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Cheryl's Birthday Problem (from SASMO 2015) and Solution

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Hello! Nat here, and in this blog, I am going to discuss and give the solution to the famous Cheryl birthday problem. This was popular because it is a difficult logic puzzle and involving the ability of carefully tracking down hints in the conversation and working with only a small amount of data. Here’s the question: Albert and Bernard just became friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates. May 15           May 16           May 19 June 17          June 18 July 14           July 16 August 14       August 15       August 17 Cheryl then tells Albert and Bernard separately the month and the day of her birthday respectively. Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know too. Bernard: At first I don’t know whe...