Hello Suman,

First of all you have chosen one of the Noble profession.Before I tell you what exams you should take I would like to walk you through the eligibility criteria for taking up the exams:-

1)PRE PRIMARY TEACHER:- The basic qualification needed to become a PRE PRIMARY TEACHER is a bachelor's degree along with Nursery Teacher Training.

2)Primary Teacher:-The basic qualification needed is a graduate degree along with Bachelor in Education (B.Ed) degree with 50% aggregate marks and 5% relaxation is given for SC/ST candidates. The person must graduate in one of the teaching subjects. Also,to be a Primary Teacher one has to clear the Teacher Eligibility Test(TET). TET is mandatory for teaching students in class 1 to 8 in government schools

3)Trained Graduate Teacher - The eligibility of which is graduate and Bachelor's in Education(B.ed) degree.

4)Post Graduate Teacher - The eligibility of which is post graduation along with Bachelor's in Education(B.ed) degree. Post graduate Teacher need not take Teacher Eligibility Test(TET).

Having walked you through different eligibility criteria now let's cater your question

There are three levels of teaching jobs Primary Teacher,Trained Graduate Teacher and Post Graduate Teacher.

Primary Teacher can teach upto class 5.Trained Graduate Teacher can teach upto 10th level and Post Graduate Teacher can Teach upto 12th level.

Several State and Central Government has released post for Primary Teacher and Graduate Teacher

Here are some of them 

1)Board - Chattisgarh Vyapam 

 Post Name - Assistant Teacher, Lecturer

   Total Vacancy - 14577

 Last date to apply - 12th May & 16th June 2019

Details - CG Vyapam Notification 2019

2)BOARD - HPSSC

     POST NAME - PRT TEACHER 

      Last Date to apply - 4th April,2019

      Details - HPSSC Notification

3)Board- Karnataka Education Board

Post - Graduate PRT Teacher 

Total Vacancy - 10611

Last Date - 20 March 2019

Details - Karnataka Teacher Notification

4) Board - Samagra Shiksha Abhiyan

Post - TGT Teacher

Total Vacancy -196 22 

Last Date - March 2019

Details - Samagra Shiksha Notification

5)Board- Andhra Pradesh DSC

Post - School Assistant

Total Vacancy - 602 

Last Date - 12 March 2019

Details - AP DSC Notification

6) Board - BHU Notification

Post - Teaching & Non-Teaching Post

Total Vacancy - 1305

Last Date - 18 Feb 2019

Details - BHU Notification

Apart from these there are also various Central level exams such as Kendriya Vidyalaya Sangathan,Navodaya Vidyalaya Sangathan,Army Education Welfare Society

Apart from this if you want any other information feel free to ask.