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

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Ratio and Proportion – Concepts, Properties, and CAT Questions

February 27th, 2021 by

Ratio and Proportions is one of the easiest concepts in CAT. It is just an extension of high school mathematics. Questions from this concept are mostly asked in conjunction with other concepts like similar triangles, mixtures and allegations. Hence fundamentals of this concept are important not just from a stand-alone perspective, but also to answer questions from other concepts 1.  Ratio (Concepts and Properties) Many a times we compare two data values of the same type. One way to do this is to find out the difference (a-b). Other method of comparison could be by division or finding ou

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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

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Averages Concepts from Arithmetic – How to apply in CAT Questions?

February 15th, 2021 by

Average is mainly defined as the sum of observations divided by the number of observations. Keeping in view the Quantitative Aptitude section of any competitive exam and especially CAT, 1-2 questions are asked from this chapter. It is not a difficulty chapter if you know the tricks to solve the question in very less time. Averages Concepts and Properties: Average= (Sum of observations)/(Number of observations) Important Points: In past year Cat questions, a number of times concepts of age/height/weight and average has been mixed together. Here are some important points to remember

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Determining the second last digit and the last two digits

October 10th, 2020 by

Nike caused controversy with its advertising campaign during the 1996 Olympics by using the slogan, "You Don't Win Silver — You Lose Gold." Nike's use of this slogan drew harsh criticism from many former Olympic Silver medallists. In a way, it did undermine the importance of the second position but in Math things are often very different. Figuring out the second last digit is often tougher than figuring out the last digit. It is unlikely but definitely not impossible that in CAT you get a straightforward question that asks you to find out the second last digit of a number (abcpqr). In fe

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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 &

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CAT Quant – Escalator Based Problems in Time, Speed, and Distance

September 20th, 2020 by

Escalators has now become a topic from which questions are asked quite frequently in CAT. Today, we are going to see the theory behind escalator questions and solve them through both equations and ratios. Once you are through with the concept and are able to solve the questions in this article, you can solve any question from this topic Escalator questions are very similar to the upstream and downstream questions. In a stream, the direction of flow of water is constant whereas, the escalators move in both directions. Escalator questions can be confusing as sometimes, questions might not

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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

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Quantitative Aptitude Questions in the CAT Exam – A Complete Analysis

August 28th, 2020 by

Quantitative Aptitude is an important part of the CAT Exam. As a matter of fact, it will not be wrong to say that it is the most important part of the CAT exam because the most amount of time is spent on preparation of the Quantitative section. Should it be that way? – Perhaps the answer is yes for a few students but the actual number of CAT aspirants who make Quant their top priority is much larger than it needs to be a reason. And do you know the reasons behind that? First and foremost, it is the inherent fear of Math. We are often afraid of what we do not understand fully and Quant

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Geometry Fundas for CAT Quantitative Aptitude Preparation – Part 2

July 27th, 2020 by

In the previous post we discussed lines, triangles, parallelograms, trapeziums, polygons etc. Now, we will discuss other expanses of geometry which are vital as, the questions on these topics are asked repeatedly in CAT. Let us look at few of the fundas / formulae on these topics that are often neglected by students and can fetch some crucial marks in the exam. Funda 1: Angle made by Secants       2 .   In both these cases, PA * PB = PC * PD   Funda 2: Common Tangents     eg: Note: The two centers

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