# Wiley's ExamXpert Quantitative Aptitude (QA) Simplified for CAT 2019

ISBN: 9788126579679

774 pages

eBook also available for institutional users

## Description

Wiley ExamXpert Quantitative Aptitude Simplified for CAT 2019 has been written keeping in mind the needs of those who wish to enhance their quantitative aptitude for the various management entrance examinations. The book adopts a unique pedagogical style in that it discusses key concepts of Quantitative Aptitude by providing illustrations and solved examples and follows each key concept by a battery of questions relevant to that concept for better learning retention. The book has been authored by a renowned CAT taker and 99 percentile scorer Ashu Jain, who has experience of two decades in mentoring a broad spectrum of students for various entrance examinations such as CAT, BMS, MCA and IIT JEE in their journey towards accomplishing the goal of admission in top management institutes in the country.

Acknowledgements

Brief Contents

Introduction

1. Number System – I: Factors, Multiples and Exponents

Types of Numbers

VBODMAS Rule

Divisibility Rules

Surds and Indices

Factors of Composite Numbers

LCM and HCF

Vedic Maths

Practice Exercise

2. Number System – II: Remainders, Factorials and Base System

Remainders

To Find the Last Digit of Numbers

To Find the Last Two Digits of Numbers

Factorial

Base System and Conversions

Practice Exercise

3. Commercial Math

Percentage

Profit and Loss

Simple and Compound Interest

Practice Exercise

4. Ratio, Proportion and Mixtures

Ratio

Proportion

Variation

Partnership

Averages

Mixtures and Solutions

Practice Exercise

5. Time and Work

Time and Work

Pipes and Cisterns

Practice Exercise

6. Time, Speed and Distance

Average Speed

Applications of Ratio and Proportion

Relative Speed

Upstream and Downstream Motion

Circular Motion

Clocks

Practice Exercise

7. Polynomials, Algebraic Formulae and Linear Equations

Polynomials

Algebraic Formulae

Polynomial Equations

Linear Equation

Practice Exercise

8. Quadratic Equation

Nature of Roots

Relationship Between Roots and Coefficients of Equation

AM, GM, HM and Roots of Equations

Continued Fractions

Common Roots

Graphical Interpretation of Quadratic Function

Practice Exercise

9. Functions and Graphs

Open and Closed Interval

Domain and Range

Common Functions and their Graphs

Even and Odd Functions

Inverse of a Function

Composite Functions

Recursive Functions

Rotation of Graphs

Practice Exercise

10. Inequalities, Maxima and Minima

Inequalities

Fundamental Rules

Linear Inequality

Quadratic and Higher Order Inequalities

Modulus Based Inequality

Logarithmic Inequality

Maxima and Minima

Introduction

Use of AM, GM and HM

Practice Exercise

11. Logarithms

Definition

Rules of Logarithms

To Find the Number of Digits in a Number

Practice Exercise

12. Progressions

Definition

Arithmetic Progression (AP)

Geometric Progression (GP)

Harmonic Progression (HP)

Three numbers in AP or GP or HP

Arithmetic-Geometric Progression (AGP)

Special Series

Practice Exercise

13. Set Theory and Venn Diagrams

Set

Subset

Universal Set and Complement of a Set

Operations on Sets

Venn Diagrams

Properties

Practice Exercise

14. Permutation and Combination

Fundamental Principle of Counting

Permutation and Combination

Applications of Fundamental Principle of Counting

Circular Arrangements

Applications to Geometrical Figures

Group Formation

Practice Exercise

15. Probability

Product Rule for Independent Events

Binomial Probability

Conditional Probability

Bayes’ Theorem

Geometrical Probability

Practice Exercise

16. Plane Geometry

Lines and Angles

Triangles

Quadrilaterals

Practice Exercise

17. Polygons and Circles

Polygons

Circles

Practice Exercise

18. Mensuration

Cube

Cuboid

Sphere and Hemi-Sphere

Right Circular Cylinder

Right Circular Cone

Pyramids

Prisms

Tetrahedron

Frustum

Euler’s Theorem

Practice Exercise

19. Coordinate Geometry and Trigonometry

Coordinate Geometry

Distance Formula

Section Formula

Centroid and Incentre of a Triangle

Area of a Triangle

Collinearity

Equations of Straight Line

Parallelogram

Angle between Two Lines

Concurrent Lines

Distance between a Point and a Line

Distance between Two Parallel Lines

Position of a Point with Respect to a Line

Trigonometry

Basic Results

Trigonometric Functions of Common Angles

Practice Exercise

Solved Papers

CAT 2017 QA and DILR Tests Slot 1

CAT 2017 QA and DILR Tests Slot 2

CAT 2018 QA and DILR Tests Slot 1

CAT 2018 QA and DILR Tests Slot 2