To answer a “completely determines” question, you should look at the scenarios + the rules and think about what makes something else happen. That “something else” is the key, since determining everything requires a chain reaction that forces 3-5 things to occur.
Here’s are the scenarios and rules for reference:
We can more or less ignore A and C for now. F and H aren’t totally interchangeable, but they practically are, so these are very nearly the same answer. Interchangeable answers can’t be right. (While rule 3 does place H in Tokyo, H in Tokyo isn’t a sufficient condition for anything else.)
D and E have the same issue. They’re the same, except one is F and one is H. Interchangeable answers can’t both be right. (And, since G or H in Tokyo isn’t a sufficient condition for anything, these answers don’t force anything else to happen.)
So let’s try B. Placing G in two cities forces G into Manila and Tokyo, since G can’t go in Sydney (rule 4)
This in turn triggers rule 3 (G Manila ➞ H Tokyo). So, this is a promising answer, because it forces another thing to happen. Let’s draw it:
Next, we know Ibanez has to go in two spots. I placed one Ibanez in Sydney. There are only two cities with space open: Manila and Sydney. So Ibanez must go in both:
We have to place each person at least once, and we haven’t placed F. So, we have to put F in Sydney:
Everything is determined. B is CORRECT.
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