Puzzles

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A rope burns non-uniformly for exactly one hour.  How do you measure 45 minutes, given two such ropes?

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 Fill the squares with numbers 1-8 such that no two consecutive numbers are placed next to each other in any direction vertically, horizontally or diagonally.

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The forgetful scientist changed his password, but wrote a list of hintson a sticky note to help him remember what it was. Can you figure out his password?

1111 = R

2222 = T

3333 = E

4444 = N

5555 = Y