Three Solutions

The three chess problems presented in 'Socks!?'

http://marshtowers.blogspot.com/2007/12/socks.html

...attracted considerable interest.

Here, to put some of you out of your misery, are the solutions.

1) There are 23 ways to give check to the Black King in three moves. You should be able work them out now!

2) 'White’s first move is 1 e4. Can you construct a game is which the final move is a Knight taking a Rook and delivering checkmate?'

1 e4 Nf6 2 f3 Nxe4 3 Qe2 Ng3 4 Qxe7+ Qxe7 5 Kf2

and now 5 ...Nxh1 mate

3) As already indicated in the 'comments', White can achieve a mate in four moves if the opponent promises to copy.

1 d4 d5 2 Qd3 Qd6 3 Qf5 Qf4 (or even 3 Qh3 Qh6) 4 Qxc8 mate would do just nicely.