Yes, Please write TANCET exam.

Usually 85% seats are alloted for state quota and remaining 15% for All India quota.Having a score of 40-50 will help you to secure a seat in  Anna University if you belong to the state.For others according to the previous year cut off a score of 50 above will have a high chance.The first preference will be given to GATE and then TANCET qualified students based on the order of your merit. So better write TANCET.

Hii

Its hard to say as because lot many factors depends on your caste ,specially aged ,graduation percentage , so i would like to suggest you to check our tool for PSU & Colleges , kindly refer the below link along with the check the cut off as well

Https://engineering.careers360.com/gate-college-predictor?icn=GATE-clgpd&ici=clevertap-exit-intent

Https://engineering.careers360.com/articles/gate-cutoff-for-iits

Regards