Can I take addmission for b tech + m tech without any entrance exam?

The eligibility criteria for five years of Integrated Dual Degree B.Tech.+ M.Tech. Courses offered at Uniraj Jaipur are

• Admission will be made simply based on merit in worldwide/national level placement tests like JEE (Advanced), JEE (Main), NEET, and so on, or XII Board Examination. 
• The candidate should have passed the XII (10+2) with science subjects. The least qualification will be a 55% score or identical evaluation in the Senior Secondary Examination of RBSE or CBSE or comparable.

So, you will have to appear for entrance exams to get admission into Rajasthan University BTech+MTech course.