I fee good about chemistry and mathematics with top scores and I have top score in physics too but physics doesn’t interest me like chem and maths. I want to study engineering. Which field of engineering should I pursue? Any advice for me would be gladly appreciated.
Stop by your nearest public or college library and ask for “Occupational Outlook Handbook” which should be shelved in the “Reference” section. Browse through the Engineering section of the book. This reference book is a wonderful source that profiles all kinds of occupations in detail. By the time you go through the Engineering section, I’m confident that you’ll have a much better idea of which engineering field is best or better suited for you.
https://www.bls.gov/ooh/architecture-and-engineering/mobile/home.ht
They also have some of the handbook online – not sure how if differs from the physical copy
^^ All the better! Just save the OP a trip to a library! 
@A2Graduate if studying at Princeton, you might consider Chemical and Biological Engineering (https://www.princeton.edu/cbe/undergrad/), and taking the ISC program (http://lsi.princeton.edu/integratedscience). Very difficult, but rewarding. With that education you could go into many different fields or graduate studies.
What are the requirements for scholarship in this subject?