# Quant Ability Ebook

₹90.00

This Ebook covers General Mathematics, also known as Quant Ability.

The Ebook is divided into six sections.

### Section A: Numbers

1. Number Systems

• Number Line
• Mathematical Operations
• Order of Operations
• Type of Numbers
• Natural Numbers
• Whole Numbers
• Integers
• Rational Numbers
• Irrational Numbers
• Real Numbers
• Even and Odd Numbers
• Factors and Multiples
• Prime and Composite Numbers
• Factorisation of Numbers
• Number of Factors
• Divisibility
• Divisibility Rules
• Factorial
• Surds and Indices
• Fractions and Decimals

2. Remainders

• Remainder Theorem Transformation
• Remainder Theorem
• Cyclicity of Numbers
• Successive Division
• Prime Numbers
• Fermat's Remainder Theorem
• Euler's Remainder Theorem

3. LCM and HCF

• Lowest Common Multiple
• Highest Common Factor
• LCM & HCF Relation
• Applications: Time & Work
• Applications: Circular Motion
• Applications: Number of Rows
• Applications: Finding Remainder

4. Averages

• Properties of Average
• Meaning of Central Value
• Average Involving Numbers
• Weighted Average
• Average Speed

5. Ratio and Proportion

• Comparison of Ratio
• Proportion
• Variation

6. Mixtures and Alligation

• Rule of Alligation
• Mixing Pure Component
• Mixtures
• Removal and Replacement

7. Percentages

• Percentage Ratio Equivalence
• Basic Rules
• Percentage Changes
• Successive Percentage Change
• Product Stability Ratio

8. Profit and Loss

• Important Formula
• Honest Ways of Profit
• Dishonest Ways of Profit

9. Interests

• Simple Interest
• Compound Interest

10. Speed, Time and Distance

• Conversion Factors
• Average Speed
• Relative Speed
• Problems on Trains
• Boats and Streams
• Circular Tracks

11. Time and Work

• One Day Work
• Time Work Equivalence
• LCM Method of Solving
• Collective Work
• Pipes and Cisterns

### Section B: Algebra

12. Algebra and Polynomials

• Introduction to Algebra
• Algebraic Formulae
• HCF and LCM of Polynomials

13. Equations

• Linear Equations in One Variable
• Linear Equations in Two Variables
• Consistency of a System of Linear Equations
• Solving Simultaneous Linear Equations
• Inequality
• Nature of the Roots
• Cubic Equations

14. Progressions

• Arithmetic Sequence
• Arithmetic Mean
• Geometric Sequence
• Harmonic Progression
• Relation Between A, G, H
• Sum of Natural Series

### Section C: Geometry

15. Geometry

• Point
• Line
• Angles
• Types of Angles
• Pair of Angles
• Parallel and Perpendicular Lines
• Transversal

Polygons

• Types of Polygon
• Angles of Polygon

Triangles

• Types of Triangle
• Right Triangle Altitude Theorem
• Median
• Congruence of Triangles
• Similar Triangles
• Special Triangles

• Mid-Point Theorem

Circles

• Parts of a Circle
• Properties of Circles
• Tangents to a Circle

### Section D: Mensuration

16. Mensuration

• Triangle
• Rectangle
• Square
• Parallelogram
• Rhombus
• Trapezium
• Circle
• Sector of Circle
• Cuboid
• Cube
• Cylinder
• Cone
• Frustum of Cone
• Sphere
• Pyramid

### Section E: Trigonometry

17. Introduction to Trigonometry

• Trigonometric Ratios
• Relationships Between T-Ratios
• Complementary Angles
• Standard Trigonometric Identities
• Heights and Distances

### Section F: Other Topics

18. Permutation and Combination

• Factorial
• Meaning of P & C
• Fundamental Principles of Counting
• Linear Permutation
• Circular Permutation
• Combination
• Distribution of Things into Groups
• Number of Terms in Polynomial Expansion
• Rank of Word

19. Probability

• Experiment and Events
• Sample Space
• Probability of Event