The book presents complete solutions to all the problems in University Algebra by the same author. For the sake of completeness the problems are repeated before giving the solutions. The book can, therefore, be used independently as a Problem/Solution book in Algebra rather than just being a key to University Algebra. The solutions are presented in a simple, clear and lucid style. The practice of giving just the hints is avoided. The solutions cannot be memorised and reproduced in the examinations. The aim of the book is to make the students understand the theory presented in University Algebra in a better way by using this book as supplementary to the original book,