave
M: Thank you sir!

All in all it lasted around 30 mins.. P1 was not very happy with my acads.. He was using his laptop all the while P2 was asking me maths questions

Tuesday, January 13, 2009

My CAT 2008 Score

Hi People,

I am sure quite a few of you who visit this blog took CAT 2008, as did I. And on 9th Jan 2009, came the results after about two months and the result was according to expectation at least for me, and I hope it was same for you.

My Scores

Quant     64 ( 16 Correct, 0 incorrect)  99.88%ile

Logic and DI  44 ( 12 correct, 4 incorrect) 98.43%ile

Verbal     76 ( 21 Correct, 8 Wrong)  99.49%ile

Overall  184  ( 49 Correct, 12 Wrong) 99.97%ile

Calls:

IIM Ahemdabad, Calcutta, Indore, Kozhikode, Lucknow!

Wish me luck for the next stage!!

Thanks a lot for being with me !

Best of Luck everyone!