As you say, when they get into the workplace, if they need to know something, they're going to Google it. By limiting the resources they can use when answering exam questions, you are increasing the distance between education and the workplace - who does that help?
So set them realistic problems and let your students solve them by hook or by crook, just they way they'll solve them when they're on a payroll.
At least that way, the students who do well on the test will be the ones who will do well in industry, as opposed to the current situation, where we have engineers who can do CFD by hand, but can't tell the difference between Aluminium and Steel.