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Synopsis This book differs from an ordinary text book. It contains exceptional study material for those entering colleges, vocational schools etc., which can also be useful at school level, and the knowledge of it in many competitive exams. The material in part I is presented in a new form. It contains speed calculations by various methods. The methods described will provide the reader faster and easier ways to add, subtract, multiply, divide and take square roots etc. One can apply them at home or at business, to save time. These methods require no special ability in mathematics. If you can do ordinary mathematics, there will be no trouble in using these methods. The material in Part II is about numbers. The beauty of pyramid numbers and triangular numbers and some special numbers are in this part of the book. In quick to quicker multiplication many methods have been described to the masses by mathematicians. In part III, a collection of familiar puzzles in the form of geometric figures and mental ability questions is made. It also contains certain special geometric and algebraic problems.