Dear Rajagopal,

Yes, you can apply in TNEA in other state quota.

There will be no entrance exam admissions will be based on 12th class.

Other state candidates are eligible for admission to 50 seats that are offered by various departments of Anna University, Chennai, through TNEA. Candidates who are of Indian nationality but not a native of Tamil Nadu will be able to apply under the Other State Quota.

Anna University will release the TNEA 2018 application form tentatively in the 1st week of May in online mode. 

To know in detail you can refer below link

https://engineering.careers360.com/articles/tnea-application-form

 Good Luck!!