You would be fine saying that you want to go into General Management. No need to mention trainee etc, as they are fully aware of what opportunities exist. You might want to make sure the school has strong links to the Tech firms you are looking form then you can explain the reasons "why x" and, obviously, the reasoning behind the career choice are probably pretty well thought out.
It is certainly reasonable. Google, Intel, Apple et al all have paths at various schools.
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