There is one actually in my knowledge: Diploma competitive exam.Diploma is a course of 3 years after class 10th.You can't do 11th and 12th class if you are doing diploma.After diploma you can do btech and can enter directly to 3rd semester.

• But in my opinion you should join good school and complete your 12th with any of the stream.After it you can give entrance exams for your respective stream.