Not a very smart move IMO. Especially for biz, you'd want to start your career in the private sector before going into CS. It's better that way for the experience. Also, how "reputable" is your university? Not to sound condescending, but overseas business courses are considered as dumping grounds, the reverse of what occurs here in Sg. For most reputable overseas Uni that provides a good business education, it's usually at the post-grad level.

Try to choose a ministry where you can use your skills and that interests you true most. Don't force yourself into a prestigious ministry just for glory.