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After independence, In India we have two types of universities, one that offers degrees in many fields like Sciences, Arts and Engineering too, and the second set of universities (were named asinstitutes) offer only degrees in engineering. Universities those offer other degrees along with engineering named their engineering degree as BE (Bachelor of Engineering) and Institute constituted for only Engineering studies named their degree as B.Tech (Bachelor of Technology)
simply one can have a broad idea that,
BE is knowledge oriented.
B Tech is skill oriented.
BE is more theoritical and B Tech is more practical. In BE we study the reasons also in depth.
Well, in other countries there may be some difference between B.E and B.Tech but in the Indian educational systems there are hardly any institutes that hold their actual meaning

If your are getting 60% in class 12th then it means you are an average student. But sometimes this is not true. Sometimes due to the some circumstances some people get lower marks than their ability. 60% mark is not bad. You passed the 12th class with first division. But If you want to do B.Sc. You will have to give some extra time to cover or learn the syllabus of class 12 because B.Sc. Is totally based on class 12th syllabus. There are many subjects in B.Sc. Like Calculus, Advanced Calculus, ODE, PDE. For doing the problems of these subjects you should have knowledge of function, integration, Differentiation and many chapters of class 12th mathematics. If you are not able to give some extra time to give to your studies then go for B.A. This is good for u. There are many good courses in B.A. Also like B.A. (Economics), B.A. Foreign language etc.