In the past decade and a half, the entrance exam for IITs has seen many changes—in structure as well as in design of the question paper. No doubt, it has become more challenging. It requires high level of conceptual clarity and analytical skill, besides promptness and comprehension ability to excel in this exam. There are frequent surprises in terms of problems which require mathematical rigor or in depth understanding of physical conditions. This book is being presented with a very simple objective—it will test you and nurture you on all parameters which are required to excel in JEE exam.