Important Concepts and Formulae

 

Hello CAT takers,

Now that we are just a few days away from CAT, you must be revising everything for one final time before CAT. Here is a compilation of all the important Concepts and formulae for Quant. Whether you need to revise the formulae or you need them while solving problems of different topics, it’s all at one place for your ready reference.

Download it and use it for your benefit. 

Important Concepts for CAT2018

The only certain thing about CAT is uncertainty!

We hope that you are already done with your preparation for CAT 2018. You must have revised the syllabus again and again to make yourself comfortable. We know it because we have heard it from….yes, literally everyone! However, many of you are preparing with books which were written 5-6 and in some cases 10 years ago. During this time period IIMs have changed their directors multiple times, as have their faculty members and, not to mention, their CAT test patterns and types of questions .

We at TathaGat observe, analyse and attempt the CAT paper every year to bridge the gap. With an in-depth analysis of the changing trends in CAT we have picked the most probable problems which expose you to all sorts of techniques used while framing a question. Practise them to your full strength during the last days of CAT preparation .

Solve these questions without any time limit. The answers are given on the last page. In case you find any difficulty you can ping us in the relevant forums (https://www.tathagat.mba/forums) without any hesitation .. we are always eager to help you out ..

Download the file from the link given below:  

101 Must Solve QA

 

 

 

PRIME NUMBERS : The Most Mysterious Figures in Math 

Prime numbers have always fascinated mathematicians. They appear among the integers seemingly at random, and yet not quite: there seems to be some order or pattern, just a little below the surface, just a little out of reach.
—Underwood Dudley

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. For example, 11 is a prime number because it has no positive divisors other than 1 and 11.

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Noun

This lesson covers the fundamentals and types of nouns, knowledge of which will help you in B-school entrance exams like the NMAT, SNAP and IIFT.

So, let’s get started!

Noun: A noun is a word that is used to name a person, animal, place, thing, or an abstract idea. Nouns tell you about the ‘what’s’ ‘who’s’ and ‘where’s’ of a sentence. Let’s see an example: TG and Dagny went to Maxims to order a chocolate truffle cake.

TG and Dagny are persons, Maxims is a place and chocolate truffle cake is a thing.

Nouns can be broadly classified into

  • Common nouns
  • Proper nouns
  • Concrete Nouns
  • Abstract Nouns
  • Countable Nouns
  • Non-Countable Nouns
  • Collective Nouns
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Similar Triangles

Similar Triangles

The current article deals with a frequently occurring topic in geometry in CAT- similarity of triangles. Most of you will notice that this topic is coming year after year in CAT and, as geometry questions in CAT are easy compared with other topics, mastering the concept is easier than mastering concepts in Algebra, Permutation, and Combination, or Probability.

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 Divisibility Rules
A. Divisibility by 2, 4, 8, 16, 32.

A number is divisible by 2, 4, 8, 16, 32,.. 2 when the number formed by the last one, two, three, four, five…n digits is divisible by 2, 4, 8, 16, 32,..2 respectively.

Example: 1246384 is divisible by 8 because the number formed by the last three digits i.e. 384 is divisible by 8. The number 89764 is divisible by 4 because the number formed by the last two digits, 64 is divisible by 4.

B. Divisibility by 3 and 9

A number is divisible by 3 or 9 when the sum of the digits of the number is divisible by 3 or 9 respectively.

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LOGARITHM

If a is a positive real number other than 1, and am = x, then we can write: m = logax, and we say that the value of log x to the base a is m.
Examples:

(i) 104 = 10000     log10 10000 = 4.

(ii) 35 = 243     log3 243 = 5.

(iii) (0.1)3 = 0.001     log (0.1) (0.001) = 3.


Properties of Logarithms

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Remainder Theorems

Remainders-CAT-MAT-GMAT

It is uncanny how children pick up a lot of small habits and beliefs of their parents. Even the ones that rebel against their parents bear the subconscious resemblance to their father or mother. There is a lesson for instructors in this. It is important for them to realize that students mirror their feelings about CAT. If the instructor expresses or feels that CAT is tough, or is fearful about CAT, his students will mirror the same feeling and will be less confident. If the instructor is brazen and casual about the paper and scoffs the competition, his students would reflect the same feelings. Also, it is so necessary to have unflinching faith in one’s students. I still remember that during my school days my mother used to proudly proclaim that I was an intelligent kid. I was barely scrapping passing marks in the school exams. If truth be told I was at the bottom of the class, but my mother had her blinkers on. And because of my mother, I also believed that I was second to none. It was only years later, during my boards exams, that I took to studying seriously, and managed to outperform everyone else. I don’t know if it was my mother’s blind love for me or that she could see some bright spark in me that made her claim my intelligence but it really had great effect on my attitude. And attitude, in an exam like CAT, is everything.

Well, it’s almost everything. A keen attitude towards CAT subjects’ fundamentals also plays an important role in one’s performance.

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