# Remainder Concepts for CAT – How to Find Out Remainder of a Number with Power?

March 16th, 2021 by

Figuring out the last digit is the same as figuring out the remainder of a number when divided by 10, but I guess you already know that. Figuring out the last two digits is the same as figuring out the remainder of a number when divided by 100. However, if you wish to figure the remainder when the divisor is not 10 or 100, I suggest you read on. Funda 1 of Remainders:  Basic idea of remainders can be used to solve complicated problems.     There is nothing special or unique about this idea. At first glance it seems like something really obvious. But it is it

# Quadratic Equations – Concepts and Questions with Solutions for CAT Exam

March 9th, 2021 by

Quadratic Equations are first taught to us in 6th or 7th class and most of us are able to score good marks in it because we are able to solve 90% of the questions by just using that formula. And that formula is: The above formula gives us the roots of the quadratic equation ax2 + bx + c = 0 For this post, I am assuming that you are aware of the basics of quadratic equations and know how to use the above mentioned formula. In case you are not, spending five minutes on the wiki page of Quadratic Equations won’t hurt. Wikipedia can be daunting at times, so come back here as soon a

# Clocks – Concepts and Questions with Solutions for CAT Exam

March 6th, 2021 by

Questions on clocks (or even calendars) are not really frequent in CAT these days. They used to be really popular few years ago. Having said that, it is always better to understand some of the basic principles and the types of problems that get asked. They might come in handy in case of other exams like CMAT, MAT, SNAP, etc. Clock problems can be broadly classified in two categories: a)      Problems on angles b)      Problems on incorrect clocks Problems on angles Before we actually start solving problems on angles, we need to get couple of basic facts clear: Sp

# Basics of Data Interpretation – Approximation

March 1st, 2021 by

Data Interpretation questions typically have large amount of data given in the form of tables, pie charts, line graphs or some non-conventional format. The questions are calculation heavy and typically test your approximation abilities. A very large number of these questions check your ability to compare or calculate fractions and percentages. If you sit down to actually calculate the answer, you would end up spending more time than required and most of us can't afford to lose precious time during competitive exams like CAT, XAT, IIFT etc.  Here are few ideas that you can use for approxim

# Factorial Concepts for CAT – Rightmost digit, Ending Zeroes, Power of a Prime

February 22nd, 2021 by

We all know what factorials (n!) are. They look friendly and helpful but looks can be deceiving, as many quant problems have taught us. Probably it is because that Factorials are simple looking creatures, most students prefer attempting questions based on them rather than on Permutation & Combination or Probability. I will cover P&C and Probability at a later date but in today’s post I would like to discuss some fundas related to factorials, which as a matter of fact form the basis of a large number of P&C and Probability problems.   Some of the factorials that mig

# Logical Reasoning Basics – How to solve coin picking / matchstick related problems?

February 20th, 2021 by

In this post, we will learn how to solve Logical Reasoning Problems based on coins and matchsticks picking puzzles. To understand how exactly these kinds of puzzles look like, let’s start the post with a very simple example. The method to solve the example will give better insight so as to how to approach these puzzles. Two smart players A and B are playing a coin game in which they can pick up 1, 2, 3 or 4 coins. They have 78 coins and the player who picks the last coin will lose the game. A and B play alternately and A plays the first move. How many coins should A pick at first so h

# Percentage concepts, questions and shortcut tricks for the CAT exam

October 26th, 2020 by

Understanding Percentage The word “Percent” can be understood as “per 100” or “out of 100”. Percentage in itself is a dimensionless number used to tell how many parts per hundred are being considered. It is often denoted using the percent sign, "%". The reference point for calculating percentage is taken as 100. If in a class of 100 students, 90 students passed in a subject then the percentage of students who passed in the exam is 90%. Had the total number of students been 200, the percentage would have reduced to 45%. This is because 45 students out of every 100 students pas

# Number System Concepts for CAT – Even Factors, Odd Factors, Sum of Factors

September 21st, 2020 by

let me first list down the topics that I am going to cover in this particular blogpost: Number of factors of a given number Number of even factors or odd factors of a given number Sum of all factors of a given number Sum of all even factors or odd factors of a given number   We know that a number N can be written as a product of its factors as given below   N = ap x bq x cr … Here a,b,c… are prime factors of N & p,q,r … are the powers of the prime factors of N.   In such a case the number of factors of N are given by the formula &

# Divisibility Rules for CAT Quantitative Aptitude Preparation

September 19th, 2020 by

The concept of ‘divide and conquer’, derived from the Latin phrase ‘Divide et impera’, was put into use effectively by everyone from Caesar to Napoleon to The British in India. Even Gaddafi tried using the same but as current events show us – he wasn’t very effective. Dividing rather divisibility rules to be specific can come in really handy at times in solving problems based on Number Systems. The standard rules which nearly all of us are very comfortable with are the ones for 2n and 5n. For these all that one needs to do is look at the last ‘n’ digits of the number. If