"Suppose You Have Four Cookies..."

So there I was, posting over at BlameBush! (Liberal Larry posted about the reported monitoring for radiation from the streets that's been in the news) when, unbidden, the "four cookies" question emerged from the darkest recesses of my brain. For those who don't remember from their qual boards, here it is:

"Suppose you have four cookies: A gamma cookie, a neutron cookie, a beta cookie, and an alpha cookie. You have to eat one, put one in your pocket, hold one in your hand, and throw the other away. Which do you do with each, and why?"

Amazingly, at all the boards I asked this question, no one ever gave the best answer: "It depends on the curie content of each." Assuming the curie contents are the same, though, the answer is -- in the comments.