There is a possibility that your SSC MTS application might be rejected due to the mistake of entering "Others" instead of "Board of Secondary Education Andhra Pradesh" for your 10th board name. However, it doesn't necessarily mean complete rejection.

The Staff Selection Commission (SSC) usually opens a window for application form correction after the initial application deadline. This allows candidates to rectify any mistakes made while filling out the form. You can check the official SSC website for notifications regarding the correction window for the SSC MTS application (it might be closed now, but future applications might follow a similar process).

Before submitting your application in the future, carefully review all the information you have entered to ensure accuracy and avoid similar mistakes. While applying, keep scanned copies of your 10th mark sheet and other relevant documents handy. These can be helpful for verification purposes in case of any discrepancies.

https://competition.careers360.com/exams/ssc-mts

I hope it helps!