According to the answer key released by various institutes, I am scoring 176 marks out of 200. Is there any chance of me getting selected?
Your score is good and in most of the states you may qualify the cutoffs, the actual cutoffs will be released by March end for most of the states, so after actual cutoff, you will be able to check whether you have qualified or not you can check previous years cutoffs at the link below:
https://school.careers360.com/articles/ntse-cutoff