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Cutoffs vary every year depending upon the difficulty level of paper, number of seats available and number of qualifying candidates
According to previous year's cutoffs the closing rank for B.Tech Biotechnology in MIT Manipal was 16048 in the first round. The closing rank for Biotechnology in the final round was 26415.
As your rank is 24420, you have chances to get B.Tech biotechnology in the 3rd round of counselling.

Other than biotechnology, if you are interested in any other course then with your rank you can get the following courses in the 3rd round:

• Chemical Engineering
• Civil Engineering
• Biomedical Engineering
• Media Technology
• Industrial Production

To know more about previous year's cutoffs for various branches kindly visit:
https://engineering.careers360.com/articles/met-cutoff

Hope this helps
All the best