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

Geometry And Higher Mathematics For The Cat And Other Mba Examinations Is The Latest Series By T.i.m.e. And Introduces Students To The Key Areas Of Geometry And Higher Mathematics, Empowering Them To Crack The All-important Management Examinations. These Books Are Designed To Not Only Provide Students With A Comprehensive Understanding Of The Required Concepts, But Also To Teach Them The Application Of These Concepts. Keeping Pace With The Times, This New Series Takes Into Account The Changes In The Nature Of Questions Asked In These Examinations. Cover 1 Contents 4 Preface 6 Chapter 1: Geometry 8 Angles and Lines 8 Parallel Lines 9 Triangles 10 Geometric Centres of a Triangle 13 Circumcentre 13 Incentre and Excentres 13 Orthocentre 14 Centroid 14 Similarity of Triangles 15 Congruency of Triangles 17 Quadrilaterals 18 Trapezium 19 Parallelogram 19 Rhombus 20 Rectangle 21 Square 21 Polygon 21 Circles 22 Arcs and Sectors 25 Solved Examples 26 Practice Exercises 32 Exercise 1 32 Exercise 2 36 Answer Keys 42 Exercise 1 42 Exercise 2 43 Solutions 43 Exercise 1 43 Exercise 2 49 Chapter 2: Mensuration 64 Areas of Plane Figures 64 Triangles 64 Quadrilaterals 65 Circle 66 Areas and Volumes of Solids 66 Prism 66 Cuboid or Rectangular Solid 67 Cube 67 Cylinder 67 Pyramid 67 Cone 68 Cone Frustum 69 Frustum of a Pyramid 69 Torus 69 Sphere 70 Solved Examples 70 Practice Exercises 78 Exercise 1 78 Exercise 2 81 Answer Keys 86 Exercise 1 86 Exercise 2 86 Solutions 87 Exercise 1 87 Exercise 2 93 Chapter 3: Trigonometry 106 Measurement of angles 106 Important Conversions 107 Graphs of Sine, Cosine and Tangent Functions 108 Other Standard Results 109 Heights and Distances 110 Solved Examples 110 Practice Exercises 113 Exercise 1 113 Exercise 2 115 Answer Keys 118 Exercise 1 118 Exercise 2 118 Solutions 118 Exercise 1 118 Exercise 2 121 Chapter 4: Coordinate Geometry 128 Integer Line 128 Rectangular Coordinates 128 Ordered Pair 129 X-Coordinate and Y-Coordinate 129 Solved Examples 130 Parallel and Intersecting Lines 140 Practice Exercises 145 Exercise 1 145 Exercise 2 146 Answer Keys 148 Exercise 1 148 Exercise 2 148 Solutions 148 Exercise 1 148 Exercise 2 151 Chapter 5: Functions and Graphs 156 Functions 156 Graphs 162 Line Graphs 163 Solved Examples 166 Graphs Based on Modulus Function 167 Solved Examples 169 A Note on Even and Odd Functions 175 Even Functions 175 Odd Functions 175 Composition of Functions 176 Graphs of Other Standard Functions 176 Reflecting Graphs—Symmetry 180 Solved Examples 184 Practice Exercises 196 Exercise 1 196 Exercise 2 200 Answer Keys 206 Exercise 1 206 Exercise 2 206 Solutions 206 Exercise 1 206 Exercise 2 209 Chapter 6: Inequalities 216 Notations 216 Absolute Value 218 Interval Notation 218 Solved Examples 219 Some Useful Models 221 Practice Exercises 223 Exercise 1 223 Exercise 2 224 Answer Keys 226 Exercise 1 226 Exercise 2 226 Solutions 227 Exercise 1 227 Exercise 2 229 Chapter 7: Special Equations 238 Solved Examples 238 Practice Exercises 243 Exercise 1 243 Exercise 2 244 Answer Keys 247 Exercise 1 247 Exercise 2 247 Solutions 247 Exercise 1 247 Exercise 2 251 Chapter 8: Permutations and Combinations 258 Permutations 258 Combinations 259 Total Number of Combinations 261 Dividing Given Items Into Groups 262 Circular Permutations 262 Rank of a Word 264 Some Additional Points 265 Solved Examples 265 Practice Exercises 272 Exercise 1 272 Exercise 2 274 Answer Keys 276 Exercise 1 276 Exercise 2 277 Solutions 277 Exercise 1 277 Exercise 2 279 Chapter 9: Probability 286 Deterministic and Probabilistic Phenomena 286 Biased and Unbiased Experiments 286 Equally likely events 287 Compound Events 287 Definition of Probability 287 Solved Examples 288 Expected Value 296 Practice Exercises 298 Exercise 1 298 Exercise 2 300 Answer Keys 303 Exercise 1 303 Exercise 2 303 Solutions 303 Exercise 1 303 Exercise 2 306 Chapter 10: Statistics 312 I. Measures of Central Tendencies 312 1. Arithmetic Mean (AM)(x–) 313 2. Geometric Mean (GM) 313 3. Harmonic Mean (HM) 314 4. Median 314 5. Mode 314 Empirical Formula 315 II. Measures of Dispersion 315 1. Range 315 2. Quartile Deviation (QD) or Semi Inter Quartile Range 315 3. Mean Deviation (MD) 317 4. Standard Deviation (SD) 317 5. Skewness 318 Solved Examples 319 Practice Exercises 323 Exercise 1 323 Exercise 2 324 Answer Keys 326 Exercise 1 326 Exercise 2 326 Solutions 327 Exercise 1 327 Exercise 2 329 Practice Tests 334 Practice Test 1 336 Answer Keys 340 Practice Test 2 341 Answer Keys 345 Practice Test 3 346 Answer Keys 349 Practice Test 4 350 Answer Keys 353 Practice Test 5 354 Answer Keys 358 Solutions 360 Practice Test 1 362 Practice Test 2 370 Practice Test 3 376 Practice Test 4 382 Practice Test 5 389 This latest series by T.I.M.E. introduces the students to the key areas of algebra, arithmetic, and geometry and higher mathematics, empowering them to crack the all-important management examinations. These books are designed to not only provide students with a comprehensive understanding of the required concepts, but also to teach them the application of these concepts. Keeping pace with the times, this new series takes into account the changes in the nature of questions asked in these examinations.