Teacher

For a regular teaching position, B.Tech is not the qualification for mathematics. You have to do PG in the same for the position of a teacher in mathematics.

Yes, your qualification is sufficient to be employed as teacher in government schools provided that you have cleared any entrance or eligibility test (if organised by that state or central government). I would suggest for further promotions or for high salaried teacher job pursue any master degree. Any specialisation in any particular field will also get weightage. Smart classes are now becoming integral part of our education system.

Good job. If you want to study further, opt for B.Ed. You can appear for S.I, BO exam.

Hello,
Yes, you can pursue B.Ed after completing B.Com in order to become a teacher.

The selection is made on the basis of a Test. Reservations are followed. The list is prepared on basis of merit. It is getting highly competitive, just like Police selection.

There are certificate courses available for counseling. You can also take up a job right away.