Just when you thought the school year was winding down, high-achieving Ivy League students are ready to leap into action again. Life at Princeton can be competitive and downright cutthroat, depending on your major, and nowhere is this more clear than when it comes to summer internships. Whether you’re doing community service in a developing country or learning what it’s really like to be a money-grubbing I-banker, it’s all about building the resume.

The institutions that hire college interns don’t …