You want to know about the Iitd gate syllabus and papers of GATE.

List of GATE paper

Aerospace Engineering
Agricultural Engineering
Mathematics
Architecture and Planning
Mechanical Engineering
Biotechnology
Mining Engineering
Civil Engineering
Metallurgical Engineering
Chemical Engineering
Physics
Instrumentation Engineering
Computer Science and Information Technology
Production and Industrial Engineering
Chemistry
Textile Engineering and Fibre Science
Electronics and Communication Engineering
Engineering Sciences
Electrical Engineering
Life Sciences
Geology and Geophysics

Note:XE (Engineering Sciences) and XL (Life Sciences) papers are of general nature and will comprise of the sections listed in the above table

XE Paper(syllabus)
A candidate appearing in the XE paper has to answer the following
1. Section Engineering Mathematics (compulsory)
2. GA – General Aptitude (compulsory)
3. Choose any two section given below (Fluid Mechanics, Materials Science, Solid Mechanics, Thermodynamics, Polymer Science and Engineering, Food Technology)

XL Paper
A candidate appearing in the XL paper has to answer the following
1. Section H – Chemistry (compulsory)
2. GA – General Aptitude (compulsory)
3. Any two of XL sections (Biochemistry, Botany, Microbiology, Zoology, and Food Technology)