The topics like Differential Equations, Topology, Complex Analysis, Linear Algebra, Elementary Number theory and Abstract Algebra, play a key role in many competitive examinations. This book specially designed for graduate students. It helps the students, who are appearing for competitive exams like CSIR-NET, SET, GATE, JAM, PG CET, and RESCET etc. It is also meant for who are looking for jobs like Assistant Professors, Lecturers, Assistant Statistical Officers (ASO), Forest Range Officers (FRO), Gazetted and Non-Gazetted Officers and Assistant Director in Economic and Statistical Services (ADES). This book contains 1540 objective type questions. I wish the readers to get success in their endeavours.