Hey there

You have not mentioned what type of competition you are preparing. Patna has very large amount of coaching institutes from engineering preparation to goverment jobs preparation like ssc, railways etc. But you can prepare at home with much less money and at your own pace with careers360

Please check the link

https://www.google.com/url?sa=t&source=web&rct=j&url=https://learn.careers360.com/&ved=2ahUKEwjXk8m0lp3pAhX14jgGHQJlCsoQFjAAegQIBxAD&usg=AOvVaw1ygKzacnBaQOPGaLiWbSgF&cshid=1588697260928

Good luck