I don't really care much about amazon because I hear they monopolize your life and have an aggressive culture. However, I do like me some puzzles:<p>1. The passage is about the good and bad of fanfiction which is posted on the internet. I pedantically disagree with the exact reading of response 2, but it's the correct one, I believe.<p>2. Only conclusion 1 is necessarily true, because of the transitive property of inequalities; X ? Y and Z/Y can be rewritten as X < Y <= Z. However, we cannot relate any magnitude information to V and it is not necessarily true that a number becomes larger when multiplied by another number (if we assume X is zero and V is positive, for instance).<p>3. These kinds of spot-the-pattern questions are incredibly arbitrary. However, the most obvious thing to associate with the alphabet is a numerical association with the letters based on it's placement in the common (but not universal) ordering of the Latin alphabet. When you do that, you see that UVS is the only sequence of letters that aren't "descending" even though letters can't truly be ordered.<p>4. The No Free Lunch Theorem says that no statistical method can find a pattern on the set of all possible inputs, which is why these questions are all bullshit, mathematically speaking. The only thing that makes 4 a better next step for the sequence 1, 2, 3, is that our own personal experience tells us that counting is fairly common, but enumerating the squarefree numbers isn't. You could also make the case that 27:24 has the pattern of 3^3:3^3-3, so maybe 64:x is 4^3:4^3-4 making it 60, but this doesn't feel in any way obvious to me, so I have no idea what they're thinking.