Wiley's ExamXpert Quantitative Aptitude (QA) Simplified for CAT 2019
ISBN: 9788126579679
774 pages
eBook also available for institutional users
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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