"To preform specific useful computing tasks, like word processing and calculation" is the correct answer. This is the whole purpose of system software. The third answer is some other type of software(third party software?) and the fourth answer is most likely a compiler. Those are the easiest to take off. The second could also work.
The two answers I would go with are the first and the second.
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For the list of application, either check in the book or come up with yourself.
All application not depend on the 32 bit or 64 bit processor.
