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Things that make your day: A testimonial

Below is a mail we received from a former CL student today.


Hello !

I know its late...but really wanted to thank you all for the contribution you have had in shaping my future...d modesty ingrained in teachers normally doesnt allow them to gauge the level of their contribution but sach mein...speaking from the bottom of my heart...had it not been for u all I simply would not have been able to reach dis place.
n its actually not about this place...but about various other traits that i have learned from you that would hold me in good stead in life.

n yea i promise that iss baar will try n study achche se...so that academically bhi i m able to do justice to myself:)

Summers in november...dats d next on target...yahan sab kuch jaldi jaldi karte hain...n haan competition bhi bahot hai coz of relative grading...wing mein ek banda pad raha ho toh baakio ko bhi guilty feel hone lagta hai:( have been trying to resist all this...lets c kab tak !!!

my aim was to make you all feel special and sabki best wishes lene ka...hope dono fulfill honge:)

once again thank you for everything...will keep in touch through mail/phone.

--
Rohan Mahajan
IIM Calcutta PGDM 2008-10

2007 Cutoff list(top CET Institute) as per the state merit Rank

Note:
h: home university student
o: other than home university student (maharashtra)
So you can always use this as reference to get an idea which college you will get this year. This will help you to fill your optional form.

Some basic DI tools

Here are some really basic tools to help you make calculations faster. I am not including the usual "vedic math" or "speed calc" techniques. I found that simpler methods help more!

I am sure you are all aware of that ubiquitous formula (a+b+ab/100). But I am equally certain that you (or even me, for that matter) have discovered even half of the uses of this formula. Well, for now, lets focus on its use in division.

As a really simple starter, lets take a division question:

If 1/3 = 33.33%, what is 1/2? Obviously, its 50%, silly! So, what does it have to do with that formula? Here's what:

Apart from its more popular uses like successive discounts etc, this formula holds true for ANY product of two or more quantities. In fact, this is the most generalized use of the formula. If P=AxB, then an change of a% in A and b% in B will result in a change of (a+b+ab/100)% in P. Conversely, if P has to remain constant, an a% increase/ decrease in A will necessitate a corresponding change of a/(100+a)% or a/(100-a)% in B respectively.

Now,
1/3=33.33% can also be written as 1=3 x 33.33% and
1/2=50% can also be written as 1=2 x 50%.

So, the product has remained constant at 1. 3 has decreased to 2. That's a decrease of 33.33%. According to the formula, the other factor will increase by 33.33/(100-33.33)= 50%. So, 33.33% will increase by 50% to 50%.

This may sound too obvious and easy, but take a look at what you can do with this. How would you calculate, say, 113/256? Now, we know that 113/226 = 1/2=0.50. Using this fact, we can calculate the deviation from 0.5. Since 256 is 30/226 or roughly 1/7.5 or 2/15 or 13.33% more than 226, it means that the final result will be 13.33/(100+13.33)% less than 0.5. That is, approx. 12% less than 0.5, or 0.44. That is fairly close to the correct answer that is 0.4414!

Even if you had taken 13% (instead of dividing it by 113.33), you would have been quite close at 0.45! The key is to round off the denominator to a "convenient" number. And if your denominator deviation is not more than 15%, you can simply take this same deviation as correction in your answer. To summarize, follow these steps:

1. Round off the denominator to either a multiple/ factor of the numerator, or to the nearest hundred. This way, the calculation will be easier for the new fraction.
2. Calculate the percentage deviation from the actual denominator. You may use approximations depending on the need of the hour.
3. Provided that the percentage deviation is less than 15%, adjust your answer by the same percentage in the "other direction".

Obviously, this involves a fairly high amount of calculation, but the good news is that it will get easier with a better knowledge about percentages.

Why don't you go ahead and try out the following:

135/283=? (Hint: Take 283 as 270 or 300)
178/1327=? (Hint: Take 1327 as 1300)

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