This app was mentioned in 6 comments, with an average of 1.50 upvotes
Could it be Yesterday? I've managed to find a walkthrough and it specifically mentions a master that challenges you to guess how many fingers he's lifting behind his back. The rest also seems to match your description.
It's a point-and-cluck adventure with great story. It's old, and won't run on most modern devices, hence the rating.
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