Concepts of Co-primes: Co-primes are those numbers which do not have any common factors between them. For e.g. 4,9,77, are co-primes as they don’t have any common factors. Note: Co-primes will not always be prime nos. 64 and 27 are co-primes but not prime numbers. There are three types of questions based on co-primes: 1. Number of ways of writing a number as a product of two co-primes If N=ap .bq .cr …….., then, the number of ways of writing N as a product of 2 co-primes is 2n-1, where ‘n’ is the number of distinct prime factors of the given number N. Let’s understood

Read More...

CAT 2020 Exam Notification released today (29th July) on the official website. The exam will be held on 29th November 2020 (Sunday) in two slots. This examination is one of the toughest examinations to take admissions in Management Schools of India. Candidates have to register and fill the CAT 2020 Application form online to enroll themselves for CAT 2020. However, you can fully complete your CAT 2020 Preparation with offline coaching or the Best Online CAT Coaching from now on, keeping November as the month of the exam in mind. SCORE MORE IN CAT 2020 EXAM WITH OUR ONLINE CAT COURSE

Read More...

Sum of all numbers formed from given digits: If n distinct digits are used to make all the possible n-digit numbers, we get n! numbers. We now want to find out the sum of all these n! numbers are added together. Let us take an example and understand how it is to be done and then look it as a formula. To find the sum of all the four digit numbers formed using the digits 2,3,4 and 5 without repetition: We can form a total of 4! or 24 numbers. When we add all these numbers, let us look at the contribution of the digit 2 to the sum. When 2 occurs in the thousands place in a particular

Read More...

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

Read More...

I got a lot of feedback via emails and texts that people are looking for a post on geometry. I have been avoiding it for sometime because of two main reasons: a)      It is not one of my strong areas. b)      It takes a lot of time to draw the diagrams that are sometimes required to explain the fundas. The questions on geometry are the trickiest and consumes the maximum amount of time as compared to the questions on other topics in Quantitative aptitude that is why, I have compiled a list of fundas that you might find helpful in solving CAT level questions. I am splittin

Read More...

Months have passed, Days are passing by swiftly and with each day you are progressing closer towards CAT exam. As hours, minutes and seconds pass we cannot afford to lose a single second recklessly. In short, Time is running out and we still need to do a lot of work! Time and work is something that always runs in parallel with each other. We are always in short of time as compared to the work to be done. Today I will tell you how to manage your little time and paramount of work problem and this also will serve the relevant purpose of writing this blog i.e. Time and Work problems in quantit

Read More...

Distribution of identical object is quite wide and important topic in permutation and combination. While distributing identical object it does not matter which object is given to which person, what matter that how many objects are given to any person. Let us take a basic example to understand the concept of this topic let us assume we have to distribute five identical apples between two students such that a student can get any number of apples. If we give zero apple to first student second student will get all the five apples and if we give one apple to first student then other student

Read More...

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

Read More...

In this post, we will learn about logical reasoning concepts on selection and group formation that is frequently asked in CAT exam. This topic generally deals with the selection of a team of say ‘r’ members from ‘n’ (n>r) available for selection or it can be the selection of committee of certain number of members. Certain number of constraints drives this selection. In order to understand these constrains and the implicit details related to them, let us start the discussion with an example. Question: Among five students of group I – A, B, C, D, E and six students of group I

Read More...

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

Read More...