Here's one that I just solved:
White has just taken our knight with
1. Rxd5. So, we're down a knight for a pawn. How do we proceed?
Well, we have four different ways of capturing the rook: 1...exd5, 1...Nxd5, 1...Bxd5, and 1...Rxd5.
Out of those. 1...Nxd5?? can be dismissed immediately, because that allows 2. Qxf7#. But, which of the other three is correct?
Well, after we take the rook, White's next move will likely be 2. Bxf6 (and then after 2...Bxf6 3. Qxf6, material will be equal: White will have a knight and a bishop for a rook and a pawn). So, do any of those three rook captures give us an alternative second move, that gives us an advantage?
Well, 1...exd5 and 1...Bxd5 don't really give us anything. But 1...Rxd5! does! The point is that, after 2. Bxf6, we now have 2...Rd4!, threatening the queen. The only way for the queen to maintain the defence of the bishop is 3. Qg5 - but then, after 3...h6, the queen is forced to move away, allowing 4...Bxf6.
So, did you see the correct move - and
why it was the correct move?