The Chicken Nugget Conundrum

The Puzzler

RAY: You can clearly buy six, you can clearly buy nine, you can obviously buy 12, 15 we've established, 18, 20, 21 you can keep going. Now, if you can buy 15, of course you can buy 30, 45, and you can buy 90.

TOM: Right.

RAY: OK. And if you can buy 18 you can buy 36 and 72. And if you can buy 20, you can buy all the multiples of 100: 1,000, 10,000, 100,000, a million, etcetera.

I kept working upwards, and there were some holes. I couldn't buy 31 for example. I couldn't buy 37, I couldn't buy 43, but then a strange thing happened.

I found out that I could buy 44, 45, 46, 47.

Now if I could buy 46, I could buy 92. Once I got to 43, I realized that was the largest number that I couldn't buy.

TOM: So, we're giving the prize to whomever said 43. And that person is Raven Deerwater from Mendocino, California, and for having her answer selected at random from among all the correct answers that we got, Raven is going to get a 26-dollar gift certificate to the Shameless Commerce Division at with which she can get the silver, black and red Car Talk Plaza baseball jersey.

[ Car Talk Puzzler ]

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