So I have not been this interested in chess for a very long time indeed. This problem was posed to me by someone who has recently become experienced in chess and also participated in a chess tournament, in which he did fairly well considering his level of experience.
The rules as stated in the title of this post are: White to move, checkmate in 1.
The board stands as follows. Please excuse what I expect is improper notation. I am trying my best.
[FEN "8/kPR5/5Q2/8/8/8/6B1/4K3 w - - 0 1"]
From my own deductions, the only possible way in which to even begin to solve the problem is by the move: b7/b8. However I have yet to figure out how altering the piece into which the pawn is transformed can have an effect on the eventual outcome of the scenario, seeing as the black king can simply take whichever piece I decide to transform the pawn into.
The last hint I was given by the person who posed to question to me was that the relationship between the piece into which the pawn is transformed and the black king, is paramount to the solution.
Please help. All the chess engines I have tried using after an absurd amount of time trying to figure it out by myself and with the help of others have also failed me.
All helpful tips/hints/advice/directions which may lead to the correct answer are welcome.