Puzzle 1:
White: Laszlo Szabo Black: Samuel Reshevsky
White to move
Answer:
1. Qxg6+ Bg7 2. Qxg7# if Kh8 instead of Bg7, Bxf6#. This was not played in the game, instead of Qxg6+, Bxf6 was played.
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Puzzle 2:
White: Ossip Bernstein Black: Jose Raul Capablanca
Black to move
Answer:
1... Qb2! White resigned. If 2. Qxb2, Rd1#; If 2. Qe1, Qxc3; if 1. Rc8, Qa1+; 2. Qf1, Qxf1; 3. Kxf1, Rxc8
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Puzzles 3:
White: Lewis Black: Dayton
Black to move
Answer:
1. ..., Ne2+; 2. Kf1 (if Kh1 Nf2#), N2g3 (N4g3 is the same); 3. hxg3, Nxg3#
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Puzzle 4:
White: Rowena Mary Bruce Black: Helga Ursla Axt
White to move
Answer:
16. Qxh7+ Kxh7 17. Rh3+ Kg8 18. Ne7# or Nf6#
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Puzzle 4:
White: Pavlo Vorontsov Black: Kayden Troff
Black to move
Answer:
Re2 is the only move.
If 27...., gxf6 28. Rxf5, exf5 29. Rxe8 Qxe8 30. Nxf6+, Kf8 (Kg7 31. Qg5+ Kh8 32. Nxe8) 31. Qh6+, Ke7 32. Nxe8.
If 27...., Qd7 28. Qg5 leads to mate
If 27...., Qc8 28. Nh6+ gxh6 (if Nxh6 Qg5 is mating) 29. Qg4+ ,Kf8 30. Rxf5, Rd8 (black can't recapture because of Qg7#) 31. Qg7+, Ke8 32. Bxd8 (Qd8 allows Qxf7# and Kd8 allows Rxf7 and black is lost)
After 27..., Re2; it's best for white to capture 28. Nh6+, Nxh6 29. Qxe2, gxf6 and black's king is quite safe. If 28. Rd1 gxf6 and there is no real attack for white anymore. 28. Rxe2, Qc7 29. Rfe4, Bxe4 30. Qg5, Rc8 31. Bb2, Qd8 32. Nf6+, Kh8 33. Rd2, Qxf6 White resigned 34. Bxf6 is not possible because of Rc1+ leading to mate and after 33. Qxf6 34. Qxf6 gxf6