<p>I think the best way to start out with this is to go into physics. A physics major can do both things. Like I mentioned in another thread, I made a thread a long time ago about majoring in physics for undergraduate asking if engineering graduate school was an option. The answer was a yes, and, conveniently, I’ve met a few people who have actually done this. Physics majors can also go on to medical school as you probably know, and you can keep doing your mathematics and physics (which is pretty much like engineering except that you learn the theory behind the methods of engineering at a more fundamental level) while keeping both options open for yourself. Getting a 3.8 in physics is difficult but not totally outlandish, whereas engineering is very highly improbable.</p>
<p>Also, you might want to note that physics majors score the highest on the MCAT (and GRE, and LSAT, etc.)…</p>