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Yes, a B.Tech in Computer Science with a B.Ed degree may be eligible to apply for the post of Trained Graduate Teacher (TGT) in Mathematics in the Kendriya Vidyalaya Sangathan (KVS), which is a network of central government schools in India. To be eligible for the TGT Mathematics position in KVS, you must meet the following minimum eligibility criteria:
You must have a Bachelor's degree in any discipline with at least 50% marks, along with a B.Ed degree. You must have studied Mathematics as a subject at the undergraduate level. You must have qualified the Central Teacher Eligibility Test (CTET) conducted by the Central Board of Secondary Education (CBSE). Please note that these are the minimum eligibility criteria, and meeting these requirements does not guarantee that you will be selected for the TGT Mathematics position. The final selection will depend on your performance in the selection process, which may include a written exam and an interview. I suggest that you visit the KVS website to get the latest information on the eligibility criteria and the selection process for the TGT Mathematics position, as the details may change from time to time.

Engineering and social sciences are totally different sciences. One cannot really compare these two streams. There are some courses which demand specific degree for applying eg: clinical psychology, MBA etc. The remaining courses ask for any degree. You can go through the courses mentioned on the website, and if your interests match the subjects of the course, you can apply for it. I am an engineer myself and chose Public Policy, Governance, and Development Studies as my preferences for admission after finding that these two courses are of my interest. I have not chosen HRM&LR, which happens to be the most sought-after course in TISS, because I have no aptitude for management. Likewise, it all depends on your interests and needs, which show you a path to building your future.