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If you are leaning toward business or biochemical engineering, you possibly should consider a school that offers both. Those are not liberal arts majors, however. If you do go to a business or engineering school, you will have requirements to take some liberal arts courses, but the required curriculum in such schools won't give you too much room for other subjects. Some of the more selective universities with engineering programs (e.g., Harvard, Northwestern) allow more options for studying other subjects. Some of the more selective universities also do not have undergraduate business programs.
You also could go to a liberal arts college, or to a college of arts & sciences within a larger university, and major in economics (for your business interests), or in chemistry or biochemistry. You could do a business degree in a graduate program, or, with the right coursework, you might be able to enter some fields of engineering in a graduate program.
Some liberal arts colleges also have 3-2 programs with a certain university engineering schools (Columbia U and Washington U are two of the universities that have such affiliations with a number of liberal arts colleges); you would go to the liberal arts college for 3 years, then transfer to the engineering school for 2 years. You would earn a BA from the college and a BS from the engineering school. If you do this, however, many of your elective courses at the liberal arts college will be taken up by math and science prerequisites for the engineering school to which you plan to transfer. This won't leave much room for exploring other liberal arts courses that might interest you.
Since you're only a sophomore, you still have time to think about what direction to take. You have good test scores, and if your grades and other stats are at the same level, you should have a wide choice of schools.
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