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This book has been prepared in line with the requirements of national and international Olympiad examinations. The questions are carefully chosen to suit the needs of Olympiad aspirants and to provide highest level of clarity for Mathematical concepts. This book also provides deep insights about the origin of important formulae and equations by eminent Mathematicians. The exercises are designed and graded from simple to difficult level to enable the Students' to build, check and challenge their understanding. Features -Solved Problems Build-up Your Understanding Check Your Understanding Challenge Your Understanding Table of Contents Polynomials Inequalities Mathematical Induction Recurrence Relations Functional Equations Number Theory Combinotrics Geometry