Aurora: The Secret Within

Relevance:
*) piano puzzle -- magic mechanism
*) re-assembling torn letter -- really a jigsaw puzzle, but a fair abstraction
   of the problem
*) wine bottles -- magic mechanism

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Real-time:
*) hide in the closet at Reid's house -- easy
*) jump into the trolley -- easy
*) get key from pocket at hotel -- easy
*) cut wires of bomb -- slightly difficult, since you also have to cut them at
   the right spot

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Reasonability:
*) professor's quiz -- requires untaught (by game) real world knowledge; but
   there is an alternate solution if you fail

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Comments:
*) get archive key from librarian by calling her away -- not really difficult,
   but nicely lateral