Geometry and Higher Mathematics for the CAT and Other MBA Entrance Examinations

Cover
Contents
Preface
Chapter 1: Geometry
	Angles and Lines
	Parallel Lines
	Triangles
	Geometric Centres of a Triangle
		Circumcentre
		Incentre and Excentres
		Orthocentre
		Centroid
		Similarity of Triangles
		Congruency of Triangles
	Quadrilaterals
		Trapezium
		Parallelogram
		Rhombus
		Rectangle
	Square
	Polygon
	Circles
	Arcs and Sectors
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 2: Mensuration
	Areas of Plane Figures
		Triangles
		Quadrilaterals
		Circle
	Areas and Volumes of Solids
		Prism
		Cuboid or Rectangular Solid
		Cube
		Cylinder
		Pyramid
		Cone
		Cone Frustum
		Frustum of a Pyramid
		Torus
		Sphere
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 3: Trigonometry
	Measurement of angles
		Important Conversions
		Graphs of Sine, Cosine and Tangent Functions
		Other Standard Results
	Heights and Distances
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 4: Coordinate Geometry
	Integer Line
	Rectangular Coordinates
	Ordered Pair
	X-Coordinate and Y-Coordinate
	Solved Examples
		Parallel and Intersecting Lines
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 5: Functions and Graphs
	Functions
	Graphs
		Line Graphs
	Solved Examples
		Graphs Based on Modulus Function
	Solved Examples
		A Note on Even and Odd Functions
		Even Functions
		Odd Functions
		Composition of Functions
		Graphs of Other Standard Functions
		Reflecting Graphs—Symmetry
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 6: Inequalities
	Notations
	Absolute Value
	Interval Notation
	Solved Examples
		Some Useful Models
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 7: Special Equations
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 8: Permutations and Combinations
	Permutations
	Combinations
		Total Number of Combinations
		Dividing Given Items Into Groups
		Circular Permutations
		Rank of a Word
		Some Additional Points
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 9: Probability
	Deterministic and Probabilistic Phenomena
	Biased and Unbiased Experiments
		Equally likely events
		Compound Events
		Definition of Probability
	Solved Examples
	Expected Value
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Chapter 10: Statistics
	I. Measures of Central Tendencies
		1. Arithmetic Mean (AM)(x–)
		2. Geometric Mean (GM)
		3. Harmonic Mean (HM)
		4. Median
		5. Mode
		Empirical Formula
	II. Measures of Dispersion
		1. Range
		2. Quartile Deviation (QD) or Semi Inter Quartile Range
		3. Mean Deviation (MD)
		4. Standard Deviation (SD)
		5. Skewness
	Solved Examples
	Practice Exercises
		Exercise 1
		Exercise 2
	Answer Keys
		Exercise 1
		Exercise 2
	Solutions
		Exercise 1
		Exercise 2
Practice Tests
	Practice Test 1
	Answer Keys
	Practice Test 2
	Answer Keys
	Practice Test 3
	Answer Keys
	Practice Test 4
	Answer Keys
	Practice Test 5
	Answer Keys
Solutions
	Practice Test 1
	Practice Test 2
	Practice Test 3
	Practice Test 4
	Practice Test 5