Permutation and Combination – Division and Distribution of distinct objects

May 18th, 2019 by

Division and distribution is an important topic in permutation and combination. In this topic we learn how to divide the objects in groups or how to distribute these objects between different persons. This topic contains lots of categories. First category is we have to look which type of object we have to distribute either identical or distinct. Here we will discuss the concept of distribution of distinct objects later in second article we will discuss distribution of identical object. Let’s start to understand this concept with various examples. Division of distinct object in various g


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

May 17th, 2019 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.


How to Solve Number of Integral Solutions Questions for CAT Exam

May 16th, 2019 by

Equation type: Ax + By = C Few rules to find integral solutions of this type of equations. First, reduce the equation in lowest reducible form. After reducing, if coefficients of x and y still have a common factor, the equation will have no solutions. If x and y are co-prime in the lowest reducible form, find any one integral solution. The rest of the solutions can be derived from that integral solution. For each successive integral solutions of the equation, the value x and y will change by a coefficient of the other variable .If the equation is of the type Ax - By=C (


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

May 15th, 2019 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.


Functions from Algebra – Basic concepts and application for Quantitative Aptitude in CAT Exam

May 14th, 2019 by

"Functions can be really DECEPTIVE!!". Yes, it is true.Many a time aspirants do get stuck .  How to start,? How to perceive?  These are the FAQ when it comes to Functions and its application. Given the CAT trend, the questions are of standard type with a slight innovation. But the root approach remains the same. The hurdles can be categorized as  Trigonometric Functions, Algebraic functions, Modulus functions, Even/Odd, etc. In this article, some of the common structure of questions are discussed.!! Many quantities depend on one or more changing variables. For example: (a) Pl


How to solve Logical Reasoning questions based on Ranking and Ordering

May 13th, 2019 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


Sequence and Series Problems and Concepts for CAT Exam Preparation

May 12th, 2019 by

Sequence and Series topic of Quantitative Aptitude is one the most engaging and intriguing concept in CAT. Since childhood, we love solving puzzles based on sequence and series. Sequence and series are closely related concepts and possess immense importance. We all have heard about the famous Fibonacci Sequence, also known as Nature’s code. This sequence can be used to model or describe various phenomena in the field of biology, mathematics, nature, art etc. The sequence is 0, 1, 1, 2, 3, 5, 8, 13... so on. As we can see, the next no. in the sequence is the addition of previous two numbe


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

May 11th, 2019 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


Circles Part -2 : Sample Questions for CAT Exam

May 10th, 2019 by

In the earlier post on circles, we had discussed the properties and some sample CAT questions related to circles. In this post, we will see some additional CAT questions which have been asked in the previous years. Let us look at below examples. Example 1: A one rupee coin is placed on a piece of paper. How many more coins of the same size may be placed such that each touches the central coin and the two adjacent coins? a.) 7 b.) 4 c.) 5 d.) 6 Solution:  It can be seen in the below figure that if we place 3 coins touching each other, their centers form an equilateral tri


Binomial Theorem – Concept and Applications

May 7th, 2019 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