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Graduate Aptitude Test in Engineering (GATE), conducted every year by the Indian Institute of Science (IISc) Bangalore, and seven Indian Institutes of Technology (IITs), is an all-India examination that primarily tests the candidates’ comprehensive understanding of undergraduate level subjects in Engineering/Technology/Architecture and post-graduate level subjects in Science. The GATE examination consists of a single paper of 3-hour duration containing 65 questions carrying a maximum of 100 marks. The GATE score of a candidate is used for admissions to various post-graduate education programs (e.g. Master of Engineering, Master of Technology, Doctor of Philosophy, etc.) in Indian higher education institutes, with financial assistance provided by Ministry of Human Resource development (MHRD) and other government agencies. GATE scores are also being used these days by several Indian public sector undertakings (PSUs), i.e. government-owned companies for recruiting graduate engineers in entry-level positions. The book contains previous years’ solved papers (with both objective type questions and numerical answer type questions) in the subject of Mathematics from the year 2003 to 2014. Answer Keys to all the questions in each paper have been provided for self-check. Explanations have also been given for complete understanding by the candidates. Besides, five Brain Teaser Tests of 25 questions each have also been included with Answer Keys and Hints and Solutions. Solving these tests without looking at the answers will help the candidates judge their own level of competence to appear in this examination. The book will be useful for those preparing for GATE in the subject of Mathematics. It will give them a feel of the type of questions asked in this examination. It will also help the candidates revise the important questions in the entire syllabus and enhance their self-confidence.