There is no upper age limit. As you are a graduate then the criteria for you is-You must hold Graduation degree and have passed or appearing in final year of 2-year Diploma in Elementary Education or Graduation with at least 50% marks and passed or appearing in final year of Bachelor of Education (B.Ed). You can fill online application form of TNTET from May 2020. All applicants will be able to fill the application form in online mode till April 2020. You must meet the eligibility criteria before they start filling the TNTET application form.
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