Most of you know why you are reading this article – to gain some knowledge, to sharpen your skills and ultimately to clear CAT and get most coveted IIM calls for admission in India’s top-notch B-schools for a colorful MBA degree. Right? But how many of you know that why do you want an MBA-degree? Your answers can be – money, lucrative job, and exotic work culture, higher growth in pay package or status symbol. Hmmm. But what after that – are there any more targets or any more goals to achieve? May be you have never thought of that.

I was asked these series of question by one of my friend in 2^nd semester of my graduation from Delhi College of Engineering. My responses were in similar fashion but he was insisting on the point that ‘what after this’ every time. He said, “All these are targets for some coming years only but what is your ‘Ultimate Aim of Life’. And how these smaller goals are directing you towards achieving that ultimate goal?” I was clueless because I’d never thought that way. He showed me one book and pointing towards the picture on the cover page he said, “This planet is my ultimate aim of life.” The book was Srimad Bhagwatam by Srila Prabhupad.

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 2021. 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 .

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.

Some properties of natural numbers :

1•Sum of first n natural numbers : 1 + 2 + 3 +……+ n = n ( n +1)/2

2• Sum of squares of first n natural numbers : 1² + 2² + 3² +……+ n² = n ( n +1) ( 2n +1) /6

3• Sum of cubes of first n natural numbers : 1³ + 2³ + 3³ +……+ n³ = [ n ( n +1)/2]²

4• Sum of first n odd numbers: n²

5• Sum of first n even numbers: n² + n

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

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 a^m = x, then we can write: m = log_ax, 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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Lessons

Inequalities (Inequalities – maxima and minima.)