please read terms and condition for being eligible to apply for post . is there any such condition laid down that only those who have cleared from bharthi dasan university are eligible to apply?
. in event no such condition is laid down the TRB cannot refuse to consider your application .
even if such a condition is laid down you can challenge the same as you have cleared state eligibility Test for lectureship .further in other states basic requirement is only that you have to clear MSc in said subject .since you are highly qualified your application must be considered on merits . contact a local lawyer . file writ petition in Madras high court
