Colleges in Uttar Pradesh

In the written admission test there are two parts: one is MMA and the other is PQB.
In MMA there are 30 MCQ questions each carrying 4 marks from 10+2 level. According to me the level of questions is between JEE Main and JEE Advanced mathematics question paper. So prepare well. Any JEE Advanced book is suggested. Also solve the previous question papers and some sample papers from ISI website, then you'll have an idea of the question pattern.
In PQB section there are 10 or 11 questions and you need to solve 6 questions each carrying 20 marks, so total 120 marks. Here people from mechanical background will get an advantage over other departments as the syllabus content mostly matches with their B.Tech(B.E) syllabus. In this section previous year questions are being repeated sometimes, so solve all the previous year questions. The level of the questions in this section is comparatively easy. For this section I suggest any GATE Mechanical book (preferably Arihant Publication). The electrical & electronics part you'll not get here, for that case consult those problems to any ECE or EE guys and get the reference of any good book. For engineering drawing, there are basically two types of questions. one is Isometric Projection view of a machinery component will be given and you need to draw the Orthographic Projection view. Other one is just the vice versa. Follow some YouTube videos for this.

As both Shiv Nadar and SASTRA are good for pursuing B.Tech. But, I reccomend you to go for SASTRA University. There are lots of streams available for you like B.Tech in CSE, IT, ME, civil engineering, chemical engineering, Biomedical engineering, Biotechnology, Food technology, Electrical engineering, EEE, Electronics, Automobile engineering and others. The most important thing which rely totally on your area of your interest. When you are sure about your area of interest then you can choose the above engineering streams for pursuing your graduation. There may not be many institutes and universities which will be offering you all such engineering courses in one campus. You should prefer the university or institute which offers you good placements and good practical and industrial exposure also and should have good infrastructure also.