Basics of Set Theory with Venn Diagrams

April 5th, 2019 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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Logarithm Concepts Questions and Answers for CAT Exam Quant Preparation

April 4th, 2019 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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How to Find Number of Trailing Zeros in a Factorial or Product

April 3rd, 2019 by

In this Number of trailing Zeros blog post, We would like to cover these two ideas: Number of trailing zeroes in a Product or Expression Number of trailing zeroes in a factorial (n!) But before I begin, let us first try to understand what exactly are ‘trailing zeroes’. It is nothing else but the number of zeroes at the end. I do not want to sound pedantic but on many occasions when you see a question which asks about, “What is the number of zeroes in ___” it is incorrect, because it should actually say – “What is the number of trailing zeroes?” or “What is the

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Percentage concepts, questions and shortcut tricks for the CAT exam

April 2nd, 2019 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

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Critical Reasoning Tips – Strengthening and Weakening Arguments

April 1st, 2019 by

Critical thinking holds a significant place in verbal ability section of CAT. Around 3-5 questions are based on the critical reasoning in CAT. Critical thinking involves the process of actively and skillfully conceptualizing, applying, analyzing, synthesizing and evaluating information to reach an answer or conclusion. Critical thinking is not hard thinking nor it is directed at solving problems. Critical thinking is inward-directed with the intent of maximizing the rationality of the thinker. Questions based on critical reasoning are the paragraph format followed with the series of questi

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