Circles (Concepts, properties and CAT questions)

July 20th, 2020 by

Concepts of a circle are very important for CAT examinations. There are lots of properties to understand and some formulas to remember. Several direct and sometimes indirect questions are asked from concepts of a circle in CAT exams. Also, some of the geometry questions cannot be solved without having a proper understanding of CAT concepts. Let’s take a look at some of the concepts and CAT questions related to circles. 1. Arc: An arc is just a part of a circle. An arc can be measured in degrees. In the above diagram, the part of the circle from B to C forms an arc. Also, arc BC

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Binomial Theorem – Concept and Applications

July 16th, 2020 by

Binomial Theorem is a very intriguing topic in mathematics due to its wide-ranging application. Before moving forth with its use, let me ask you a question? Do you remember what’s is (a + b)2 or (a-b)2? I guess most of you would have easily say (a+b)2 is a2 + b2 + 2ab and (a2 – b2) is a2 + b2 -2ab. But, what about (a + b)4? Okay, this is something you can still deduce. Let’s make it a little bit more complex, can you tell what the expansion for would be (a + b)7 or (7a – 5b)10. Now, I think it would not that simple to answer as you did earlier. Here’s something where the binomial

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How to solve caselets / puzzles based questions in CAT Exam?

July 15th, 2020 by

Data Interpretation section of CAT, as the name suggests is all about analyzing substantial data and interpret meaningful or useful results from that huge pile of unessential data. With exploding population, interlinked economies and the recent result of globalization companies are not just dealing with the population of their city or countries but of hundreds of cities and many countries and as a result we have this enormous data that doesn’t make much of sense. The data needs to be categorized, simplified and summarized into numbers, numbers that make sense and form the basis of ration

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How to solve Logical Reasoning questions based on Ranking and Ordering

July 14th, 2020 by

Logical reasoning questions based on ranking involve ordering people/objects based on certain characteristics like height/weight/score etc. In these types of questions, you are supposed to place people/objects in a decreasing or increasing order based on certain attributes. There is not one common method to solve ranking problems and strategy should vary with questions. But there are certain key-steps that can be applied while approaching such questions. They are: Convert written clues into visual clues so that you would not need to read the text again and again and would be able to

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Cyclicity of Remainders for CAT Exam

July 13th, 2020 by

Cyclicity of Remainders In this post I would like to discuss some of the really fundamental ideas that can be used to solve questions based on remainders. If you have just started your preparation for CAT Exam, you might find this article helpful. First of all, What I am trying to say above is that if you divide a^n by d, the remainder can be any value from 0 to d-1. Not only that, if you keep on increasing the value of ‘n’, you would notice that the remainders are cyclical in nature. What I am trying to say is that the pattern of remainders would repeat. Let me try to

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Factor Theory – How to solve CAT questions related to numbers and their factors

July 10th, 2020 by

NUMBER OF FACTORS OF A NUMBER If N is a composite number such that N =ap ,bq ,cr … where a, b, c are prime factors of N and p,q,r ….. are positive integers, the number of factors of N is given by the expression  (p+1) (q+1)(r+1). For example: 140 = 22 x 51 x 71 Hence, 140 has (2+1)(1+1)(1+1), i.e., 12 factors. The basic principle is simple, every number has certain number of factors. You can find manually for the small numbers but for the large ones there is a need of a mathematical formula. The formula is easy to learn, but you should know the basic concept behind this i.

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How to solve Questions on Relative Efficiencies in Time and Work for CAT

July 9th, 2020 by

Work and men are directly proportional to each other, i.e. if the work increases the number of men required increases to complete the work in the same number of days and vice versa. Men and days are inversely proportional, i.e., if the number of men increases, the number of days required to complete the same work decreases and vice versa. Work and days are directly proportional i.e., if the work increases, then number of days required also increases if the work is to be completed with the same number of men and vice versa. The concept of MANDAYS is very important and useful here.

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An introduction to functions (Algebra) for CAT exam

July 7th, 2020 by

Quantitative Aptitude section of CAT has always been proven to be most difficult and challenging especially for all the mathematics haters. Yes, all those who have been running away from Math’s for all these years must now face their biggest fear and there’s no more hiding from it now. Quantitative Aptitude is all about high school elementary math’s, those silly geometry lessons which made no sense then or the Time, Speed and distance problems or Time and work (so confusing).  Also, who can forget the infamous Trigonometry which is still a mystery for most of us? Today in this blog,

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Logarithm Concepts Questions and Answers for CAT Exam Quant Preparation

July 5th, 2020 by

Questions on Logarithm have been asked in exams like CAT and XAT almost every year. More often than not, they are on the easier side but students get scared because they do not understand the concepts properly and hence are unable to attempt them under pressure. In this post, we will try to help CAT aspirants overcome that fear. Let us start with some basics about logarithms. Basic Concept of Logarithm When ax  = N , then we say that x = logarithm of N to the base a and write it as x = logaN . In simple words, it represents the power to which a number must be raised. Let me expand on

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Basics of Set Theory with Venn Diagrams

July 4th, 2020 by

Set Theory is a very important branch of mathematics that has wide ranging applications. It is a very basic and easy concept but has significant use in Algebra, Logic, Combinatorics, probability etc. Thus, for the same reason understanding of this topic is of grave importance to solve various questions in competitive exams such as Banking and MBA entrance exams. A set is nothing but a collection of distinct objects. The objects could be anything numbers, letters, vectors, etc.  For ex, all the students in a class can be grouped into a set or integers such as 2, 3, 4 can form a set etc.

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