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

Description

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